AD-763 912 STABILIZATION FOR PAVEMENTS J. L . R ice …
Transcript of AD-763 912 STABILIZATION FOR PAVEMENTS J. L . R ice …
AD-763 912
STABILIZATION FOR PAVEMENTS
J. L . R ice
Army Construction Engineering Research Laboratory Champaign, Illinois
May 1973
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TECHNICAL REPORT SI 1
STABILIZATION EOR PAVEMENTS
by
/. L Ricv
May 1973
yTTD C ^
D Department of the Army
CONSTRUCTION ENGINEERING RESEARCH LABORATORY P.O. Box 4005
Champaign, Illinois 6IH20
Approved for public release: distribution unlimited.
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ABSTRACT
Rigid and flexible pavement model tests were conducted to evaluate methods for assessing the structural benefits imparted to a pavement structure by stabilized elements. Current Corps of Engineers rigid pavement design and evaluation riKthods ate based on stress in the concrete pavement as calculated by the Westergaard algorithm. This method appears applicable for pavements containing lime and bituminous stabilized layers only. Cement stabilized layers should be evaluated by an elastic layered algoiithm. The California Bearing Ratio method of design and evaluation of flexible pavement structure appeared to yield satisfactory results for flexible pavements containing stabilized elements.
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FOREWORD
This investigation was sponsored by the U.S. Army Corps of Engineers, Office of the Chief of Engineers (ÜCE), Washington, D.C. as part of Project "Investigation for Development of Engineering Criteria," under Subproject, "Soils Stabilization and Stability"
The investigation reported herein was conducted by the U.S. Army Construction Engineering Research Laboratory (CERL), Champaign, Illinois and the Ohio River Division Laboratories (ORDL), Cincinnati, Ohio during the period FY 62 -PY 71.
CERL personnel actively engaged in the investigation were Messrs. J.L. Rice and J.J. Healy. Other personnel involved were: Messrs. P.M. Mellinger (ORDL Director, retired) and J.J Scanlon (ORDL) This report was prepared by Mr. J L. Rice.
Col. R. W. Reisacher is Director of CERL and Dr. L. R. Shaffer is Deputy Director.
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CONTENTS
ABSTRACT FOREWORD
... .V
1 INTRODUCTION 1 Hypothesis to be Evaluated
Problem
Background
Scope and Objective
Previous Attempts to Solve
Theoretical Considerations
Prognosis
2 APPROACH 3
Pavement Performance
Types of Specimens and Tests
Values of Variables and Control Constants
Measurement Methods
Method of Analysis
3 TEST PROCEDURES 4 Specimens Prepared
Instrumentation Set-Up
Construction of the Test Models
Conduct of the Tests
4 TEST RESULTS 6
5 ANALYSIS AND DISCUSSION 10
Analysis
Discussion
6 CONCLUSIONS, RECOMMENDATIONS AND CLOSURE 17 Conclusions
Recommendations
Closure
REFERENCES 1 ^^^J: -— FIGURES JTS^^^ 19
pUtribution DISTRIBUTION DD FORM 1473
FIGURES
Figure Page
1 Completed Subgiade to Placement (it Polyethylene Sheeting
2 Coating of Crack Alarm Grid Wires with Epoxy Resin
Prior to Conr .ie Placement 3 Concrete Placement Approximately One Hall Complete
4 Vibrating Pan Type Compactor used to Compact Crushed
Stone Base Course Material for Flexible Pavement Tests 5 Compaction of the Lime Soil Mixture with the Pneumatic Tamper
6 Overall View of a Completed Flexible Pavement Prior to Test Traffic
7 Linear Variable Differential Transformer Mounting Techniques
8 Typical Layout of Crack Alarm Wire Grid 9 Typical Oscillograph Trace from Traffic Testing of
Model Pavement 12 10 Typical Deflection-Coverage Plot, West Slab, Nonstabilized I I Typical Deflection-Coverage Plot, Hast Slab, Nonstabilized 12 Typical Strain-Coverage Plot, West Slab, Nonstabilized
13 Typical Strain-Coverage Plot, Fast Slab, Nonstabilized 14 Typical Deflection-Coverage Plot, West Slab, Stabilized 15 Typical Deflection-Coverage Plot, Last Slab, Stabilized 16 Typical Strain-Coverage Plot, West Slab, Stabilized 17 Typical Strain-Coverage Plot, East Slab, Stabilized 18 Design Factor versus Coverages foi Initial Slab Failure
19 Typical Summary of Load Transfer Tests Acioss lomt 20 Design Curves for Concrete Airfield Pavements, Single Wheel,
100 Sq. In. Contact Area 21 Nondimensional Plot of Single Wheel Design Curve and
Model Test Data Using Westergaard Analysis 22 Close Up View of a Failed Area on Model Test 6
23 Close Up View of a Failed Area on a Prestressed Pavement
24 Summary of Rigid Pavement Tests 23 Consolidated CBR Curves for 5000 Coverages 26 Percent Design Thickness Versus Coverages- Flexible
Pavement Failure
27 Summary of Flexible Pavement Tests
21 21
24 24 25
25
