ESTIMATION OF SUPERPLASTICIZER DOSAGE TO ACHIEVE …...CERTIFICATE . I certify that the work...
Transcript of ESTIMATION OF SUPERPLASTICIZER DOSAGE TO ACHIEVE …...CERTIFICATE . I certify that the work...
ESTIMATION OF SUPERPLASTICIZER DOSAGE TO ACHIEVE DESIRED WORKABILITY OF
CEMENT MORTAR
A Thesis submitted to Gujarat Technological University
for the Award of
Doctor of Philosophy
in
Civil Engineering by
Parth Kirtikumar Thaker Enrollment No.: 119997106011
under supervision of
Dr. Narendra K. Arora
GUJARAT TECHNOLOGICAL UNIVERSITY
AHMEDABAD
September 2018
© Parth Kirtikumar Thaker
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DECLARATION
I declare that the thesis entitled “Estimation of Superplasticizer Dosage to Achieve Desired Workability of Cement Mortar” submitted by me for the degree of Doctor of Philosophy is the record of research work carried out by me during the period from July 2011 to December 2017 under the supervision of Prof. Narendra K. Arora and this has not formed the basis for the award of any degree, diploma, associateship, fellowship, titles in this or any other University or other institution of higher learning.
I further declare that the material obtained from other sources has been duly acknowledged in the thesis. I shall be solely responsible for any plagiarism or other irregularities, if noticed in the thesis. Signature of the Research Scholar: …………………………… Date: 15-09-2018 Name of Research Scholar: Parth Kirtikumar Thaker Place : Ahmedabad
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CERTIFICATE
I certify that the work incorporated in the thesis “Estimation of Superplasticizer Dosage to Achieve Desired Workability of Cement Mortar” submitted by Parth Kirtikumar Thaker was carried out by the candidate under my supervision/guidance. To the best of my knowledge: (i) the candidate has not submitted the same research work to any other institution for any degree/diploma, Associateship, Fellowship or other similar titles (ii) the thesis submitted is a record of original research work done by the Research Scholar during the period of study under my supervision, and (iii) the thesis represents independent research work on the part of the Research Scholar. Signature of Supervisor: ……………………………… Date: 15-09-2018 Name of Supervisor: Prof. Narendra K. Arora Professor & Principal, Lukhdhirji Engineering College, Morbi Place: Ahmedabad
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Course-work Completion Certificate
This is to certify that Parth Kirtikumar Thaker enrolment no. 119997106011is a PhD
scholar enrolled for PhD program in the branch Civil Engineering of Gujarat
Technological University, Ahmedabad
(Please tick the relevant option(s))
He/She has been exempted from the course-work (successfully completed during
M.Phil Course)
He/She has been exempted from Research Methodology Course only (successfully
completed during M.Phil Course)
He/She has successfully completed the PhD course work for the partial requirement
for the award of PhD Degree. His/ Her performance in the course work is as
follows-
Grade Obtained in Research
Methodology (PH001)
Grade Obtained in Self Study Course (Core
Subject) (PH002)
AB AB
Supervisor’s Sign (Prof. Narendra K. Arora)
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Originality Report Certificate
It is certified that PhD Thesis titled “Estimation of Superplasticizer Dosage to Achieve
Desired Workability of Cement Mortar” by Mr. Parth Kirtikumar Thaker has been
examined by us. We undertake the following:
a. Thesis has significant new work / knowledge as compared already published or are under consideration to be published elsewhere. No sentence, equation, diagram, table, paragraph or section has been copied verbatim from previous work unless it is placed under quotation marks and duly referenced.
b. The work presented is original and own work of the author (i.e. there is no plagiarism). No ideas, processes, results or words of others have been presented as Author own work.
c. There is no fabrication of data or results which have been compiled / analyzed.
d. There is no falsification by manipulating research materials, equipment or processes, or changing or omitting data or results such that the research is not accurately represented in the research record.
e. The thesis has been checked using https://turnitin.com (copy of originality report attached) and found within limits as per GTU Plagiarism Policy and instructions issued from time to time (i.e. permitted similarity index <=25%).
Signature of the Research Scholar : …………………………… Date: 15-09-2018 Name of Research Scholar: Parth Kirtikumar Thaker Place : Ahmedabad Signature of Supervisor: ……………………………… Date: 15-09-2018 Name of Supervisor: Prof. Narendra K. Arora Place: Ahmedabad
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Turnitin- Report
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PHD THESIS Non-Exclusive License to GUJARAT TECHNOLOGICAL UNIVERSITY
In consideration of being a PhD Research Scholar at GTU and in the interests of the
facilitation of research at GTU and elsewhere, I, Parth Kirtikumar Thaker, having
Enrollment No. 119997106011 hereby grant a non-exclusive, royalty free and perpetual
license to GTU on the following terms:
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mentioned in paragraph (a);
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under the authority of their “Thesis Non-Exclusive License”;
d) The University Copyright Notice © shall appear on all copies made under the
authority of this license;
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Archives. Any abstract submitted with the thesis will be considered to form part of
the thesis.
f) I represent that my thesis is my original work, does not infringe any rights of
others, including privacy rights, and that I have the right to make the grant
conferred by this nonexclusive license.
g) If third party copyrighted material was included in my thesis for which, under the
terms of the Copyright Act, written permission from the copyright owners is
required, I have obtained such permission from the copyright owners to do the acts
mentioned in paragraph (a) above for the full term of copyright protection.
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h) I retain copyright ownership and moral rights in my thesis, and may deal with the
copyright in my thesis, in any way consistent with rights granted by me to my
University in this non-exclusive license.
i) I further promise to inform any person to whom I may hereafter assign or license
my copyright in my thesis of the rights granted by me to my University in this non-
exclusive license.
j) I am aware of and agree to accept the conditions and regulations of PhD including
all policy matters related to authorship and plagiarism.
Signature of the Research Scholar: ……………………………… Name of Research Scholar: Parth Kirtikumar Thaker Date 15-09-2018 Place: Ahmedabad Signature of Supervisor: ……………………………… Name of Supervisor: Prof. Narendra K. Arora Date 15-09-2018 Place: Ahmedabad Seal:
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Thesis Approval Form
The viva-voce of the PhD Thesis submitted by Parth Kirtikumar
Thaker (Enrollment No. 119997106011) entitled “Estimation of Superplasticizer
Dosage to Achieve Desired Workability of Cement Mortar” was conducted on
15-09-2018, Saturday at Gujarat Technological University.
(Please tick any one of the following option) The performance of the candidate was satisfactory. We recommend that he/she be
awarded the PhD degree.
Any further modifications in research work recommended by the panel after 3 months from the date of first viva-voce upon request of the Supervisor or request of Independent Research scholar after which viva-voce can be re-conducted by the same panel again.
The performance of the candidate was unsatisfactory. We recommend that he/she should not be awarded the PhD degree.
Dr. Narendra K. Arora (Supervisor) Professor & Principal, Lukhdhirji Engineering College, Morbi
1) (External Examiner 1) Name and Signature 2) (External Examiner 2) Name and Signature
3) (External Examiner 3) Name and Signature
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ABSTRACT
In recent years, the construction industry has changed significantly and demand greater
speed of construction has arisen. At present, concrete is not just a material which
comprises of cement, water, and aggregate, most concrete also incorporates chemical or
mineral admixtures. Concrete properties in the fresh state particularly workability; is very
much dependent on fresh properties of cement paste phase and mortar phase, therefore,
significant research efforts are put in to understand fresh properties of cement paste and
mortar. A complete understanding of mortar or concrete workability, therefore, must
include a thorough understanding of the cement paste that holds and binds the fine
aggregate, and mortar that holds the coarse aggregate.
Workability of cement mortar and dosage of superplasticizer are affected by various
parameters such as water-cement ratio, grading of fine aggregate, the shape of aggregate,
surface characteristic, and volume of aggregate. Therefore, to resolve the problems
encountered in the development of desired workable mortar, it is necessary to estimate
dosage of superplasticizer. Estimation of superplasticizer dosage for the desired
workability can result in time-saving, efforts and materials for testing, and overall human
efforts in conducting trials.
A variation in the characteristic of cement and type and dosage of superplasticizer creates
compatibility issues. Marsh cone test and Mini-slump test are performed to study the
behavior of superplasticized cement paste.
In this research, an experimental investigation methodology is designed to study the effect
of water-cement ratio, the dosage of superplasticizer, and characteristics of fine aggregate
on the flow behavior of cement mortar.
For each water-cement ratio, optimum dosage of superplasticizer (ODS) has found out. Six
different dosages of superplasticizer are taken to study the effect of superplasticizer on
cement mortar workability i.e. 0% ODS (without superplasticizer), 0.25 ODS, 0.50 ODS,
0.75 ODS, 1.0 ODS, and 1.25 ODS.
To study the effect of fine aggregate characteristics on flow behaviour of cement mortar
five different fractions of fine aggregate (4.75mm to 2.36mm, 2.36mm to 1.18mm,
1.18mm to 0.60mm, 0.60mm to 0.30mm and 0.30mm to 0.15mm) and four different zones
of fine aggregate (zone-I, zone-II, zone-III, zone-IV) as per Bureau of Indian Standard
Specifications IS: 383-1970 are used in the present research work. Flow behavior of
cement mortar is studied using a modified Mini flow-table test.
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Flow characteristic is affected by the introduction of aggregate in cement paste which is
mainly governed by volume, grading, shape, and surface characteristics of aggregate. The
influence of characteristics of fine aggregate such as volume, grading, shape, and surface
characteristics of aggregate are considered in terms of surface area of fine aggregate.
Digital image analysis technique is used to determine the surface area of fine aggregate.
Statistical analysis is carried out using SPSS software to develop correlation amongst
superplasticizer dosage, flow behavior of cement mortar, water-cement ratio, and surface
area of fine aggregate. Finally, a proposed methodology to estimate the superplasticizer
dosage for the desired workability of cement mortar was developed. It is recommended
that using the same approach, a model can be developed for concrete to estimation
superplasticizer dosage for the desired workability of concrete.
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Acknowledgement
I am extremely grateful and deeply indebted to my Supervisor Prof. Narendra K. Arora,
Professor & Principal, Lukhdhirji Engineering College, Morbi for his scholarly guidance,
constructive suggestions, constant encouragement and continuous support given
throughout my research. I am grateful to him for holding me to a high research standard
and for imbibing in me research culture.
I would like to extend my sincere thanks to my Foreign Co-Supervisor Dr. Ramesh
Subramanian, Professor and Director, Bharti School of Engineering, Laurentian
University, Canada for his unrelenting support, critical feedback and valuable suggestions.
Besides my advisors, I would like to thank my Doctoral Progress Committee members Dr.
C. D. Modera, Professor, S.V.N.I.T., Surat and Dr. A.K. Verma, Professor and Head,
B.V.M Engineering College., Vallabh Vidyanagar, for their insightful comments and
encouragement, which provided impetus to widen my research from different
perspectives.
My hearty thanks and gratitude to Dr. Devanshu Pandit, Professor, Faculty of
Technology, CEPT University, Ahmedabad for their motivation and moral support
throughout this work. I highly thank Dr. Prakash Nanthagopalan, IIT, Bombay for his
feedback regarding my research. My special thanks to Dr. H.S. Patel, Head of Applied
Mechanics Department, Government Engineering College, Patan and Dr. Rajul Gajjar,
Principal, V.G.E.C., Chandkheda for offering their support and encouragements.
I shall take this opportunity to express my deep thanks to the Faculty of Technology,
CEPT University for providing laboratory facilities for the experimental work.
I would like to pay my sincere thanks to my dear friends Aneri Mehta, Nikita Shah, and
Dev Shah for continuous support in accomplishing this research work.
Any word of acknowledgment to my parents, Shakuntala Thaker and Kirtikumar
Thaker may not be sufficient; I dedicate these work and thesis to my parents.
Parth Kirtikumar Thaker
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Table of Contents DECLARATION ................................................................................................................... ii
CERTIFICATE ..................................................................................................................... iii
Course-work Completion Certificate .................................................................................... iv
Originality Report Certificate ................................................................................................ v
PHD THESIS Non-Exclusive License to GUJARAT TECHNOLOGICAL UNIVERSITY
............................................................................................................................................. vii
Thesis Approval Form .......................................................................................................... ix
ABSTRACT ........................................................................................................................... x
Acknowledgement ............................................................................................................... xii
Chapter 1 Introduction ...................................................................................................... 1
General .................................................................................................................... 1 1.1
Workability ............................................................................................................. 1 1.2
1.2.1 Definition ......................................................................................................... 2
Factors Affecting Workability ................................................................................ 2 1.3
1.3.1 Water Content .................................................................................................. 2
1.3.2 Cement Content ............................................................................................... 2
1.3.3 Aggregate Characteristics ................................................................................ 3
1.3.4 Use of Admixtures ........................................................................................... 3
Admixtures .............................................................................................................. 4 1.4
Classification of Admixtures................................................................................... 4 1.5
Superplasticizer ....................................................................................................... 4 1.6
1.6.1 Mechanism of Action of Superplasticizer ....................................................... 5
1.6.2 Advantages and Disadvantages of Superplasticizer ........................................ 6
1.6.3 Estimation of Superplasticizers ....................................................................... 6
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1.6.4 Field Problems in Use of the Superplasticizers ............................................... 7
Need of Study .......................................................................................................... 8 1.7
Research Questions ................................................................................................. 9 1.8
Objective and Scope of Research Work .................................................................. 9 1.9
Organization of Thesis ...................................................................................... 10 1.10
Chapter 2 Literature Review .......................................................................................... 11
General .................................................................................................................. 11 2.1
Workability Measurement Tests and Flow Characteristic of Cement Paste and 2.2
Mortar .............................................................................................................................. 11
Aggregate Shape Characteristics Assessment Techniques ................................... 16 2.3
Particle Shape and Size ......................................................................................... 16 2.4
Particle Characteristic Measurement Technologies .............................................. 18 2.5
2.5.1. Sieve Analysis ................................................................................................ 19
2.5.2. Fluid Sedimentation Method ......................................................................... 20
2.5.3. Laser Diffraction Spectroscopy ..................................................................... 22
2.5.4. Digital Image Analysis .................................................................................. 22
Literature Review Summary ................................................................................. 26 2.6
Chapter 3 Experimental Materials and Basic Properties ................................................ 28
General .................................................................................................................. 28 3.1
Cement .................................................................................................................. 28 3.2
3.2.1 Precaution and Handling of Cement .............................................................. 29
Fine Aggregate ...................................................................................................... 29 3.3
Superplasticizer ..................................................................................................... 31 3.4
Water ..................................................................................................................... 32 3.5
Chapter 4 Experimental Program ................................................................................... 33
General .................................................................................................................. 33 4.1
Research Methodology .......................................................................................... 33 4.2
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Phase I Pilot Study ................................................................................................ 35 4.3
4.3.1 Materials ........................................................................................................ 35
4.3.2 Flow Characteristic of Cement Mortar (Marsh Cone Test) ........................... 36
4.3.3 Consistency of Fresh Cement Mortar (Mini Flow Table Test) ..................... 37
4.3.4 Marsh Cone Test Results and Discussion ...................................................... 37
4.3.5 Mini Flow Table Test Results and Discussion .............................................. 37
4.3.6 Summary ........................................................................................................ 38
Phase II Characterization of Aggregate Grading, Shape and Size ........................ 38 4.4
4.4.1 Surface Area Measurement for Fine Aggregate Particles ............................. 39
4.4.2 Digital Image Analysis .................................................................................. 40
4.4.3 Image Acquisition Process ............................................................................. 40
4.4.4 Image Analysis Process ................................................................................. 41
4.4.5 Validation of Digital Image Analysis ............................................................ 45
4.4.6 Weight to Number of Particle Relationship ................................................... 46
4.4.7 Determination of Surface Area of Given Sample .......................................... 48
Phase III Selection of Superplasticizer i.e. Compatibility Study .......................... 48 4.5
4.5.1 Marsh Cone Test for Cement Paste ............................................................... 49
4.5.2 Mini-slump Test for Cement Paste ................................................................ 49
Phase IV Cement Mortar Workability Study ........................................................ 50 4.6
4.6.1 Measurement of Cement Mortar Workability ............................................... 50
Phase V Statistical Analysis of Test Results ......................................................... 53 4.7
Phase VI Prediction Model for Superplasticizer Dosage to Obtain Desired 4.8
Workability ...................................................................................................................... 53
Chapter 5 Test Results Analysis and Validation ............................................................ 54
General .................................................................................................................. 54 5.1
Digital Image Analysis Test Results for Fine Aggregate Particles ....................... 54 5.2
Cement Superplasticizer Compatibility Test Results ............................................ 58 5.3
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5.3.1 Superplasticizer-1 (SNF-F1) .......................................................................... 59
5.3.2 Superplasticizer-2 (SNF-B1) ......................................................................... 60
5.3.3 Superplasticizer-3 (SMF-S1) ......................................................................... 61
5.3.4 Superplasticizer-4 (PCE-B1) ......................................................................... 63
5.3.5 Summary of compatibility study .................................................................... 64
Workability of Cement Mortar for Different Fractions ........................................ 64 5.4
5.4.1 Fraction F1 (4.75mm to 2.36mm) .................................................................. 65
5.4.2 Fraction F2 (2.36mm to 1.18mm) .................................................................. 67
5.4.3 Fraction F3 (1.18mm to 0.60mm) .................................................................. 68
5.4.4 Fraction F4 (0.60mm to 0.30mm) .................................................................. 70
5.4.5 Fraction F5 (0.30mm to 0.15mm) .................................................................. 72
Workability of Cement Mortar for Different Zones ............................................. 74 5.5
5.5.1 Zone I (Manufactured) ................................................................................... 75
5.5.2 Zone-II (Manufactured) ................................................................................. 77
5.5.3 Zone-III (Manufactured) ................................................................................ 79
5.5.4 Zone-IV (Manufactured) ................................................................................ 81
Summary of Workability Test Results .................................................................. 83 5.6
Statistical Analysis ................................................................................................ 85 5.7
Validation of Developed Correlation .................................................................... 86 5.8
Proposed Methodology for prediction of superplasticizer .................................... 89 5.9
Chapter 6 Conclusions and Recommendations .............................................................. 91
Conclusions ........................................................................................................... 91 6.1
Recommendations for Future Work ...................................................................... 92 6.2
References ............................................................................................................................ 93
Publications .......................................................................................................................... 99
Appendix A : Surface Area of 30 Particles for Different Fractions ............................. 100
Appendix B : Weight to Number of Particle Relationship for Different Fractions ...... 102
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Appendix C : Surface Area Calculation ....................................................................... 103
Appendix D : Workability of Cement Mortar for Different Fractions ......................... 106
Appendix E : Workability of Cement Mortar for Different Zones .............................. 121
Appendix F : Validation of Developed Models ........................................................... 133
Appendix G : Flow Chart of Proposed Methodology ................................................... 147
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List of Notations L = longest axes
I= intermediate axes
S= shortest axes
D= particle diameter in cm
ɳ= fluid viscosity in poise
g = acceleration due to gravity in cm/ sec2
h=distance in centimeter through which particle falls in time t in sec
ρp=particle density in g/ml
ρf=fluid density in g/ml
Rf= final radius of rotation in cm
Ro= initial radius of rotation in cm
w= rotational velocity in radians/sec
t= time required to sediment from Ro to Rf in sec
Ap=Area of the particle outline
Da=Diameter of a circle with an area equal to that of the particle outline
Dc=Diameter of smallest circumscribed circle
Pp=Perimeter of particle outline
Pa=Perimeter of a circle of the same area as particle outline
Ac=Area of the smallest circumscribing circle
Dinsc=Diameter of the largest inscribed circle
Pconv=Perimeter, convex
Y= Surface area of single particle in mm2
X= Average of sample passing and retaining sieve size in mm
U= superplasticizer dosage
u= superplasticizer dosage
u1=water cement ratio (unitless)
u2= surface area of fine aggregate in mm2
u3 = average flow diameter of cement mortar in mm
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List of Figures FIGURE 1.1 Diagrammatic Illustration of Mechanisms by which Superplasticizers can
Disperse Cement Particles (P.K. Mehta) ............................................................................... 5
FIGURE 2.1 Classification of Workability Test by Tattersall ............................................ 12
FIGURE 2.2 Marsh Cone for Cement Paste ........................................................................ 12
FIGURE 2.3 Marsh Cone Flow Time Versus Initial Reference Volume ............................ 12
FIGURE 2.4 Visual Assessment of Shape Characteristic of Particle by Ahn (a) Derived
From Measurements of Sphericity and Roundness (b) Based Upon Morphological
Observations ........................................................................................................................ 17
FIGURE 2.5 Different Technologies for Analyzing Particle Characteristic ....................... 18
FIGURE 2.6 Graphical Representation of Accuracy Various Technologies for Wide Range
of Particles ........................................................................................................................... 19
FIGURE 2.7 Sieving Method versus Particle Size .............................................................. 20
FIGURE 2.8 Illustration of Sample Tray And Aggregate ................................................... 25
FIGURE 3.1 Cement Storage .............................................................................................. 29
FIGURE 3.2 Different Superplasticizers ............................................................................. 31
FIGURE 4.1 Flow Chart of Research Methodology ........................................................... 34
FIGURE 4.2 Set Up for Marsh Cone Test ........................................................................... 36
FIGURE 4.3 Original Mini Flow Table Test Setup ............................................................. 37
FIGURE 4.4 Modified Mini Flow Table Test Setup ........................................................... 37
FIGURE 4.5 Various Fractions of Fine Aggregate ............................................................. 38
FIGURE 4.6 Flowchart for Digital Image Analysis ............................................................ 39
FIGURE 4.7 Image Acquisition System.............................................................................. 40
FIGURE 4.8 Flow Chart of Surface Area Calculation of Particle ....................................... 42
FIGURE 4.9 Measurement of Coin Diameter by Vernier Caliper ...................................... 45
FIGURE 4.10 Measurement of Particle Dimension by Vernier Caliper ............................. 46
FIGURE 4.11 Particle Image for Analysis .......................................................................... 46
FIGURE 4.12 Weighing Balance ........................................................................................ 47
Figure 4.13 Flow Chart for Compatibility Study ................................................................. 48
FIGURE 4.14 Mini Slump Test Set Up ............................................................................... 49
FIGURE 4.15 Hobart Mixture ............................................................................................. 50
FIGURE 4.16 Stiff Mix ....................................................................................................... 51
FIGURE 4.17 Bleeding and Segregation ............................................................................. 51
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FIGURE 4.18 Flow Chart for Workability of Cement Mortar ............................................ 52
FIGURE 5.1Histogram of Surface Area (mm2) for Fraction 4.75mm to 2.36mm .............. 55
FIGURE 5.2 Histogram of Surface Area (mm2) for Fraction 2.36 to 1.18mm ................... 55
FIGURE 5.3 Histogram of Surface Area (mm2) for Fraction 1.18mm to 0.60mm ............. 56
FIGURE 5.4 Histogram of Surface Area (mm2) for Fraction 0.60mm to 0.30mm ............. 56
FIGURE 5.5 Histogram of Surface Area (mm2) for Fraction 0.30mm to 0.15mm ............. 57
FIGURE 5.6 Linear Regression of Surface Area and Average Sieve Size Opening ........... 58
FIGURE 5.7 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.30 and Fine Aggregate Fraction F1 ...................... 65
FIGURE 5.8 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.40 and Fine Aggregate Fraction F1 ...................... 66
FIGURE 5.9 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.50 and Fine Aggregate Fraction F1 ...................... 66
FIGURE 5.10 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.30 and Fine Aggregate Fraction F2 ...................... 67
FIGURE 5.11 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.40 and Fine Aggregate Fraction F2 ...................... 67
FIGURE 5.12 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.50 and Fine Aggregate Fraction F2 ...................... 68
FIGURE 5.13 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.30 and Fine Aggregate Fraction F3 ...................... 69
FIGURE 5.14 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.40 and Fine Aggregate Fraction F3 ...................... 69
FIGURE 5.15 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.50 and Fine Aggregate Fraction F3 ...................... 70
FIGURE 5.16 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.30 and Fine Aggregate Fraction F4 ...................... 71
FIGURE 5.17 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.40 and Fine Aggregate Fraction F4 ...................... 71
FIGURE 5.18 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.50 and Fine Aggregate Fraction F4 ...................... 72
FIGURE 5.19 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.30 and Fine Aggregate Fraction F5 ...................... 73
xx
FIGURE 5.20 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.40 and Fine Aggregate Fraction F5 ...................... 73
FIGURE 5.21 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.50 and Fine Aggregate Fraction F5 ...................... 74
FIGURE 5.22 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.30 and Fine Aggregate Zone I .............................. 75
FIGURE 5.23 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.40 and Fine Aggregate Zone I .............................. 76
FIGURE 5.24 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.50 and Fine Aggregate Zone I .............................. 76
FIGURE 5.25 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.30 and Fine Aggregate Zone II ............................. 77
FIGURE 5.26 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.40 and Fine Aggregate Zone II ............................. 78
FIGURE 5.27 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.50 and Fine Aggregate Zone II ............................. 78
FIGURE 5.28 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.30 and Fine Aggregate Zone III ............................ 79
FIGURE 5.29 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.40 and Fine Aggregate Zone III ............................ 80
FIGURE 5.30 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.50 and Fine Aggregate Zone III ............................ 80
FIGURE 5.31 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.30 and Fine Aggregate Zone IV ............................ 81
FIGURE 5.32 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.40 and Fine Aggregate Zone IV ............................ 82
FIGURE 5.33 Influence of Surface Area and Superplasticizer Dosage on Cement Mortar
Workability for Water Cement Ratio 0.50 and Fine Aggregate Zone IV ............................ 82
FIGURE 5.34 Location of Collected Sample for Validation ............................................... 87
FIGURE A.1 Particles surface area for fraction 4.75mm to 2.36mm ............................... 100
FIGURE A.2 Particles surface area for fraction 2.36mm to 1.18mm ............................... 100
FIGURE A.3 Particles surface area for fraction 1.18mm to 0.60mm ............................... 100
FIGURE A.4 Particles surface area for fraction 0.60mm to 0.30mm ............................... 101
FIGURE A.5 Particles surface area for fraction 0.30mm to 0.15mm ............................... 101
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List of Tables TABLE 2.1 List of Shape Describing Quantities (Rodriguez et al., 2008) ........................ 23
TABLE 3.1 Physical Properties of Cement (Brand: UltraTech Cement) ............................ 28
TABLE 3.2 Zone of Fine Aggregate as per IS-383:1970 ................................................... 30
TABLE 3.3 Manufactured Sand Zone (MFZ) from Various Fractions ............................... 30
TABLE 3.4 Properties of superplasticizers ......................................................................... 32
TABLE 4.1 Sieve Analysis of Fine Aggregates .................................................................. 35
TABLE 4.2 Determination of Surface Area of Particle by Image J .................................... 43
TABLE 4.3 Digital Image analysis results of Particle by ImageJ ....................................... 46
TABLE 4.4 Weight to number of particles .......................................................................... 47
TABLE 5.1 Calculation of Surface Area (2D) and Weight ................................................. 57
TABLE 5.2 Test Results of Polynaphthalene Sulphonate Superplasticizer (SNF-F1) ........ 60
TABLE 5.3 Test Results of Polynaphthalene Sulphonate Superplasticizer (SNF-B1) ....... 61
TABLE 5.4 Test Results Of Melamine Formaldehyde Superplasticizer(SMF-S1) ............ 62
TABLE 5.5 Test Results of Polycarboxylic Ether Superplasticizer (PCE-B1) ................... 63
TABLE 5.6 Summary of Cement Superplasticizer Compatibility Study ............................ 64
TABLE 5.7 Detail of Nine Models for Regression Analysis .............................................. 85
TABLE 5.8 Summary of Models ......................................................................................... 86
TABLE 5.9 Details of Sand Samples .................................................................................. 87
TABLE 5.10 Variations in Predicated and Actual Workability .......................................... 88
TABLE C.1 Manufactured Sand Zone 1(MFZ-1) from Different Fractions ..................... 103
TABLE C.2 Surface Area Calculation .............................................................................. 103
TABLE C.3 Surface Area of Different Manufactured Zone ............................................. 104
TABLE C.4 Surface Area Calculation for Different Fractions ......................................... 104
TABLE C.5 Surface Area of Different Fractions .............................................................. 104
TABLE C.6 Sieve Analysis ............................................................................................... 105
TABLE C.7 Surface Area Calculation of Random Sample ............................................... 105
TABLE D.1 W/C Ratio 0.30 and Fine Aggregate Fraction F1 (4.75 to 2.36mm) ............ 106
TABLE D.2 W/C Ratio 0.40 and Fine Aggregate Fraction F1 (4.75 to 2.36mm) ............ 107
TABLE D.3 W/C Ratio 0.50 and Fine Aggregate Fraction F1 (4.75 to 2.36mm) ............ 108
TABLE D.4 W/C Ratio 0.30 and Fine Aggregate Fraction F2 (2.36 to 1.18mm) ............ 109
TABLE D.5 W/C Ratio 0.40 and Fine Aggregate Fraction F2 (2.36 to 1.18mm) ............ 110
TABLE D.6 W/C Ratio 0.50 and Fine Aggregate Fraction F2 (2.36 to 1.18mm) ............ 111
xxii
TABLE D.7 W/C Ratio 0.30 and Fine Aggregate Fraction F3 (1.18 to 0.60mm) ............ 112
TABLE D.8 W/C Ratio 0.40 and Fine Aggregate Fraction F3 (1.18 to 0.60mm) ............ 113
TABLE D.9 W/C Ratio 0.50 and Fine Aggregate Fraction F3 (1.18 to 0.60mm) ............ 114
TABLE D.10 W/C Ratio 0.30 and Fine Aggregate Fraction F4 (0.60 to 0.30mm) .......... 115
TABLE D.11 W/C Ratio 0.40 and Fine Aggregate Fraction F4 (0.60 to 0.30mm) .......... 116
TABLE D.12 W/C Ratio 0.50 and Fine Aggregate Fraction F4 (0.60 to 0.30mm) .......... 117
TABLE D.13 W/C Ratio 0.30 and Fine Aggregate Fraction F5 (0.30 to 0.15mm) .......... 118
TABLE D.14 W/C Ratio 0.40 and Fine Aggregate Fraction F5 (0.30 to 0.15mm) .......... 119
TABLE D.15 W/C Ratio 0.50 and Fine Aggregate Fraction F5 (0.30 to 0.15mm) .......... 120
TABLE E.1 W/C Ratio 0.30 and Manufactured Sand Zone I ........................................... 121
TABLE E.2 W/C Ratio 0.40 and Manufactured Sand Zone I ........................................... 122
TABLE E.3 W/C Ratio 0.50 and Manufactured Sand Zone I ........................................... 123
TABLE E.4 W/C Ratio 0.30 and Manufactured Sand Zone II .......................................... 124
TABLE E.5 W/C Ratio 0.40 and Manufactured Sand Zone II .......................................... 125
TABLE E.6 W/C Ratio 0.50 and Manufactured Sand Zone II .......................................... 126
TABLE E.7 W/C Ratio 0.30 and Manufactured Sand Zone III ........................................ 127
TABLE E.8 W/C Ratio 0.40 and Manufactured Sand Zone III ........................................ 128
TABLE E.9 W/C Ratio 0.50 and Manufactured Sand Zone III ........................................ 129
TABLE E.10 W/C Ratio 0.30 and Manufactured Sand Zone IV ...................................... 130
TABLE E.11 W/C Ratio 0.40 and Manufactured Sand Zone IV ...................................... 131
TABLE E.12 W/C Ratio 0.50 and Manufactured Sand Zone IV ...................................... 132
TABLE F.1 Sieve Analysis of Sample 1 (Chota Udepur) ................................................. 133
TABLE F.2 Sieve Analysis of Sample 2 (Panchmahal) .................................................... 135
TABLE F.3 Sieve Analysis of Sample 3 (Rajkot-Aji River) ............................................ 137
TABLE F.4 Sieve Analysis of Sample 4 (Junagadh) ........................................................ 139
TABLE F.5 Sieve Analysis of Sample 5 (Patan-Banas River) .......................................... 141
TABLE F.6 Sieve Analysis of Sample 6 (Kutch) .............................................................. 143
TABLE F.7 Sieve Analysis of Sample 7 (Ahmedabad-Sabarmati River) ......................... 145
xxiii
Chapter 1
Introduction
General 1.1
Concrete is widely used composite material, made of cement, aggregate, water, and
admixtures. Cement paste is considered as an active constituent of concrete, and properties
of cement paste are mainly studied to understand performance and characteristics of
concrete. The admixture is defined as a material other than water, cement, and aggregate. It
may be added to concrete before or during its mixing. It is used to get benefits such as
acceleration, retardation, air entrainment, water reduction, plasticity, etc. These benefits are
due to the action of admixture on cement paste.
