Calculation-Specimen-marshall-G7 Update 1 Diff at m Ngan n

BFC 31802 (HIGHWAY ENGINEERING)-MARSHALL DESIGN

1.0 EXAMPLE CALCULATION FOR EACH MARSHAL PROPERTIES

SPECIMEN 1

( for 4.5% Bitumen content)

1. Bulk Volume , f

Bulk Volume = Weight in saturated surface dry – Weight in water

f = 1145.4 – 6643.4 = 502

2. S.G Bulk , g

S.G Bulk = Weight∈airB ulk voume

g = 1138.7502 = 2.268

3. S.G Max Theoretical , h

S.G Max Theoretical = 1

(1−% Bitumencont .)S .G Agg blend

+(% Bitumencont .)

S .G Bitumen

h = 1

(1−0.045)2.542

+ 0.0451.01

= 2.380

4. Volume % Total Bitumen, i

%Total Bitumen = (% Bitumencontent X SG. Bulk )S .G Bitumen

i = (4.5 X 2.268)1.01 = 10.105

5. Volume % Total Aggregate , j

% Total Aggregate = (100−% Bitumencontent ) X S . G BulkS .G Aggregate blend

J = (100−4.5 ) X 2.268

2.542= 85.206

1

VFA = 100x Vol. ume %Total Bitumen

Void % Aggregate


6. Volume % Total Void, k

VTM = (100 – Volume % Total Bitumen – Volume % Total Aggregate )

VTM = 100 – 10.105 – 85.206¿4.689

7. Void % Aggregate, l (VMA)

VMA = 100 – Volume % Total Aggregate

VMA = 100 – 85.206

= 14.794

8. Void % Filled Bitumen, m ( VFA)

m =100× 10.105

14.794

= 68.305

9. Void % Total Mix, n (VTM)

VTM =( 1- SG Bulk

SG max Theo¿× 100

N =( 1- 2.2682.380

¿×100

= 4.705

2


10. Correction Factor, o

Based our range value for specimen1of Bulk Volume is in range ( 496 – 508) ∴ Thus, we get o = 1.04

11. Corrected Stability, q

Stability corrected = stability mass x correction factor

q= 2002 X 1.04 = 2082.08

12. Stiffness, s

Stiffness = corrected stability

flow

S = 2082.083.36

= 619.667

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EXAMPLE CALCULATON

SPECIMEN 2


1. Bulk Volume , f


f = 1130.7– 644.2 = 486.5

2. S.G Bulk , g

S.G Bulk = Weight∈airBulk voume

g = 1128.6486.5 = 2.32




+(% Bitumencont .)

S .G Bitumen

h = 1

(1−0.05)2.542

+ 0.051.01

= 2.363


%Total Bitumen = (% Bitumencontent X SG. Bulk )

S .G Bitumen

i = (5.0 X 2.32)1.01 = 11.485

5 .Volume % Total Aggregate , j

4


Void % Aggregate



J = (100−5.0 ) X 2.32

2.542= 86.703



VTM = 100 – 11.485 – 86.703¿1.812



VMA = 100 – 86.703

= 13.297


m =100× 11.485

13.297

= 86.373


5


VTM =( 1- SG Bulk

SG max Theo¿× 100

N =( 1- 2.32

2.363¿×100

= 1.820


Based our range value for specimen1of Bulk Volume is in range ( 496 - 508) ∴ Thus, we get o = 1.04



q= 1648 X 1.09 = 1796.320

12. Stiffness, s


flow

S = 1796.3206.14

= 292.560

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EXAMPLE CALCULATON

SPECIMEN 3


1. Bulk Volume , f


f =1179.3 – 657.2 = 522.1

2. S.G Bulk , g

S.G Bulk = Weight∈airBulk volume

g = 1174.4522.1 = 2.249




+(% Bitumencont .)