26 26 27
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30 30
31 31
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Construction Engineering Research Laboratory P.O. Box 4005 Champaign,'Illinois 61820
2» BEPORT SEtUUlTY CLASSIFfCATION unclassiTied
2b. GROUP
I IM I'OII f TITLt
STABILIZATION FOR PAVEMENTS
4. DESCRIPT IVE NOTES llxfic of rrpoil and mr/ujiic daletl
Technical Report 5 AurHOR(S) (Ftrtl name, middle mtlKil. laut namri
J. L. Rice
6. REPORT DATE
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12. SPONSORING MILITARY ACTIVITY
Department of the Army
1 J. ABSTRACT
Rigid and flexible pavement model for assessing the structural benefits stabilized elements. Current Corps of evaluation methods are based on stress by the Westergaard algorithm. This me containing lime and bituminous stabil! layers should be evaluated by an elast Bearing Ratio method of design and eva appeared to yield satisfactory results stabi1ized elements.
tests were conducted to evaluate method Imparted to a pavement structure by Engineers rigid pavement design and in the concrete pavement as calculated
thod appears applicable for pavements zed layers only. Cement stabilized ic layered algorithm. The California luation of flexible pavement structure for flexible pavements containing
14 KEY WORDS
pavement model tests elastic layered algorithm flexible pavement structur
DD FORM 1473 REPLACES DD FORM 1473, 1 JAN 64, WHICH IS 1 NOV 65 OBSOLETE FOR ARMY USE.
UNCLASSIFIED Security Cta^tification
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r STABILIZATION FOR PAVEMENTS
1 INTRODUCTION
Hypothesis to Be Evaluated. The perlornunce uf pavements containing stabilized elements has been observed to be superior to the performance of similar pavements without stabilized elements.1 ■2•, It would appiMi ilut this improved performance could be oxploiio' i. design of new pavements and in the «.•valuation of existing pavements. These improvements can resul' in large economic benefits during the life of the pavement.
Problem. The use of various stabilizers to improve soil workability and/or to enhance soil strength has been widely recognized as beneficial to pavement construc- tion and performance. Data and analysis are lacking to determine the actual structural benefits imparted to a pavement structure by the incorporation of a stabilized element in the pavement structure. A need exists to quantify the structural benefts associated with stabi- lized elements and to provide a rationale which engineers can use to exploit the structural benefits derived from stabilization. Present design and evalua- tion procedures are limited as to the inclusion of stabilized elements in the subgrade. In the case of rigid pavement, all materials beneath the pavement slab are represented by a "k" value obtained from a plate bearing test run on the material directly below the pavement slab. For flexible pavements, the California Bearing Ratio (CBR) is used to describe the strength of pavement elements. Some stabilized layers possess sufficient rigidity and strength to exhibit some flexural action and, because the CBR test is basically a penetration test, its use in assessing the strength of a flexural type element is questionable.
Background. Various forms of stabilization have been used for some 20 to 25 years to improve soil workability and/or provide a working platform for
construction operations. At times, contractors have elected to construct a stabilized layer in order to maintain construction operations during periods of inclement weather. Stabilized layers are also construct- ed to provide support for construction machinery during favorable weather since construction operations lesult in a rather high volume of traltic during paving operations.
Generally, the performance of pavements with a stabilized element is superior to the performance of identical pavements without stabilized elements. This has bee'i observed in surveys of actual in-service pavements.4 The designer is eager to exploit the improved performance associated with stabilized lay- ers: cost reductions may be realized if a stabilized layer could be used to replace either a higher cost subbase, a select base, or to reduce the quantity of paving materials. Very little quantitative information h-s been available to provide the pavement designer with a rationale to assess the structural benefits associated with stabilization.
Scope and Objective. An extensive testing program has been initiated to determine the structural benefits of stabilized layers in a pavement structure and allow the designer to exploit IhoM benefits.