Quality of fresh concrete is very much depended on fresh properties of cement paste and
mortar. Fresh concrete quality is determined by how easily concrete can be mixed,
transported, compacted and finished. Fresh properties of concrete affect the hardened
properties and ultimately durability of concrete. Hence concrete must be required to remain
homogenous during placing and after compaction so that undesirable effects such as
bleeding, segregation, honeycombing, and plastic cracking over the surface can be
avoided. These undesirable effects lead to decline quality and durability of concrete.¬
In order to produce good quality hardened concrete, which possesses required strength,
volume stability and desired durability, it is necessary to achieve desired fresh properties of
concrete, i.e. workability. The workability of cement paste, mortar, and concrete includes
properties such as flowability, cohesiveness, compactibility, consistency, and moldability.
Therefore, the term workability of concrete is subjective. To get fundamental and
quantitative information regarding fresh mix, it is required to define workability.
Workability 1.2
Workability of concrete has defined by many institutes, standards and researchers. Some of
workability definitions are given below to understand the term the workability of concrete.
1
Introduction
1.2.1 Definition
Workability of concrete is defined in ASTM C-125 [1] as “the property determining the
effort required to manipulate a freshly mixed quantity of concrete with minimum loss of
homogeneity.” The American Concrete Institute (ACI 116R-00, 73) [2] describes
workability as “that property of freshly mixed concrete or mortar that determines the ease
with which it can be mixed, placed, consolidated, and finished to a homogenous
condition.” The Japanese Association of Concrete Engineers defines workability as “that
property of freshly mixed concrete or mortar that determines the ease and homogeneity
with which it can be mixed, placed, and compacted due to its consistency, the homogeneity
with which it can be made into concrete, and the degree with which it can resist separation
of materials.” Ferraris [3] and Neville [4] defines workability as “the amount of useful
internal work necessary to produce full compaction.”
Factors Affecting Workability 1.3
Factors affecting the workability are enumerated below
1.3.1 Water Content
The water content of mix is influenced by various factors, such as workability,
environmental condition, type of cement and other cementitious supplementary material,
aggregate size, aggregate shape and aggregate texture, and chemical admixture. According
IS 10262:2009 [5]; maximum water content is directly proportionate to the maximum size
of aggregate, type of aggregate and workability of the mix. Water content is independent of
cement content, grading of the aggregate and environmental condition. Generally, at
construction sites for uncontrolled concrete, normal practice is to add more water for the
more workable mix which ultimately reduces the concrete strength. For constant water-
cement ratio, the aggregate-cement ratio increases (surface area of solid particles increases)
the workability decreases.
1.3.2 Cement Content
Cement fineness has no major influence on the workability of concrete although the finer
the cement the greater the water content requirements. Drastic reduction in cement content
2
Introduction
for given water content in conventional concrete would produce a harsh mixture. Concrete
mixture with high cement content show excellent cohesiveness but tends to be sticky.
1.3.3 Aggregate Characteristics
High coarse aggregate to fine aggregate ratio can produce low workable and harsh mixture
which exhibits segregation also. On the other hand, more amounts of fine aggregate lead
higher workability, but more fine aggregate content makes concrete less durable. The
particle size of coarse aggregate influences the water requirement for given consistency.
Bigger size particles have less surface area, therefore it requires less cement paste content
to lubricate surface to reduce internal friction. For the same cement paste content, properly
graded aggregate gives more workable mix because of least voids in the same. Shape and
surface texture of aggregate affects the workability of the mixture. For the same workable
mix, angular shape and rough texture aggregates are required more water content
compared to the rounded shape and smooth surface aggregates.
1.3.4 Use of Admixtures
After water content, the important factor which affects the workability is the admixture.
Water reducing and high range water reducing admixtures are used to increase the
consistency of the mix for constant water content. Use of appropriate dosage of plasticizer
or superplasticizer increases the workability of reference concrete (concrete without
plasticizers or superplasticizers) by many folds. Air entraining agents reduces the internal
friction between the particles. It acts as an artificial fine aggregate with the smooth surface.
Air bubbles reduce the friction between particles by ball bearing effects and give mobility
to particles. Entrained air in concrete also reduces the bleeding and segregation. Similarly,
use of fine glassy pozzolanic materials gives better workability, although having more
surface area.
There are other minor factors which affect the workability such as cement fineness, but the
influence of this is still controversial.
3
Introduction
Admixtures 1.4
Concrete admixtures are added before or at the time of mixing to enhance plastic or
hardened properties of concrete. Concrete admixtures are defined as a material other than
water, cement, aggregate, and fiber reinforcement that is used as an ingredient of mortar or
concrete mix.
Classification of Admixtures 1.5
Admixtures widely vary in chemical composition and sometimes perform more than one
function. Therefore it is difficult to classify them according to their function. As per
mechanism of action, chemical admixtures are classified into two categories. Surface
active admixtures act on the cement- water system by influencing the surface tension of
water and by absorbing on the surface of binder particles. Set controlling admixtures affect
the chemical reaction between cement compounds and water, from several minutes to
hours after addition. Mineral admixtures are finely ground insoluble materials, either from
natural sources or from byproducts of some industries.
IS 9103: 1999 “Concrete Admixture – Specification” [6] covers the chemical admixtures
including superplasticizers, to be added to cement concrete immediately before or during
the mixing to achieve the desired properties of the concrete, in plastic or hardened state. IS
9103: 1999 [6] covers the following admixtures: a) Accelerating admixtures, b) Retarding
admixtures, c) water reducing admixture, d) Air-entraining admixtures, e)
Superplasticizing admixtures. ASTM C 494 [7], “Standard Specification for Chemical
Admixtures for Concrete,” also classifies admixtures into seven types as follows: Type A
Water-reducing admixtures; Type B Retarding admixtures; Type C Accelerating
admixtures; Type D Water-reducing and retarding admixture; Type E Water-reducing and
accelerating admixtures; Type F Water-reducing, high-range, admixtures; and Type G
Water-reducing, high-range, and retarding admixtures.
Superplasticizer 1.6
Superplasticizer is also known as high range water reducing admixture. Superplasticizer
reduces three to four times water content in given concrete mixtures compared to the
mixture containing normal water reducing admixture. Superplasticizer helps in lowering
the water-cement ratio so it contributes to enhancing the durability of concrete. The
4
Introduction
chloride content in admixture shall be declared by the manufacturer. Superplasticizers are
expected to be chloride free. Admixtures which contain relatively high chloride content
may accelerate the rate of corrosion in prestressing steel.
1.6.1 Mechanism of Action of Superplasticizer
Superplasticizer consists of the long chain, high molecular weight anionic surfactants with
a large number of polar groups in the hydrocarbon chain. Superplasticizer adsorbed on
cement particles and imparts a strong negative charge, which helps the surface tension of
the surrounding water considerably and enhances the fluidity of the mix. Generally mixes
with superplasticizer do not encounter segregation because of the colloidal size of the long
chain particles of the admixture that obstructs the bleed water flow channels in concrete.
Superplasticizer creates well dispersion of cement particles in water and accelerates the
rate of hydration. Rapid loss of the consistency or slump was observed with use of the
first-generation superplasticizer.
Polyacrylates, polycarboxylic, and polyethylene- based copolymers are new generation
superplasticizer, which has comb-like molecular structures. New generation
superplasticizer works as the dominant cement dispersion mechanism, inhibition of
reactive sites through dispersion instead of electrostatic repulsion.
FIGURE 1.1 Diagrammatic Illustration of Mechanisms by which Superplasticizers
can Disperse Cement Particles (P.K. Mehta)[8]
5
Introduction
In steric repulsion, one side of the polymer chain gets adsorbed on the surface of the
cement particle, while the long unabsorbed side creates the steric repulsion. The grafted
side chains of comb superplasticizers protrude and extend from the adsorbed-cement-
surface site to hinder neighboring cement particles to reach the range within which vander
Waal’s force of attraction would be effective. Figure 1.1 illustrates these mechanisms.
Effects of steric repulsion last longer than electrostatic repulsion, therefore at lower dosage
new generation superplasticizers have greater influence over the slump retention compared
to naphthalene or melamine-sulfonate type superplasticizers.
1.6.2 Advantages and Disadvantages of Superplasticizer
There are few advantages achieved when superplasticizers are used
1. It significantly reduced the water content of mixes.
2. It also reduced the cement content.
3. It increased the workability of the mix.
4. Placement efforts reduced the use of superplasticizer.
5. More rapid rate of early strength development
6. Permeability decreased
7. Increased long-term strength and durability
Following are the disadvantages of the use of superplasticizers:
1. Use of admixture added additional cost although ease in concrete placement may be
reduced its effect
2. Compared to conventional concrete, it has greater slump loss
3. Less responsive to some cement and therefore compatibility study is required
before use of superplasticizer
4. Minor discoloration of light-coloured concrete
1.6.3 Estimation of Superplasticizers
Estimation of admixture is not easy, particularly for superplasticizers or retarder. It also
depends on fresh and hardened properties of mix and admixtures as supplied. For
estimation of admixture, analysis and data interpretation can only be done by an
experienced researcher in chemical admixtures.
6
Introduction
Estimation of admixtures (superplasticizers) as supplied is required for following purposes
1. To determine the chief organic components of the admixtures, such as
lignosulfonate, hydroxycarboxylic acids or carbohydrate. Chromatographic and
infrared (IR) spectroscopy are known techniques to identify or/and estimate the
main components of the admixtures.
2. To check whether the composition of the various admixture shipments from
manufactures is the same on IR spectrum carried out along with other simple
physical and chemical measures such as specific gravity, pH, and total solid
determination
3. To determine the amount of a particular component, such as chloride, with a
potentially damaging effect on prestressed concrete. The minimum concentration of
a component that could damage concrete should be known.
Superplasticizer specifications are provided by the manufacturer with details mentioned
above.
Estimation of admixtures in concrete is required for followings
1. To analyze the effect of superplasticizers on concrete
2. To check some problems which may be caused by water reducers such as excessive
retardation in setting time and low strength development
3. To avoid the use of improper type and dosage of admixtures
4. To solve “admixture problems” in some cases, this in fact related to concretes with
deficient in cement, or to improper batching of cement.
1.6.4 Field Problems in Use of the Superplasticizers
Use of nominal dosage of superplasticizer in very stiff (zero slumps) concrete improves the
consistency of matrix but it does not become perceptible. High dosage of superplasticizers
may increase the slump of the stiff mix but it is uneconomical. Therefore slump of
reference mix (i.e. concrete without superplasticizer) is an important parameter.
Superplasticizers and cement compatibility studies are the primary consideration for many
construction sites.
Generally, for the trial mix, laboratory mixers are inefficient when the small quantities of
superplasticizers are used. Workability of the mix is affected by the method and addition
sequence of superplasticizers. A higher quantity of dust presents in manufactured sand or
crushed sand inferences the superplasticizers dosage and mix properties. Use of natural
7
Introduction
sand or combination of crushed sand and natural sand may reduce the problem up to
certain extent.
The shape of aggregate is not of primarily significant for concrete grade up to 30 or
40Mpa. For high strength concrete i.e. 60 or 80Mpa, low water-cement ratio is required.
To achieve specific workability of high strength concrete with low water-cement ratio and
pumped or long distance transportation requirements, shape of aggregates and use of
superplasticizers become essential. Specially manufactured well graded and cubical shape
aggregates are used for high strength concrete. In cases of more flaky or elongated
particles, a dosage of superplasticizer increases to achieve the same workability of the mix.
Flaky or elongated particles have more surface area than cubical shape particles. In fact,
the surface area of aggregate depends on the shape of particles. Surface area variation is
more in the fine aggregates particles than coarse aggregate particles. Larger the surface
area of aggregates, cement paste requirements become more and eventually
superplasticizers demand increases. Superplasticizers are costly so the higher dosage of
superplasticizers makes an uneconomical mix.
Need of Study 1.7
In recent years, the construction industry has changed significantly and demand greater
speed of construction has arisen. Today concrete is not just the material which contains
cement, water, and aggregate, but most of it also incorporates chemical or mineral
admixtures. The concrete technologist has to work out mix design of concrete to achieve
required fresh and hardened properties of concrete. Properties of concrete with admixture
depend on different chemical and mineralogical compositions and proportion of admixture
(Ferraris, C. F.) [9]. Chemical interaction of cement with admixture decides the fresh and
hardened properties of concrete.
Skeleton of concrete is made of the aggregates which are inert materials. In normal
concrete, one would like to minimize the paste content and maximize the aggregate volume
fraction for an economy. Cement paste alters the interstitial void space of the dry aggregate
system. Interstitial void space varies with aggregate characteristics such as the volume of
aggregates, grading of aggregates, shape characteristics of aggregates and surface
characteristics of aggregates. All these aggregate characteristics will be represented by one
consideration i.e. the surface area of aggregates.
8
Introduction
Flow behavior of the mixture is governed by the characteristics of cement paste. Cement
paste characteristics are enhanced by adding superplasticizer. Superplasticizer is adsorbed
by cement particles and helps to release trapped water from cement flocks by separating
and deflocculating cement particles. The lack of sufficient cement paste /mortar results in a
harsh mixture that does not flow well is prone to segregation and is difficult to finish.
Therefore cement paste and mortar characteristics are studied by various researchers to
understand the behavior of concrete.
A literature study shows that cement paste is the most complicated constituent of mortar or
concrete, consisting of fine cement particles undergoing a chemical reaction with and
within a water medium (Tattersall, 1976) [10]. Superplasticizer is added to the mixture to
achieve better fluidity. Superplasticizer dosage depends on various parameters such as the
type of cement, water cement ratio i.e. availability of free water, and type of
superplasticizer. A complete understanding of mortar or concrete workability, therefore,
must include a thorough understanding of the cement paste that suspends the aggregate.
Research Questions 1.8
Based on above study, following research questions are formed:
1. Since shape, size and surface characteristics play major role in governing
workability and are mainly described in qualitative terms, can a system be designed
and developed which can measure these characteristics in quantitative terms?
2. Usually, the number of trials are required to fix superplasticizer’s dosage to achieve
the desired workability, is it possible to develop a superplasticizer dosage
prediction model for the desired workability to reduce trials?
Objective and Scope of Research Work 1.9
The workability of cement paste reduces by introducing aggregate in it as discussed in
literature review summary. Cement mortar is prepared by adding fine aggregate into paste
and concrete is produced by further addition of coarse aggregate. Since the action of
aggregate remains same, present work is limited to study of mortar which can be extended
to concrete later.
9
Introduction
Base on the above research questions following objective is aimed at,
• To develop a prediction model for the dosage of superplasticizer to obtain
the desired workability of mortar. This relationship will be useful to reduce
the trials to achieve the desired workability of mortar.
To identify major parameters which affect the workability of mortar, and to obtain a
relationship between them which will be achieved by;
i. Study the effect of water-cement ratio and superplasticizer dosage on the
workability of the cement paste and cement mortar.
ii. Study the effect of surface area of aggregate on the workability of cement
mortar.
iii. To develop a methodology to estimate the superplasticizer dosage for the
desired workability.
Organization of Thesis 1.10
This thesis consists of six chapters. Chapter 1 outlines the brief introduction of workability
and factors affecting workability, mechanism of superplasticizers, field problems in the use
of superplasticizer, the need of study, research questions, objective, and scope of research
work. Chapter 2 contains a review of workability measurement tests, and particle
characteristic measurement technology by previous researchers. Chapter 3 describes the
basic properties of experimental materials and formation of manufactured fine aggregate
zones used during the research work.
Chapter 4 presents the detail of research methodology and an experimental program which
divided into six phases i.e. Pilot study, characterization of aggregate grading, shape and
size, compatibility study, cement mortar workability study, statistical analysis of test
results, and prediction model for superplasticizer dosage to obtain the desired workability.
Chapter 5 deals with test results analysis and validation of developed models for prediction
of superplasticizer dosage. In the end, chapter 6 provides emerged conclusion and
recommendation for future research work.
10
Chapter 2
Literature Review
General 2.1
The flow properties of cement paste, mortar and concrete have an important role in
designing concrete mixes. In construction field terms like workability, flowability, and
cohesion are interchangeably used to describe the behaviour of concrete under the
condition of flow. Though these terms are very subjective in its own, fundamental and
quantitative information of concrete flow is required.
Concrete is said to be “fresh” before the period of its final setting. Despite following sound
procedures to make good quality of fresh concrete, the voids present in the concrete affect
the performance of concrete particularly into achieving desired “workability”.
The term workability is broadly defined; no single method is capable of measuring all
aspects of workability of cement paste, cement mortar or concrete. Only some
conventional methods are in use to measure the performance of the fresh concrete, mainly
the workability. An excerpt of the research work carried out in this field is discussed under.
Workability Measurement Tests and Flow Characteristic of 2.2Cement Paste and Mortar
Many researchers have given the classification of workability tests based on the principle
of measurement. Tattersall [11] has divided workability measurement tests into three classes
as shown in Figure 2.1.
Hackley and Ferraris [12] have classified workability tests in four categories as per flow
behavior such as confined flow test, free flow test, vibrating flow tests, and rotational
rheometers and suggested various workability measurement tests depending on the type of
mix.
11
Literature Review
FIGURE 2.1 Classification of Workability Test by Tattersall[11]
Agullo et al. [13] have studied the fluidity of superplasticized cement paste using Marsh
cone test. Figure 2.2 shows dimensions of Marsh cone test which was used to obtain a
practical measure of fluidity of cement pastes which contains superplasticizer and silica
fume. A Marsh cone flow times versus different initial reference volumes of cement paste
was found out to decide initial pouring volume of cement paste as shown in Figure 2.3.
The flow times of pastes with superplasticizer and with varying W/C as 0.28, 0.33 and 0.40
were determined to study the effect of w/c ratio. It was found that the flow times
determined using the Marsh cone test provide satisfactory indication of the relative fluidity
of the cement paste and this approach is useful in practical applications for the selection of
Workability measurement classes by Tattersall (1991)
Class-I Qualitative Class-II Quantitative Empirical Class-III Quantitative Fundamental
Workability, Flowability, Pumpability, Finishability, etc.
Slump, Compacting factor, Flow table spread, Vebe Time,
etc.
Viscocity, Mobility, Fluidity, Yield value, etc.
FIGURE 2.3 Marsh Cone Flow Time Versus
Initial Reference Volume
FIGURE 2.2 Marsh Cone for
Cement Paste
12
Literature Review
superplasticizers and their optimum dosages. Test results have shown that for all cases
there was a superplasticizer saturation dosage beyond which there is no significant increase
in fluidity takes place.
Sakir Erdogdu [14] carried out an experimental study on the compatibility of
superplasticizer with three types of cement having the different composition. In this study
three types of cement which were blended cement (KC 32.5), Pozzolanic cement (TC
32.5), and Portland cement (PC 42.5) with different cement contents of 300, 350, and 400
kg /m3 were used for preparing concrete mixes. Admixture (specific gravity = 1.2 kg/l) was
added to mixing water in three different proportions as 1%, 2%, and 3% by weight of each
cement respectively. To achieve equal workability of all mixes target slump ranging 5±9
cm was set. Concrete cube specimens (15 X 15 X 15 cm3) without admixture were cast for
comparisons. The optimal cement contents were found to be 400 kg/m3, 350 kg/m3 and 300
kg/m3 for KC 32.5, TC 32.5 and PC 42.5 respectively and the maximum strength gain in
concrete was achieved with a 3% admixture addition regardless type of cement.
Marsh cone test, Mini spread test, and rheometer were used to understand flow behaviour
of superplasticized cement paste by Jayashree and Gettu [15]. Portland cement (OPC-53
grade) was used along with four different families of superplasticizers such as
Lignosulphonate, Polynaphthalene sulphonate based, Polymelamine sulphonate based and,
Polycarboxylate Ether based. The solid content of superplasticizers was varying from 32 %
to 44%. All mixes have the water-cement ratio of 0.35. Flow behaviour of cement paste
with different types and dosages of superplasticizers were determined by Marsh cone test
and Mini-slump flow test and their results (represented through the Bingham and Herschel-
Bulkley models) were compared with the results determined by the viscometer. The study
indicates that all three tests show same trend with a change in superplasticizer dosage.
Bouvet et al [16] have performed Mini-slump flow test and Marsh cone tests. Cement paste
mixes were made using a water-cement ratio 0.37 and two superplasticizers dosages i.e.
0% and 1.15% (derived from self-compacting concrete). The computational model was
prepared to analyze the different region and corresponding flow types i.e. flowing fresh
cementitious materials for concrete. A new equation for final spread diameter has been
proposed which depends on viscosity.
Jayasree et al. [17] have summarized state of art on cement and superplasticizers interaction
and discussed test methods to find the effectiveness of superplasticizers. Cement paste
which includes superplasticizers exhibits non-Newtonian characteristics, which depend on
the type of superplasticizer and its dosage. Ordinary Portland cement 53 grade (according
13
Literature Review
to IS 12269-2004 [18]) and superplasticizers (SP) from the three different families:
Naphthalenes (SNF), Melamines (SMF), Polycarboxylates Ether (PCE) with dosage
varying from 0.1 to 1% by weight of cement were used to study the effect of the different
types of superplasticizer on the flow behaviour of cement paste. Cement paste transition
from linear viscoelastic to non- Newtonian and subsequently to linearly viscous fluid was
observed with the increase in superplasticizer dosage. Marsh cone test was used to
determine the optimum dosage of superplasticizer for different mixes. Optimum dosages
determined by mechanical test (Marsh cone test) were closed to the dosages at the
transition to the linearly viscous behaviour.
An attempt was made by Gengying Li and Xiaozhong Wu [19] to find an influence of fly
ash and its mean particle size on certain engineering properties of cement mortars. An
experimental investigation has been made to study the effect of fly ash and its mean
particle size (PD) on workability and strength. To evaluate the compressive strength and
bond strength, cubes were prepared with the size of 10 cm X 10 cm X 10 cm. Flow table
test was used to measure workability or fluidity. Total 12 mixes of cement mortar
incorporating different mean particle size fly ash were used in the experimental program.
The significant increase in long-term strength (compressive and bond strength) was
observed in cement mortar mixes incorporating the coarser fly ash. The fluidity of
composite mortar enhanced due to replacement of cement and lime with fly ash.
Guneyisi et al. [20] have studied the effect of marble powder and slag on the properties of
self-compacting mortars. Self-compacting mortars (SCMs) were particularly anticipated
for rehabilitation and repair of reinforced concrete structures. Authors have studied the
effect of marble powder and ground granulated blast furnace slag on fresh properties of
self-compacting mortar. The marble powder was obtained as an industrial by product
during sawing, shaping, and polishing of marble. Portland cement, marble powder, ground
granulated blast furnace, Polycarboxylic-Ether type superplasticizer with a specific gravity
of 1.07 and mixture of Natural River sand and limestone sand as fine aggregate were used
in the study. Nineteen self-compacting mortar mixtures were made having a constant
water-binder ratio of 0.40 and the total binder content of 550 kg/m3. Fresh properties of the
self-compacting mortar were tested by mini-slump flow diameter, mini-V funnel flow
time, initial and final setting times, and viscosity. Compressive strength and ultrasonic
pulse velocity were also performed for hardened self-compacting mortar. Test results
indicate that addition of marble powder increased fresh properties but decreased the
hardened properties of self-compacting mortars. Use of ground granulated blast furnace
14
Literature Review
slag decreased viscosity and V-funnel flow time while increased the setting times of self-
compacting mortars.
Chandra and Björnström [21] used mini flow table test to study the influence of cement and
superplasticizers type and dosage on the fluidity of cement mortars. Concrete quality is
affected by the flow behaviour of cement paste, which is nothing but the dispersion of
cement particles in the medium of water. Superplasticizer provides better dispersion of
cement particles. The study focuses the influence of lignosulfonic acid (LS) and melamine
sulfonic acid (SMF)-based superplasticizers on the fluidity of mortars made with ordinary
Portland (OPC), low alkali (LAC) and white cement (WC) at the different water to cement
ratio. Addition of lignosulfonic acid based superplasticizer in cement mortar provided
better fluidity than melamine sulfonic acid based superplasticizer. White cement shows
high workable mixes with both types of superplasticizers compared to ordinary Portland
cement and low alkali cement. Low C3A+C4AF and alkali content and higher SO3 content
might be the reason for the high workability of white cement mixes.
Harini et al. [22] investigated effects of size and type of fine aggregates on the flowability of
mortar with use of mini flow table test. River and crusher sand were used with four single
sizes namely 1.18 mm, 0.600 mm, 0.300 mm, 0.150 mm. Total 103 mortar mixes were
prepared with two different water-cement ratios and three different sand to cement
proportions. Angularity test based on ASTM C1252 [23] was performed to study the
influence of shape and surface texture of aggregate. Sizes of aggregate and uncompacted
void content have the major impact on the flowability of cement mortar. Test results
indicate that flowability of mortar was greatly affected by size and shape characteristics of
aggregates.
Haach et al. [24] have studied the influence of aggregate grading and water-cement ratio on
workability and hardened properties of mortars. The workability as one of the most
important properties of mortar, which was the assembly of several properties such as
consistency, plasticity, and cohesion but plasticity and cohesion were difficult to measure,
therefore consistency was frequently used as the measure of workability. The consistency
of mortar was obtained by means of the flow table test (as per EN 1015-3) [25].
Compressive and flexural tests (as per EN 1015-11)[26] were carried out on prismatic
specimens of 40 mm X 40 mm X 160 mm. Test results illustrate that sand grading affects
the consistency of the mix and cement mortar produced from fine sand requires a higher
amount of water. It also shows that sand grading has no influenced on compressive
strength of cement mortar.
15
Literature Review
Aggregate Shape Characteristics Assessment Techniques 2.3
Aggregate occupies approximately 60 to 80 percent of the volume of concrete, so it is
important to identify the characteristics of aggregate. Aggregate characteristic does not
only affect the strength of concrete but also influences structural performance and
durability of concrete. Natural aggregates are either formed by weathering and abrasion
process or by the artificial crushing of bigger parent mass [4]. The microstructure of parent
rock, prior exposure condition, and processing factor decides characteristic of aggregate
that significantly affect concrete properties [8]. Petrographic classification, chemical, and
mineral composition, strength, hardness, specific gravity, color, pore structure, physical
and chemical stability depend on parent rock properties.
Aggregate properties such as particle shape and size, surface texture and absorption are not
associated with parent rock. In general, mortar or concrete properties have been preferably
found by characteristics of aggregate because it influences both fresh and hardened
properties. The research work carried out for aggregate shape characteristics assessment
techniques has discussed under.
Particle Shape and Size 2.4
Particle shape and size influence the concrete mix proportion significantly. The shape of
aggregate can be defined by sphericity, form, and roundness [27]. If three axes or dimension
of the particle are nearly same then the particle is classified as spherical. The form of
particle which is also known as shape factor is used to differentiate between particles
which have same sphericity [28]. If longest axes, intermediate axes, and shortest axes are
represented by L, I and S respectively, then;
𝑺𝒑𝒉𝒆𝒓𝒊𝒄𝒊𝒕𝒚 = �𝑺.𝑰𝑳𝟐
𝟑 , 𝑺𝒉𝒂𝒑𝒆 𝒇𝒂𝒄𝒕𝒐𝒓 = 𝒔
√𝑳𝑰 𝒐𝒓 𝑺𝒉𝒂𝒑𝒆 𝒇𝒂𝒄𝒕𝒐𝒓 = 𝑳𝑺
𝑰𝟐 (Eq. 2.1)
However, various researchers have given different definitions of shape parameters which
are also not correlated with each other. Apart from sphericity and form, there are two
common terms elongation index and flakiness index which are used to state shape of
aggregate. Method for determination of flakiness index and elongation index is given in IS-
2386 (Part-I)-1963 (reaffirmed-1999) [29].
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Literature Review
Roundness and angularity are also two other characteristics to define particle shape [30].
Particles losing edges and corners by attrition process become well rounded such as wind-
blown sands, as well as sand and gravel from seashore or riverbeds. Aggregate
manufactured by crushing of rocks has sharp and well-defined edges which are called
angular particle [8]. The shape of the particle also can be classified as angular, sub-angular,
sub-rounded, rounded, and well-rounded [31]. Visual assessment of shape characteristic of
particle has been given by Ahn [32] in Figure 2.4.