S .G Bitumen

h = 1

(1−0.055)2.542

+ 0.0551.01

= 2.346


7


Void % Aggregate



i =(5.5 X 2.249)1.01 = 12.247

5 Volume% Total Aggregate , j

% Total Aggregate =(100−% Bitumencontent ) X S . G Bulk

S .G Aggregate blend

J = (100−5.5 ) X 2.249

2.542 = 83.608

6. Volume % Total Void, k (VTM)

VTM = (100 –Volume % Total Bitumen – Volume % Total Aggregate )

VTM=( 100 – 12.247 – 83.608 ) = 4.145



VMA = 100 – 83.608 = 16.392


m =100× 12.247

16.392

8


= 74.713


VTM =( 1- SG Bulk

SG max Theo¿× 100

N =( 1- 2.2492.346

¿×100

= 4.135


According to our range value of Bulk Volume, ( 518 – 527 )

∴ Thus, we get o = 1.00.



q = 2087 X 1.00 = 2087

12. Stiffness, s


flow

9


S = 20874.33

= 481.986

EXAMPLE CALCULATON

SPECIMEN 4


1. Bulk Volume , f


f = 1167.3 – 643.8 = 523.5

2. S.G Bulk , g

S.G Bulk = Weight∈airBulk volume

g = 1175.4523.5 = 2.245


10




+(% Bitumencont .)

S .G Bitumen

h = 1

(1−0.06)2.542

+ 0.061.01

= 2.330


%Total Bitumen = (% Bitumencontent X SG. Bulk )

S .G Bitumen

i = (6 X 2.245)1.01 = 13.34


% Total Aggregate = (100−% Bitumencontent ) X S . G Bulk

S .G Aggregate blend

J = (100−6 ) X 2.245

2.542 = 83.017



VTM = 100 – 13.34 – 83.017 = 3.643



VMA = 100 – 83.017 = 16.983

11


Void % Aggregate



m =100× 13.340

16.983

= 78.549


VTM =( 1- SG Bulk

SG max Theo¿× 100

N =( 1- 2.2452.330

¿×100

= 3.648


According to our range value of Bulk Volume, ( 509 – 522)

∴ Thus, we get o = 1.00.



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q = 1149 X 1.00 = 1149

12. Stiffness, s


flow

S = 11494.41

= 260.54

EXAMPLE CALCULATON

SPECIMEN 5


1. Bulk Volume , f


f = 1184 – 650.8 = 533.2

2. S.G Bulk , g

13


S.G Bulk = Weight∈airBulk voume

g = 1180.9533.2 = 2.215




+(% Bitumencont .)

S .G Bitumen

h = 1

(1−0.065)2.542

+ 0.0651.01

= 2.314



i = (6.5 X 2.215)1.01 = 14.255



J = (100−6.5 ) X 2.215

2.542= 81.472



VTM = 100 – 14.255 – 81.472¿4.273


14


Void % Aggregate



VMA = 100 – 81.472

= 18.528


m =100× 14.255

18.528

= 76.938


VTM =( 1- SG Bulk

SG max Theo¿× 100

N =( 1- 2.2152.314

¿× 100

= 4.278


Based our range value for specimen1of Bulk Volume is in range (496 – 508) ∴ Thus, we get o = 1.04

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q= 1352 X 1.04 = 1406.08

12. Stiffness, s


flow

S = 1406.084.14

= 339.633

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Type of mix : ACW20 2.0 TABLE OF MARSHALL MIXTURE DESIGN

SG Agg. Blend : 2.542

SG. Bitumen : 1.01

Gred Bitumen (PEN ) : 80/100

Spec. No

% Bit. Cont. Weight (gram) Bulk

Vol Spec. Grav Volume % Total Voids % Corr Fact Stabillity-kg Flow

mmStiff-ness

Saturated Surface Dry In Air In

Water Bulk Max Theo Bit. Agg. Void Agg Filled

(Bit)Total Mix Meas Corrected

a b c d e f G h i j k l M n o p q r sS1 4.5 1145.4 1138.7 643.4 502.0 2.268 2.380 10.105 85.206 4.689 14.794 68.305 4.705 1.04 2002 2082.08 3.36 619.667

1078.0 1107.5 612.3 465.7 2.378 2.380 10.595 89.339 0.066 10.661 99.381 0.084 1.04 1877 1952.08 4.59 425.2901183.3 1180.5 664.4 518.9 2.275 2.380 10.136 85.469 4.395 14.531 69.754 4.412 1.04 2521 2621.84 5.98 438.435

AVG 495.5 2.297 10.279 86.671 3.05 13.329 79.147 3.067 2133.333 2218.667 4.643 494.464S2 5.0 1130.7 1128.6 644.2 486.5 2.32 2.363 11.485 86.703 1.812 13.297 86.373 1.820 1.04 1648 1796.320 6.14 292.560