Previous Attempts to Solve. Many tests have been conducted on pavements containing stabilized ele- ments. These tests were mainly static type tests in which pavement response was measured by strain and/or detlection transducers. The results of these tests were expressed in terms of equivalency between thickness of stabilization and thickness of the base course. Base course materials are known to improve the supporting capability of subgrades; data are readily available which indicate that an increase in subgrade modulus can be expected when various thicknesses of base course materials are placed over subgrades of various strengths.5 By measuring th* response of
1 E.L. Kawala, Cement Treated Suhhases for Concrete Pave- ments. Technical Bulletin 235 (American Road builders Association, 1958).
1 Ahlherj! and Baienbrrg, Pozzolanic Pavement!, bnnEineenng txperimenl Station Bulletin 473 (University of Illinois, Feb- ruary I "öS).
'M.R I !i-mpson, "Lime-Treated Soils tor Pavement Con- struUH-n." ASCE Proceedings, Highway Division Journal HW-2 (November 1968)
*E.L. Kawala, "("emenl treated Subbase Practice in U.S. and Canada," ASCE Proceedings. Highway Division Journal «If^ (October 1966).
'Soil Testing Services, Im . Thickness Design Procedure for Airfields Containing Stabilized Pavement Components, pre- pared for the federal Aviation Agency, Contract No. ARDS- 468. AD 607331.
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pavements which contain stabilized elements, a back- calculaiion can be performed to determine an equiva- lent subgrade support Knowing; the subgrade support of the indigenous materials then allows a calculation of the increase in subgrade support and a corresponding estimate of the equivalency to thickness of base course Investigators have reported from 11 to 1 2 equiva- lency between stabilized layers and base course layers.6
The equivalency varies due to differing stabilizing materials, the amount of stabilizei and strength of the indigenous material.
Theoretical Considerations. Several analytical solutions are available to calculate deflections. ttiMM and strains in pavement structures. These solutions gener ally differ in the model assumed for the subgrade. The Westergaard solution assumes the subgrade behaves ,is | Wmkler foundation while the other solutions assume H elastic subgrade representation.
Existing Corps of Hngineers criteria for rigid pave- ments are based on the Westergaard solution with the Winkler foundation. This method also considers onl\ | single plate of constant rigidity resting on a foundation composed of independent linear springs. No provision is made for intermediate layers, and these must be con- sidered either in the spring constant of the foundation or in the rigidity of the overlying plate. The Wester- gaard solution is for a static load. Since pavements are subjected to a range of loadings, from static to dy- namic, empirical adjustments have been made to estab- lish allowable flexural stresses in rigid pavements to account for the effects of realistic loadings and en- vironmentally imposed loadings.
Existing Corps of Engineers criteria for flexible pavements are based on the correlation between CBK and pavement performance. This correlation is largely empirical and new materials are difficult to incorporate in the present method without exhaustive performance tests. Different paveiiient layers can be analyzed by the CBR nuthod by performing essentially a new flexible pavement design for each layer encountered. The method provides a total pavement thickness require- ment but does not include a provision lor pavement layer quality.
Some analytical techniques are available to analyze multilayered pavement structures. These analyses can
'/.«at/ tad '"i HIXIJ AirjiflJ AwMMM Otnsirui lea ON Slo hilized loundalions. Unpublished Memo: ndum Report (Corps of hngineers, Ohio River Division Laboratories)
be applied to both rigid and flexible pavement struc- tuies. They require the assumption that all layers behave clastically and the loading is static The solutions generally require the use of a digital com- puter as the equations are loo unwieldly for hand calculation except at a very few selected points in the structiiie. The layeied structure analyses require, as input, a value of elastic modulus and Poisson's ratio for each layer. Elastic moduli and Poisson's effects for naturally occurring and stabilized soils are extremely difficult to .iscertam due to both nonhneanty and variation with time. The primary advantage m layered structure analysis is tha' the state of stress for the complete stniLture can Iv produced, interface condi- tions as well as intermediate points can be investigated.
Two techniques are also available to determine the ultimate collapse load of rigid pavements.7-" These techniques are c-scntialK elastoplastic analyses. The lailure is assumed to be progressive and is initiated by the lormation of cracks on the bottom slab surface I i form plastic hinge;., i'urther application of load causes a crack to form in the top slab surface at the point of maximum negative bending which occurs at some distance liom the load. Ihe top surface fibers are in tension rather than compression, and the progression of the negative crack is fiom the top surlace down- ward. In both of these methods, the pavement is represented as a single plate resting on a dense liquid foundation. No capability of specifying more than one layer of paving material is pmvided. The loading is considered to be static. Normally pavements crack on the bottom slab surlace, and upon luither application ol load the cracks migrate trom the bottom to the top surface. This migration of cracking has been noted in both test track and operational pavements. The ob- served manner of crack propagation tends to cast doubt on the applicability of the ultimate collapse load analysis tvhich requires the crack to propagate from the surface to the bottom of pavements subjected to rolling loads.