FIGURE 2.4 Visual Assessment of Shape Characteristic of Particle by Ahn [32] (a)
Derived From Measurements of Sphericity and Roundness (b) Based Upon
Morphological Observations
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Literature Review
Concrete mix is prepared by various size particles. Particle size distribution is represented
by grading and grading of coarse and fine aggregate is given in IS-383:1970 (reaffirmed-
2002) [33]. It is important to select suitable grading of and maximum size of aggregate. For
example use of coarser sand leads to the production of the harsh and unworkable mix while
the use of very fine sand increases water requirement for the desired workability (which
also increases cement requirement for given water cement ratio) and uneconomical. Well-
graded aggregates reduce the void ratio and produce the most workable and economical
concrete.
As the quality of aggregate influences concrete mix design and properties, it is necessary to
measure the quality of aggregate before it is used for concrete manufacturing. Most
popular field test to measure the quality of aggregate is sieve test. Duration of sieve test on
dry materials varies from 30 minutes to 2 hours and a longer time is required when
materials need to wash before testing. Assessment of shape characteristic and other
parameters which can affect concrete properties is not possible with sieve test. Therefore, it
is essential to develop rapid assessment techniques for quality control of aggregate. For
rapid assessment of aggregate quality various procedure and testing devices have been
evolved by different researchers in last two decades [34].
Particle Characteristic Measurement Technologies 2.5
It is necessary to develop an understanding of aggregate characteristic as discussed. Many
efforts have been made to discover rapid, automated and accurate techniques for
measurement of particle shape characteristic. Various principle and measurement
techniques concise review have been given by McCave I.N., and Syvitski J.P.M. [35].Schematic view of four generalizes techniques have been given in Figure 2.5. Out of all
four techniques, only automated sieve analysis is developed for the construction industry.
FIGURE 2.5 Different Technologies for Analyzing Particle Characteristic
Particle characteristic measurement technologies
Digital Image Processing
Fluid sedimentation methods Laser diffraction spectroscopyAutomated Sieve Analyser
18
Literature Review
Selection of a suitable method for measurement depends on various parameters such as
estimated range of particle size, solubility, ease of handling, flowability, cost, specific
requirements and time. Figure 2.6 shows the graphical representation of the accuracy of
various methods for the range of particle size [34]. Fluid sedimentation and sieve analysis
require comparatively longer time than other two methods. Laser diffraction technique is
used to analyze particle size rapidly but it is applicable for certain particle size range (fine
particles). Suspension of the coarse particle to capture diffraction images for a long time is
difficult. An image analysis technique covers larger range (0.04 mm to 50mm) as shown in
Figure 2.6.
FIGURE 2.6 Graphical Representation of Accuracy Various Technologies for Wide
Range of Particles
2.5.1. Sieve Analysis
Particle sizes and gradation of material have been found out by sieve analysis. For
obtaining particle gradation, it is required to arrange an appropriate set of sieves with mesh
size, increasing from bottom to top and shake sieves by the putting sample on top sieve.
The particle passes through sieve depends on the orientation of particle, a ratio of particle
size and sieve opening, various movement (horizontal and vertical) and duration of sieve
shaker.
Particle size decides the method of sieving such as air jet sieving, wet sieving or dry
sieving. Figure 2.7 represents the various sieving method versus particle size range. Sieve
analysis is inexpensive, easy to perform in the field and covers a wide range of particle size
Accuracy
Grain Size (mm)0.04 0.3 2 50
Image AnalysisLaser Diffraction Fluid Sedimentation
19
Literature Review
but it is labor intensive and time-consuming. It requires cleaning and maintenance of sieves
also. Automated sieve analyzer is a device which can perform sieve analysis accurately and
give computer-generated reports of sieve test. It also has a facility for emptying and
cleaning the sieves. RETSCH- solutions in milling and sieving is one of the companies
which provides a range of automated sieving device for air jet, wet and dry sieving.
FIGURE 2.7 Sieving Method versus Particle Size
2.5.2. Fluid Sedimentation Method
Fluid sedimentation method may be classified as incremental or cumulative. The
incremental method measures particle concentration at a predetermined depth from the free
surface of suspension. The weight of particles extracted from sedimentation column
determines the proportion by weight of the sample under test that consists of particles
having a diameter less than that corresponding to the velocity of fall at the time of
sampling. In a cumulative method, the mean concentration of unsettled particles is
measured over the whole distance from the surface level of the suspension to a known
depth below the surface or alternatively the total sediment of a known depth is measured
(IS-5282:1969) [36].
Particle settlement can be either gravitational or centrifugal. Gravitational sedimentation is
applicable to relatively larger particle because rate of settlement for small size particle is
too low to give a practical analysis time under gravitational method. Sometimes very small
size particle never settles by gravitational sedimentation unless particle density is
extremely high. Therefore centrifugal sedimentation analysis is used for smaller particle.
IS-5282:1969(reaffirmed-2000) [36] is an Indian standard which covers liquid
sedimentation methods for determination of particle size of powder. IS-5282:1969 [36] has
given following methods for particle size measurement.
a) Fixed position pipette incremental method-pipette at the top
b) Fixed position pipette incremental method - pipette at side
c) Centrifugal sedimentation method
Air Jet Sieving
Wet Sieving
Dry Sieving
1m
Particle Size
1μm 10μm 100μm 1mm 10mm 100mm
40 μm 125mm
20 μm 20mm
20μm200μm
20
Literature Review
Particle size is calculated using stokes’ law in the following form:
𝐷 = �18ɳℎ
�𝜌𝑝 − 𝜌𝑓�𝑔𝑡�0.5
(Eq. 2.2)
Where D= particle diameter in cm ɳ= fluid viscosity in poise g = acceleration due to gravity in cm/ sec2 h=distance in centimeter through which particle falls in time t in sec ρp=particle density in g/ml ρf=fluid density in g/ml
Smaller particle settles faster in high gravitational force compared to Brownian diffusion.
Modification of Stokes’ law is required to encounter a variation of gravitation force with
distance from the center of rotation. Following equation [37] is used to measured particle
diameter.
𝐷 = �18ɳ ln
𝑅𝑓𝑅𝑜
��𝜌𝑝 − 𝜌𝑓�𝑤2𝑡��
0.5
(Eq. 2.3)
Where D= particle diameter in cm ɳ=fluid viscosity in poise Rf= final radius of rotation in cm Ro= initial radius of rotation in cm ρp=particle density in g/ml ρf=fluid density in g/ml w= rotational velocity in radians/sec t= time required to sediment from Ro to Rf in sec
In the modified form of Stokes’ law equation, time is the only variable parameter if
centrifuge running at constant speed and temperature. Particle diameter can be measured
with use of stokes’ law and modified stokes’ law. Liquid fluid sedimentation method is
applicable from 0.01 micron to about 50 microns particle size. Fluid sedimentation method
requires simple and inexpensive equipment. It also used to measure a wide range of
particle with considerable accuracy and reproducibility. The major limitation of this
approach is that it measures the particle size in terms of an equivalent diameter of the
sphere falling through the fluid. Therefore particle shape characteristic is not obtained
directly by this approach. This method requires temperature control to avoid suppress
convectional currents. Particles also have to be insoluble in suspending liquid.
“CPS Disc Centrifuge, Models DC12000, DC18000, DC20000 and DC24000”
manufactured by Sinsil international and “SediGraph 5100” manufactured by Micromeritic
Instrument corporation are devices used for fluid sedimentation methods.
21
Literature Review
2.5.3. Laser Diffraction Spectroscopy
Particle scatters light is not new information. Particle interacts with light by reflection,
diffraction, adsorption, and refraction. Laser diffraction spectroscopy is a well-known
technique used for particle’s size assessment. The core idea behind laser diffraction
spectroscopy is a measurement of scattering light angle to evaluate particle size. Large size
particle is scattering light at a small angle and small size particle is scattering light at a
wide angle. Loizeau et al. [38] and Buurman et al. [39] have studied application and accuracy
of laser diffraction techniques for earth materials.
ISO 13320:2009 [40] has covered particle size analysis by laser diffraction. This method
covers submicron to millimeter size range (general range - 0.02micron to 2mm) for particle
sizing. Laser diffraction spectroscopy analyzes particles much faster than conventional
sedimentation method for fine particles. Large numbers of particles sampled in each
measurement give freedom of repeatability. A major limitation of this approach is
suspending coarse particle for the required time to capture diffraction images for analysis.
It is also an expensive method of particle sizing. This method gives output such as volume
and specific surface area of particle considering particle as a sphere.
Many companies manufactured laser diffraction equipment, including Malvern
Instruments. Malvern Instrument’s Mastersizer3000 uses laser diffraction techniques to
measure particle size range 0.01 micron to 3.5 millimeter. Mastersizer 3000 particle size
range also depends on sample and sample preparation.
2.5.4. Digital Image Analysis
Digital image analysis is a process to gather information regarding the characteristic of the
particle through computer programing. It is vital to capture aggregate image with proper
lighting and background for digital image analysis. Each particle boundary is obtained by
digital image analyzer programs. These programs are designed to sense boundary of
particle though tracing the outline, pixel counting or line scanning. Digital image analysis
gives useful data and information on shape characteristics of particle apart from its size.
Digital image analysis techniques such as photogrammetry, X-ray tomography, and laser
profiling have been tried by various researchers.
Kemeny et al. [41], Ferniund [42], and Kuo et al. [43] [44] have analyzed earth materials
through digital image analysis. Digital image analysis is a quick technique to obtain the
characteristic of aggregate and real-time quality control is possible with it [45]. In the recent
22
Literature Review
era, large number of particles’ analysis is possible within a fraction of the time with digital
image analysis. It is also possible to develop an automated method for digital image
analysis to reduce time and efforts of the human. Kumara et al. [46] have studied particle
size distribution of granular materials by sieve analysis and image analysis. They also
suggested use of black color sheet to minimize effect of particle shadow for digital image
analysis. Rodriguez et al. [47] have carried out a study of image analyses for soil particles.
They emphasized on establishment of a methodology for digital image processing because
results are affected by the various parameters such as image acquisition procedure, image
processing, and the choice of quantity. They have also listed and used shape describing
quantities for soil particles as shown in Table 2.1.
TABLE 2.1 List of Shape Describing Quantities (Rodriguez et al., 2008) [47]
Sr
#
Shape
quantity
Equation /
Definition Figures References
1 Sphericity DaDc
Wadell,1935[48]
2 Degree of
circularity 𝑃𝑎𝑃𝑝
Wadell, 1935[48]
3 Roundness
𝐴𝑝𝐴𝑐
Tickell, 1938[49]
4 Roundness/
circularity 4𝜋𝐴𝑝𝑃𝑝2
Riley, 1941[50]
5
Inscribed
circle
sphericity
�𝐷1𝐷𝑐
Riley, 1941[50]
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Literature Review
Sr
#
Shape
quantity
Equation /
Definition Figures References
6 Circularity 𝑃𝑝2
𝐴𝑝
Blott&Pye 2008[51]
7 Roughness 𝑃𝑝
𝑃𝑐𝑜𝑛𝑣
Janoo, 1998[52]
8 Roughness ∑𝑟𝑖 𝑁⁄𝑟𝑖𝑛𝑐
Wadell, 1932[48]; Krumbein&Sloss, 1951[53]; Mitchell & Soga, 2005[54]
9 Sphericity �𝑏𝑐𝑎2
3
Krumbein, 1941[55],
Stückrath et al.,
2006[56]
10 Aspect ratio 𝑀𝑎𝑗𝑜𝑟𝑀𝑖𝑛𝑜𝑟
Image Analysis
Pro
Ap Area of the particle outline
Da Diameter of a circle with an area equal to that of the particle outline
Dc Diameter of smallest circumscribed circle
Pp Perimeter of particle outline
Pa Perimeter of a circle of the same area as particle outline
Ac Area of the smallest circumscribing circle
Dinsc Diameter of the largest inscribed circle
Pconv Perimeter, convex
Digital image analysis is also useful to investigate shape properties of natural and crushed
aggregate. Correlation between shape characteristic of aggregate and concrete compressive
strength has been carried out by Rýza Polat et al. [57].Digital imaging systems are available
as a commercial product or tools for research laboratories to evaluate aggregate shape
characteristics. Malvern Instrument’s Morphologi G3 is one of the products which
measures particle shape and size characteristics by static image analysis technique.
24
Literature Review
MorphologiG3 is used to measure the particle shape and size parameters such as circle
equivalent diameter, length, width, perimeter, area, max distance, sphere equivalent
volume, fiber total length, fiber width, Aspect ratio, circularity, convexity, elongation, high
sensitivity circularity, solidity fiber elongation and, fiber straightness. This equipment
measured various parameters for particle size range of 0.5 microns to 1 millimeter.
Generally, two-dimensional images have been captured and analyzed to obtain
characteristics of aggregate. It is difficult to perform three-dimensional analyses with this
technique. Typically digital image analysis helps to find area fraction rather than volume
fraction. Although some of the researchers have tried to find out three-dimensional image
analyses of aggregate particles from an orthogonal projection. Kuo et al., [43] have used
transparent sample tray with two perpendicular faces to capture orthogonal projection. One
face of the tray has the adhesive surface to stick aggregate on it.
FIGURE 2.8 Illustration of Sample Tray And Aggregate
After capturing an initial image, a tray is rotated at 90 degrees and the orthogonal image
has been taken for analysis. Illustration of sample tray and aggregate are shown in Figure
2.8. Long, intermediate and short dimensions are used to find flatness and elongation of
particle while other data such as area and perimeter are used to find other shape indexes. It
is still difficult to find volume fraction of aggregate by this method.
Three-dimensional properties of an aggregate particle such as shape or surface properties
are measured through X-ray computed tomography (CT) technique. This technique is very
expensive for assessment of aggregate shape characteristic. X-ray CT technique also
requires monitoring of radiation along with stringent safety. Three dimensional (3D) laser
scanning technique is also used for quantifying aggregate shape or surface characteristic.
This technique is preferable due to cost-effectiveness in comparison with X-ray computed
tomography (CT) technique.
25
Literature Review
Lenarno and Tolppanen [58] have developed a new approach based on 3D laser scanning for
characterization of dimensions, shape, and roughness of coarse aggregate. Regular and
irregular shaped particle surface area measured by three orthogonal view and 3D laser
scanning has been studied by Pan and Tutumluer [59]. They have also compared surface
area by both the methods and suggested application of it in asphalt mixture design. 3D
laser scanning process time requirement depends on resolution and size of the aggregate
particle. Longer scanning time is required for high resolution and bigger size particle.
Literature Review Summary 2.6
Literature study revealed following aspects of the selection of workability measurement
test, effects of superplasticizer and its dosage on the workability of cement paste and
mortar, and particle shape characteristic assessment techniques.
a) Selection of a test method to measure workability is based on mix characteristic.
Test methods for very low workability mix and high workability mix are different.
b) Superplasticizer interacts with cement only and remains neutral towards aggregates
(if they are inert). However, workability reduces with the introduction of
aggregates in cement paste which is mainly governed by volume of aggregates,
grading of aggregates, the shape of aggregates, and surface characteristics of
aggregate.
c) Fresh and hardened properties of cement mortar or concrete depending on the
quality of aggregate. Therefore construction industry requires a methodology to
analyse aggregate quality quickly.
d) Selection of methodology for aggregate shape characteristic measurement depends
on certain criteria such as aggregate size, accuracy, the reliability of the method, the
time required to analyze the sample, human efforts requirement, measurement of
other characteristics of particle apart from size, robustness of testing equipment,
initial cost of equipment, maintenance and operational cost.
e) Digital image analysis method has a potential to estimate size and shape
characteristics of aggregate rapidly and accurately.
f) Two dimensional (2D) image analyses of aggregate give broad idea of aggregate
quality compared to procedure suggested in Indian standards.
g) Three dimensional (3D) analyse is the latest development in digital image analysis
field but it requires a high initial cost for setup.
26
Literature Review
h) In general, a camera and a computer are required for two dimensional (2D) image
analysis techniques. Therefore, there is a need to study shape parameters of
aggregate by two dimensional (2D) image analyses and its effect on the
performance of cement mortar or concrete mix.
i) Significant research efforts are put-in to understand the flow characteristics of self-
consolidated mortar/concrete, but very fewer citations are available on the
estimation of superplasticizer dosage for intermediate/medium workability.
27
Chapter 3
Experimental Materials and Basic Properties
General 3.1
This chapter discusses in detail basic properties of materials used in the present research
work. Some of the basic tests are performed on materials to define the physical properties
of materials. Chemical and physical properties of materials used during the experimental
work are mentioned below.
Cement 3.2
Portland cement (conforming to OPC 53 grade of the Indian standard IS 12269–1987) is
used for all tests of cement paste and mortar. The cement is tested according to IS
4031:1988 [60] and its physical properties test results are given in Table 3.1. The standard
consistency of cement paste is measured by Vicat apparatus and it is 29%.
TABLE 3.1 Physical Properties of Cement (Brand: UltraTech Cement)
Sr. No. Physical testing of cement Results
obtained
According to IS
12269:1987 [18]
1 Setting Time
Initial (Minutes)
Final (Minutes)
135
230
30 min (Min)
600 min(Max)
2 Soundness : Expansion by
Le-chatelier Method (mm)
2.0
20 (max)
3 Compressive strength (MPa)
3 days
7 days
28 days
29.6
40.2
56.7
27.0 (min)
37.0 (min)
53.0 (min)
28
Experimental Materials and Basic Properties
3.2.1 Precaution and Handling of Cement
Cement gets damaged by contact with air moisture or water; therefore, cement bags are
kept in the dry place. If cement comes into the contact with moisture then hydration
process starts and it becomes unfit to use.
The major consideration in all processes involving the handling and organizing of cement
bags is to avoid damage or contamination of cement prior to use for testing. Cement bags
are stored at least 150 to 200mm above the floor to avoid the contact of water.
FIGURE 3.1 Cement Storage
Cement bags are completely enclosed by polyethylene sheet as shown in Figure 3.1. Same
cement manufactured brand is used during entire research work.
Fine Aggregate 3.3
Natural sand which passes through 4.75mm sieve and retained on 150 μm sieve, which
satisfies the Indian standard specification IS: 383-1970, is used as the fine aggregates.
Specific gravity and water absorption values were 2.41 and 0.40 % by mass respectively
for fine aggregates.
Sieving of the natural sand is carried out to obtain different fractions and zones for the
study as per IS-383:1970. Total five fractions i.e. 4.75 to 2.36mm (F1), 2.36 to 1.18mm
(F2), 1.18 to 0.60mm (F3), 0.60mm to 0.30mm (F4), and 0.30 to 0.15mm (F5) are
separated from natural sand. Zone formation is carried out considering the limits given in
IS-383:1970 [61] (reaffirmed-2002).Table 3.2 shows various zones of fine as per IS-
383:1970 (reaffirmed-2002) [61].
29
Experimental Materials and Basic Properties
TABLE 3.2 Zone of Fine Aggregate as per IS-383:1970 [61]
IS Sieve
Designation
Percentage passing for
Grading Zone-I Grading Zone-
II
Grading Zone-
III
Grading Zone-
IV
10mm 100 100 100 100
4.75mm 90-100 90-100 90-100 95-100
2.36mm 60-95 75-100 85-100 95-100
1.18mm 30-70 55-90 75-100 90-100
600 micron 15-34 35-59 60-79 80-100
300 micron 5-20 8-30 12-40 15-50
150 micron 0-10 0-10 0-10 0-15
Out of all sieves, 600-micron sieve has distinct range i.e. without overlapping of
percentage passing for various zones as shown in Table 3.2. For manufactured sand zones
(MFZ) of fine aggregate, the average of 600-micron percentage passing is taken and all
other sieve percentage passing is set accordingly. Table 3.3 shows percentage passing for
the various manufactured sand zone.
TABLE 3.3 Manufactured Sand Zone (MFZ) from Various Fractions
IS Sieve
Designati
on
Grading
for zone-I
MF
Z-I
Grading
for zone-II
MF
Z-II
Grading
for zone-
III
MF
Z-
III
Grading
for zone-
IV
MF
Z-
IV
10 mm 100 100 100 100 100 100 100 100 100 100 100 100
4.75 mm 90 100 100 90 100 100 90 100 100 95 100 100
2.36 mm 60 95 77.5 75 100 87.5 85 100 92.5 95 100 97.5
1.18 mm 30 70 50 55 90 72.5 75 100 87.5 90 100 95
0.60 mm 15 34 24.5 35 59 47 60 79 69.5 80 100 90
0.30mm 5 20 12.5 8 30 19 12 40 26 15 50 32.5
0.15mm 0 10 0 0 10 0 0 10 0 0 15 0
Percentage retains on each sieve is derived from percentage passing from each sieve.
According to percentage retains, various fractions are added and mixed it properly to make
various zones. Various fractions and manufactured sand zones are washed to remove the
effect of ultra-fine particles on superplasticizer dosages.
30
Experimental Materials and Basic Properties
Superplasticizer 3.4
Superplasticizers are used to study the change in the properties of fresh mixes.
Superplasticizers are absorbed on the surface of the binder particles, and it would cause
deflocculating and dispersion of binder particles. It results in improvement in mix
workability for same water content.
(a) SNF-F1 (Fosroc) (b) SNF-B1 (BASF)
(c) SMF-S1 (Sika) (d) PCE-B1 (BASF)
FIGURE 3.2 Different Superplasticizers
31
Experimental Materials and Basic Properties
Four different superplasticizers available in the market, Poly naphthalene sulphonate
(SNF-F1), Poly naphthalene sulphonate (SNF-B1), Melamine Formaldehyde Condensate
(SMF-S1) and Polycarboxylic Ether (PCE-B1) are selected for compatibility study as
shown in Figure 3.2. Table 3.4 shows the properties of superplasticizers given in datasheet
of the manufacturer.
TABLE 3.4 Properties of superplasticizers
Sr
#
TEST
DATA SNF-F1 SNF-B1 SMF-S1 PCE-B1
1 Aspect Dark Brown
Liquid
Dark Brown
Liquid
Colorless
liquid
Light Brown
Liquid
2 Chemical
Type
Poly
naphthalene
sulphonate
Poly
naphthalene
sulphonate
Melamine
Formaldehyde
Condensate
Polycarboxylic
Ether
3 Relative
Density
1.2-1.23 at 27
˚C
1.20 ± 0.02 at 25
˚C 1.25 at 20 ˚C
1.20 ± 0.02 at 25
˚C
4 pH Value 7-8 ≥ 6 8-12 ≥ 6
5 Chloride
Content
(%)
Nil <0.2 <0.1 <0.2
All superplasticizer comply with IS 9103: 1999 “Concrete Admixture – Specification”.
Selection of superplasticizer for the experimental work has been carried out by
compatibility study.
Water 3.5
Ordinary portable water free from turbidity, organic content and salts is used for all the
mixes. The temperature of water varied between 27 ˚C to 29 ˚C during the experimental
program.
32
Chapter 4
Experimental Program
General 4.1
In the present chapter, flow chart of research work is added for a better understanding of
work done. To achieve the objective of research work, the entire study is divided into six
phases. The scope of present study is limited to cement mortar. The process pursued in the
entire experimental work, i.e. surface area measurement of fine aggregates, compatibility
study of cement superplasticizers, and cement mortar workability is explained in detail.
Modified mini flow table test has been performed to obtain fresh properties of mixes.
Observations made during experimental work are also described in this chapter. During the
entire experimental program, the type of cement, fine aggregate, water, and
superplasticizer are kept same to avoid any adverse effects on properties of mixes, since
basic properties of these materials would affect the fresh properties of the mix.
Research Methodology 4.2
Figure 4.1 shows the flow chart of research work. The pilot study has been carried out to
select suitable experimental test and methodology for research work. For achieving the
objective of the research, it is proposed to carry out experimental work, to develop an
analytical model based on statistical analysis of test results and to validate the proposed
model. Research methodology consists of following six phases.
Phase I Pilot Study
Phase II Characterization of aggregate grading, shape, and size i.e. analysis of
particle characteristic
Phase III Selection of superplasticizer i.e. Compatibility study
Phase IV Cement mortar workability study
Phase V Statistical analysis of test results and development of a prediction model
Phase VI Proposed methodology to predict superplasticizer dosage to obtain desired
workability and its application.
33
Experimental Program
Literature study and selection of Topic
Pilot study for selection of research methodology
Phase-I
Division of work plan into various phases
Research methodology to find surface area of fine
aggregate
Cement mortar workability study
Cement superplasticizer compatibility study to selection appropriate
superplasticizer
Digital Image Analysis for each fractions
Phase-II
Modified mini flow table test
Phase-IVPhase-III
Combination of results for statistical analysis and selection of statistical test
Statistical analysis of experimental data and development of models
Phase-V
Proposed prediction methodology for superplasticizer dosage to obtain
desired workability
Phase-VI
Modification in test equipments to satisfy requirement
FIGURE 4.1 Flow Chart of Research Methodology
34
Experimental Program
Phase I Pilot Study 4.3
The Pilot study is aimed to find a suitable test to measure fresh behavior of mortar for low
to high workability. Various test methods have been developed to measure behaviour of
fresh cement mortar. Workability indicators are developed based on different test methods.
These indicators are applicable only for a specific range of workability. An attempt has
been made to establish an applicable range of workability for various test methods and
correlate the workability indicators of any two tests for a given mix. However, it is
observed that the indicators are applicable to distinct ranges of workability and therefore
no unique indicator can address a wide range of cement mortar workability.
Further, the effort has been done to modify the Mini flow table test that attempts to address
a wider range of cement mortar workability. The modified Mini flow table test is found to
be applicable to a wide range i.e. very low to very high workable mix.
4.3.1 Materials
Portland cement (conforming to OPC 53 grade of the Indian standard IS 12269–2004) [18]
is used for all tests of cement paste and mortar. The fine aggregates are natural sand with a
specific gravity of 2.41 and an absorption value of 0.40% by mass. Sieve analysis test is
performed as per Indian standard specification IS: 383-1970 [61]. Table 4.1 shows test
results of sieve analysis of fine aggregates and it does indicate zone –III of fine aggregates.
TABLE 4.1 Sieve Analysis of Fine Aggregates
Sieve no. Percent passing Specification of
IS: 383-1970[61]
10 mm 100 90-100
4.75mm 95.2 90-100
2.36mm 89.2 85-100
1.18mm 79.8 75-100
600 μm 69.8 60-79
300 μm 22.4 12-40
150 μm 2.4 0-10
35
Experimental Program
Cement mortar is prepared in the proportion of 1:1 of cement and fine aggregates. Cement,
fine aggregates, and water as per mix requirements are taken into mixing bowl. Mixing is
stopped after 2 minutes and sides of the mixing bowl have been scrapped for 20 to 30
seconds. Again mixing is carried out for 3 minutes ± 15 seconds to get the homogeneous
mix.
4.3.2 Flow Characteristic of Cement Mortar (Marsh Cone Test)
The Marsh cone test has been performed to know the relative fluidity of cement mortar. A
metal cone with 12 mm nozzle diameter is used. 1000 ml cement mortar volume is poured
into the metal cone and time required to 500 ml flow out is measured using a stopwatch.
Test results are recorded in terms of flow time (seconds). Lower flow time indicates
greater fluidity of cement mortar compared to higher flow time. Figure 4.2 shows the set
up for the Marsh cone test.
FIGURE 4.2 Set Up for Marsh Cone Test
36
Experimental Program
4.3.3 Consistency of Fresh Cement Mortar (Mini Flow Table Test)
A truncated cone, with 50 mm height, 100 mm bottom diameter, and 70 mm top diameter
is filled by cement mortar. A truncated cone is lifted gently and 15 jolts in 15 seconds are
applied. The cement mortar spread is measured in terms of the average diameter of flow
i.e. average of four symmetrically distributed measurements. Percentage of spread is
calculated by taking the average diameter of flow with respect to the original diameter of
mortar before the test as the reference value.
High workable mix spread is more than the diameter of flow table i.e. 250mm. Therefore,
modification in the diameter of Mini flow table has carried out by following Domone [62].
Figure 4.3 and Figure 4.4 show original Mini flow table and Modified Mini flow table test
set up respectively. An acrylic sheet having diameter 450 mm and weight 492 grams is
attached to the base plate of the Mini flow table.
FIGURE 4.3 Original Mini Flow Table
Test Setup
FIGURE 4.4 Modified Mini Flow Table
Test Setup
4.3.4 Marsh Cone Test Results and Discussion
The cement mortar mixes are prepared with the initial w/c ratio as 0.40 and varying it in
incremental sequence. Cement and fine aggregate proportion is taken as 1:1. It is observed
that when the Marsh cone test is performed up to water cement ratio 0.72, the mix gets
clogged in the cone. Hence, the Marsh cone test is applicable after the w/c ratio of 0.72, as
cement mortar mix is relatively fluid after that w/c ratio.
4.3.5 Mini Flow Table Test Results and Discussion
Mini flow table test is suitable for stiff workable to medium workable mortar mix. If the
diameter of cone and spread of the mix are same then it is defined as a stiff mix. High
workable mix spread is more than the diameter of flow table i.e. 250 mm. Therefore, a base
of 450 mm has been attached to the original Mini flow table.
37
Experimental Program
4.3.6 Summary
A series of cement mortar sample with varying water cement ratio are performed by
different tests to understand the suitability of test for low to highly workable mixes. In the
present work, the stiff mix or zero spread is considered as a low workable and the mortar
spread greater than 290mm without bleeding and segregation is defined as highly workable
mix [62]. Marsh cone test is applicable to measure flow behaviour of cement mortar above
water cement ratio 0.72. It was not possible to find the correlation between original Mini
flow table test and Marsh cone test. Modified Mini flow table test having the diameter of
450mm was applicable for entire range i.e. very low to high workable mix. Hence, use of
Marsh cone test was limited to pilot study. Original and Modified Mini flow table test
results show only 5 % variations for various mixes.
Phase II Characterization of Aggregate Grading, Shape and Size 4.4
A given sand sample has a large variation in particle size, shape, volume, and surface
characteristics. Hence, characterization method should be able to cover the entire range of
sand fractions i.e. 0.150 mm to 4.75 mm. Shape, size, volume, and surface characteristics
can be clubbed in single parameter i.e. the surface area of the particle. There is a definite
relationship between two dimensional (2D) and three dimensional (3D) surface areas of
regular shape particles.
On the same line, in the present study, it is assumed that definite relationship exists
between 2D surface area of randomly oriented particle and their 3D surface area. Digital
image analysis (DIA) technique is selected to cover the entire range of sand particles and
determine 2D surface area of given particles. Digital image analysis is a process to gather
information regarding a characteristic of particle through computer programming. It is vital
to capture aggregate image with proper lighting and background for digital image analysis.
Each particle boundary is obtained by digital image analyzer programs. These programs
are designed to sense boundary of particle through tracing outline, pixel counting or line
scanning.