1156.8 1148.0 647.6 509.2 2.25 2.363 11.139 84.087 4.774 15.913 69.999 4.782 1.04 2277 2277.000 5.56 409.5321168.7 1164.0 660.3 508.4 2.30 2.363 11.386 85.956 2.658 14.044 81.074 2.666 1.04 2434 2531.360 5.67 446.448

AVG 501.4 2.29 11.337 85.582 3.081 14.418 79.149 3.089 2114.667 2201.560 5.79 382.842S3 5.5 1179.3 1174.4 657.2 522.1 2.249 2.346 12.247 83.608 4.145 16.392 74.713 4.135 1.00 2087 2087 4.33 481.986

1206.7 1202.3 679.9 526.8 2.282 2.346 12.427 84.834 2.739 15.166 81.940 2.728 1.00 2501 2501 13.62 183.6271190.0 1186.4 671.9 518.1 2.290 2.346 12.470 85.132 2.398 14.868 83.871 2.387 1.00 2472 2472 3.38 731.361

AVG 522.3 2.274 12.381 84.525 3.094 15.475 80.175 3.083 2353.333 2353.333 7.110 465.658S4 6.0 1175.4 1167.3 643.8 523.5 2.245 2.330 13.340 83.017 3.643 16.983 78.549 3.648 1.00 1149 1149 4.41 260.540

1190.6 1187.9 676.6 511.3 2.329 2.330 13.840 86.124 0.036 13.876 99.741 0.043 1.00 1672 1672 5.58 299.6401188.4 1185.6 679.3 506.3 2.347 2.330 13.940 86.789 -0.729 13.211 105.518 -0.730 1.00 1786 1786 5.21 342.800

AVG 513.7 2.307 13.707 85.310 2.950 14.690 94.603 0.987 1535.667 1536 5.067 300.993S5 6.5 1184 1180.9 650.8 533.2 2.215 2.314 14.255 81.472 4.273 18.528 76.938 4.278 1.04 1352 1406.08 4.14 339.633

988.6 986 554.1 434.5 2.269 2.314 14.602 83.458 1.940 16.542 88.272 1.945 1.04 1731 1800.24 4.53 397.4041189.3 1185 661.2 528.1 2.244 2.314 14.442 82.539 3.019 17.461 82.710 3.025 1.04 2523 2623.92 4.52 580.513

AVG 498.6 2.243 14.433 82.490 3.077 17.510 82.640 3.083 1868.667 1943.413 4.397 439.183

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3.0 MARSHALL PROPERTIES CURVE

AVERAGE OPTIMUM BITUMEN CONTENT = 5.8 %


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4 4.5 5 5.5 6 6.5 70

500

1000

1500

2000

2500

STABILITY

% BITUMEN CONTENT

% S

TABI

LITY

2050.595

5.201

4 4.5 5 5.5 6 6.5 70

1

2

3

4

5

6

7

8

FLOW

% BITUMEN CONTENT

% F

LOW

5.201




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4 4.5 5 5.5 6 6.5 770

75

80

85

90

95

100

VFB

% BITUMEN CONTENT

% V

FB

4 4.5 5 5.5 6 6.5 72.2

2.22

2.24

2.26

2.28

2.3

2.32

DENSITY

% BITUMEN CONTENT

% D

ENSI

TY

2.282

83.143




20

4 4.5 5 5.5 6 6.5 70

0.5

1

1.5

2

2.5

3

3.5

VTM

% BITUMEN CONTENT

% V

TM

4 4.5 5 5.5 6 6.5 702468

101214161820

VMA

% BITUMEN CONTENT

% V

MA

2.662

15.084


THE OPTIMUM BITUMEN CONTENT (OBC) = 5.8+4.8+5.6+5.8+5.2

5 = 5.44 %

4.0 REFERENCES

http://www.pavementinteractive.org/article/marshall-mix-design/ http://www.civil.iitb.ac.in/~vmtom/1100_LnTse/407_lnTse/plain/ http://engr-tech.blogspot.my/2012/03/marshall-stability-and-flow-values-of.html

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http://engr-tech.blogspot.my/2012/03/marshall-stability-and-flow-values-of.html

http://www.civil.iitb.ac.in/~vmtom/1100_LnTse/407_lnTse/plain/

http://www.pavementinteractive.org/article/marshall-mix-design/


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Calculation-Specimen-marshall-G7 Update 1 Diff at m Ngan n

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