Prognosis. The probability of successfully quantifying the performance gams associated with a stabilized layer is good if performance data are provided for both
1 Anders Losberg. Slrxuturalty Rctnjtircrd Comrflc Pave- mails. K'hulmcrs I niveisiry ot lethnoloity. Golehorn. I%0)
"J.J. Myerhoff, "Load Carrying Capacity lor Concrete Pave- ments.' ASCt: PrtxrvJin^. Vol ««, No SM-3 Fart I Uun« 1%2).
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pavements with and without stabili/ecl elements. A direct comparison should provide a basis lor deter- mining the pcrtormance benefit and the opportunity to assess the in-use empiricism for pavement design and evaluation.
2 APPROACH
Pavement Performance. Pavement pcrtormance is the prime attribute to be measured in this study. Unloitu- nately, perfoimance can be a rather nelniluus md elusive characteristic. The current Coips of I HgmeeiN pavement design and evaluation methods incorpontC pavement performance by establishing a sliuciural failure cnteiia arid then by deteiimmng the mai'.mtude and number of repetitions ot load required to piodiKc the various degrees of failure as defined in the criteria Failure of any pavement is a progu'ssive pheiionicno'! as opposed to a catastrophic event such as miglil occur when a structural member .n a building tails V ery few catastrophic pavement failures have been rtpoitcd. And, since failures of this typ' are extremely rare, they are not included in the normiil failure ciit.-na. Tluee conditions of failure have ben established tor rigid pavements as follows:
Initial Failure CunJilion. The initial failure condi- tion is defined as that point in he lite of the pavement when 50 percent of the slab:, in the traffic area are divided into two to three pieces by cracks that extend entirely through the slab and which were the result of traffic loading n.ther than Ji mkage, or othei nontrat- fic-induced stresses. This umdition was defined to mark the beginning of struuiral failme and to signal that the pavement should be closely watched as the progression of deterioration will be lather rapid from this point.
Shattereil Slab Condiiion. The shattered slab fail- ure condition is defined as that point in the life of a pavement when the slabs in th«* traffic area are di- vided into six pieces b/ cracks extending entirely through the thickness ot tue slab and were the lesult of traffic loading. This condition w;is defined to mark the point at which an overlay or some major strengthening program should be ui dertaken if the pavement is expected to continue to provide service.
Complete I'atlurt' Condition. The complete failure condition is defined as the point at which the
pavement is no longer serviceable and is said to occur when the -dabs m the traffic aica are broken into appioxnii;iii'l> }5 pieces (each piece being about IS 20 Square feet in area) This condition was defined to mark the end ■>! a pavement's useful life. Operations fiom a p.ivemeiil m this condition are no longer Icasible due to safety and comtoil considerations.
flexible I'avement lailuie is co isidered to occur at that f'vel ui tultic wlikh pradVM either of two failure conditkutt when wrftCI upheaval ol the pMNMHl ad|a(erit to the lialtic lane uMchiv one iruh HI ihnrr ui when iitrface clacking piogusses to (he
IHIIIII that rtio povttntni la no lonfti wittrprod
Pfewmtnf iviluiin.iiKi' is imbvd b', ili inn mliulf ol fi.id ami lunnbi'i nl u'|K'<ilioiis n-.|iiiird lo piddme .•in of the londitioiis oi railurc («crlhed above. Kepetitioi.s ol load .lo axpreaeed bi term ufoot r^n
A imnrip la laid Ui b w oi i vtni v^iM • Bk pom' m Ihc Utfik Met i i. betll WlHortid I .ixmnini b> ,i siiiiili- |i.i.. nl |IM luad win. I Ihc OOVMip COOOept I desuilnng liallu volumi' is used bMMM ",
the i.indoin neiurc ot ilrcrafi trafTk rnfTii i nonnel l> dislriliiii.il across a firnti width ol p.ivcmeiit and Ilio
oowmgi method ol deicribhn IMIIK provMei i common base loi iepresenlin>.' liallu intensity.