4.75 to 2.36 mm 2.36 to 1.18 mm 1.18 to 0.60mm 0.60 to 0.30mm 0.30 to 0.15mm
FIGURE 4.5 Various Fractions of Fine Aggregate
38
Experimental Program
Various fractions of the fine aggregate are segregated as per IS-383:1970 [61] (reaffirmed-
2002) for digital image analysis. Figure 4.5 shows particles of various fractions of fine
aggregate.
The methodology adopted for determination of surface area for a given sample is described
as under.
Step 1. Selection of thirty particles randomly from each fraction
Step 2. Determination of surface area of thirty particles by DIA
Step 3. Calculation of average surface area of each particle
Step 4. Determination of weight of n number of particles from sample
Step 5. Calculation of average weight of each particle
To get average surface area of given sand sample, following steps are to be followed
Step 1. Carry out sieve analysis to divide into requisite fractions
Step 2. Weight of given fraction is determined
Step 3. Determine the number of particles in given fraction as the average weight of
one particle of that fraction is known
Step 4. Determine total surface area of given fraction by multiplying average
surface area of one particle of that fraction and number of particles
Step 5. Sum the average surface areas of all the fractions
4.4.1 Surface Area Measurement for Fine Aggregate Particles
The fine aggregate of size varies from 0.150mm to 4.75mm are used for sieve analysis.
The samples are sieved as per IS 2386 (Part I)-1963 [29].
Digital Image Analysis (DIA) to find Surface area of fine aggregate particles
4.75mm to 2.36 mm
2.36mm to 1.18 mm
0.600 mm to 0.300 mm
1.18mm to 0.600 mm
0.300 mm to 0.150 mm
DIA of 30 particles
DIA of 30 particles
DIA of 30 particles
DIA of 30 particles
DIA of 30 particles
FIGURE 4.6 Flowchart for Digital Image Analysis
39
Experimental Program
The different fractions retained on sieve sizes 4.75mm, 2.36mm, 1.18mm, 0.600mm,
0.300mm and 0.150mm are gathered for further digital analysis as shown in Figure 4.6.
Sieve analysis test was conducted by handshaking.
4.4.2 Digital Image Analysis
Digital image analysis is a two-step process: i) Image acquisition ii) Analysis of acquired
image to calculate surface area.
4.4.3 Image Acquisition Process
The high-quality image of the aggregate particle is needed to perform digital image
analysis. The image acquisition set up consists of a camera on the photographic stand,
black sheet, and light sources are required to capture high-quality images. The black sheet
gives a dark background in the image which allows distinguishing the particle easily. The
dark background and proper adjustment of light sources help to avoid shadows of the
particle. The single particle image is captured for fine aggregate fractions 4.75mm to
2.36mm, 2.36mm to 1.18mm, 1.18mm to 0.600mm, and 0.600mm to 0.300mm. Fine
aggregate fraction 0.300mm to 0.150mm particles are placed and spread out carefully so
that they are not touching and overlapping each other. The distance between particle and
camera lens is maintained to get a clear and sharp image of aggregate particles.
FIGURE 4.7 Image Acquisition System
40
Experimental Program
A captured image of the particle is also checked on the computer screen. If it found
unsatisfactory then the same process has been carried out once again. Fine aggregate
particles are anisotropic material and it prefers orientation of a particle to be stable on a flat
surface. Therefore, thickness (i.e., short axis) of particles cannot be measured since 2-D
images measure only the long and intermediate axes. Setup for image acquisition system is
shown in Figure 4.7.
A measuring ruler is also captured in the image with the particle to set the scale during
image analysis. Images are captured with digital single lens reflex camera (Canon EOS 5D
Mark- IV) with a 24-105 mm lens which can measure up to 30.4 million pixels.
4.4.4 Image Analysis Process
The captured image is analyzed further using software ImageJ 1.47 V on a computer.
ImageJ 1.47 V can read many image formats such as TIFF, GIF, JPEG, BMP, DICOM,
and FITS. JPEG format images are taken for analysis of particles. Image J is a powerful
tool to analyze images and calculate area from the pixel value. It also supports image
analysis functions such as sharpening, edge detection, contrast manipulation, smoothing,
and noise removal. Process flow chart for surface area calculation of particle is shown in
Figure 4.8.
The scale of the image, i.e. pixels/mm is set using the ruler in the image. The original RGB
image is converted into grey scale (8 bit) image. The threshold value is set and the image
has been converted to the binary image which has black objects and white background. To
remove the noises and sharpen the edges of particle some steps are very important such as
Erode, Dilate, and Fill holes. Erode removes pixels from the edge, while Dilate adds pixels
to the edges of black objects. Fill holes command fills the holes in the black objects. Erode
and dilate process numbers should be remained same to ensure no addition or removal of
the pixel from black objects.
The image is analyzed for measurement of the surface area of the particle. The surface area
of a particle is defined as the area of selection in square pixels or in calibrated square units
(e.g. mm2, µm2, etc.) Step by step process for measurement of the surface area of the
particle is given in Table 4.2.
41
Experimental Program
Capture a high quality image of aggregate particle
Set the scale
Convert the image in monochrome (8 bit)
Set the threshold value
Convert it into binary image
Remove noise points both inside and outside of aggregate
particle domain
Matched the original image with binary image
Yes / No ?
No
Adj
ust t
he
thre
shol
d va
lue
Detect the edge curve of particle
Yes
Calculate the surface area of particle
FIGURE 4.8 Flow Chart of Surface Area Calculation of Particle
42
Experimental Program
TABLE 4.2 Determination of Surface Area of Particle by Image J
1. Open original image via File → Open →
select original image from computer
2. Set measurement scale
a. Draw a line over a 10mm section of
ruler
b. Analyze → Set scale
c. In set scale window enter 10 into the
‘known distance’ box and change the
unit of measurement box to mm,
mark ‘Global’ box
d. Draw a new line and confirm the
measurement scale is correct.
3. Convert original RGB image of particle to
grayscale (8-bit)
Image → Type → 8-bit
4. Set the threshold of the particle image
Image → Adjust → threshold
5. Convert the image into a binary image
Process → Binary → Make Binary
43
Experimental Program
6. Crop the image as per requirements
Select the area to be cropped by rectangular
box
Image → Crop
7. Remove noises from the image
Process → Noise → Remove Outliers
Select dark in ‘Which outliers’ and mark
preview. Adjust radius value to remove
noises from image
8. Fill the holes
Process → Binary → Fill holes
9. Erode or dilate if necessary
Process → Binary → Erode
Process → Binary → Dilate
10. Calculate the surface area of particle
Analyze → Analyze Particles
Count:1
Total Area: 20.73 mm2
An individual particle from fraction 4.75 mm to 2.36 mm, 2.36 mm to 1.18 mm, 1.18 mm
to 0.600 mm, and 0.600 mm to 0.300 mm is captured and analyzed to calculate the surface
area of particles. For fraction 0.300 mm to 0.150 mm, particles are very fine and therefore
44
Experimental Program
they are captured and analyzed in three different images. Total 150 particles are analyzed
by ImageJ software as shown in Figure 4.6. The results of surface area measurement of 30
particles from each fraction are saved in the spreadsheet file to calculate the average area
of one particle.
4.4.5 Validation of Digital Image Analysis
The process is validated using standard objects of known dimensions such as coins, and
known shape object. Vernier caliper is used to measure the dimensions of the coin.
FIGURE 4.9 Measurement of Coin Diameter by Vernier Caliper
A digital image of this coin is captured by the camera and analyzed by Image J software.
As shown in Figure 4.9 the diameter of the coin measured by Vernier caliper is 24.92 mm
and analyzed by ImageJ software is 24.923 mm.
A particle from size 4.75 mm to 2.36mm has been taken for validation of the digital image
analysis process. First of all the longest dimension of particle has measured by Vernier
caliper as shown in Figure 4.10. Image of the same particle has captured for the digital
image analysis by ImageJ software as shown in Figure 4.11.
45
Experimental Program
FIGURE 4.10 Measurement of
Particle Dimension by Vernier Caliper
FIGURE 4.11 Particle Image for Analysis
The digital image analysis of particle results by ImageJ software is given in Table 4.3. It
indicates that particle dimension is 7.26 mm and 7.27mm as per Vernier caliper and digital
image analysis respectively.
TABLE 4.3 Digital Image analysis results of Particle by ImageJ
Size of particle Area (mm2) Perimeter (mm) Width (mm) Height (mm)
4.75mm to 2.36mm 23.83 20.26 7.27 4.32
4.4.6 Weight to Number of Particle Relationship
These images and surface areas are two dimensional (2D) representation of an actual fine
aggregate particle, a three dimensional (3D) analysis is a much better but it requires a
costlier setup. The thickness and volume of particles are not possible to obtain directly
from 2D image analysis of particles. Therefore, it is not possible to find the quantity of
particle in terms of mass, volume or numbers. A simple logical method is adopted to
calculate the weight to the number of particles for each fraction.
Approximately 10 grams, 2 grams, 0.3 grams, 0.1 grams and 0.05 grams sample are taken
for fraction 4.75mm to 2.36mm, 2.36mm to 1.18mm, 1.18mm to 0.600mm, 0.600mm to
0.300mm, and 0.300mm to 0.150mm respectively. A high precision laboratory weighing
46
Experimental Program
balance (Sartorius BT 224 S) with 0.0001 gram readability is used to weigh the sample as
shown in Figure 4.12.
FIGURE 4.12 Weighing Balance
Numbers of particles are calculated manually for fraction 4.75mm to 2.36mm, 2.36mm to
1.18mm, and 1.18mm to 0.600mm while digital image analysis by Image J is used to
calculate the number of particles for remaining finer fractions i.e. 0.600mm to 0.300mm,
and 0.300mm to 0.150mm. The average weight of the sample and average numbers of
particles are calculated for each fraction. The average weight of one particle is derived
based on this relationship as shown in Table 4.4.
TABLE 4.4 Weight to number of particles
Sieve size fraction (mm)
Average weight of sample (gram)
Average number of Particles
Average weight of one particle(gram)
4.75-2.36 10.04 162 0.061914 2.36-1.18 2.0144 203 0.009933 1.18-0.60 0.3115 252 0.001239 0.60-0.30 0.1225 569 0.000215 0.30-0.15 0.0475 2012 0.000024
47
Experimental Program
4.4.7 Determination of Surface Area of Given Sample
Sieve analysis test is performed to divide the sample into requisite fractions. Weights of
fractions are determined and numbers of particles in each fraction are calculated as the
weight to the number of particle relationship is available. Surface areas of each fraction are
calculated by multiplying the number of particles and average surface area of particle.
Average surface area of given sample is determined by the summation of all fractions
surface areas.
Phase III Selection of Superplasticizer i.e. Compatibility Study 4.5
A variation in the characteristic of cement and type and dosage of superplasticizer creates
compatibility issues. Therefore, it is advisable to select an appropriate type of admixture.
Marsh cone test and Mini-slump test are performed to establish the compatibility.
Cement -Superplasticizer compatibility study
W/C : 0.30 W/C : 0.40 W/C : 0.50
SNF-F1 (Polynaphalene
sulphonate)
WC Ratio
SP DesignationSNF-B1
(Polynaphalene sulphonate)
SMF-S1 (Melamine Formaldehyde Condensate)
PCE-B1 (Polycarboxylater
ether)
Marsh Cone Test Mini Slump Test
Figure 4.13 Flow Chart for Compatibility Study
Superplasticizers are added to cementitious mixes in order to improve the fresh properties.
The same superplasticizer does not produce the same fluidity of mix with different types of
cement, nor do different superplasticizers produce the same fluidity with the same cement.
Therefore, laboratory experiments are required to study the cement superplasticizers
compatibility. To study the influence of water cement ratio on the dosage of
superplasticizer water cement ratio varied as 0.30, 0.40, and 0.50 by weight. As shown in
Figure 4.13 cement superplasticizer compatibility study is performed with four different
superplasticizers.
48
Experimental Program
4.5.1 Marsh Cone Test for Cement Paste
The Marsh cone test is performed to know the relative fluidity of cement paste. A metal
cone with 8 mm nozzle diameter is used. 1000 ml cement paste volume is poured into the
metal cone and time required to 500 ml flow out is measured using a stopwatch. Test
results are recorded in terms of flow time (seconds). Lower flow time indicates greater
fluidity of cement paste compared to higher flow time. A dosage, after which there is a no
significant increase in the fluidity of cement paste, is called optimum dosage of
superplasticizer (ODS).
4.5.2 Mini-slump Test for Cement Paste
Kantro [63] has developed a Mini-slump test to understand the flow behaviour of cement
paste. A Mini-slump cone, having height = 57 mm, bottom diameter = 38 mm and top
diameter = 19 mm is filled by cement paste. Figure 4.14 shows the set up for Mini-slump
test for cement paste.
The Mini-slump cone is lifted after one minute. Two diagonals and two medians average
are recorded as average flow diameter (AFD). Optimum dosage of superplasticizer is
considered from following two parameters. The first parameter is a maximum spread of the
cement paste without bleeding and the second parameter is 170 ± 10mm average flow
diameter [64].
(a) Mini Slump Cone
(b) Measurement of Flow
Diameter
FIGURE 4.14 Mini Slump Test Set Up
If the optimum dosage of superplasticizer is not in the range prescribed by the
manufacturer then it is considered as incompatible.
49
Experimental Program
Phase IV Cement Mortar Workability Study 4.6
Workability of cement mortar can be determined by various tests. A pilot study is carried
out to judge their suitability and modified Mini flow table test was selected (Domone [62]).
In this test, a truncated cone of height= 50mm, bottom diameter =100mm and top diameter
=70mm was used. Cement mortar is filled and a truncated cone is lifted gently and15 jolts
in 15 seconds are applied. The fluidity of cement mortar is measured in terms of the
average diameter of flow. Visual observations are also made to identify bleeding and
segregation of cement mortar.
4.6.1 Measurement of Cement Mortar Workability
The experimental program is designed to estimate the superplasticizer dosage for desired
workability of cement mortar. For each water cement ratio, optimum dosage of
superplasticizer (ODS) has found out. Cement to fine aggregate proportions varied as 1:1,
1:2, 1:3, and 1:4. Six different dosages of superplasticizer are taken to study the effect of
superplasticizer on cement mortar workability i.e. 0% ODS (without superplasticizer),
0.25ODS, 0.50ODS, 0.75 ODS, 1.00ODS, and 1.25ODS. To study the effect of surface
area of fine aggregate on workability and dosage of superplasticizer five different fractions
and four different zones are prepared. First of all, segregation of different size of particles
with help of sieving is carried out to get five different fractions of fine aggregate.
FIGURE 4.15 Hobart Mixture
50
Experimental Program
Hobart mixture as shown in Figure 4.15 is used to prepare a cement paste and mortar.
Modified Mini flow table test is performed to measure workability of cement mortar with
different water cement ratio, cement fine aggregate proportions, and superplasticizer
dosages. Total 648 tests are performed to get the relation between the water cement ratio,
dosage of superplasticizer, surface area and workability of mortar.
Test results indicate the cement mortar workability in terms of average flow diameter or
spread of mix. This test is very useful to identify the workability of different mixes. The
workability of cement mortar mix is varying from the stiff to segregation for present work.
Modified Mini flow table is also suitable test to know the characteristics of cement mortar
through visual observations. Remarks are also mentioned with the results of the modified
Mini flow table test based on the visual observations.
FIGURE 4.16 Stiff Mix
FIGURE 4.17 Bleeding and Segregation
Stiff mix indicates the zero workability as shown in Figure 4.16. There is no spread of mix
or change in the diameter of the base after applying 15 jolts.
Some mixes show the segregation and bleeding effects as shown in Figure 4.17. These
results are not considered for the further analysis. Cement mortar workability tests are
carried out for various fractions and zone as shown in Figure 4.18.
51
Experimental Program
FIGURE 4.18 Flow Chart for Workability of Cement Mortar
W/C
: 0.3
0W
/C :
0.40
W/C
: 0.5
0
Cem
ent M
orta
r
OD
S: 0
OD
S: 0
.25
OD
S: 0
.50
OD
S: 0
.75
Zone
-IZo
ne-II
Zone
-III
Zone
-IV
1:2
1:3
1:4
1:1
Cem
ent:
FA
Zone
SP D
osag
e
WC
Rat
io
(b) W
orka
bilit
y of
Cem
ent m
orta
r for
var
ious
zon
es
W/C
: 0.3
0W
/C :
0.40
W/C
: 0.5
0
Cem
ent M
orta
r
OD
S: 0
OD
S: 0
.25
OD
S: 0
.50
OD
S: 0
.75
4.75
mm
to
2.36
mm
2.36
mm
to
1.18
mm
1.18
mm
to
600
mic
ron
600
mic
ron
to
300
mic
ron
1:2
1:3
1:4
1:1
Cem
ent:
FA
Frac
tion
SP D
osag
e
WC
Rat
io
(a) W
orka
bilit
y of
Cem
ent m
orta
r for
var
ious
frac
tions
300
mic
ron
to
150
mic
ron
OD
S: 1
.00
OD
S: 1
.00
OD
S: 1
.25
OD
S: 1
.25
52
Experimental Program
Phase V Statistical Analysis of Test Results 4.7
To predict the superplasticizer dosages for the desired workability of cement mortar for
various fractions and zones, statistical analysis is carried out using SPSS software and
models are developed.
Phase VI Prediction Model for Superplasticizer Dosage to Obtain 4.8Desired Workability
Based on the study and statistical analysis of test results, a methodology is proposed to
estimate superplasticizer dosage for the desired workability of cement mortar.
53
Chapter 5
Test Results Analysis and Validation
General 5.1
In the present chapter, test results of the study have been divided into three parts and
presented in graphical form for better understanding. Test results of digital image analysis
for fine aggregate particles are presented in the first part of the chapter. The relationship
between sieve size and surface area of fine aggregate is also established based on digital
image analysis. Compatibility study of various types of superplasticizers with cement is
discussed in the second part. Test results of cement compatibility study are used in
selecting the appropriate superplasticizer. In the third part, results of cement mortar
workability study for different fractions and zones are presented. Mathematical models are
derived from the test results to predict the dosage of superplasticizer and are validated
through tests.
Digital Image Analysis Test Results for Fine Aggregate Particles 5.2
Digital image analysis method is used to find the surface area of the fine aggregate
particles. The value of an average surface area depends upon the sample size. The random
sampling method is used to select the sample size (i.e. n) from the population. Generally,
distribution of the mean of any sample is normal for n= 25 [65], therefore n= 30 is selected
as a sample size for each fraction. Figure 5.1 to 5.5 shows the histogram of particles
surface area for fractions 4.75mm to 2.36mm, 2.36mm to 1.18mm, 1.18mm to 0.600mm,
0.600mm to 0.300mm, and 0.300mm to 0.150mm respectively. Average surface area of
particles for fractions 4.75mm to 2.36mm, 2.36mm to 1.18mm, 1.18mm to 0.600mm,
0.600mm to 0.300mm, and 0.300mm to 0.150mm are 18.91mm2, 8.40mm2, 1.57mm2,
0.39mm2, and 0.12mm2respectively. Appendix A shows the surface area of particles for all
fractions in chart form.
54
Test Results Analysis and Validation
FIGURE 5.1Histogram of Surface Area (mm2) for Fraction 4.75mm to 2.36mm
Figure 5.1 shows the range of surface area is between 9.60mm2 to 28.34mm2 for fraction
4.75mm to 2.36mm. The standard deviation for fraction 4.75mm to 2.36mm is 4.913mm2.
FIGURE 5.2 Histogram of Surface Area (mm2) for Fraction 2.36 to 1.18mm
Figure 5.2 shows the range of surface area is between 5.43mm2 to 11.17mm2 for fraction
2.36mm to 1.18mm. The standard deviation for fraction 2.36mm to 1.18mm is 1.413mm2.
55
Test Results Analysis and Validation
FIGURE 5.3 Histogram of Surface Area (mm2) for Fraction 1.18mm to 0.60mm
Figure 5.3 shows the range of surface area is between 0.76mm2 to 2.48mm2 for fraction
1.18mm to 0.60mm. The standard deviation for fraction 1.18mm to 0.60mm is 0.396mm2.
FIGURE 5.4 Histogram of Surface Area (mm2) for Fraction 0.60mm to 0.30mm
Figure 5.4 shows the range of surface area is between 0.22mm2 to 0.63mm2 for fraction
0.60mm to 0.30mm. The standard deviation for fraction 0.60mm to 0.30mm is 0.122mm2.
56
Test Results Analysis and Validation
FIGURE 5.5 Histogram of Surface Area (mm2) for Fraction 0.30mm to 0.15mm
Figure 5.5 shows the range of surface area is between 0.06mm2 to 0.18mm2 for fraction
0.30mm to 0.15mm. The standard deviation for fraction 0.30mm to 0.15mm is
0.034mm2.The average surface area of one particle and weight is calculated as described in
section 4.4.Appendix B shows weight and number of particles for each fraction. Table 5.1
represents the surface area of particle and weight of single particle for various fractions.
TABLE 5.1 Calculation of Surface Area (2D) and Weight
Sieve size fraction
(mm)
Average surface area of one
Particle(mm2)
n=30
Approximate weight of one
particle(gm)
4.75-2.36 18.91 0.061914
2.36-1.18 8.40 0.009933
1.18-0.60 1.57 0.001239
0.60-0.30 0.39 0.000215
0.30-0.15 0.12 0.000024
Where n= number of particles
The average surface area of the particle is correlated with an average sieve size opening.
Figure 5.6 represents the linear regression of surface area of fine aggregate and average
sieve sizes opening.
57
Test Results Analysis and Validation
FIGURE 5.6 Linear Regression of Surface Area and Average Sieve Size Opening
An expression of sieve size as a function of surface area of aggregate is developed which
yields R2 value of 0.987.
𝑌 = 5.898 ∗ 𝑋 − 2.25 Eq. 5.1
Where Y = Surface area of single particle (mm2)
X = Average of sample passing and retaining sieve size (mm)
The range of the average of sample passing and retaining sieve size is 0.225mm to
3.555mm. Appendix C shows the calculation of surface area from sieve analysis for the
manufactured sand zone- I and random sand sample.
Cement Superplasticizer Compatibility Test Results 5.3
Since the superplasticizer acts only on cement particles, the compatibility study is carried
out on cement pastes only. Four commonly available superplasticizers such as Poly
naphthalene sulphonate based (SNF-F1 Fosroc), Poly naphthalene sulphonate based (SNF-
B1 BASF), Melamine Formaldehyde Condensate based (SMF-S1 Sika) and Polycarboxylic
Ether based (PCE-B1 BASF) are selected for compatibility study. Marsh cone and Mini-
slump tests are performed to find the optimum dosage of superplasticizer (SP).
Optimum dosage of superplasticizer (ODS) is normally determined by following criteria.
a. Optimum dosage of superplasticizer is considered from following two parameters
for Mini-slump test. The first parameter is that paste should not show any bleeding
and second parameter is that spread should attain 170 ± 10mm average flow
diameter [64].
y = 5.8988x - 2.2503R² = 0.9875
-5.00
0.00
5.00
10.00
15.00
20.00
0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00
Surf
ace
area
(mm
2 )
Sieve size(mm)
58
Test Results Analysis and Validation
b. A dosage, after which there is a no significant difference in Marsh cone time (in
seconds), is called optimum dosage of superplasticizer.
Table 5.2 to Table 5.5 shows the test results of cement superplasticizer compatibility study
(Marsh cone test and Mini-slump test) for four different superplasticizers.
5.3.1 Superplasticizer-1 (SNF-F1)
Test results of Marsh cone test and Mini-slump test for water cement ratio 0.30,0.40 and
0.50 are given in Table 5.2.
Water Cement Ratio 0.30: The poly-naphthalene sulphonate based superplasticizer (SNF-
F1) shows Marsh cone time of 107 seconds and average flow diameter 140mm at 5 percent
dosage of superplasticizer. Marsh cone test results indicate clogging of cement paste below
5% dosage of superplasticizer. This dosage of superplasticizer is greater than prescribed
range by the manufacturer and it also has an adverse effect on setting time and strength of
the mix. Therefore SNF-F1 superplasticizer is considered incompatible for water cement
ratio 0.30.
Water cement ratio 0.40: Marsh cone time and average flow diameter are 10 seconds and
162.5mm respectively for 1.75 percent dosage of superplasticizer. Addition of 2 percent of
superplasticizer gives Marsh cone time 8.5 seconds and average diameter 174 mm for Mini
flow table test.
Water Cement ration 0.50: Addition of 1.00, 1.25 and 1.50 percent superplasticizer
dosage in the mix with water cement ratio 0.50 give 7 seconds, 6 seconds, and 6 seconds of
Marsh cone time respectively. It is hard to find optimum dosage of superplasticizers by
Marsh cone test because there is no or negligible difference in recorded time of Marsh
cone test. However, Mini-slump test gives distinguished average flow diameter of 1.00,
1.25 and 1.50 percent superplasticizer dosages. Mini-slump test results show 149.50mm,
156.00mm, and 168.75mm average flow diameter for 1.00, 1.25 and 1.50 percent
superplasticizer dosages respectively.
Optimum dosage of superplasticizer is 1.5 percent for water cement ratio 0.50 based on the
criteria of average flow diameter should be in the range of 170 ± 10mm. Since Mini Slump
test covers the entire range of water cement ratio, Mini-slump test results are considered to
decide the optimum dosage of superplasticizer.
59
Test Results Analysis and Validation
TABLE 5.2 Test Results of Polynaphthalene Sulphonate Superplasticizer (SNF-F1)
Water cement
ratio
Cement (gm)
Water (gm)
SP (%)
SP (gm)
Marsh Cone Time (sec)
Flow Diameter (mm) Average Diameter
(mm) D1 D2 D3 D4
0.30
1800 540 2.00 36.00 * 125 124 123 126 124.50
1800 540 3.00 54.00 * 128 124 129 130 127.75
1800 540 4.00 72.00 * 130 132 133 130 131.25
1800 540 5.00 90.00 107 138 141 143 138 140.00
0.40
1500 600 0.50 7.50 20 132 138 133 138 135.25
1500 600 0.75 11.25 19 135 136 137 140 137.00
1500 600 1.00 15.00 16 147 138 142 144 142.75
1500 600 1.25 18.75 14 145 148 150 152 148.75
1500 600 1.50 22.5 14 155 158 159 160 158.00
1500 600 1.75 26.25 10 160 163 165 162 162.50
1500 600 2.00 30.00 8.5 171 175 178 172 174.00
0.50
1300 650 0.50 6.50 9 140 145 148 138 142.75
1300 650 0.75 9.75 8 143 149 150 152 148.50
1300 650 1.00 13.00 7 148 150 152 148 149.50
1300 650 1.25 16.25 6 159 152 155 158 156.00
1300 650 1.50 19.50 6 165 168 170 172 168.75
* indicates clogged of test sample
The poly-naphthalene sulphonate based superplasticizer (SNF-F1) shows incompatibility
for the water cement ratio 0.30 whereas, The optimum dosage of poly-naphthalene
sulphonate based superplasticizer (SNF-F1) for water cement ratio 0.40 and 0.50 is 1.75 %
and 1.5% respectively as discussed in above section.
5.3.2 Superplasticizer-2 (SNF-B1)
Water Cement Ratio 0.30: For 5 percent dosage of superplasticizer, the clogging of
cement paste is observed for poly-naphthalene sulphonate based superplasticizer (SNF-
B1). The average flow diameter is 129.00 mm for 5 percent dosage of superplasticizer.
Therefore, it is not satisfying any criteria for optimum dosage of superplasticizer. Use of 5
percent dosage of superplasticizer is not recommended as per manufacturer datasheet.
SNF-B1 shows incompatibility with cement for water cement ratio 0.30.
60
Test Results Analysis and Validation
Water Cement Ratio 0.40: For 0.75, 1.00, 1.25 percent dosage of superplasticizer, the
average flow diameters are 158.50mm, 163.25mm, and 176.00mm respectively as
illustrated in Table 5.3. Therefore optimum dosage of superplasticizer is 1 percent for
water cement ratio 0.40.
Water Cement Ratio 0.50: Marsh cone times are 10 seconds, 9 seconds, and 8 seconds
for the 0.50, 0.75, and 1.00 percent dosage of superplasticizer respectively. The cement
paste mixes prepared with 0.50, 0.75, and 1.00 percent superplasticizer give the average
flow diameter 146.75mm, 150.75mm, and 168.20mm respectively. Therefore optimum
dosage of superplasticizer is 1 percent for water cement ratio 0.50.
TABLE 5.3 Test Results of Polynaphthalene Sulphonate Superplasticizer (SNF-B1)
Water cement
ratio
Cement (gm)
Water (gm)
SP (%)
SP (gm)
Marsh cone time (sec)
Flow diameter (mm) Average Diameter
(mm) D1 D2 D3 D4
0.30
1800 540 2.00 36.00 * 125 124 123 126 124.50
1800 540 3.00 54.00 * 128 124 127 125 126.00
1800 540 4.00 72.00 * 128 126 129 127 127.50
1800 540 5.00 90.00 * 130 127 129 130 129.00
0.40
1500 600 0.50 7.50 31.00 134 135 133 134 134.00
1500 600 0.75 11.25 14.16 165 152 148 169 158.50
1500 600 1.00 15.00 11.00 160 169 163 161 163.25
1500 600 1.25 18.75 10.00 169 180 172 183 176.00
0.50
1300 650 0.25 3.25 14.00 140 135 138 140 138.25
1300 650 0.50 6.50 10.00 144 149 148 146 146.75
1300 650 0.75 9.75 9.00 143 156 151 153 150.75
1300 650 1.00 13.00 8.00 169 163 168 173 168.25
* indicates clogged of test sample
5.3.3 Superplasticizer-3 (SMF-S1)
Table 5.4 shows the test results of the Mini-slump test and Marsh cone test for melamine
formaldehyde condensate (SMF-S1) based superplasticizer.
Water Cement Ratio 0.30: The addition of 2.75 percentage of superplasticizer gives the
average flow diameter 162.5mm and the time taken for 500 ml of cement paste volume
61
Test Results Analysis and Validation
flow out of Marsh cone (i.e. Marsh cone time) is 58 seconds. Therefore, the optimum
dosage of superplasticizer is considered as 2.75 percent based on Mini-slump test.
Water Cement Ratio 0.40: Similarly, the average flow diameter is 163.50mm for 1.25
percent dosage of superplasticizer. Therefore, 1.25 percent dosage of superplasticizer is
taken as an optimum dosage of superplasticizer for water cement ratio 0.40.