Types of Specimens and TeMs »icmse ol the lngli cost ISS.M i.iicd wilii OOOStructitlg and testing lull scale pavcinenls and because ol IIK- wcalher dependency for this typo ot testing, small scale model testing w;'1
selected as the most economical method of test. A small scale test apparatus was available from a previous study ot prestiessed pavements.' The appaiatus con- sisted ot a sod bin S Icet wide, l(> liU long and 4 feet deep which rested on a concietc floor. A loading device was designed to operate in the longitudinal direction on railroad rails located on top ot the soil bin walls. The loading device was powered by a 3-horsepower electric motor. The loading box was moved laterally actoss the pavements by a /4-iiorsepov cr electric motoi. The load was applied to the pavement by a single wheel. For rigid pavement tests, a cushion tire was used lor trafficking. A pneumatic tire was used for flexible pavement testing. The cushion tire is capable of loadings up to .1000 pounds and the pneumatic tire
''Small Stalf MIHJCI SliiJin o] Prcslrcsud RitiJ Have menls Pan I, Development of the Model and Remits oj hxploralof\ TlmU, li-. I.ni.il Report NU. 4 I3/AD2KISHII lOIno Rivi-t division 1 jtmralnru-s. Mjy 1962).
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is cupahlo of loadings up to ISOO pounds. The cushion
lire was not suitable lor use on flexible pavements due
to the high contact pressures developed. The flexible
pavement surface was not stable enough to withstand
the range of contact pressures encountereu f()0 300
psi).
lest pavements were cons'.ructed so as to piovide
a direct comparison between pavement performance
for a pavement with and without a stabilized element.
One halt of the pavement contained a stabiii/ed layer
and the second half did not. The pavements were
trafficked in such manner that direct performance
comparisons were possible by trafficking both the
slahih/ed and unstabili/ed pavements in each pass.
Values of Variables and Control Constants. A laige
number ol vaiiables were considered to affect the
lesults of these tests. To provide a cohesive te-.t series
and to facilitate analysis of results, several of these
variables were held constant in so far as possible:
concrete llexural Mtrength. crushed stone ijualily and
gradation, compactive effoil applied and moisture
content of the crushed stone, subgrade moisture
content, subgrade strength for clay and granular
materials, and loading rig speed. The test variables
included stabilized layer thickness, total pavement
structure thickness, and in some cases percentage of
stabilizer material used.
Measurement Methods. The test pavements were traf-
ficked to failure and the behavior observed. The traffic
passes were counted by an electrical counter. This
method was used for the rigid and flexible pavements.
Rigid pavements were instrumented with electron-
ic transducers to measure deflection of both the elastic
and residual type. Electrical strain gages were also used
to determine strains in the concrete slabs. Strain gages
were mounted on the top slab surface of all slabs and
on the bottom slab surface of two test slabs, 11 and
12. A technique was devised duing the program to
determine bottom surface cracking in rigid pavements.
The principle behind the technique was the interrup-
tion of electrical current by cracks forming in the
concrete slab. Complementary strain data were also
collected from mechanical extensometers during static
loading tests to ultimate collapse. Subgrade strength
was r.-easured in terms of the modulus of subgrade
reaction, k, for the rigid pavements.
Flexible pavements posed a difficult problem for
instrumentation. The flexible pavement materials do
not offer the chance to obtain a rigid mounting for the
linear variable differential transformer (LVÜT) trans-
ducei. Proper operation of the LVDT transducer
requires fnm anchorage in the horizontal plane which
was not available in the llexiblc pavement structures.
Without firm anchorage, some component of horizon-
tal movement may be rellecled in the LVÜI output In
one instance, a transducer was installed in the flexible
pavoment suuctuie In all cases residual deflection was
obtained using conventional surveying ledliliquei.
Mechanical extensometers weie ilso used to measure
deflections during ultimate collapse load tests. Sub-
grade, stabilized layer and base course strength were
measured by the CM tert method.
Method of Analysis, lest results were analyzed by
current Corps of l.ngineeis pavement design and
evaluation methods. This provided an indication of the
applicability of current methods to pavements contain-
ing stabilized elements. Another analysis technique
being used is the layeied elastic. Unfortunately, be
cause of the cost of each individual test item, very little
replicate data are available for a statistical analysis.
Non-dimensional expiessions for data will, howevei,
assist in developing a base for interpolation and
extrapolation of data. A brief presentation of dii len-
sional analysis and similitude as applied to this problem
will assist in tie application of these tests to actual
pavement structures.
3 TEST PROCEDURES
Sprcimens Prepared. A total of 34 pavement tests were
conducted. Of this group, 20 were rigid pavements and
14 were flexible pavements. The rigid pavement test
program included both clay and granular subgrades.
Tests conducted on the clay subgrade were: 7 lime
stabilization tests, Q cement stabilization tests, 2
bituminous stabilization tests. Two tests were con-
ducted on the granular subgrade using cement stabilize
tion. The flexible pavement testing program was
conducted with a clay subgrade and granular subgrade.
Tests conducted with the clay subgrade were: <> lime
stabilization tests, 4 cement stabilization tests, 2
bituminous stabilization tests. Two tests were con-
ducted over the granular subgrade using cement stabili-
zation.
The construction of a typical test rigid pavement is
shown b> the sequence of photographs in Figures I. 2
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und 3. The construction of I typical tlexible test
pavement is shown in Figures 4, 5 and 6.
Construction contiol specimens of concrete and
stabilized soil were prepared as the test pavements wee
constructed to provide preliminary intormation to be
used in establishing trafficking loads. A minimum of 9
concrete control beams and 12 unconfincd compres-
sion test specimens ol slabilimi soil were prepared lor
each concrete test pavement. Twelve unconfmed com-
pression test specimens of slabih/ed soil were prepared
Ibi each tlexible test pavement.
Instrumentation Set Up. The inslruinentation tH up
used for the rigid pavement test series is described for
each transducer used.
Dijh-crion Transiimcrs II 11)1 (itgts), Two differ-
ent mounting schemes were used loi these transducers.
Initially the transformer was housed in a brass fixture
which was cast in the concrete slab and acted as an
integral part of the slab. A ferrous core was mounted
on top of a brass reference rod winch extended
through the subgrade and rested on the concete tloor
henealh the soil bin enc/osure. The MCOnd mounting
scheme positioned ttie translormor on top of the brass
reference rod and the ferrous core was rigidly housed
in the concrete slab. A diawing of the two different
mounting methods is shown on Figure 7. The trans-
former signal was carried fioni the transducei by
shielded cable 'o the west edge ni the testing device.
The shielded cable was then threaded through electrical
conduit to the instrumentalion room which housed the
oscillograph and signal conditioning equipment. For
rigid pavements subjected to interior loading one
LVDT gage was installed in the center of the traffic-
area on the stabilized and unst'.'iilized poitions of the
pavement respectively. Jointed edge pavements were
instnimentcd with one LVDT gage mi eitlier side of the
joint on both the stabilizea and unstabilized portion-
for a total of fo.ir gages. Free edge h-aded pavements
contained a total of four gages, one in the center of the
traffic area and OM a nominal 1M inches from the Irec
edge, on boih the stabilized and unstabilized portions.
A maximum of four LVDT gages could be recorded on
the oscillograDh simultaneously.
Strain liages All strain gages were ol the resistive
wire type construction. The active length of the strain
gages was 1 inch. The maximum aggregate size used in
the portland cement concrete slabs was M inch. The
I-inch gage length was chosen to provide a minimum
2:1 ratio of gage length to aggregate siz^. Strain gages
were attached to the lop slab surface as close as
possible, about l/K inch, to the traffic area. No strain
gdj'es WCK' used during the interior loading studies due
to lack of proper lecordmg ec|uipmenl. The jointed
edge pavements were irislrumented with a total of four
strain ga^es, one on either side of the joint and on both
the stabilized ami iinsiahih/ed portions. The free edge
pavements generally were instrumeiUed with six strain
gages. QM gage was located just outside the tialfic area
toward the slab interior, one gage was located just
outside the traffic area toward the tree edge il space
permitted and a strain gage was attached lo the vertical
free edge as near as possible to the extreme fibeis cm
the tensile side of the natural axis. This scheme was
followed loi both the stabilized and unstabilized
portions of the pavemenl. Strain gage signals were
carried In shielded cables and through electrical
conduit to the instrumeii'ation room. (ontinuous
recording was obtained with (he oscillograph and when
more strain gages were used than could be recorded
on the oscillograph, a precision switch was available
to select gages at will.
Criuk Mann S\\lcm. The crack alarm system was
perlecied about half way through the test program.
The function of this device was to detect cracks in
the bottom surface on the concrele test slabs. The
device was intended to provide data on the length of
lime re(|iiired for a crack m the bottom of the slab to
migrate from bottom to top. Cracks in the top slab
surface were detected visually. The alarm system
consisted of a grid of Hal copper wires cast into the
bottom slab surface. The Hat wires were produced
in-house by cold rolling 20-gage (32 mils) enameled
cop|>ei wires to a thickness of 3 to 4 mils. The cold
lolling produced a brittle wire with practically IM
plastic range. Commercially available Hat copper wire
was tested in the laboratory and exhibited nearly KOO
perccnt elorigalion at rupture. The cold rolled malen..1
exhibited about 20 percent elongation at rupture. Both
materials failed at about 4 pounds total tensile load.
Prior to casting the rigid pavements on the prepared
subgrades, a 4 mil polypropylene sheet was placed over
the subgrade to leduce moisture loss. The crack alarm wire grid was formed on top of the polypropylene
sheet.