Water Cement Ratio 0.50: the average flow diameter is 158.75 and 172.50mm for
superplasticizer dosage of 0.75 percent and 1.00 percent. As per Mini flow table criteria,
1.00 percent dosage has been considered as an optimum dosage of superplasticizer.
TABLE 5.4 Test Results Of Melamine Formaldehyde Superplasticizer(SMF-S1)
Water cement
ratio
Cement (gm)
Water (gm)
SP (%)
SP (gm)
Marsh cone time (sec)
Flow diameter (mm) Average Diameter
(mm) D1 D2 D3 D4
0.3
1800 540 1.50 27.00 * 126 130 129 125 127.50
1800 540 1.75 31.50 99 140 135 138 139 138.00
1800 540 2.00 36.00 83 149 147 146 146 147.00
1800 540 2.25 40.50 81 149 143 144 145 145.25
1800 540 2.50 45.00 65 153 158 156 157 156.00
1800 540 2.75 49.50 58 169 159 156 166 162.50
1800 540 3.00 54.00 51 170 184 176 169 174.75
0.4
1500 600 0.50 7.50 48 135 142 138 141 139.00
1500 600 0.75 11.25 38 144 149 147 148 147.00
1500 600 1.00 15.00 30 158 153 159 154 156.00
1500 600 1.25 18.75 26 160 166 163 165 163.50
1500 600 1.50 22.50 19 170 173 175 170 172.00
0.5
1300 650 0.25 3.25 11 149 153 148 150 150.00
1300 650 0.50 6.50 9 156 154 157 156 155.75
1300 650 0.75 9.75 8 159 160 159 157 158.75
1300 650 1.00 13.00 7 167 177 174 172 172.50
* indicates clogged of test sample
Marsh cone time is 58 seconds, 26 seconds, and 7 seconds at an optimum dosage of
superplasticizer for water cement ratio 0.30, 0.40, and 0.50 respectively. The average flow
diameter is 162.5mm, 163.5mm, and 172.50mm at an optimum dosage of superplasticizer
for water cement ratio 0.30, 0.40, and 0.50 respectively.
62
Test Results Analysis and Validation
These results of Marsh cone test and Mini-slump test indicate that Mini-slump test is easy,
consistent, and more reliable to find an optimum dosage of superplasticizer. Therefore,
Mini-slump test results are considered to find the optimum dosage of superplasticizer.
5.3.4 Superplasticizer-4 (PCE-B1)
Table 5.5 illustrates the test results of Mini-Slump test and Marsh cone test for water
cement ratio 0.30, 0.40 and 0.50.
Water Cement Ratio 0.30: For 1.25 percent superplasticizer dosage, the Marsh cone time
is 77 seconds and the average flow diameter is 177.50mm. Therefore, 1.25 percent dosage
is an optimum dosage of superplasticizer for water cement ratio 0.30.
Water Cement Ratio 0.40: The average flow diameters are 159.75 and 168.25 for
superplasticizer dosages 0.75 percent and 1.00 percent respectively. As per Mini flow table
criteria, 1.00 percent is considered as an optimum dosage of superplasticizer.
Water Cement Ratio 0.50: The superplasticizer dosage 0.75 percent shows the average
diameter 173.50mm. Therefore, the superplasticizer dosage 0.75 is taken as optimum
dosage of superplasticizer. Considering the Mini-slump test criteria, the optimum dosages
of Polycarboxylic Ether based superplasticizer for water cement ratio 0.30, 0.40, and 0.50
are 1.25 percent, 1.00 percent, and 0.75 percent respectively.
TABLE 5.5 Test Results of Polycarboxylic Ether Superplasticizer (PCE-B1)
Water cement
ratio
Cement (gm)
Water (gm)
SP (%)
SP (gm)
Marsh cone time (sec)
Flow diameter (mm) Average Diameter
(mm) D1 D2 D3 D4
0.30
1800 540 0.75 9.00 92 120 127 123 125 123.75
1800 540 1.00 13.50 79 151 142 149 150 148.00
1800 540 1.25 18.00 77 178 175 179 178 177.50
1800 540 1.50 22.50 75 180 182 176 179 179.25
0.40
1500 600 0.50 3.75 21 142 146 144 142 143.50
1500 600 0.75 7.50 17 159 162 156 162 159.75
1500 600 1.00 11.25 11 166 168 169 170 168.25
1500 600 1.25 15.00 11 189 187 185 189 187.50
0.50 1300 650 0.50 1.95 7 156 150 155 151 153.00
1300 650 0.75 3.25 6 174 171 175 174 173.50
1300 650 1.00 6.50 6 211 201 193 210 203.75
63
Test Results Analysis and Validation
5.3.5 Summary of compatibility study
Polycarboxylic Ether (PCE-B1) based superplasticizer shows good compatibility with
water cement ratio 0.30, 0.40, and 0.50 as represented in Table 5.6. Optimum dosage of
superplasticizer (ODS) for water cement ratio 0.30, 0.40 and 0.50 are 1.25%, 1% and
0.75% of weight of cement respectively. Hence, Polycarboxylic Ether based
superplasticizer is selected for the present study.
TABLE 5.6 Summary of Cement Superplasticizer Compatibility Study
Designation Chemical type
Optimum Dosage of Superplasticizer
(%)
w/c=0.3 w/c=0.4 w/c=0.5
SNF-F1 Polynaphalenesulphonate ** 1.75 1.5
SNF-B1 Polynaphalenesulphonate ** 1 1
SMF-S1 Melamine Formaldehyde Condensate 2.75 1.25 1
PCE-B1 Polycarboxylic Ether 1.25 1 0.75
** indicates more than 5% superplasticizer dosage- Incompatible
Workability of Cement Mortar for Different Fractions 5.4
After resolving the compatibility issues of superplasticizer, workability studies of cement
mortar with different sand fraction is taken up. Modified Mini flow table test is selected to
find out the workability of the cement mortar with and without superplasticizers.
Superplasticizer dosages are varied from 25% of Optimal Dosage (i.e. 0.25ODS) to 125%
of Optimal Dosage (i.e. 1.25ODS). Six different dosages of superplasticizer i.e. 0% ODS
(without superplasticizer), 0.25ODS, 0.50ODS, 0.75ODS, 1.00ODS, and 1.25ODS are
taken into consideration to study the effect of superplasticizer on the workability of the
cement mortar.
Cement and fine aggregate proportions 1:1, 1:2, 1:3, and 1:4 are chosen to vary surface
area of fine aggregate. The surface area of the different fractions is calculated using digital
image processing as shown in Appendix C. (Table C.4 and Table C.5)
Figure 5.7 to 5.21shows the relationship between cement mortar workability and surface
area of fine aggregate for various fractions including different dosages of superplasticizer.
64
Test Results Analysis and Validation
Appendix D shows the details of test carried out to find workability of cement mortar for
different fractions.
5.4.1 Fraction F1 (4.75mm to 2.36mm)
The surface area of aggregates for cement mortar proportions 1:1, 1:2, 1:3, and 1:4 are
1.06x105 mm2, 1.42x105 mm2, 1.60x105 mm2, and 1.71x105 mm2 respectively for fraction
F1 (Refer Appendix D, Table D.1).
FIGURE 5.7 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.30 and Fine Aggregate Fraction F1
Figure 5.7 illustrates the test results of workability for fraction F1 (4.75mm to 2.36mm size
particles), different dosages of superplasticizer, and water cement ratio 0.30. The range of
cement mortar workability varies from stiff to the average flow diameter 336.5 mm. Figure
5.7 shows reduction in workability with an increase in surface area for all the dosage of
superplasticizer. The workability of mortar has not changed significantly by increasing the
amount of superplasticizer more than an optimum dosage (i.e. 1.25ODS).
Cement mortar workability test results are depicted in Figure 5.8 for water cement ratio
0.40, fraction F1 (4.75mm to 2.36mm size particles), and different dosages of
superplasticizer. From the test results, it can be seen that the superplasticizer dosages
0.50ODS, 0.75ODS, and 1.00ODS give highest workable mix for proportion 1:1, 1:2, and
1:3 respectively. The cement mortar proportion 1:4 shows the stiff mix for all the dosages
of superplasticizer. The increase in the superplasticizer dosage more than 0.50ODS,
0.75ODS, and 1.00ODS lead to segregation for proportion 1:1, 1:2, and 1:3 respectively.
050
100150200250300350400
1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
65
Test Results Analysis and Validation
FIGURE 5.8 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.40 and Fine Aggregate Fraction F1
Cement mortar mix prepared with 0.50ODS gives the maximum workable mix for
proportion 1:1. The mix prepared by proportion 1:4 shows the stiff behavior for all dosages
of superplasticizer as illustrated in Figure 5.9.
For water cement ratio 0.30, 0.40, and 0.50, the average flow diameters for cement mortar
mix without superplasticizer and proportion 1:1 are 113.90mm, 191.90mm, and 237.22mm
respectively. Therefore, the mixture with a water cement ratio 0.50 has 108%, and 24%
higher workability compared to water cement ratio 0.30, and 0.40 respectively.
FIGURE 5.9 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.50 and Fine Aggregate Fraction F1
0
50
100
150
200
250
300
350
1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
0
50
100
150
200
250
300
350
1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
66
Test Results Analysis and Validation
5.4.2 Fraction F2 (2.36mm to 1.18mm)
The surface area of aggregates for cement mortar proportions 1:1, 1:2, 1:3, and 1:4 are
2.96x105 mm2, 3.94x105 mm2, 4.44x105 mm2, and 4.73x105 mm2 respectively for fraction
F2 (Refer Appendix D, Table D.4). Cement mortar mix prepared without superplasticizer
shows the stiff behavior as illustrated in Figure 5.10 for water cement ratio 0.30 and
Fraction F2 (2.36mm to 1.18mm size particles).
FIGURE 5.10 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.30 and Fine Aggregate Fraction F2
FIGURE 5.11 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.40 and Fine Aggregate Fraction F2
050
100150200250300350400
2.5 3.0 3.5 4.0 4.5 5.0
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
050
100150200250300350400
2.5 3.0 3.5 4.0 4.5 5.0
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
67
Test Results Analysis and Validation
The highest workable mix is achieved by adding the 1.00ODS for cement mortar
proportion 1:1. The average flow diameter 112.30mm (i.e. for 0% ODS) is increased to
342.25mm (i.e. for 1.00ODS). It shows that the use of superplasticizer increases the flow
spread 205%.
Figure 5.11 shows the test results of fraction F2 (2.36mm to 1.18mm size particles),
different dosages of superplasticizer and water cement ratio 0.40. It is noticed that the
maximum workable cement mortar mix is obtained by adding 0.75ODS.
FIGURE 5.12 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.50 and Fine Aggregate Fraction F2
Superplasticizer dosage more than 0.50ODS leads segregation in the mix as illustrated in
Figure 5.12. The average flow diameter for cement mortar mixes are 104.55mm,
137.38mm, 152.19mm, 160.87mm, 163.56mm, and 158.57mm for 0%ODS, 0.25ODS,
0.5ODS, 0.75ODS, 1ODS, and 1.25ODS, respectively for cement mortar proportion 1:4. It
shows that the increase of superplasticizer dosages increases the cement mortar workability
until the flow spread reached to the certain maximum value.
5.4.3 Fraction F3 (1.18mm to 0.60mm)
For fraction F3, the surface area of aggregates for cement mortar proportions 1:1, 1:2, 1:3,
and 1:4 are 4.44x105 mm2, 5.91x105 mm2, 6.66x105 mm2, and 7.10x105 mm2 respectively
(Refer Appendix D, Table D.7).
050
100150200250300350400
2.5 3.0 3.5 4.0 4.5 5.0Aver
age
Flow
Dia
met
er (
mm
)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
68
Test Results Analysis and Validation
FIGURE 5.13 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.30 and Fine Aggregate Fraction F3
Figure 5.13 shows the cement mortar workability results for water cement ratio 0.30,
different dosages of superplasticizer, and fraction F3 (1.18mm to 0.60mm size particles). It
is evidenced that the addition of 0.75ODS has significantly increased the workability of
cement mortar for proportion 1:1. Cement mortar mixes show stiff behavior for cement
mortar proportion 1:3 and 1:4. Cement mortar workability increases by 22% with the
addition of 1.25ODS compared to mix without superplasticizer for cement mortar
proportion 1:2.
FIGURE 5.14 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.40 and Fine Aggregate Fraction F3
0
50
100
150
200
250
300
350
4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
050
100150200250300350400
4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
69
Test Results Analysis and Validation
Figure 5.14 illustrated that for cement mortar proportion 1:1, the average flow diameter are
188.54mm, 284.27mm, 314.24mm, and 358.00mm for 0 % ODS, 0.25ODS, 0.5ODS, and
0.75ODS respectively. It shows that the 90% increase in the mix workability by addition of
0.75ODS.
Figure 5.15 shows the average flow diameter mixes prepared with 0.50ODS are
352.25mm, 282.03mm, 182.29mm, and 100.00mm for cement fine aggregate proportion
1:1, 1:2, 1:3, and 1:4 respectively. For the same superplasticizer dosage and water cement
ratio, it is noted that the mix workability is reduced with an increase in the surface area.The
maximum workable mixes are obtained by addition of 0.50ODS. Segregation is observed
for mixes prepared with dosage higher than 0.50% ODS.
FIGURE 5.15 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.50 and Fine Aggregate Fraction F3
5.4.4 Fraction F4 (0.60mm to 0.30mm)
For fraction F4, the surface area of aggregates for cement mortar proportions 1:1, 1:2, 1:3,
and 1:4 are 6.26x105 mm2, 8.33x105 mm2, 9.39x105 mm2, and 10.01x105 mm2 respectively
(Refer Appendix D, Table D.10).
Cement fine aggregate proportion 1:1, 1:2, 1:3, and 1:4, the average flow diameter for
cement mortar prepared by 0.75ODS are 319.48mm, 100.00mm, 100.00mm, and
100.00mm respectively. From the test results, it can be seen that the addition of 0.75ODS
in the mix gives the highest workability for cement fine aggregate proportion 1:1. For
050
100150200250300350400
4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
70
Test Results Analysis and Validation
water cement ratio 0.30 and fraction F3, cement fine aggregate proportion 1:2 to 1:4 shows
stiff behaviour for all dosages of superplasticizers as depicted in Figure 5.16.
FIGURE 5.16 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.30 and Fine Aggregate Fraction F4
FIGURE 5.17 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.40 and Fine Aggregate Fraction F4
Figure 5.17 shows the test results for water cement ratio 0.40, different dosages of
superplasticizer, and fraction F4 (0.60mm to 0.30mm size particles). It can be seen that the
superplasticizer dosages 0.75ODS and 1.00ODS, flow spread behavior is more or less
same regardless the dosage of superplasticizer for water cement ratio 0.40 and fraction F4.
0
50
100
150
200
250
300
350
6.0 7.0 8.0 9.0 10.0 11.0
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
050
100150200250300350400
6.0 7.0 8.0 9.0 10.0 11.0
AFD
(mm
)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
71
Test Results Analysis and Validation
FIGURE 5.18 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.50 and Fine Aggregate Fraction F4
For water cement ratio 0.50 and fraction F4, the addition of 0.75% ODS gives highest
workable cement mortar for cement fine aggregate proportion 1:1 and 1:2 as shown in
Figure 5.18. The mix prepared by cement mortar proportion 1:3 and 1:4 shows stiff
behavior irrespective of superplasticizer dosage because of higher surface area.
For water cement ratio 0.30, 0.40, and 0.50, the average flow diameters for cement mortar
mixes without superplasticizer and cement fine aggregate proportion 1:1 are 109.34mm,
197.28mm, and 256.92mm respectively as shown in Figure 5.16 to 5.18. Therefore cement
mortar mix prepared without superplasticizer and with water cement ratio 0.40 and 0.50
gives 81 % and 135 % more workable mix compared to mix prepared with water cement
ratio 0.30.
5.4.5 Fraction F5 (0.30mm to 0.15mm)
The surface area of aggregates for cement mortar proportions 1:1, 1:2, 1:3, and 1:4 are
18.24x105 mm2, 24.28 x105 mm2, 27.36x105 mm2, and 29.18x105 mm2 respectively for
fraction F5 (Refer Appendix D, Table D.13).
Figure 5.19 shows test results for water cement ratio 0.30, different dosages of
superplasticizer, and fraction F5 (0.30mm to 0.15mm size particles). For 0 % ODS,
0.25ODS, 0.50ODS, 0.75ODS, 1.00ODS and 1.25ODS, the average flow diameter for
cement mortar mixes are 100.25mm, 116.36mm, 131.88mm, 142.22mm, 274.56mm and
289.02mm respectively for cement mortar proportion 1:1. It is noted that the addition of
050
100150200250300350400
6.0 7.0 8.0 9.0 10.0 11.0
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
72
Test Results Analysis and Validation
0.75ODS increases the flow characteristic of cement mortar by 42 % while addition of
1ODS and 1.25ODS increase the cement mortar workability by 174% and 188%
respectively.
FIGURE 5.19 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.30 and Fine Aggregate Fraction F5
The cement mortar proportion 1:2, 1:3, and 1:3 shows the stiff behavior of the mix
regardless the increase in superplasticizer dosage. These observed phenomena are
reasonable because the finest fraction F5 has maximum surface area and water cement
ratio is 0.30.
FIGURE 5.20 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.40 and Fine Aggregate Fraction F5
0.00
50.00
100.00
150.00
200.00
250.00
300.00
350.00
18 20 22 24 26 28 30
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
0.0050.00
100.00150.00200.00250.00300.00350.00400.00
18 20 22 24 26 28 30
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
73
Test Results Analysis and Validation
Figure 5.20 illustrates the test results of workability for fraction F5 (0.30mm to 0.15mm
size particles), different dosages of superplasticizer, and water cement ratio 0.40. The
range of cement mortar workability varies from stiff to the average flow diameter 342 mm.
Figure 5.20 shows reduction in workability with increase in surface area for all the dosage
of superplasticizer. The workability of mortar (i.e. stiff mix) has not changed by
increasing the amount of superplasticizer for cement mortar proportion 1:3, and 1:4.
It can be seen that the superplasticizer dosages 0.75ODS and 1.00ODS, flow spread
behavior is more or less the same regardless the dosage of superplasticizer for water
cement ratio 0.50 and fraction F5. There is a significant change in cement mortar
workability by addition of superplasticizer in cement fine aggregate proportion 1:1 as
illustrated in Figure 5.21.
FIGURE 5.21 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.50 and Fine Aggregate Fraction F5
Workability of Cement Mortar for Different Zones 5.5
Zone I, Zone II, Zone III and Zone IV sand have been manufactured as discussed in
section 3.3 to study the effect of superplasticizer and surface area of fine aggregate on the
workability of cement mortar.
The relationship between cement mortar workability and surface area of fine aggregate for
various zones including different dosages of superplasticizer are shown in Figure 5.22 to
5.33.
0.0050.00
100.00150.00200.00250.00300.00350.00400.00
18 20 22 24 26 28 30
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
74
Test Results Analysis and Validation
Test results of cement mortar workability with different proportion and dosage of
superplasticizer are given in Appendix E. The surface area of the different manufactured
sand zones are calculated using digital image processing as shown in Appendix C. (Table
C.1 and Table C.3)
5.5.1 Zone I (Manufactured)
The surface area of aggregates for cement mortar proportions 1:1, 1:2, 1:3, and 1:4 are
5.21x105 mm2, 6.94 x105 mm2, 7.82x105 mm2, and 8.35x105 mm2 respectively for
manufactured sand zone I (Refer Appendix E, Table E.1).
Figure 5.22 shows the test results for manufactured sand zone I, different dosages of
superplasticizer and water cement ratio 0.30. It is evident that addition of 0.75ODS is
significantly increased the mix workability for cement mortar proportion 1:1 and 1:2.
FIGURE 5.22 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.30 and Fine Aggregate Zone I
There is no significant difference in the cement mortar workability prepared with 0.75
ODS and 1.00 ODS for water cement ratio 0.30 and manufactured sand zone I. Although
the highest workable mix is produced by addition of 1.00 ODS for all the cement fine
aggregate proportions. For instance, the addition of 1.00ODS gives the average flow
diameter are 338.50mm, 236.80mm,103.48mm and 100.00mm for cement mortar
proportion 1:1, 1:2, 1:3, and 1:4 respectively.
050
100150200250300350400
5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
75
Test Results Analysis and Validation
FIGURE 5.23 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.40 and Fine Aggregate Zone I
The average flow diameter for 0% ODS, 0.25ODS, 0.50ODS, 0.75ODS, 1.00ODS, and
1.25ODS are 100.01mm,120.51mm, 137.89mm, 159.82mm, 158.49mm and 169.49mm
respectively for cement fine aggregate proportion 1:3 as illustrated in Figure 5.23. It
indicates that the increase of superplasticizer dosages increases the cement mortar
workability until the flow spread reached to the certain maximum value. It can be seen that
the addition of 0.75ODS for cement mortar proportion 1:1, the average flow diameter is
increased from 201.50mm (i.e. 0%ODS) to 354.25mm.
FIGURE 5.24 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.50 and Fine Aggregate Zone I
050
100150200250300350400
5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
050
100150200250300350400
5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0
Aver
age
Flow
Dia
met
er (m
m)
Surface area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.5ODS
0.75ODS 1ODS 1.25ODS
76
Test Results Analysis and Validation
During the modified Mini flow table test, bleeding is observed for mix prepared by
dosages higher than 0.50ODS for cement mortar proportion 1:1. The observation for
bleeding and segregation are marked specifically and it is not considered for further
analysis. Cement mortar proportion 1:1, 1:2, 1:3, and 1:4, the average flow diameter for
cement mortar mixes with 0.50ODS are 348.25mm, 285.22mm, 225.39mm, and 100.00mm
respectively as shown in Figure 5.24. It indicates that the increase in the surface area of
fine aggregate decreases the spread of the flow for constant water cement ratio and
superplasticizer dosage
5.5.2 Zone-II (Manufactured)
The surface area of aggregates for cement mortar proportions 1:1, 1:2, 1:3, and 1:4 are
6.93x105 mm2, 9.22 x105 mm2, 10.39x105 mm2, and 11.08x105 mm2 respectively for
manufactured sand zone I (Refer Appendix E, Table E.4).
FIGURE 5.25 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.30 and Fine Aggregate Zone II
Figure 5.25 shows that the average flow diameter for 0% ODS, 0.25ODS, 0.50ODS,
0.75ODS, 1.00ODS, and 1.25ODS are 114.40mm, 161.65mm, 167.15mm, 313.02mm,
342.50mm and 324.47mm respectively for cement fine aggregate proportion 1:1. It is
evident that addition of 0.75ODS is significantly increased the mix workability and reaches
to the range of average flow diameter 300mm to 360mm for cement mortar proportion 1:1.
Figure 5.26 shows the test results for water cement ratio 0.40, different dosages of
superplasticizer, and manufactured sand zone II. Cement fine aggregate proportion 1:1,
050
100150200250300350400
6.5 7.5 8.5 9.5 10.5 11.5
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
77
Test Results Analysis and Validation
1:2, 1:3, and 1:4, the average flow diameter for cement mortar mixes with 0.75% ODS are
347.50mm , 300.50mm, 131.22mm, and 100.00mm respectively. Maximum workable
cement mortar mix obtained by addition of 0.75ODS. Cement mortar proportion 1:4 shows
the stiff behavior regardless of any dosage of superplasticizer.
FIGURE 5.26 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.40 and Fine Aggregate Zone II
FIGURE 5.27 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.50 and Fine Aggregate Zone II
Cement fine aggregate proportion 1:1, 1:2, 1:3, and 1:4, the average flow diameter for
cement mortar mixes with 0.50ODS are 342.50mm, 303.09mm, 185.65mm, and 100.00mm
050
100150200250300350400
6.5 7.5 8.5 9.5 10.5 11.5
Aver
age
Flow
Dia
met
er (m
m)
Surface area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
050
100150200250300350400
6.5 7.5 8.5 9.5 10.5 11.5
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
78
Test Results Analysis and Validation
respectively as illustrated in Figure 5.27. Segregation was observed for mix prepared with
dosage higher than 0.50ODS for cement fine aggregate proportion 1:1.
For water cement ratio 0.30, 0.40, and 0.50, the average flow diameters for cement mortar
mixes without superplasticizer and cement fine aggregate proportion 1:1 are 114.40mm,
200.63mm, and 263.57mm respectively as shown in Figure 5.24 to 5.26. It shows that the
spread of flow increased with the increase in water cement ratio. Cement mortar mix
prepared without superplasticizer and with water cement ratio 0.40 and 0.50 gives 75% and
130% more workable mix compared to water cement ratio 0.30.
5.5.3 Zone-III (Manufactured)
The surface area of aggregates for cement mortar proportions 1:1, 1:2, 1:3, and 1:4 are
8.49x105 mm2, 11.31x105 mm2, 12.74x105 mm2, and 13.59x105 respectively for
manufactured sand zone I (Refer Appendix E, Table E.7).
FIGURE 5.28 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.30 and Fine Aggregate Zone III
Figure 5.28 shows the test results for water cement ratio 0.30, different dosages of
superplasticizer, and manufactured sand zone III. Cement mortar highest workability is
obtained by mix prepared by adding 1.00ODS. For cement mortar proportion 1:1, the
average flow diameter without superplasticizer and 1.00ODS are 102.37mm, and
328.75mm respectively. It is evident that addition of 1.00ODS in mix increases the fluidity
of mix by 221% for cement mortar proportion 1:1. Test results indicate that addition
0.75ODS and 1.00ODS give almost same workable mix for cement mortar proportion 1:1.
050
100150200250300350400
8.0 9.0 10.0 11.0 12.0 13.0 14.0
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
79
Test Results Analysis and Validation
Figure 5.29 shows cement mortar proportion 1:1, 1:2, 1:3, and 1:4, the average flow
diameter for cement mortar mixes with 0.75 ODS are 356.75mm, 233.03mm, 110.58mm,
and 100.00mm respectively. It shows reduction in workability with increase in surface area
(i.e. increase the fine aggregate to cement ratio).
FIGURE 5.29 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.40 and Fine Aggregate Zone III
FIGURE 5.30 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.50 and Fine Aggregate Zone III
Figure 5.30 shows that without the addition of superplasticizer the average flow diameters
are 278.61mm, 204.21mm, 102.51mm, and 100.00mm for cement fine aggregate
proportion 1:1, 1:2, 1:3, and 1:4 respectively. It shows reduction in workability with
0
100
200
300
400
8.0 9.0 10.0 11.0 12.0 13.0 14.0
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
x 100000
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
050
100150200250300350400
8.0 9.0 10.0 11.0 12.0 13.0 14.0
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
80
Test Results Analysis and Validation
increase in surface area. To achieve maximum workable cement mortar mixes 1.00ODS,
0.75ODS, and 0.50ODS are required for water cement ratio 0.30, 0.40, and 0.50
respectively for Zone III as shown in Figure 5.28 to 5.30. The workability of mix increased
a little bit or segregation is observed by adding dosage higher than mentioned above.
5.5.4 Zone-IV (Manufactured)
The surface area of aggregates for cement mortar proportions 1:1, 1:2, 1:3, and 1:4 are
9.85x105 mm2, 13.11x105 mm2, 14.77x105 mm2, and 15.76x105 mm2 respectively for
manufactured sand zone I (Refer Appendix E, Table E.10).
FIGURE 5.31 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.30 and Fine Aggregate Zone IV
Figure 5.31 shows test results for water cement ratio 0.30, different dosages of
superplasticizer, and manufactured sand zone IV. It has been noted that cement mortar
remains stiff for the mix without superplasticizer i.e. 0% ODS. For cement fine aggregate
proportion 1:1, the maximum workable mix has been achieved by the addition of
1.00ODS. There is no effect of dosages of superplasticizer on the workability of cement
mortar for proportion 1:2, 1:3, and 1:4.
Figure 5.32 illustrates the test results of workability for zone-IV, different dosages of
superplasticizer, and water cement ratio 0.40. Test result shows that the highest workable
cement mortar is achieved by addition of 1.00ODS. For cement fine aggregate proportion
1:1, the average flow diameter without superplasticizer and 1.00ODS are 187.71mm, and
0
50
100
150
200
250
300
350
9.5 10.5 11.5 12.5 13.5 14.5 15.5 16.5
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
81
Test Results Analysis and Validation
342.25mm respectively. Therefore addition of 1.00ODS in mix increases fluidity of mix by
82% for cement mortar proportion 1:1.
FIGURE 5.32 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.40 and Fine Aggregate Zone IV
FIGURE 5.33 Influence of Surface Area and Superplasticizer Dosage on Cement
Mortar Workability for Water Cement Ratio 0.50 and Fine Aggregate Zone IV
It is noted that the workability of mix reduced by increase the fine aggregate cement ratio
for same superplasticizer dosage and water cement ratio. For water cement ratio 0.30, 0.40,
and 0.50, the average flow diameters for cement mortar mixes without superplasticizer and
cement fine aggregate proportion 1:1 are 100.03mm, 187.71mm, and 276.11mm
respectively as shown in Figure 5.31 to 5.33. Therefore cement mortar mix prepared
050
100150200250300350400
9.5 10.5 11.5 12.5 13.5 14.5 15.5 16.5
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
050
100150200250300350400
9.5 10.5 11.5 12.5 13.5 14.5 15.5 16.5
Aver
age
Flow
Dia
met
er (m
m)
Surface Area (mm2 x 100000)
Without SP(0ODS) 0.25ODS 0.50ODS
0.75ODS 1.00ODS 1.25ODS
82
Test Results Analysis and Validation
without superplasticizer and with water cement ratio 0.40 and 0.50 gives 88 % and 176 %
more workable mix compared to the water cement ratio 0.30.
Summary of Workability Test Results 5.6
To get the relationship between the water cement ratio, dosage of superplasticizer, the
surface area of fine aggregate and workability of cement mortar (i.e. average flow
diameter), total 648 tests have been performed on different fractions and manufactured
sand zones of fine aggregated. Major observations regarding the test results are as follows.
1. Cement mortar characteristics were depended on various parameters such as water
cement ratio, cement and fine aggregate proportion (i.e. surface area of fine
aggregate), and dosage of the superplasticizer.
2. Test results obtained for cement mortar workability show the complete range of
workability, it varies from stiff to segregation and bleeding. Stiff mix represents
very low or zero workability while segregation represents lack of cohesiveness in
the mix.
3. The maximum average flow diameters without superplasticizer for fraction F1,
fraction F2, fraction F3, fraction F4, and fraction F5 are 237.22mm, 232.26mm,
253.06mm, 256.92mm, and 241.27 mm respectively. Therefore spread of flow in
percentage for fraction F1, fraction F2, fraction F3, fraction F4, and fraction F5 are
14%, 13%, 15%, 16%, and 14% respectively.