Two grid layout schemes were tried The first was
a rectargula' grid with the wire.« placed in the
longitudinal and transveise diiections of the slab. The
sejond was again a rectangular grid but with the wires
placed diagonally across the slab at a 45° angle. The
I grid WJS spucod at one toot Intervall us -.liown in Figure
8. The diagonal grid was considered superior because
transverse and longitudinal cracks could he detected
earlier and with greater certainty than with !l.c
longitudinal and transverse grid. The wire grid was
coated with cpoxy resin just prior to concrete place-
ment. The use ol'epoxy resin was considered necessary
to achieve good bond with tiie concrete slabs.
Construction of -the Test Models. Each lest was
designed to encompass the desired parameters and n M
lo exceed the capacity of the test facility. Stabil ed
layer thicknesses and surface pavement thick' esses
were selected to represent realistic ratios of surface/sta-
bih/ed layer typical of field placement The strength of
the overall pavement was estimated and planned not to
exceed the MOO-lb capacity of the facility for rigid
Pcivements and the IXOO-ib capacity lor llexible pave-
m.-nts.
The stabilized layer placement technii|ues varied
somewhat depending on the material. Prioi to testing
with lime stabilized layers, laboratory tests were
performed to determine the optimum lime content for
the clay material. These tests indicated that 6 percent
lime by dry weight was the optimum lime contem for
this material. All lime stabilized layers were prepared
using 3 percent lime for fixation and 3 peiconl lime for
strength gain. Lime stabilized layers were prepared over
a 3-day period. Lime in sufficient quantity to achieve
fixation was thoroughly mixed with the clay and the
material was then covered and allowed to cure for two
days. On the third day lime was again added in
sufficient quantity for strength gain and was immedi-
ately compacted in place with pneumatic tampers.
Cement stabilized layers were prepared by mixing in a
conventional oncrete mixer and placing on the pre-
pared subgrade m wooden forms. Consolidation ol the
cement stabilized layer was accompli'bed with surface
vibration. Bituminous stabilized lay.rs were mixed in a
conventional drum type concrete mixer with the
aggregate and bituminous material both heated to
about 250nF. After mixing, the material was placed
'inmediately and consolidated with a pan type vibrator.
The pavement surfacing material for the rigid
pavements was a convenlional type of concrete with
small aggregate and high early strength Type III
cement. Tie placement of the material was accom-
plished using surface trowel finish. Moist curing was
used for the first 7 days and the slabs were aif cured
until traffic tested. In the case of jointed edge model
pavements, the joint was always a longitudinal joint
with dowels used for the load transfer mechanism.
Doweled |oinl design loi the model pavement was
based on shearing lorces acting along the joint. The
same cross-sectional aiea ot steel dowels per unit length
of slab was provided m the model pavement as would
be required in a piototypc slab. Dowel diameter was
Controlled by the maximum size of coarse aggiegate
used. Sufficient space was provided between the top
and bottom '.lab smface for the dowel to accommodale
the maximum pailicle si/e of coarse aggregate as well
as to allow additional space equal lo one half that same
panicle size loi cement paste. These dimensions
discouiagcd segregation of the concrete in the vicmily
ol the dowels. The llexible pavements were con-
structed of high quality crushed limestone and placed
at I moisture content of about 6 to 7 percent. The
material was compacted with a pan type vibrator. The
pavement stiucture was allowed to air dry for at least
three days before traffic testing was initiated.
Conduct of the Tests. Traffic was initiated with a single
wheel load, which was determined by using the
stiength of UM construction control specimens and
estimating the load failure relationships at several
thousand passes. An attempt was made each time a
load was determined for trafficking to select a load
which would tail both the stabilized and nonstabilized
portions of the pavement within a reasonable lime
period. Often it became necessary to increase the load
during the test when, after several thousand passes, it
became obvious that failure could not be achieved
within a reasonable length of time. All mstiumentation
was monitored during the trafficking portion by
oscillograph recording.
4 TEST RESULTS
A nairative description of the perlormance of each
of the 34 tests will not be presented; instead, sum-
maries of all test results appear in Tables 1 and 2.
Table I contains the summary information for all
rigid pavement tests. Column captions are briefly
described to define and clarify the terminology.
list Sumhcr and Section. Tests are sequentially
numbered for refeiencing convenience; the section
refers to the stabilized or nonstabilized half of the test
pavement.
*2
Table I Summary of Model Tests Results for Rigid Pavements
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Suhgradc Soil. Two difterent subgrade materials were studied, a low strength clay and a medium strength granular material.
LoaJinn Condition. Three different classes of loading were applied to the rigid pavement test sections: interior loading, where loads were applied at a considerable distance from an edge; jointed edge, where loads were applied in the vicinity of a doweled longitudinal construction joint; and free edge, where loads were applied to within approximately one in^ i of a free longitudinal edge.