4. The maximum average flow diameters without superplasticizer for manufactured
sand zone I, zone II, zone III, and zone IV are 257.7mm, 263.57mm, 278.61mm,
and 276.11mm respectively. Therefore spread of flow in percentage for fraction
zone1, zone 2, zone 3 and zone4 are 16%, 16%, 18%, and 18% respectively.
5. The maximum average flow diameters with superplasticizer for fraction F1,
fraction F2, fraction F3, fraction F4, and fraction F5 are 336.5mm, 356mm,
358mm, 362.5mm, and 350.13mm respectively. Therefore spread of flow in
percentage for fraction F1, fraction F2, fraction F3, fraction F4, and fraction F5 are
24%, 26%, 26%, 26%, and 25% respectively.
6. The maximum average flow diameters for manufactured sand zone I, zone II, zone
III, and zone IV are 354.25mm, 347.5mm, 356.57mm, and 357.50mm
respectively. Therefore spread of flow in percentage for fraction zone I, zone II,
zone III, and zone IV are 25%, 25%, 26%, and 26% respectively.
83
Test Results Analysis and Validation
7. Therefore, use of superplasticizer improves the workability (% spread of flow) of
mix from 16% to 26% (maximum value from all fractions) for fraction and from
18% to 26% (maximum value from all zones) for zone.
8. The maximum spread of flow without superplasticizer was observed for water
cement ratio 0.50 and cement fine aggregate proportion 1:1 for all fractions and
zones.
9. The workability of cement mortar (1:1) mixes prepared with manufactured sand
zone II and without the use of superplasticizers are 114.4mm, 200.63mm, and
263.57 for water cement ratio 0.30, 0.40, and 0.50 respectively.
10. The maximum workability of cement mortar (1:1) mixes prepared with
manufactured sand zone II and with the use of superplasticizers are 324.27mm,
347.5mm, and 342.5 for water cement ratio 0.30, 0.40, and 0.50 respectively.
11. The workability of mixes for water cement ratio 0.30, 0.40, and 0.50 improve by
210%, 147%, and 79% with the use of superplasticizer. The similar trend in
cement mortar characteristic was observed for all fractions and zones.
12. The more workable mix is produced with the use of superplasticizer irrespective of
water cement ratio. It is also observed that the effectiveness of the use of
superplasticizer in lower water cement ratio is more compared to high water
cement ratio.
13. Cement fine aggregate proportions from 1:1 to 1:4 are considered to study the
effect of surface area of fine aggregate. The maximum workability (i.e. average
flow diameter) of cement mortar for cement fine aggregate proportion 1:1, 1:2,
1:3, and 1:4 are 347.50mm, 307.16mm, 135.31mm, and 100.12mm respectively
for manufactured sand zone II and water cement ratio 0.40. The surface area of
fine aggregate is more in cement fine aggregate proportion 1:4 compared to 1:1.
14. The workability of cement mortar mixes reduces with an increase of surface area
of fine aggregate. The similar observations are made for all water cement ratio,
different fractions, and different manufactured sand zones.
84
Test Results Analysis and Validation
Statistical Analysis 5.7
Statistical analysis is performed using SPSS software to develop the models for various
fractions and zones to predict the dosages of superplasticizer for the desired workability of
cement mortar. The water cement ratio is selected from the target strength requirement of
any mixes. The workability (average flow diameter) is also targeted such as strength for
any mixes. The geometry (size and shape) of fine aggregate decides the surface area of fine
aggregate. To achieve the desired workability of the mix, superplasticizer dosage is
depended on the water cement ratio, average flow diameter, and surface area of fine
aggregate. Table 5.7 shows the dependent and independent variables for all models.
TABLE 5.7 Detail of Nine Models for Regression Analysis
Sr. No. Model Description Dependent Variable Independent Variables
1 F1 4.75 to 2.36mm
Superplasticizer dosage
(u)
Water cement ratio (u1) Surface area of fine
aggregate (u2) Average flow diameter (u3)
2 F2 2.36 to 1.18mm
3 F3 1.18 to 0.60mm
4 F4 0.60 to 0.30mm
5 F5 0.30 to 0.15mm
6 Z1 Manufactured sand
zone-I
7 Z2 Manufactured sand
zone-II
8 Z3 Manufactured sand
zone-III
9 Z4 Manufactured sand
zone-IV
Linear regression models are carried out to get the relationship between superplasticizer
dosage (u, %), water cement ratio (u1, unitless), the surface area of fine aggregate (u2,
mm2), and average flow diameter of cement mortar (u3, mm) for each fraction and zones.
Total nine models are developed which are presented in Table 5.8.
85
Test Results Analysis and Validation
TABLE 5.8 Summary of Models
Model Equations R2 p-value
F1 u = -0.383+(-4.435*u1)+(1.26E-05*u2)+ (4.40E-03*u3) 0.89 1.85E-08
F2 u = -0.362+(-5.134*u1)+(5.26E-06*u2)+ (4.92E-03*u3) 0.88 7.56E-10
F3 u = -0.316+(-4.929*u1)+(3.29E-06*u2)+ (5.03E-03*u3) 0.84 1.57E-08
F4 u = -0.476+(-4.559*u1)+(2.32E-06*u2)+ (5.29E-03*u3) 0.84 3.28E-08
F5 u = -1.159+(-5.742*u1)+(1.33E-06*u2)+ (6.53E-03*u3) 0.87 4.90E-08
Z1 u = -0.641+(-4.088*u1)+(2.98E-06*u2)+ (3.73E-03*u3) 0.72 4.17E-08
Z2 u = -0.433+(-4.455*u1)+(2.28E-06*u2)+ (3.80E-03*u3) 0.65 7.45E-07
Z3 u = -0.37+(-4.216*u1)+(1.76E-06*u2)+ (3.89E-03*u3) 0.72 6.21E-08
Z4 u = -0.749+(-4.871*u1)+(1.82E-06*u2)+ (5.64E-03*u3) 0.81 1.98E-08
An expression for superplasticizer percentage for fraction F1 is given below
𝑆𝑝 (%) = −0.383 + (−4.435 ∗ 𝑤/𝑐) + (1.26𝐸 − 05 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎) + (4.40𝐸 − 03 ∗ 𝐴𝐹𝐷)
(Eq. 5.1)
It is observed that expression of superplasticizer dosage as a function of a constant, water
cement ratio, the surface area of fine aggregate and average flow diameter is reliable as the
R2 is very high and p is low (p <0.05) for all the nine models.
Validation of Developed Correlation 5.8
The goal of the present study is to predict the dosage of superplasticizer for the desired
workability of cement mortar mix. Prediction of superplasticizer dosage for desired
workability model has been developed and tested to verify its applicability. Total 7
samples of fine aggregates (natural sand) have been collected from different parts of
Gujarat state to validate the developed equations for various zones as illustrated in Figure
5.34. Locations of collected samples are shown by blue star mark in the Gujarat state map.
86
Test Results Analysis and Validation
FIGURE 5.34 Location of Collected Sample for Validation
Sieve analysis test is carried out for each sample to find the zone of the sand sample. Sieve
analysis test results are also used to find the surface area of the fine aggregate sample using
the surface area and weight relationship depicted in Table 5.1.
TABLE 5.9 Details of Sand Samples
Sr. No Location details Zone of sand 1 Chota Udepur-Orasang River Zone I 2 Panchmahal-Goma River Zone II 3 Rajkot-Aji River Zone II 4 Junagadh Zone III 5 Patan-Banas River Zone III 6 Kutch Zone III 7 Ahmedabad-Sabarmati River (Piparaj) Zone IV
Table 5.9 shows the sample locations, and zone of the sand based on sieve analysis. Some
data such as water cement ratio, cement fine aggregate proportions, and the average flow
diameter are assumed for validation of developed models. The expression has been
selected based on the zone of the fine aggregate sample.
87
Test Results Analysis and Validation
The dosage of superplasticizer is predicted with the help of developed models (Table 5.8)
and assumed data such as water cement ratio, cement fine aggregate proportion, and the
targeted average flow diameter. Cement mortar mix is prepared with the predicted dosage
of superplasticizer. Mini flow table test is performed to measure the workability of the
cement mortar mix. The cement mortar spread is measured in terms of the average
diameter of flow i.e. average of four symmetrically distributed measurements.
Experimental average flow diameter result is compared with an assumed average flow
diameter. The variation in the test result is calculated to verify the developed models.
Similarly, random assumption of water cement ratio, cement fine aggregate proportion, and
the average flow diameter has been made for remaining fine aggregate samples.
Experimentations are carried out to find applicability of developed models.
Appendix F shows the verification procedure of developed models to predict the
superplasticizer dosage for the desired workability. Variations in predicated and targeted
workability of cement mortar for all samples are summarized in the Table 5.10.
TABLE 5.10 Variations in Predicated and Actual Workability
Sr. No Location details Zone of sand Variation (%)
1 Chota Udepur-Orasang River Zone I 2.46 2 Panchmahal-Goma River Zone II 10.46 3 Rajkot-Aji River Zone II 11.57 4 Junagadh Zone III 5.12 5 Patan-Banas River Zone III 8.90 6 Kutch Zone III 9.33
7 Ahmedabad-Sabarmati River (Piparaj) Zone IV 6.53
It has been observed that variation in predicated and actual workability of cement mortar is
in the range of 2.46% to 11.57%. Therefore, developed models are validated.
88
Test Results Analysis and Validation
Proposed Methodology for prediction of superplasticizer 5.9
The proposed methodology for prediction of superplasticizer dosage for the desired
workability is given in Appendix G.
The proposed methodology is divided into following steps
Step 1 Available data (Refer Appendix G)
Data for the mix is assumed based on some parameters. For example, water cement ratio is
selected based on strength requirements. Cement type is given by client or construction
site. The average flow diameter is also targeted based on workability requirements of a
mixture. Superplasticizer is selected based on type and availability in the market.
Therefore, the first step is to collect the information of necessary data for the study such as
water cement ratio, average flow diameter (targeted), type of cement, and superplasticizer.
Step 2 Compatibility study (Refer Appendix G)
Cement paste characteristic is one of the major constituents in the present study as
discussed in introduction and literature review chapter. Cement paste characteristics
depend on water cement ratio, type of cement and superplasticizer. As discussed in step 1
water cement ratio and cement type are selected based on strength requirement and
construction site data respectively. Therefore it is very important to select appropriate
superplasticizer. The compatibility of superplasticizer can be determined as discussed in
earlier chapters. If selected superplasticizer is not compatible with cement then there are
two options. The first option is to change the type or brand of superplasticizer and find
compatible superplasticizer for further use. The second option is to change the type of
cement which is feasible in some of the cases.
Use of an appropriate type of superplasticizer gives suitable characteristic of cement paste.
Step 3 Determination of surface area of fine aggregate (Refer Appendix G)
Determination of surface area of fine aggregate is vital to find the dosage of
superplasticizer for the desired workability. Sieve analysis of given sample is carried out to
identify the zone of the sand and proportions of various fractions. Two approaches are
suggested to determine the surface area of fine aggregate. In first approach which is more
precise, the surface area of fine aggregate is determined by digital image analysis and by
calculating the average weight of particles of various fractions of given sample. This
process is worthwhile to derive the relationship between surface areas and weight for given
sample. The second approach which is less time consuming does not require any
sophistication and is easy to apply in field. In this approach, surface area and weight
89
Test Results Analysis and Validation
relationship (Eq. 5.1) as suggested by the authors can be used to determine the surface area
of given sample. Since the authors have derived the relationship for natural river sand, the
second approach is suggested for natural fine aggregates only. Methodology to determine
the surface area of fine aggregate from sieve analysis is specified in Appendix C.
Step 4 Behavior study of cement mortar (Refer Appendix G)
Literature and present research work confirms that the behavior of cement mortar depends
on various parameters. Therefore it is necessary to check the cement mortar characteristics
by adding the maximum dosage of superplasticizer suggested by the manufacturer of
superplasticizers. Cement mortar should be workable at the maximum dosage of
superplasticizer. It should neither be stiff nor be excessively bleeding or segregating. For
the stiff mix at a maximum dosage of superplasticizer, it is suggested to do the adjustment
in the gradation of fine aggregate and water content, or change the superplasticizer. If the
bleeding or segregation is observed in the mix then use of lower dosage of superplasticizer
is suggested till the segregation is stopped.
Step 5 Prediction of dosage of superplasticizer (Refer Appendix G)
If cement mortar is satisfactorily workable at a maximum permissible dosage of
superplasticizer as given in step 4, select the suitable prediction equation (Refer Table 5.8)
according to the zone of fine aggregate and desired workability of cement mortar to
determine the dosage of superplasticizer.
The proposed methodology to determine the superplasticizer dosages for the desired
workability of cement mortar is mainly targeted to reduce the trials in the field.
90
Chapter 6
Conclusions and Recommendations
Conclusions 6.1
The research was aimed at finding out a methodology to estimate the superplasticizer
dosage and reduce the trials for measuring workability of cement mortar. From
experimental results, the following conclusions can be drawn:
1. The Mini-slump test is a good indicator of the relative fluidity of superplasticized
cement paste. It is also an appropriate test to find the optimum dosage of
superplasticizer compared to Marsh cone test.
2. Digital image analysis method has a potential to estimate size and shape
characteristics of aggregate rapidly and accurately. Two dimensional (2D) image
analyses of aggregate give a broad idea of aggregate quality compared to procedure
suggested in various standards. A small arrangement of a camera and a computer
can be used for two dimensional (2D) image analysis techniques which can fairly
estimate shape and size characteristics of fine aggregates.
3. Surface area calculated by digital image analysis for each fraction confirms to the
linear relationship with sieve size. Correlation of surface area to the square size
opening of sieve is proposed as
Y = 5.898 ∗ X − 2.25 Eq. 6.1
Where Y = Surface area of single particle (mm2)
X = Average of sample passing and retaining sieve size (mm)
It has R2 value of 0.987.
4. Models to correlate water cement ratio, workability of mortar, the surface area of
fine aggregates with the dosage of superplasticizer for various fraction (F1 to F5)
and various zone (Z1 to Z4) has been established (Table 5.8) which are having a
very high value of correlation coefficient.
91
Conclusions and Recommendations
5. A methodology to estimate superplasticizer dosage for the desired workability has
been proposed in Appendix G which can be used to reduce the trials in the field.
Recommendations for Future Work 6.2
It is recommended that using the same approach, a model can be developed for concrete to
estimation superplasticizer dosage for the desired workability of concrete.
92
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Publications
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99
Appendix A: Surface Area of 30 Particles for Different Fractions
FIGURE A.1 Particles surface area for fraction 4.75mm to 2.36mm
FIGURE A.2 Particles surface area for fraction 2.36mm to 1.18mm
FIGURE A.3 Particles surface area for fraction 1.18mm to 0.60mm
20.73
26.47
20.41
17.0216.50
21.10
16.86
28.3427.20
19.96
10.9311.5911.37
20.3618.02
16.16
19.9922.43
14.29
9.60
23.8323.57
16.5414.42
21.32
26.87
19.67
16.07
18.8216.80
0.00
5.00
10.00
15.00
20.00
25.00
30.00
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Surf
ace
area
(mm
2 )
Particle
9.82
7.818.79 8.63
9.96
11.1710.52
7.33
10.12
8.23
10.90
7.286.62
8.64 8.918.11
9.01
7.25
5.43
9.35 8.96
5.84
8.147.57
8.757.79
8.478.99
7.48
6.22
0.00
2.00
4.00
6.00
8.00
10.00
12.00
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Surf
ace
area
(mm
2 )
Particle
2.16
1.911.71
2.30
1.69
1.15
1.711.93
1.44 1.45 1.52 1.46
2.48
1.291.16
1.43 1.351.20
1.56
1.98
1.28
1.69
1.09
2.10
1.841.68
1.54
1.23
0.76
1.08
0.00
0.50
1.00
1.50
2.00
2.50
3.00
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Surf
ace
area
(mm
2 )
Particle
100
FIGURE A.4 Particles surface area for fraction 0.60mm to 0.30mm
FIGURE A.5 Particles surface area for fraction 0.30mm to 0.15mm
0.48
0.30
0.48
0.28
0.36
0.46
0.26 0.24
0.300.34
0.48
0.31
0.47
0.25 0.24
0.45
0.27
0.38
0.26
0.33
0.63
0.52
0.28
0.22
0.47
0.54
0.29
0.520.58 0.57
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Surf
ace
area
(mm
2 )
Particle
0.16
0.11
0.07
0.15
0.13
0.09
0.07
0.10
0.13
0.06
0.12
0.16
0.13
0.150.17
0.13
0.17
0.07
0.11
0.15
0.13
0.10
0.18
0.12
0.170.15
0.11 0.11
0.07
0.12
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
0.16
0.18
0.20
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Surf
ace
area
(mm
2 )
Particle
101
Appendix B : Weight to Number of Particle Relationship for Different Fractions
Sieve size
fraction
(mm)
Sample Weight
of sample
(gram)
Number
of
Particles
Average
weight of
sample
(gram)
Average
number
of
Particles
Approximate
weight of one
particle
4.75-2.36
SA1 10.0782 164
10.0424 162.2 0.061914
SA2 10.0511 167
SA3 10.0104 185
SA4 10.0212 143
SA5 10.0511 152
2.36-1.18
SB1 2.0102 225
2.0144 202.8 0.009933
SB2 2.0164 208
SB3 2.0191 182
SB4 2.0122 216
SB5 2.0141 183
1.18-0.60 SC1 0.3225 273
0.3115 251.5 0.001239 SC2 0.3005 230
0.60-0.30 SD1 0.1244 540
0.1225 568.5 0.000215 SD2 0.1206 597
0.30-0.15 SE1 0.0438 1992
0.0475 2012 0.000024 SE2 0.0512 2032
102
Appendix C : Surface Area Calculation
Surface area calculation for Manufactured Sand Zone-I
Table C.1 and C.2 show the procedure of surface area calculation for Manufactured sand
zone-1.
TABLE C.1 Manufactured Sand Zone 1(MFZ-1) from Different Fractions
IS Sieve
Designation Grading for zone-I MFZ-I
10 mm 100 100 100
4.75 mm 90 100 100
2.36 mm 60 95 77.5
1.18 mm 30 70 50
0.60 mm 15 34 24.5
0.30mm 5 20 12.5
0.15mm 0 10 0
Sample = 1000 gram
TABLE C.2 Surface Area Calculation
Particle
size (mm)
Percentage
retained
Weight
retained
(grams)
Approximate
weight of one
particle
(grams)
Number
of
particles
Average
surface area
of one
particle
(mm2)
Surface area
(mm2)
4.75-2.36 22.5 225 0.061914 3634 18.91 68713
2.36-1.18 27.5 275 0.009933 27686 8.40 232635
1.18-0.60 25.5 255 0.001239 205883 1.57 323728
0.60-0.30 12 120 0.000215 556898 0.39 214692
0.30-0.15 12.5 125 0.000024 5294737 0.12 651494
Total Area = 1491264
Table C.3 represents the surface area of different manufactured sand zones.
103
TABLE C.3 Surface Area of Different Manufactured Zone
Zone Weight of sample
(grams)
Surface area
(mm2)
MFZ-I 1000 1491264
MFZ-II 1000 1980015
MFZ-III 1000 2427084
MFZ-IV 1000 2814878
TABLE C.4 Surface Area Calculation for Different Fractions
Particle
size
(mm)
Weight
retained
(grams)
Approximate
weight of one
particle (grams)
Number of
particles
Average
surface area of
one particle
(mm2)
Surface area
(mm2)
4.75-2.36 1000 0.061914 16152 18.91 305394
2.36-1.18 1000 0.009933 100675 8.40 845946
1.18-0.60 1000 0.001239 807384 1.57 1269525
0.60-0.30 1000 0.000215 4640816 0.39 1789101
0.30-0.15 1000 0.000024 42357895 0.12 5211955
TABLE C.5 Surface Area of Different Fractions
Fraction Weight of sample (grams) Surface area (mm2)
Fraction-F1
(4.75 to 2.36mm) 1000 305394
Fraction-F2
(2.36 to 1.18mm) 1000 845946
Fraction-F3
(1.18 to 0.60mm) 1000 1269525
Fraction-F4
(0.60 to 0.30mm) 1000 1789101
Fraction-F5
(0.30 to 0.15mm) 1000 5211955
104
Surface Area Calculation for Random Sand Sample from Sieve Analysis
Sand sample = 1000 gm
TABLE C.6 Sieve Analysis
IS Sieve
Designation
Weight retained
(gm)
Cumulative
weight retained
(gm)
Percentage
weight retained
Cumulative
percentage
passing
10 mm 12 12 1.2 98.8
4.75 mm 70 82 8.2 91.8
2.36 mm 120 202 20.2 79.8
1.18 mm 130 332 33.2 66.8
0.60 mm 480 812 81.2 18.8
0.30mm 152 964 96.4 3.6
0.15mm 12 12 1.2
Pan 36
Fineness
Modulus = 2.4
Zone of Sand
=II
TABLE C.7 Surface Area Calculation of Random Sample
Particle
size (mm)
Weight
retained
(gm)
Approximate
weight of one
particle (gm)
Number of
particles
Average
surface area of
one particle
(mm2)
Surface area
(mm2)
4.75-2.36 225 0.061914 1131 18.91 21377.58
2.36-1.18 275 0.009933 12081 8.40 101513.56
1.18-0.60 255 0.001239 104960 1.57 165038.20
0.60-0.30 120 0.000215 2227592 0.39 858768.48
0.30-0.15 125 0.000024 6438400 0.12 792217.22
Total
weight
= 952
Total Area = 1938915.04
105
Appendix D : Workability of Cement Mortar for Different Fractions
TABLE D.1 W/C Ratio 0.30 and Fine Aggregate Fraction F1 (4.75 to 2.36mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350.00 350.00 0.30 0.00 0.00 113.90 106888
1:2 233.00 466.00 0.30 0.00 0.00 100.00 142314
1:3 175.00 525.00 0.30 0.00 0.00 100.00 160332
1:4 140.00 560.00 0.30 0.00 0.00 100.00 171021
1:1 350.00 350.00 0.30 0.31 1.09 128.35 106888
1:2 233.00 466.00 0.30 0.31 0.73 100.18 142314
1:3 175.00 525.00 0.30 0.31 0.55 100.00 160332
1:4 140.00 560.00 0.30 0.31 0.44 100.00 171021
1:1 350.00 350.00 0.30 0.63 2.19 163.43 106888
1:2 233.00 466.00 0.30 0.63 1.46 104.85 142314
1:3 175.00 525.00 0.30 0.63 1.09 100.00 160332
1:4 140.00 560.00 0.30 0.63 0.88 100.00 171021
1:1 350.00 350.00 0.30 0.94 3.28 319.96 106888
1:2 233.00 466.00 0.30 0.94 2.18 149.11 142314
1:3 175.00 525.00 0.30 0.94 1.64 100.00 160332
1:4 140.00 560.00 0.30 0.94 1.31 100.00 171021
1:1 350.00 350.00 0.30 1.25 4.38 303.75 106888
1:2 233.00 466.00 0.30 1.25 2.91 213.88 142314
1:3 175.00 525.00 0.30 1.25 2.19 100.00 160332
1:4 140.00 560.00 0.30 1.25 1.75 100.00 171021
1:1 350.00 350.00 0.30 1.50 5.25 336.50 106888
1:2 233.00 466.00 0.30 1.50 3.50 195.75 142314
1:3 175.00 525.00 0.30 1.50 2.63 103.00 160332
1:4 140.00 560.00 0.30 1.50 2.10 100.00 171021
* Stiff mix ** Segregation
106
TABLE D.2 W/C Ratio 0.40 and Fine Aggregate Fraction F1 (4.75 to 2.36mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350.00 350.00 0.40 0.00 0.00 191.10 106888
1:2 233.00 466.00 0.40 0.00 0.00 118.47 142314
1:3 175.00 525.00 0.40 0.00 0.00 101.62 160332
1:4 140.00 560.00 0.40 0.00 0.00 100.00 171021
1:1 350.00 350.00 0.40 0.25 0.88 275.25 106888
1:2 233.00 466.00 0.40 0.25 0.58 173.68 142314
1:3 175.00 525.00 0.40 0.25 0.44 100.00 160332
1:4 140.00 560.00 0.40 0.25 0.35 100.00 171021
1:1 350.00 350.00 0.40 0.50 1.75 300.70 106888
1:2 233.00 466.00 0.40 0.50 1.17 234.57 142314
1:3 175.00 525.00 0.40 0.50 0.88 100.00 160332
1:4 140.00 560.00 0.40 0.50 0.70 100.00 171021
1:1 350.00 350.00 0.40 0.75 2.63 309.46 106888
1:2 233.00 466.00 0.40 0.75 1.75 247.60 142314
1:3 175.00 525.00 0.40 0.75 1.31 100.00 160332
1:4 140.00 560.00 0.40 0.75 1.05 100.00 171021
1:1 350.00 350.00 0.40 1.00 3.50 ** 106888
1:2 233.00 466.00 0.40 1.00 2.33 266.28 142314
1:3 175.00 525.00 0.40 1.00 1.75 100.00 160332
1:4 140.00 560.00 0.40 1.00 1.40 100.00 171021
1:1 350.00 350.00 0.40 1.25 4.38 ** 106888
1:2 233.00 466.00 0.40 1.25 2.91 ** 142314
1:3 175.00 525.00 0.40 1.25 2.19 100.00 160332
1:4 140.00 560.00 0.40 1.25 1.75 100.00 171021
* Stiff mix ** Segregation
107
TABLE D.3 W/C Ratio 0.50 and Fine Aggregate Fraction F1 (4.75 to 2.36mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350.00 350.00 0.50 0.00 0.00 237.22 106888
1:2 233.00 466.00 0.50 0.00 0.00 190.49 142314
1:3 175.00 525.00 0.50 0.00 0.00 107.58 160332
1:4 140.00 560.00 0.50 0.00 0.00 100.00 171021
1:1 350.00 350.00 0.50 0.19 0.66 296.81 106888
1:2 233.00 466.00 0.50 0.19 0.44 237.83 142314
1:3 175.00 525.00 0.50 0.19 0.33 188.45 160332
1:4 140.00 560.00 0.50 0.19 0.26 100.00 171021
1:1 350.00 350.00 0.50 0.38 1.31 323.65 106888
1:2 233.00 466.00 0.50 0.38 0.87 277.38 142314
1:3 175.00 525.00 0.50 0.38 0.66 187.66 160332
1:4 140.00 560.00 0.50 0.38 0.53 100.00 171021
1:1 350.00 350.00 0.50 0.56 1.97 ** 106888
1:2 233.00 466.00 0.50 0.56 1.31 306.42 142314
1:3 175.00 525.00 0.50 0.56 0.98 * 160332
1:4 140.00 560.00 0.50 0.56 0.79 * 171021
1:1 350.00 350.00 0.50 0.75 2.63 ** 106888
1:2 233.00 466.00 0.50 0.75 1.75 313.39 142314
1:3 175.00 525.00 0.50 0.75 1.31 * 160332
1:4 140.00 560.00 0.50 0.75 1.05 * 171021
1:1 350.00 350.00 0.50 0.94 3.28 ** 106888
1:2 233.00 466.00 0.50 0.94 2.18 ** 142314
1:3 175.00 525.00 0.50 0.94 1.64 ** 160332
1:4 140.00 560.00 0.50 0.94 1.31 * 171021
* Stiff mix ** Segregation
108
TABLE D.4 W/C Ratio 0.30 and Fine Aggregate Fraction F2 (2.36 to 1.18mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.3 0.00 0.00 112.30 296081
1:2 233 466 0.3 0.00 0.00 102.83 394211
1:3 175 525 0.3 0.00 0.00 100.00 444122
1:4 140 560 0.3 0.00 0.00 100.00 473730
1:1 350 350 0.3 0.31 1.09 145.62 296081
1:2 233 466 0.3 0.31 0.73 100.08 394211
1:3 175 525 0.3 0.31 0.55 100.13 444122
1:4 140 560 0.3 0.31 0.44 100.00 473730
1:1 350 350 0.3 0.63 2.19 256.02 296081
1:2 233 466 0.3 0.63 1.46 110.76 394211
1:3 175 525 0.3 0.63 1.09 100.00 444122
1:4 140 560 0.3 0.63 0.88 100.00 473730
1:1 350 350 0.3 0.94 3.28 322.50 296081
1:2 233 466 0.3 0.94 2.18 143.81 394211
1:3 175 525 0.3 0.94 1.64 100.00 444122
1:4 140 560 0.3 0.94 1.31 100.00 473730
1:1 350 350 0.3 1.25 4.38 342.25 296081
1:2 233 466 0.3 1.25 2.91 157.00 394211
1:3 175 525 0.3 1.25 2.19 100.00 444122
1:4 140 560 0.3 1.25 1.75 100.00 473730
1:1 350 350 0.3 1.50 5.25 332.25 296081
1:2 233 466 0.3 1.50 3.50 134.47 394211
1:3 175 525 0.3 1.50 2.63 100.11 444122
1:4 140 560 0.3 1.50 2.10 100.18 473730
* Stiff mix ** Segregation
109
TABLE D.5 W/C Ratio 0.40 and Fine Aggregate Fraction F2 (2.36 to 1.18mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.4 0.00 0.00 193.05 296081
1:2 233 466 0.4 0.00 0.00 115.49 394211
1:3 175 525 0.4 0.00 0.00 100.20 444122
1:4 140 560 0.4 0.00 0.00 100.00 473730
1:1 350 350 0.4 0.25 0.88 273.45 296081
1:2 233 466 0.4 0.25 0.58 156.61 394211
1:3 175 525 0.4 0.25 0.44 102.61 444122
1:4 140 560 0.4 0.25 0.35 100.00 473730
1:1 350 350 0.4 0.50 1.75 311.29 296081
1:2 233 466 0.4 0.50 1.17 199.15 394211
1:3 175 525 0.4 0.50 0.88 124.43 444122
1:4 140 560 0.4 0.50 0.70 100.00 473730
1:1 350 350 0.4 0.75 2.63 347.75 296081
1:2 233 466 0.4 0.75 1.75 235.00 394211
1:3 175 525 0.4 0.75 1.31 156.85 444122
1:4 140 560 0.4 0.75 1.05 100.00 473730
1:1 350 350 0.4 1.00 3.50 ** 296081
1:2 233 466 0.4 1.00 2.33 249.15 394211
1:3 175 525 0.4 1.00 1.75 * 444122
1:4 140 560 0.4 1.00 1.40 * 473730
1:1 350 350 0.4 1.25 4.38 ** 296081
1:2 233 466 0.4 1.25 2.91 ** 394211
1:3 175 525 0.4 1.25 2.19 * 444122
1:4 140 560 0.4 1.25 1.75 * 473730
* Stiff mix ** Segregation
110
TABLE D.6 W/C Ratio 0.50 and Fine Aggregate Fraction F2 (2.36 to 1.18mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.5 0.00 0.00 232.36 296081
1:2 233 466 0.5 0.00 0.00 169.49 394211
1:3 175 525 0.5 0.00 0.00 106.97 444122
1:4 140 560 0.5 0.00 0.00 104.55 473730
1:1 350 350 0.5 0.19 0.66 304.26 296081
1:2 233 466 0.5 0.19 0.44 254.81 394211
1:3 175 525 0.5 0.19 0.33 121.71 444122
1:4 140 560 0.5 0.19 0.26 137.38 473730
1:1 350 350 0.5 0.38 1.31 356.00 296081
1:2 233 466 0.5 0.38 0.87 288.59 394211
1:3 175 525 0.5 0.38 0.66 214.00 444122
1:4 140 560 0.5 0.38 0.53 152.19 473730
1:1 350 350 0.5 0.56 1.97 ** 296081
1:2 233 466 0.5 0.56 1.31 280.95 394211
1:3 175 525 0.5 0.56 0.98 187.61 444122
1:4 140 560 0.5 0.56 0.79 160.87 473730
1:1 350 350 0.5 0.75 2.63 ** 296081
1:2 233 466 0.5 0.75 1.75 ** 394211
1:3 175 525 0.5 0.75 1.31 ** 444122
1:4 140 560 0.5 0.75 1.05 163.56 473730
1:1 350 350 0.5 0.94 3.28 ** 296081
1:2 233 466 0.5 0.94 2.18 ** 394211
1:3 175 525 0.5 0.94 1.64 ** 444122
1:4 140 560 0.5 0.94 1.31 158.57 473730
* Stiff mix ** Segregation
111
TABLE D.7 W/C Ratio 0.30 and Fine Aggregate Fraction F3 (1.18 to 0.60mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.3 0.00 0.00 125.73 444334
1:2 233 466 0.3 0.00 0.00 100.46 591598
1:3 175 525 0.3 0.00 0.00 * 666500
1:4 140 560 0.3 0.00 0.00 * 710934
1:1 350 350 0.3 0.31 1.09 130.95 444334
1:2 233 466 0.3 0.31 0.73 100.07 591598
1:3 175 525 0.3 0.31 0.55 * 666500
1:4 140 560 0.3 0.31 0.44 * 710934
1:1 350 350 0.3 0.63 2.19 206.62 444334
1:2 233 466 0.3 0.63 1.46 105.23 591598
1:3 175 525 0.3 0.63 1.09 * 666500
1:4 140 560 0.3 0.63 0.88 * 710934
1:1 350 350 0.3 0.94 3.28 313.67 444334
1:2 233 466 0.3 0.94 2.18 114.31 591598
1:3 175 525 0.3 0.94 1.64 * 666500
1:4 140 560 0.3 0.94 1.31 * 710934
1:1 350 350 0.3 1.25 4.38 332.75 444334
1:2 233 466 0.3 1.25 2.91 117.91 591598
1:3 175 525 0.3 1.25 2.19 * 666500
1:4 140 560 0.3 1.25 1.75 * 710934
1:1 350 350 0.3 1.50 5.25 308.58 444334
1:2 233 466 0.3 1.50 3.50 121.86 591598
1:3 175 525 0.3 1.50 2.63 * 666500
1:4 140 560 0.3 1.50 2.10 * 710934
* Stiff mix ** Segregation
112
TABLE D.8 W/C Ratio 0.40 and Fine Aggregate Fraction F3 (1.18 to 0.60mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.4 0.00 0.00 188.54 444334
1:2 233 466 0.4 0.00 0.00 123.53 591598
1:3 175 525 0.4 0.00 0.00 100.25 666500
1:4 140 560 0.4 0.00 0.00 * 710934
1:1 350 350 0.4 0.25 0.88 284.27 444334
1:2 233 466 0.4 0.25 0.58 152.22 591598
1:3 175 525 0.4 0.25 0.44 103.82 666500
1:4 140 560 0.4 0.25 0.35 * 710934
1:1 350 350 0.4 0.50 1.75 314.24 444334
1:2 233 466 0.4 0.50 1.17 203.51 591598
1:3 175 525 0.4 0.50 0.88 112.08 666500
1:4 140 560 0.4 0.50 0.70 * 710934
1:1 350 350 0.4 0.75 2.63 358.00 444334
1:2 233 466 0.4 0.75 1.75 164.35 591598
1:3 175 525 0.4 0.75 1.31 117.33 666500
1:4 140 560 0.4 0.75 1.05 100.00 710934
1:1 350 350 0.4 1.00 3.50 ** 444334
1:2 233 466 0.4 1.00 2.33 220.93 591598
1:3 175 525 0.4 1.00 1.75 111.60 666500
1:4 140 560 0.4 1.00 1.40 * 710934
1:1 350 350 0.4 1.25 4.38 ** 444334
1:2 233 466 0.4 1.25 2.91 209.07 591598
1:3 175 525 0.4 1.25 2.19 106.27 666500
1:4 140 560 0.4 1.25 1.75 * 710934
* Stiff mix ** Segregation
113
TABLE D.9 W/C Ratio 0.50 and Fine Aggregate Fraction F3 (1.18 to 0.60mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.5 0.00 0.00 253.06 444334
1:2 233 466 0.5 0.00 0.00 195.78 591598
1:3 175 525 0.5 0.00 0.00 108.41 666500
1:4 140 560 0.5 0.00 0.00 100.65* 710934
1:1 350 350 0.5 0.19 0.66 314.43 444334
1:2 233 466 0.5 0.19 0.44 240.96 591598
1:3 175 525 0.5 0.19 0.33 115.57 666500
1:4 140 560 0.5 0.19 0.26 * 710934
1:1 350 350 0.5 0.38 1.31 352.25 444334
1:2 233 466 0.5 0.38 0.87 282.03 591598
1:3 175 525 0.5 0.38 0.66 182.29 666500
1:4 140 560 0.5 0.38 0.53 * 710934
1:1 350 350 0.5 0.56 1.97 ** 444334
1:2 233 466 0.5 0.56 1.31 272.16 591598
1:3 175 525 0.5 0.56 0.98 137.07 666500
1:4 140 560 0.5 0.56 0.79 * 710934
1:1 350 350 0.5 0.75 2.63 ** 444334
1:2 233 466 0.5 0.75 1.75 264.76 591598
1:3 175 525 0.5 0.75 1.31 126.40 666500
1:4 140 560 0.5 0.75 1.05 101.20* 710934
1:1 350 350 0.5 0.94 3.28 ** 444334
1:2 233 466 0.5 0.94 2.18 255.51 591598
1:3 175 525 0.5 0.94 1.64 120.71 666500
1:4 140 560 0.5 0.94 1.31 140.02** 710934
* Stiff mix ** Segregation
114
TABLE D.10 W/C Ratio 0.30 and Fine Aggregate Fraction F4 (0.60 to 0.30mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.3 0.00 0.00 109.34 626185
1:2 233 466 0.3 0.00 0.00 100.00* 833721
1:3 175 525 0.3 0.00 0.00 100.00* 939278
1:4 140 560 0.3 0.00 0.00 100.00* 1001897
1:1 350 350 0.3 0.31 1.09 125.41 626185
1:2 233 466 0.3 0.31 0.73 100.00* 833721
1:3 175 525 0.3 0.31 0.55 100.00* 939278
1:4 140 560 0.3 0.31 0.44 100.00* 1001897
1:1 350 350 0.3 0.63 2.19 159.73 626185
1:2 233 466 0.3 0.63 1.46 100.00* 833721
1:3 175 525 0.3 0.63 1.09 100.00* 939278
1:4 140 560 0.3 0.63 0.88 100.00* 1001897
1:1 350 350 0.3 0.94 3.28 319.48 626185
1:2 233 466 0.3 0.94 2.18 100.00* 833721.1
1:3 175 525 0.3 0.94 1.64 100.00* 939278
1:4 140 560 0.3 0.94 1.31 100.00* 1001897
1:1 350 350 0.3 1.25 4.38 318.87 626185
1:2 233 466 0.3 1.25 2.91 100.29 833721.1
1:3 175 525 0.3 1.25 2.19 100.00* 939278
1:4 140 560 0.3 1.25 1.75 100.00* 1001897
1:1 350 350 0.3 1.50 5.25 ** 626185
1:2 233 466 0.3 1.50 3.50 105.61 833721.1
1:3 175 525 0.3 1.50 2.63 100.04* 939278
1:4 140 560 0.3 1.50 2.10 100.18* 1001897
* Stiff mix ** Segregation
115
TABLE D.11 W/C Ratio 0.40 and Fine Aggregate Fraction F4 (0.60 to 0.30mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.4 0.00 0.00 197.28 626185
1:2 233 466 0.4 0.00 0.00 112.28 833721
1:3 175 525 0.4 0.00 0.00 100.72* 939278
1:4 140 560 0.4 0.00 0.00 100.00* 1001897
1:1 350 350 0.4 0.25 0.88 262.21 626185
1:2 233 466 0.4 0.25 0.58 141.36 833721
1:3 175 525 0.4 0.25 0.44 100.00* 939278
1:4 140 560 0.4 0.25 0.35 100.00* 1001897
1:1 350 350 0.4 0.50 1.75 308.48 626185
1:2 233 466 0.4 0.50 1.17 155.64 833721
1:3 175 525 0.4 0.50 0.88 100.00* 939278
1:4 140 560 0.4 0.50 0.70 100.00* 1001897
1:1 350 350 0.4 0.75 2.63 347.50 626185
1:2 233 466 0.4 0.75 1.75 182.32 833721.1
1:3 175 525 0.4 0.75 1.31 100.00* 939278
1:4 140 560 0.4 0.75 1.05 100.00* 1001897
1:1 350 350 0.4 1.00 3.50 352.25 626185
1:2 233 466 0.4 1.00 2.33 183.27 833721.1
1:3 175 525 0.4 1.00 1.75 100.00* 939278
1:4 140 560 0.4 1.00 1.40 100.00* 1001897
1:1 350 350 0.4 1.25 4.38 358.25 626185
1:2 233 466 0.4 1.25 2.91 160.15 833721.1
1:3 175 525 0.4 1.25 2.19 100.02* 939278
1:4 140 560 0.4 1.25 1.75 100.88* 1001897
* Stiff mix ** Segregation
116
TABLE D.12 W/C Ratio 0.50 and Fine Aggregate Fraction F4 (0.60 to 0.30mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.5 0.00 0.00 256.92 626185
1:2 233 466 0.5 0.00 0.00 178.90 833721
1:3 175 525 0.5 0.00 0.00 100.81* 939278
1:4 140 560 0.5 0.00 0.00 100.00* 1001897
1:1 350 350 0.5 0.19 0.66 316.59 626185
1:2 233 466 0.5 0.19 0.44 204.23 833721
1:3 175 525 0.5 0.19 0.33 100.00* 939278
1:4 140 560 0.5 0.19 0.26 100.00* 1001897
1:1 350 350 0.5 0.38 1.31 348.00 626185
1:2 233 466 0.5 0.38 0.87 253.37 833721
1:3 175 525 0.5 0.38 0.66 100.00* 939278
1:4 140 560 0.5 0.38 0.53 100.00* 1001897
1:1 350 350 0.5 0.56 1.97 362.50 626185
1:2 233 466 0.5 0.56 1.31 282.66 833721.1
1:3 175 525 0.5 0.56 0.98 100.00* 939278
1:4 140 560 0.5 0.56 0.79 100.00* 1001897
1:1 350 350 0.5 0.75 2.63 ** 626185
1:2 233 466 0.5 0.75 1.75 279.79 833721.1
1:3 175 525 0.5 0.75 1.31 100.16* 939278
1:4 140 560 0.5 0.75 1.05 100.00* 1001897
1:1 350 350 0.5 0.94 3.28 ** 626185
1:2 233 466 0.5 0.94 2.18 272.73 833721.1
1:3 175 525 0.5 0.94 1.64 100.14* 939278
1:4 140 560 0.5 0.94 1.31 102.53* 1001897
* Stiff mix ** Segregation
117
TABLE D.13 W/C Ratio 0.30 and Fine Aggregate Fraction F5 (0.30 to 0.15mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.3 0.00 0.00 100.25* 1824184
1:2 233 466 0.3 0.00 0.00 100.00* 2428771
1:3 175 525 0.3 0.00 0.00 100.00* 2736277
1:4 140 560 0.3 0.00 0.00 100.00* 2918695
1:1 350 350 0.3 0.31 1.09 116.36 1824184
1:2 233 466 0.3 0.31 0.73 100.00* 2428771
1:3 175 525 0.3 0.31 0.55 100.00* 2736277
1:4 140 560 0.3 0.31 0.44 100.00* 2918695
1:1 350 350 0.3 0.63 2.19 131.88 1824184
1:2 233 466 0.3 0.63 1.46 100.00* 2428771
1:3 175 525 0.3 0.63 1.09 100.00* 2736277
1:4 140 560 0.3 0.63 0.88 100.00* 2918695
1:1 350 350 0.3 0.94 3.28 142.22 1824184
1:2 233 466 0.3 0.94 2.18 100.00* 2428771
1:3 175 525 0.3 0.94 1.64 100.00* 2736277
1:4 140 560 0.3 0.94 1.31 100.00* 2918695
1:1 350 350 0.3 1.25 4.38 274.86 1824184
1:2 233 466 0.3 1.25 2.91 100.00* 2428771
1:3 175 525 0.3 1.25 2.19 100.00* 2736277
1:4 140 560 0.3 1.25 1.75 100.00* 2918695
1:1 350 350 0.3 1.50 5.25 289.02 1824184
1:2 233 466 0.3 1.50 3.50 100.00* 2428771
1:3 175 525 0.3 1.50 2.63 100.00* 2736277
1:4 140 560 0.3 1.50 2.10 100.00* 2918695
* Stiff mix ** Segregation
118
TABLE D.14 W/C Ratio 0.40 and Fine Aggregate Fraction F5 (0.30 to 0.15mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.4 0.00 0.00 160.11 1824184
1:2 233 466 0.4 0.00 0.00 100.43 2428771
1:3 175 525 0.4 0.00 0.00 100.00* 2736277
1:4 140 560 0.4 0.00 0.00 100.00* 2918695
1:1 350 350 0.4 0.25 0.88 192.79 1824184
1:2 233 466 0.4 0.25 0.58 100.12* 2428771
1:3 175 525 0.4 0.25 0.44 100.00* 2736277
1:4 140 560 0.4 0.25 0.35 100.00* 2918695
1:1 350 350 0.4 0.50 1.75 253.42 1824184
1:2 233 466 0.4 0.50 1.17 106.20 2428771
1:3 175 525 0.4 0.50 0.88 100.00* 2736277
1:4 140 560 0.4 0.50 0.70 100.00* 2918695
1:1 350 350 0.4 0.75 2.63 342.00 1824184
1:2 233 466 0.4 0.75 1.75 112.62 2428771
1:3 175 525 0.4 0.75 1.31 100.00* 2736277
1:4 140 560 0.4 0.75 1.05 100.00* 2918695
1:1 350 350 0.4 1.00 3.50 ** 1824184
1:2 233 466 0.4 1.00 2.33 125.64 2428771
1:3 175 525 0.4 1.00 1.75 100.00* 2736277
1:4 140 560 0.4 1.00 1.40 100.00* 2918695
1:1 350 350 0.4 1.25 4.38 ** 1824184
1:2 233 466 0.4 1.25 2.91 119.81 2428771
1:3 175 525 0.4 1.25 2.19 100.00* 2736277
1:4 140 560 0.4 1.25 1.75 100.00* 2918695
* Stiff mix ** Segregation
119
TABLE D.15 W/C Ratio 0.50 and Fine Aggregate Fraction F5 (0.30 to 0.15mm)
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.5 0.00 0.00 241.27 1824184
1:2 233 466 0.5 0.00 0.00 118.42 2428771
1:3 175 525 0.5 0.00 0.00 100.21* 2736277
1:4 140 560 0.5 0.00 0.00 100.00* 2918695
1:1 350 350 0.5 0.19 0.66 301.10 1824184
1:2 233 466 0.5 0.19 0.44 143.75 2428771
1:3 175 525 0.5 0.19 0.33 100.00* 2736277
1:4 140 560 0.5 0.19 0.26 100.00* 2918695
1:1 350 350 0.5 0.38 1.31 317.69 1824184
1:2 233 466 0.5 0.38 0.87 168.48 2428771
1:3 175 525 0.5 0.38 0.66 100.00* 2736277
1:4 140 560 0.5 0.38 0.53 100.00* 2918695
1:1 350 350 0.5 0.56 1.97 343.75 1824184
1:2 233 466 0.5 0.56 1.31 182.64 2428771
1:3 175 525 0.5 0.56 0.98 100.00* 2736277
1:4 140 560 0.5 0.56 0.79 100.00* 2918695
1:1 350 350 0.5 0.75 2.63 350.13** 1824184
1:2 233 466 0.5 0.75 1.75 177.10 2428771
1:3 175 525 0.5 0.75 1.31 100.00* 2736277
1:4 140 560 0.5 0.75 1.05 100.00* 2918695
1:1 350 350 0.5 0.94 3.28 ** 1824184
1:2 233 466 0.5 0.94 2.18 181.07 2428771
1:3 175 525 0.5 0.94 1.64 100.00* 2736277
1:4 140 560 0.5 0.94 1.31 100.00* 2918695
* Stiff mix ** Segregation
120
Appendix E : Workability of Cement Mortar for Different Zones
TABLE E.1 W/C Ratio 0.30 and Manufactured Sand Zone I
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.3 0.00 0.00 101.70* 521942
1:2 233 466 0.3 0.00 0.00 100.18* 694929
1:3 175 525 0.3 0.00 0.00 100.00* 782914
1:4 140 560 0.3 0.00 0.00 100.00* 835108
1:1 350 350 0.3 0.31 1.09 131.48 521942
1:2 233 466 0.3 0.31 0.73 104.07 694929
1:3 175 525 0.3 0.31 0.55 100.00* 782914
1:4 140 560 0.3 0.31 0.44 100.00* 835108
1:1 350 350 0.3 0.63 2.19 203.03 521942
1:2 233 466 0.3 0.63 1.46 123.45 694929
1:3 175 525 0.3 0.63 1.09 100.00* 782914
1:4 140 560 0.3 0.63 0.88 100.00* 835108
1:1 350 350 0.3 0.94 3.28 329.50 521942
1:2 233 466 0.3 0.94 2.18 232.68 694929
1:3 175 525 0.3 0.94 1.64 100.02* 782914
1:4 140 560 0.3 0.94 1.31 100.00* 835108
1:1 350 350 0.3 1.25 4.28 338.50 521942
1:2 233 466 0.3 1.25 2.91 236.80 694929
1:3 175 525 0.3 1.25 2.19 103.48* 782914
1:4 140 560 0.3 1.25 1.75 100.00* 835108
1:1 350 350 0.3 1.50 5.25 ** 521942
1:2 233 466 0.3 1.50 3.50 228.85 694929
1:3 175 525 0.3 1.50 2.63 107.21 782914
1:4 140 560 0.3 1.50 2.10 100.01* 835108
* Stiff mix ** Segregation
121
TABLE E.2 W/C Ratio 0.40 and Manufactured Sand Zone I
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.4 0.00 0.00 201.50 521942
1:2 233 466 0.4 0.00 0.00 136.39 694929
1:3 175 525 0.4 0.00 0.00 100.01* 782914
1:4 140 560 0.4 0.00 0.00 100.00* 835108
1:1 350 350 0.4 0.25 0.88 213.01 521942
1:2 233 466 0.4 0.25 0.58 204.54 694929
1:3 175 525 0.4 0.25 0.44 120.51 782914
1:4 140 560 0.4 0.25 0.35 100.00* 835108
1:1 350 350 0.4 0.50 1.75 308.14 521942
1:2 233 466 0.4 0.50 1.17 224.65 694929
1:3 175 525 0.4 0.50 0.88 137.89 782914
1:4 140 560 0.4 0.50 0.70 100.00* 835108
1:1 350 350 0.4 0.75 2.63 354.25 521942
1:2 233 466 0.4 0.75 1.75 284.95 694929
1:3 175 525 0.4 0.75 1.31 159.82 782914
1:4 140 560 0.4 0.75 1.05 100.00* 835108
1:1 350 350 0.4 1.00 3.50 ** 521942
1:2 233 466 0.4 1.00 2.33 295.14 694929
1:3 175 525 0.4 1.00 1.75 158.49 782914
1:4 140 560 0.4 1.00 1.40 100.08* 835108
1:1 350 350 0.4 1.25 4.38 ** 521942
1:2 233 466 0.4 1.25 2.91 305.23 694929
1:3 175 525 0.4 1.25 2.19 169.49 782914
1:4 140 560 0.4 1.25 1.75 107.53* 835108
* Stiff mix ** Segregation
122
TABLE E.3 W/C Ratio 0.50 and Manufactured Sand Zone I
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.5 0.00 0.00 257.70 521942
1:2 233 466 0.5 0.00 0.00 214.95 694929
1:3 175 525 0.5 0.00 0.00 116.11 782914
1:4 140 560 0.5 0.00 0.00 100.00* 835108
1:1 350 350 0.5 0.19 0.66 317.15 521942
1:2 233 466 0.5 0.19 0.44 267.08 694929
1:3 175 525 0.5 0.19 0.33 168.45 782914
1:4 140 560 0.5 0.19 0.26 100.00* 835108
1:1 350 350 0.5 0.38 1.31 348.25 521942
1:2 233 466 0.5 0.38 0.87 285.22 694929
1:3 175 525 0.5 0.38 0.66 225.39 782914
1:4 140 560 0.5 0.38 0.53 100.00 835108
1:1 350 350 0.5 0.56 1.97 ** 521942
1:2 233 466 0.5 0.56 1.31 310.07 694929
1:3 175 525 0.5 0.56 0.98 241.77 782914
1:4 140 560 0.5 0.56 0.79 100.06* 835108
1:1 350 350 0.5 0.75 2.63 ** 521942
1:2 233 466 0.5 0.75 1.75 ** 694929
1:3 175 525 0.5 0.75 1.31 256.73 782914
1:4 140 560 0.5 0.75 1.05 103.65* 835108
1:1 350 350 0.5 0.94 3.28 ** 521942
1:2 233 466 0.5 0.94 2.18 ** 694929
1:3 175 525 0.5 0.94 1.64 262.05 782914
1:4 140 560 0.5 0.94 1.31 111.73 835108
* Stiff mix ** Segregation
123
TABLE E.4 W/C Ratio 0.30 and Manufactured Sand Zone II
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.3 0.00 0.00 114.40 693005
1:2 233 466 0.3 0.00 0.00 100.00* 922687
1:3 175 525 0.3 0.00 0.00 100.00* 1039508
1:4 140 560 0.3 0.00 0.00 100.00* 1108808
1:1 350 350 0.3 0.31 1.09 161.65 693005
1:2 233 466 0.3 0.31 0.73 100.47* 922687
1:3 175 525 0.3 0.31 0.55 100.00* 1039508
1:4 140 560 0.3 0.31 0.44 100.00* 1108808
1:1 350 350 0.3 0.63 2.19 167.15 693005
1:2 233 466 0.3 0.63 1.46 104.53 922687
1:3 175 525 0.3 0.63 1.09 100.00* 1039508
1:4 140 560 0.3 0.63 0.88 100.00* 1108808
1:1 350 350 0.3 0.94 3.28 313.02 693005
1:2 233 466 0.3 0.94 2.18 113.66 922687
1:3 175 525 0.3 0.94 1.64 100.00* 1039508
1:4 140 560 0.3 0.94 1.31 100.00* 1108808
1:1 350 350 0.3 1.25 4.28 342.50 693005
1:2 233 466 0.3 1.25 2.91 218.88 922687
1:3 175 525 0.3 1.25 2.19 100.00* 1039508
1:4 140 560 0.3 1.25 1.75 100.00* 1108808
1:1 350 350 0.3 1.50 5.25 324.47 693005
1:2 233 466 0.3 1.50 3.50 204.97 922687
1:3 175 525 0.3 1.50 2.63 100.03* 1039508
1:4 140 560 0.3 1.50 2.10 100.00* 1108808
* Stiff mix ** Segregation
124
TABLE E.5 W/C Ratio 0.40 and Manufactured Sand Zone II
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.4 0.00 0.00 200.63 693005
1:2 233 466 0.4 0.00 0.00 125.98 922687
1:3 175 525 0.4 0.00 0.00 100.00* 1039508
1:4 140 560 0.4 0.00 0.00 100.00* 1108808
1:1 350 350 0.4 0.25 0.88 251.70 693005
1:2 233 466 0.4 0.25 0.58 167.43 922687
1:3 175 525 0.4 0.25 0.44 109.40 1039508
1:4 140 560 0.4 0.25 0.35 100.00* 1108808
1:1 350 350 0.4 0.50 1.75 315.43 693005
1:2 233 466 0.4 0.50 1.17 246.50 922687
1:3 175 525 0.4 0.50 0.88 132.11 1039508
1:4 140 560 0.4 0.50 0.70 100.00* 1108808
1:1 350 350 0.4 0.75 2.63 347.50 693005
1:2 233 466 0.4 0.75 1.75 300.50 922687
1:3 175 525 0.4 0.75 1.31 131.22 1039508
1:4 140 560 0.4 0.75 1.05 100.00* 1108808
1:1 350 350 0.4 1.00 3.50 ** 693005
1:2 233 466 0.4 1.00 2.33 307.16 922687
1:3 175 525 0.4 1.00 1.75 118.81 1039508
1:4 140 560 0.4 1.00 1.40 100.00* 1108808
1:1 350 350 0.4 1.25 4.38 ** 693005
1:2 233 466 0.4 1.25 2.91 299.34 922687
1:3 175 525 0.4 1.25 2.19 135.31 1039508
1:4 140 560 0.4 1.25 1.75 100.12* 1108808
* Stiff mix ** Segregation
125
TABLE E.6 W/C Ratio 0.50 and Manufactured Sand Zone II
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.5 0.00 0.00 263.57 693005
1:2 233 466 0.5 0.00 0.00 221.27 922687
1:3 175 525 0.5 0.00 0.00 136.38 1039508
1:4 140 560 0.5 0.00 0.00 100.00* 1108808
1:1 350 350 0.5 0.19 0.66 315.97 693005
1:2 233 466 0.5 0.19 0.44 260.51 922687
1:3 175 525 0.5 0.19 0.33 147.04 1039508
1:4 140 560 0.5 0.19 0.26 100.00* 1108808
1:1 350 350 0.5 0.38 1.31 342.50 693005
1:2 233 466 0.5 0.38 0.87 303.09 922687
1:3 175 525 0.5 0.38 0.66 185.65 1039508
1:4 140 560 0.5 0.38 0.53 100.00* 1108808
1:1 350 350 0.5 0.56 1.97 ** 693005
1:2 233 466 0.5 0.56 1.31 314.16 922687
1:3 175 525 0.5 0.56 0.98 220.46 1039508
1:4 140 560 0.5 0.56 0.79 100.05* 1108808
1:1 350 350 0.5 0.75 2.63 ** 693005
1:2 233 466 0.5 0.75 1.75 323.03 922687
1:3 175 525 0.5 0.75 1.31 227.91 1039508
1:4 140 560 0.5 0.75 1.05 104.68 1108808
1:1 350 350 0.5 0.94 3.28 ** 693005
1:2 233 466 0.5 0.94 2.18 ** 922687
1:3 175 525 0.5 0.94 1.64 222.73 1039508
1:4 140 560 0.5 0.94 1.31 108.50 1108808
* Stiff mix ** Segregation
126
TABLE E.7 W/C Ratio 0.30 and Manufactured Sand Zone III
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.3 0.00 0.00 102.37* 849479
1:2 233 466 0.3 0.00 0.00 100.00* 1131021
1:3 175 525 0.3 0.00 0.00 100.00* 1274219
1:4 140 560 0.3 0.00 0.00 100.00* 1359167
1:1 350 350 0.3 0.31 1.09 131.67 849479
1:2 233 466 0.3 0.31 0.73 100.12* 1131021
1:3 175 525 0.3 0.31 0.55 100.00* 1274219
1:4 140 560 0.3 0.31 0.44 100.00* 1359167
1:1 350 350 0.3 0.63 2.19 163.42 849479
1:2 233 466 0.3 0.63 1.46 103.62* 1131021
1:3 175 525 0.3 0.63 1.09 100.00* 1274219
1:4 140 560 0.3 0.63 0.88 100.00* 1359167
1:1 350 350 0.3 0.94 3.28 320.57 849479
1:2 233 466 0.3 0.94 2.18 110.69 1131021
1:3 175 525 0.3 0.94 1.64 100.00* 1274219
1:4 140 560 0.3 0.94 1.31 100.00* 1359167
1:1 350 350 0.3 1.25 4.28 328.75 849479
1:2 233 466 0.3 1.25 2.91 158.68 1131021
1:3 175 525 0.3 1.25 2.19 100.00* 1274219
1:4 140 560 0.3 1.25 1.75 100.00* 1359167
1:1 350 350 0.3 1.50 5.25 338.00 849479
1:2 233 466 0.3 1.50 3.50 112.17 1131021
1:3 175 525 0.3 1.50 2.63 100.02* 1274219
1:4 140 560 0.3 1.50 2.10 100.08* 1359167
* Stiff mix ** Segregation
127
TABLE E.8 W/C Ratio 0.40 and Manufactured Sand Zone III
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.4 0.00 0.00 201.15 849479
1:2 233 466 0.4 0.00 0.00 131.87 1131021
1:3 175 525 0.4 0.00 0.00 100.00* 1274219
1:4 140 560 0.4 0.00 0.00 100.00* 1359167
1:1 350 350 0.4 0.25 0.88 252.64 849479
1:2 233 466 0.4 0.25 0.58 189.10 1131021
1:3 175 525 0.4 0.25 0.44 100.00* 1274219
1:4 140 560 0.4 0.25 0.35 100.00* 1359167
1:1 350 350 0.4 0.50 1.75 312.40 849479
1:2 233 466 0.4 0.50 1.17 205.67 1131021
1:3 175 525 0.4 0.50 0.88 100.18* 1274219
1:4 140 560 0.4 0.50 0.70 100.00 1359167
1:1 350 350 0.4 0.75 2.63 356.75 849479
1:2 233 466 0.4 0.75 1.75 233.03 1131021
1:3 175 525 0.4 0.75 1.31 110.58 1274219
1:4 140 560 0.4 0.75 1.05 100.00* 1359167
1:1 350 350 0.4 1.00 3.50 ** 849479
1:2 233 466 0.4 1.00 2.33 278.81 1131021
1:3 175 525 0.4 1.00 1.75 113.80 1274219
1:4 140 560 0.4 1.00 1.40 100.00* 1359167
1:1 350 350 0.4 1.25 4.38 ** 849479
1:2 233 466 0.4 1.25 2.91 274.93 1131021
1:3 175 525 0.4 1.25 2.19 113.21 1274219
1:4 140 560 0.4 1.25 1.75 100.05* 1359167
* Stiff mix ** Segregation
128
TABLE E.9 W/C Ratio 0.50 and Manufactured Sand Zone III
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.5 0.00 0.00 278.61 849479
1:2 233 466 0.5 0.00 0.00 204.21 1131021
1:3 175 525 0.5 0.00 0.00 102.51* 1274219
1:4 140 560 0.5 0.00 0.00 100.00* 1359167
1:1 350 350 0.5 0.19 0.66 315.41 849479
1:2 233 466 0.5 0.19 0.44 234.85 1131021
1:3 175 525 0.5 0.19 0.33 126.24 1274219
1:4 140 560 0.5 0.19 0.26 100.00* 1359167
1:1 350 350 0.5 0.38 1.31 336.50 849479
1:2 233 466 0.5 0.38 0.87 270.77 1131021
1:3 175 525 0.5 0.38 0.66 143.34 1274219
1:4 140 560 0.5 0.38 0.53 100.00* 1359167
1:1 350 350 0.5 0.56 1.97 ** 849479
1:2 233 466 0.5 0.56 1.31 296.59 1131021
1:3 175 525 0.5 0.56 0.98 171.52 1274219
1:4 140 560 0.5 0.56 0.79 100.00* 1359167
1:1 350 350 0.5 0.75 2.63 ** 849479
1:2 233 466 0.5 0.75 1.75 300.49 1131021
1:3 175 525 0.5 0.75 1.31 183.57 1274219
1:4 140 560 0.5 0.75 1.05 100.11* 1359167
1:1 350 350 0.5 0.94 3.28 ** 849479
1:2 233 466 0.5 0.94 2.18 303.06 1131021
1:3 175 525 0.5 0.94 1.64 181.28 1274219
1:4 140 560 0.5 0.94 1.31 102.29* 1359167
* Stiff mix ** Segregation
129
TABLE E.10 W/C Ratio 0.30 and Manufactured Sand Zone IV
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.3 0.00 0.00 100.03* 985207
1:2 233 466 0.3 0.00 0.00 100.00* 1311733
1:3 175 525 0.3 0.00 0.00 100.00* 1477811
1:4 140 560 0.3 0.00 0.00 100.00* 1576332
1:1 350 350 0.3 0.31 1.09 120.73 985207
1:2 233 466 0.3 0.31 0.73 100.00* 1311733
1:3 175 525 0.3 0.31 0.55 100.00* 1477811
1:4 140 560 0.3 0.31 0.44 100.00* 1576332
1:1 350 350 0.3 0.63 2.19 151.82 985207
1:2 233 466 0.3 0.63 1.46 100.00* 1311733
1:3 175 525 0.3 0.63 1.09 100.00* 1477811
1:4 140 560 0.3 0.63 0.88 100.00* 1576332
1:1 350 350 0.3 0.94 3.28 201.40 985207
1:2 233 466 0.3 0.94 2.18 100.00* 1311733
1:3 175 525 0.3 0.94 1.64 100.00* 1477811
1:4 140 560 0.3 0.94 1.31 100.00* 1576332
1:1 350 350 0.3 1.25 4.28 320.70 985207
1:2 233 466 0.3 1.25 2.91 100.06* 1311733
1:3 175 525 0.3 1.25 2.19 100.00* 1477811
1:4 140 560 0.3 1.25 1.75 100.00* 1576332
1:1 350 350 0.3 1.50 5.25 321.62 985207
1:2 233 466 0.3 1.50 3.50 103.90 1311733
1:3 175 525 0.3 1.50 2.63 100.18* 1477811
1:4 140 560 0.3 1.50 2.10 100.20* 1576332
* Stiff mix ** Segregation
130
TABLE E.11 W/C Ratio 0.40 and Manufactured Sand Zone IV
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.4 0.00 0.00 187.71 985207
1:2 233 466 0.4 0.00 0.00 109.65 1311733
1:3 175 525 0.4 0.00 0.00 100.00* 1477811
1:4 140 560 0.4 0.00 0.00 100.00* 1576332
1:1 350 350 0.4 0.25 0.88 232.54 985207
1:2 233 466 0.4 0.25 0.58 124.37 1311733
1:3 175 525 0.4 0.25 0.44 100.00* 1477811
1:4 140 560 0.4 0.25 0.35 100.00* 1576332
1:1 350 350 0.4 0.50 1.75 281.58 985207
1:2 233 466 0.4 0.50 1.17 168.79 1311733
1:3 175 525 0.4 0.50 0.88 100.00* 1477811
1:4 140 560 0.4 0.50 0.70 100.00* 1576332
1:1 350 350 0.4 0.75 2.63 280.35 985207
1:2 233 466 0.4 0.75 1.75 196.00 1311733
1:3 175 525 0.4 0.75 1.31 100.00* 1477811
1:4 140 560 0.4 0.75 1.05 100.00* 1576332
1:1 350 350 0.4 1.00 3.50 342.25 985207
1:2 233 466 0.4 1.00 2.33 216.57 1311733
1:3 175 525 0.4 1.00 1.75 100.10* 1477811
1:4 140 560 0.4 1.00 1.40 100.00* 1576332
1:1 350 350 0.4 1.25 4.38 ** 985207
1:2 233 466 0.4 1.25 2.91 245.08 1311733
1:3 175 525 0.4 1.25 2.19 104.21 1477811
1:4 140 560 0.4 1.25 1.75 100.02* 1576332
* Stiff mix ** Segregation
131
TABLE E.12 W/C Ratio 0.50 and Manufactured Sand Zone IV
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
Ratio
SP
(%)
Weight
of SP
(gm)
Average
Flow Dia.
(mm)
Surface area
(mm2)
1:1 350 350 0.5 0.00 0.00 276.11 985207
1:2 233 466 0.5 0.00 0.00 174.22 1311733
1:3 175 525 0.5 0.00 0.00 104.36 1477811
1:4 140 560 0.5 0.00 0.00 100.00* 1576332
1:1 350 350 0.5 0.19 0.66 302.47 985207
1:2 233 466 0.5 0.19 0.44 202.97 1311733
1:3 175 525 0.5 0.19 0.33 111.96 1477811
1:4 140 560 0.5 0.19 0.26 100.00* 1576332
1:1 350 350 0.5 0.38 1.31 334.75 985207
1:2 233 466 0.5 0.38 0.87 215.91 1311733
1:3 175 525 0.5 0.38 0.66 129.72 1477811
1:4 140 560 0.5 0.38 0.53 100.00* 1576332
1:1 350 350 0.5 0.56 1.97 357.50 985207
1:2 233 466 0.5 0.56 1.31 263.09 1311733
1:3 175 525 0.5 0.56 0.98 151.84 1477811
1:4 140 560 0.5 0.56 0.79 100.00* 1576332
1:1 350 350 0.5 0.75 2.63 ** 985207
1:2 233 466 0.5 0.75 1.75 296.99 1311733
1:3 175 525 0.5 0.75 1.31 158.30 1477811
1:4 140 560 0.5 0.75 1.05 100.00* 1576332
1:1 350 350 0.5 0.94 3.28 ** 985207
1:2 233 466 0.5 0.94 2.18 298.63 1311733
1:3 175 525 0.5 0.94 1.64 136.58 1477811
1:4 140 560 0.5 0.94 1.31 100.17* 1576332
* Stiff mix ** Segregation
132
Appendix F : Validation of Developed Models
Location = Chota Udepur-Orasang River
Assumed data
Water cement ratio = 0.30
Cement fine aggregate proportion = 1:2
Average flow diameter (targeted) = 200mm
TABLE F.1 Sieve Analysis of Sample 1 (Chota Udepur)
IS sieve
designation
Weight retained
(gm)
Cumulative
weight retained
(gm)
Percentage
weight retained
Cumulative
percentage
passing
10 mm 0 0 0 100
4.75 mm 68 68 6.80 93.20
2.36 mm 112 180 18.00 82.00
1.18 mm 284 464 46.40 53.60
0.60 mm 278 742 74.20 25.80
0.30mm 228 970 97.00 3.00
0.15mm 26 996 99.60 0.40
Pan 04 1000
Fineness Modulus = 3.42 Zone of Sand =I
Particle
size (mm)
Weight
retained
(gm)
Approximate
weight of one
particle (gm)
Number of
particles
Average
surface area of
one particle
(mm2)
Surface area
(mm2)
4.75-2.36 112 0.061914 1809 18.91 34207
2.36-1.18 284 0.009933 28592 8.40 240169
1.18-0.60 278 0.001239 224374 1.57 352268
0.60-0.30 228 0.000215 1060465 0.39 413581
0.30-0.15 26 0.000024 1083333 0.12 130000
Total weight
= 928 Total Area = 1170226
Area of fine aggregate per gram = 1261 mm2
Experimental data
Cement fine aggregate proportion = 1:2
Weight of cement = 233 gm
133
Weight of fine aggregates = 466 gm
Total surface area of fine aggregates = 587635 mm2
The general expression to predict the superplasticizer dosage is given below
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Zone A B C D
Zone I -0.641 -4.088 2.98E-06 3.73E-03
Zone II -0.433 -4.455 2.28E-06 3.80E-03
Zone III -0.370 -4.216 1.76E-06 3.89E-03
Zone IV -0.749 -4.871 1.82E-06 5.64E-03
Sieve analysis test results confirmed the zone I for the fine aggregate sample.
Prediction of dosage of superplasticizer (SP) for the desired workability of cement
mortar
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Where A = -0.641
B = -4.088
C = 2.98E-06
D = 3.73E-03
𝑆𝑝 (%) = −0.641 + �−4.088 ∗𝑤𝑐� + (2.98𝐸 − 06 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒)
+ (3.73𝐸 − 03 ∗ 𝐴𝐹𝐷)
𝑆𝑝 (%) = −0.641 + (−4.088 ∗ 0.3) + (2.98𝐸 − 06 ∗ 587635) + (3.73𝐸 − 03 ∗ 200)
𝑆𝑝 (%) = 0.63
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
ratio SP (%)
Weight
of SP
(gm)
AFD
(mm)
Targeted
AFD
(mm)
Variation
(%)
1:2 233 466 0.30 0.63 1.47 205.04 200 2.46
Chota Udepur-Orasang River sample gives 2.46 % variation in predicated and actual
workability of cement mortar.
134
Location = Panchmahal-Goma River
Assumed data
Water cement ratio = 0.40
Cement fine aggregate proportion = 1:3
Average flow diameter (targeted) = 150mm
TABLE F.2 Sieve Analysis of Sample 2 (Panchmahal)
IS sieve
designation
Weight retained
(gm)
Cumulative
weight retained
(gm)
Percentage
weight retained
Cumulative
percentage
passing
10 mm 0 0 0 100
4.75 mm 20 20 2.00 98.00
2.36 mm 50 70 7.00 93.00
1.18 mm 190 260 26.00 74.00
0.60 mm 244 504 50.40 49.60
0.30mm 392 896 89.60 10.40
0.15mm 74 970 97.00 3.00
Pan 30 1000
Fineness
Modulus = 2.72
Zone of Sand
=II
Particle
size (mm)
Weight
retained
(gm)
Approximate
weight of one
particle (gm)
Number of
particles
Average
surface area of
one particle
(mm2)
Surface area
(mm2)
4.75-2.36 50 18.91 0.061914 808 15271
2.36-1.18 190 8.4 0.009933 19128 160677
1.18-0.60 244 1.57 0.001239 196933 309185
0.60-0.30 392 0.39 0.000215 1823256 711070
0.30-0.15 74 0.12 0.000024 3083333 370000
Total
weight = 950 Total Area = 1566202
Area of fine aggregate per gram = 1649 mm2
135
Experimental data
Cement fine aggregate proportion = 1:3
Weight of cement = 175 gm
Weight of fine aggregates = 525 gm
Total surface area of fine aggregates = 865533 mm2
The general expression to predict the superplasticizer dosage is given below
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Zone A B C D
Zone I -0.641 -4.088 2.98E-06 3.73E-03
Zone II -0.433 -4.455 2.28E-06 3.80E-03
Zone III -0.370 -4.216 1.76E-06 3.89E-03
Zone IV -0.749 -4.871 1.82E-06 5.64E-03
Sieve analysis test results confirmed the zone II for the fine aggregate sample.
Prediction of dosage of superplasticizer (SP) for the desired workability of cement
mortar
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Where A = -0.433
B = -4.455
C = 2.28E-06
D = 3.80E-03
𝑆𝑝 (%) = −0.433 + �−4.455 ∗𝑤𝑐� + (2.28𝐸 − 06 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒)
+ (3.80𝐸 − 03 ∗ 𝐴𝐹𝐷)
𝑆𝑝 (%) = −0.433 + (−4.455 ∗ 0.4) + (2.28𝐸 − 06 ∗ 865533) + (3.80𝐸 − 03 ∗ 150)
𝑆𝑝 (%) = 0.58
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
ratio SP (%)
Weight
of SP
(gm)
AFD
(mm)
Targeted
AFD
(mm)
Variation
(%)
1:3 175 525 0.40 0.58 0.575 134.31 150 10.46
Panchmahal-Goma River sample gives 10.46 % variation in predicated and actual
workability of cement mortar.
136
Location = Rajkot-Aji River
Assumed data
Water cement ratio = 0.50
Cement fine aggregate proportion = 1:1
Average flow diameter (targeted) = 350mm
TABLE F.3 Sieve Analysis of Sample 3 (Rajkot-Aji River)
IS sieve
designation
Weight retained
(gm)
Cumulative
weight retained
(gm)
Percentage
weight retained
Cumulative
percentage
passing
10 mm 0 0 0 100
4.75 mm 49 49 4.90 95.10
2.36 mm 62 111 11.10 88.90
1.18 mm 132 243 24.30 75.70
0.60 mm 173 416 41.60 58.40
0.30mm 462 878 87.80 12.20
0.15mm 108 986 98.60 1.40
Pan 14 1000
Fineness
Modulus = 2.68
Zone of Sand
=II
Particle
size (mm)
Weight
retained
(gm)
Approximate
weight of one
particle (gm)
Number of
particles
Average
surface area of
one particle
(mm2)
Surface area
(mm2)
4.75-2.36 62 18.91 0.061914 1001 18936
2.36-1.18 132 8.4 0.009933 13289 111628
1.18-0.60 173 1.57 0.001239 139629 219217
0.60-0.30 462 0.39 0.000215 2148837 838047
0.30-0.15 108 0.12 0.000024 4500000 540000
Total
weight = 937 Total Area = 1727828
Area of fine aggregate per gram = 1844 mm2
137
Experimental data
Cement fine aggregate proportion = 1:1
Weight of cement = 350 gm
Weight of fine aggregates = 350 gm
Total surface area of fine aggregates = 645400 mm2
The general expression to predict the superplasticizer dosage is given below
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Zone A B C D
Zone I -0.641 -4.088 2.98E-06 3.73E-03
Zone II -0.433 -4.455 2.28E-06 3.80E-03
Zone III -0.370 -4.216 1.76E-06 3.89E-03
Zone IV -0.749 -4.871 1.82E-06 5.64E-03
Sieve analysis test results confirmed the zone II for the fine aggregate sample.
Prediction of dosage of superplasticizer (SP) for the desired workability of cement
mortar
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Where A = -0.433
B = -4.455
C = 2.28E-06
D = 3.80E-03
𝑆𝑝 (%) = −0.433 + �−4.455 ∗𝑤𝑐� + (2.28𝐸 − 06 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒)
+ (3.80𝐸 − 03 ∗ 𝐴𝐹𝐷)
𝑆𝑝 (%) = −0.433 + (−4.455 ∗ 0.5) + (2.28𝐸 − 06 ∗ 645400) + (3.80𝐸 − 03 ∗ 350)
𝑆𝑝 (%) = 0.14
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
ratio SP (%)
Weight
of SP
(gm)
AFD
(mm)
Targeted
AFD
(mm)
Variation
(%)
1:1 350 350 0.50 0.14 0.496 309.50 350 11.57
Rajkot-Aji River sample gives 11.57 % variation in predicated and actual workability
of cement mortar.
138
Location = Junagadh
Assumed data
Water cement ratio = 0.40
Cement fine aggregate proportion = 1:2
Average flow diameter (targeted) = 180mm
TABLE F.4 Sieve Analysis of Sample 4 (Junagadh)
IS sieve
designation
Weight retained
(gm)
Cumulative
weight retained
(gm)
Percentage
weight retained
Cumulative
percentage
passing
10 mm 0 0 0 100
4.75 mm 0 0 0.00 100.00
2.36 mm 65 65 6.50 93.50
1.18 mm 115 180 18.00 82.00
0.60 mm 130 310 31.00 69.00
0.30mm 530 840 84.00 16.00
0.15mm 140 980 98.00 2.00
Pan 04
Fineness
Modulus = 2.38
Zone of Sand
=III
Particle
size (mm)
Weight
retained
(gm)
Approximate
weight of one
particle (gm)
Number of
particles
Average
surface area of
one particle
(mm2)
Surface area
(mm2)
4.75-2.36 65 18.91 0.061914 1050 19853
2.36-1.18 115 8.4 0.009933 11578 97252
1.18-0.60 130 1.57 0.001239 104923 164730
0.60-0.30 530 0.39 0.000215 2465116 961395
0.30-0.15 140 0.12 0.000024 5833333 700000
Total
weight = 980 Total Area = 1943229
Area of fine aggregate per gram = 1983 mm2
139
Experimental data
Cement fine aggregate proportion = 1:2
Weight of cement = 233 gm
Weight of fine aggregates = 466 gm
Total surface area of fine aggregates = 924025 mm2
The general expression to predict the superplasticizer dosage is given below
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Zone A B C D
Zone I -0.641 -4.088 2.98E-06 3.73E-03
Zone II -0.433 -4.455 2.28E-06 3.80E-03
Zone III -0.370 -4.216 1.76E-06 3.89E-03
Zone IV -0.749 -4.871 1.82E-06 5.64E-03
Sieve analysis test results confirmed the zone III for the fine aggregate sample.
Prediction of dosage of superplasticizer (SP) for the desired workability of cement
mortar
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Where A = -0.370
B = -4.216
C = 1.76-06
D = 3.89E-03
𝑆𝑝 (%) = −0.370 + �−4.216 ∗𝑤𝑐� + (1.76𝐸 − 06 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒)
+ (3.89𝐸 − 03 ∗ 𝐴𝐹𝐷)
𝑆𝑝 (%) = −0.370 + (−4.216 ∗ 0.4) + (1.76𝐸 − 06 ∗ 924025) + (3.89𝐸 − 03 ∗ 180)
𝑆𝑝 (%) = 0.27
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
ratio SP (%)
Weight
of SP
(gm)
AFD
(mm)
Targeted
AFD
(mm)
Variation
(%)
1:2 233 466 0.40 0.27 0.62 189.71 180 5.12
Junagadh sample gives 5.12 % variation in predicated and actual workability of
cement mortar.
140
Location = Patan-Banas River
Assumed data
Water cement ratio = 0.30
Cement fine aggregate proportion = 1:2
Average flow diameter (targeted) = 125mm
TABLE F.5 Sieve Analysis of Sample 5 (Patan-Banas River)
IS sieve
designation
Weight retained
(gm)
Cumulative
weight retained
(gm)
Percentage
weight retained
Cumulative
percentage
passing
10 mm 0 0 0 100
4.75 mm 57 57 5.70 94.30
2.36 mm 66 123 12.30 87.70
1.18 mm 105 228 22.80 77.20
0.60 mm 152 380 38.00 62.00
0.30mm 440 820 82.00 18.00
0.15mm 138 958 95.80 4.20
Pan 42 1000
Fineness
Modulus = 2.57
Zone of Sand
=III
Particle
size (mm)
Weight
retained
(gm)
Approximate
weight of one
particle (gm)
Number of
particles
Average
surface area of
one particle
(mm2)
Surface area
(mm2)
4.75-2.36 66 18.91 0.061914 1066 20158
2.36-1.18 105 8.4 0.009933 10571 88795
1.18-0.60 152 1.57 0.001239 122680 192607
0.60-0.30 440 0.39 0.000215 2046512 798140
0.30-0.15 138 0.12 0.000024 5750000 690000
Total
weight = 901 Total Area = 1789699
Area of fine aggregate per gram = 1986 mm2
141
Experimental data
Cement fine aggregate proportion = 1:2
Weight of cement = 233 gm
Weight of fine aggregates = 466 gm
Total surface area of fine aggregates = 925638 mm2
The general expression to predict the superplasticizer dosage is given below
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Zone A B C D
Zone I -0.641 -4.088 2.98E-06 3.73E-03
Zone II -0.433 -4.455 2.28E-06 3.80E-03
Zone III -0.370 -4.216 1.76E-06 3.89E-03
Zone IV -0.749 -4.871 1.82E-06 5.64E-03
Sieve analysis test results confirmed the zone III for the fine aggregate sample.
Prediction of dosage of superplasticizer (SP) for the desired workability of cement
mortar
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Where A = -0.370
B = -4.216
C = 1.76-06
D = 3.89E-03
𝑆𝑝 (%) = −0.370 + �−4.216 ∗𝑤𝑐� + (1.76𝐸 − 06 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒)
+ (3.89𝐸 − 03 ∗ 𝐴𝐹𝐷)
𝑆𝑝 (%) = −0.370 + (−4.216 ∗ 0.3) + (1.76𝐸 − 06 ∗ 925638) + (3.89𝐸 − 03 ∗ 125)
𝑆𝑝 (%) = 0.48
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/C
ratio SP (%)
Weight
of SP
(gm)
AFD
(mm)
Targeted
AFD
(mm)
Variation
(%)
1:2 233 466 0.30 0.48 1.11 113.88 125 8.90
Patan-Banas River sample gives 8.90 % variation in predicated and actual
workability of cement mortar.
142
Location = Kutch
Assumed data
Water cement ratio = 0.50
Cement fine aggregate proportion = 1:2
Average flow diameter (targeted) = 300mm
TABLE F.6 Sieve Analysis of Sample 6 (Kutch)
IS sieve
designation
Weight retained
(gm)
Cumulative
weight retained
(gm)
Percentage
weight retained
Cumulative
percentage
passing
10 mm 0 0 0 100
4.75 mm 10 10 1.00 99.00
2.36 mm 59 69 6.90 93.10
1.18 mm 120 189 18.90 81.10
0.60 mm 136 325 32.50 67.50
0.30mm 501 826 82.60 17.40
0.15mm 140 966 96.60 3.40
Pan 34 1000
Fineness
Modulus = 2.39
Zone of Sand
=III
Particle
size (mm)
Weight
retained
(gm)
Approximate
weight of one
particle (gm)
Number of
particles
Average
surface area of
one particle
(mm2)
Surface area
(mm2)
4.75-2.36 59 18.91 0.061914 953 18020
2.36-1.18 120 8.4 0.009933 12081 101480
1.18-0.60 136 1.57 0.001239 109766 172333
0.60-0.30 501 0.39 0.000215 2330233 908791
0.30-0.15 140 0.12 0.000024 5833333 700000
Total
weight = 956 Total Area = 1900623
Area of fine aggregate per gram = 1988 mm2
143
Experimental data
Cement fine aggregate proportion = 1:2
Weight of cement = 233 gm
Weight of fine aggregates = 466 gm
Total surface area of fine aggregates = 926454 mm2
The general expression to predict the superplasticizer dosage is given below
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Zone A B C D
Zone I -0.641 -4.088 2.98E-06 3.73E-03
Zone II -0.433 -4.455 2.28E-06 3.80E-03
Zone III -0.370 -4.216 1.76E-06 3.89E-03
Zone IV -0.749 -4.871 1.82E-06 5.64E-03
Sieve analysis test results confirmed the zone III for the fine aggregate sample.
Prediction of dosage of superplasticizer (SP) for the desired workability of cement
mortar
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Where A = -0.370
B = -4.216
C = 1.76-06
D = 3.89E-03
𝑆𝑝 (%) = −0.370 + �−4.216 ∗𝑤𝑐� + (1.76𝐸 − 06 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒)
+ (3.89𝐸 − 03 ∗ 𝐴𝐹𝐷)
𝑆𝑝 (%) = −0.370 + (−4.216 ∗ 0.5) + (1.76𝐸 − 06 ∗ 926454) + (3.89𝐸 − 03 ∗ 300)
𝑆𝑝 (%) = 0.32
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/c
Ratio SP (%)
Weight
of SP
(gm)
AFD
(mm)
Assumed
AFD
(mm)
Variation
(%)
1:2 233 466 0.50 0.32 0.736 272.01 300 9.33
Kutch sample gives 9.33 % variation in predicated and actual workability of cement
mortar.
144
Location = Ahmedabad-Sabarmati River
Assumed data
Water cement ratio = 0.30
Cement fine aggregate proportion = 1:1
Average flow diameter (targeted) = 250mm
TABLE F.7 Sieve Analysis of Sample 7 (Ahmedabad-Sabarmati River)
IS sieve
designation
Weight retained
(gm)
Cumulative
weight retained
(gm)
Percentage
weight retained
Cumulative
percentage
passing
10 mm 8 8 0.80 99.20
4.75 mm 27 35 3.50 96.50
2.36 mm 57 92 9.20 90.80
1.18 mm 89 181 18.10 81.90
0.60 mm 698 879 87.90 12.10
0.30mm 111 990 99.00 1.00
0.15mm 10 1000
Pan 1000
Fineness
Modulus = 2.19
Zone of Sand
=IV
Particle
size (mm)
Weight
retained
(gm)
Approximate
weight of one
particle (gm)
Number of
particles
Average
surface area of
one particle
(mm2)
Surface area
(mm2)
4.75-2.36 27 18.91 0.061914 436 8246
2.36-1.18 57 8.4 0.009933 5738 48203
1.18-0.60 89 1.57 0.001239 71832 112776
0.60-0.30 698 0.39 0.000215 3246512 1266140
0.30-0.15 111 0.12 0.000024 4625000 555000
Total
weight = 982 Total Area = 1990365
Area of fine aggregate per gram = 2027 mm2
145
Experimental data
Cement fine aggregate proportion = 1:1
Weight of cement = 350 gm
Weight of fine aggregates = 350 gm
Total surface area of fine aggregates = 709397 mm2
The general expression to predict the superplasticizer dosage is given below
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Zone A B C D
Zone I -0.641 -4.088 2.98E-06 3.73E-03
Zone II -0.433 -4.455 2.28E-06 3.80E-03
Zone III -0.370 -4.216 1.76E-06 3.89E-03
Zone IV -0.749 -4.871 1.82E-06 5.64E-03
Sieve analysis test results confirmed the zone IV for the fine aggregate sample.
Prediction of dosage of superplasticizer (SP) for the desired workability of cement
mortar
𝑆𝑝 (%) = 𝐴 + (𝐵 ∗ 𝑤/𝑐) + (𝐶 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒) + (𝐷 ∗ 𝐴𝐹𝐷)
Where A = -0.749
B = -4.871
C = 1.82E-06
D = 5.64E-03
𝑆𝑝 (%) = −0.749 + �−4.871 ∗𝑤𝑐� + (1.82𝐸 − 06 ∗ 𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒)
+ (5.64𝐸 − 03 ∗ 𝐴𝐹𝐷)
𝑆𝑝 (%) = −0.749 + (−4.871 ∗ 0.3) + (2.98𝐸 − 06 ∗ 709397) + (3.73𝐸 − 03 ∗ 250)
𝑆𝑝 (%) = 0.49
C : FA
Weight
of
cement
(gm)
Weight
of sand
(gm)
W/c
Ratio SP (%)
Weight
of SP
(gm)
AFD
(mm)
Assumed
AFD
(mm)
Variation
(%)
1:1 350 350 0.30 0.49 1.71 233.68 250 6.53
Ahmedabad-Sabarmati River sample gives 6.53 % variation in predicated and actual
workability of cement mortar.
146
Given Data:
Workability : Average flow diameter (spread),
Water cement ratio, Superplasticizer: Type and
brand, Proportion of cement and fine aggregate,
Cement: Ordinary Portland Cement
Compatibility Study of
Cement Superplasticizer
Change cement or
superplasticizer
Rejected
Accepted
Sieve analysis of fine aggregate
sample
Proposed Methodology Flow Chart for Prediction of Superplasticizer Dosage for Desired
Workability
Determination of surface area of fine
aggregate
Select approach
Sample preparation and
Image acquisition
Approach-1
Use surface area and
weight relationship for
various fractions
suggested by authors
Image analysis to
determine surface area
of particles
Calculation of average
surface area of particle
Approach-2
Calculation of number of
particles contented in
given weight
Calculation of average
weight of particle
Determine surface area of fine
aggregate based on sieve analysis
and surface area and weight
relationship
Derive relationship
between surface area
and weight for each
fractions
Behavior study of cement mortar at
maximum dosage of superplasticizer
Is mix workable?Stiff Mix or Segregation
No
Select the equation according to
zone of fine aggregate
Change water
content, SP or
adjust gradation
Use Lower Dosage of SP
(till segregation is stopped)
Stiff
mix
Segregation Yes
Predict the dosage of
superplasticizer (SP) for desired
workability of cement mortar
Methodology to Determination of Surface
Area of Given Sample by Approach1
Step 1. Select thirty particles randomly from
each fractions
Step 2. Determine surface area of thirty
particles by DIA
Step 3. Calculate average surface area of each
particle
Step 4. Determine weight of n number of
particles from sample
Step 5. Calculate average weight of each
particle
To get average surface area of given sand
sample, following steps are to be followed
Step 1. Carry out sieve analysis to divide in
requisite fractions
Step 2. Weight of given fraction is determined
Step 3. Determine the number of particles in
given fraction as the average weight of one
particle of that fraction is known
Step 4. Determine total surface area of given
fraction by multiplying average surface area of
one particle of that fraction and number of
particles
Step 5. Sum the average surface areas of all the
fractions
Appendix G Flow Chart of Proposed Methodology
147