Typv of Stabilization. Unit, cement, and bitumin- ous stabilizers were used to produce the stabilized element.
Viickntis (pavement and hasi). The thickness of the rigid pavement slab and the stabilized clement is given in inches.
Subgradc Modulus (suh^radc and haut. The modu- lus of the subgradc material, and the modulus meas- ured at the top of the stabilized element are given where applicable. These values were determined from conventional plate bearing tests conducted with the 30-inch diameter plate and are in pci. The use of a 3()-inch diameter bearing plate in u 4X-inch deep soil bin was investigated by Ahlberg and Barenberg.10
Ahibctg and Barenberg concluded that the pressure bulb as defined by Terz.aghi does not touch the bottom of a 48-inch deep soil bin and the boundary effects are therefore negligible.
hlcxural Strcnyth. After traffic testing the pave- ments, beams were sawed from the unfailed portions of the slabs and failed in flexure; the llexural strengths are obtained in psi.
Bottom Slab Cracking. The load and number of coverages necessary to cause an indication of slab cracking with the crack alarm device are shown. The load is the number of pounds on a single wheel, and coverages are dimensionless. The number of coverages is actually an equivalent number of coverages. It the pavement had been subjected to some loading less than the load shown, the prior loadings are accounted for in the number of equivalent coverages by using Miner's hypothesis, winch assumes damage is cumulative and linear.
' Alherj! .md iMMbwi, tin t<>t I Pavrnunl Test Track A To'il!<>>■ t'valuannx MfeAwg AnVHMHfl U'mversily of III ttnoii Knpuiminj; t vpcnincm Suiion, January 1963).
Initial Iaihirc. Identical to Bottom Slab Cracking, except the crack must be visible on the top slab sur- face. As betöre, equivalent coverage levels are shown.
Complete Failure. Identical to Bottom Slab Crack- ing, except the failure condition is changed and the degree of distress is much higher.
In addition to the collection ot data presented in Table 1, behavioral data were collected from the instrumentation transducers. Strain and deflection were measured on most of the rigid pavement model tests. These data were collected on a recording oscillo- graph and manually reduced at selected intervals. A copy of a typical recording trace is shown as Figure 9. The trace labeled "vertical movement of load rig" is misleading, in that the model pavement profile was not as rough as this liace would indicate. The loading frame was conlaiiud lather loosely in the unit which provided longitudinal and transverse movement. The trace shown is mainly indicating the rocking back and forth of the loading liame in the power unit, which was due to the mechanical connections between the two. The other traces show deflection or strain as appropriate, and the peak values were obtained when the load wheel was in close proximity to a transducer. Two nearly equal maximum excursions are indicative of a pass of the load wheel heading north then reversing and heading south. During this time the load was also moving laterally a small amount and the two peak readings are nearly equal. Other lesser excursions were recorded when the load wheel moved laterally, east or west, away from the transducer. The bottom line which shows as a straight narrow line with periodic- wide short pulses is a timing line. The time interval between pulses is I minute. These data were collected, reduced and plotted. A series of typical results are shown as Figures 10 through 17. These results are for maximum values only.
Table 2 contains summary intormation for all the flexible pavement tests; column captions are briefly described
Test Number and Section. The tests were sequen- tially numbered for referencing, and the sections were identified as either stabilized or nonstabilized.
Subgrade Soil. The majority of the tests were conducted on a low strength clay subgradc; two tests were conducted on a medium stiength granular sub- grade.
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I.IKHI Wheel, l-.ar'y tests were attempted with the cushion tire which was used foi rigid pevement tests. Liter the loadiiig rig was modified to accept a pneumatic tire winch was operated between hU and 70 psi inflation pressure.
Type of StuhiUxation. Stabilizer used tu produce tlie slabili/ed elenent under investigation
ThUkness fennhed stone, UabiUxetlelement). Pre- sents, in inches, the thicknesses of crushed stone over the natural subgiade anil over the stabilized element, and also the thicknes ol the stabilized element. It slunild be noted that the total pavement Ihiekness ovei the nibgnde was held constant on both, the stabilized and nonslabi'ized portions of the pavement. The stabilized element thus replaced an identical thickness of high quality crushed limestone.
Suhfrailc ( HR (stahtlizcil. crusheti alonej. Values of measured CBR arc tabulated for the natural sub- grade, for the stabilized element over the natural subgrade. and lor the suiface of the cuished stone, over the natural subgrade and over the stabilized element.
Failure floaJ and (overages). These values show the load and coverages necessary to produce failure as defined proviouslv. As with the rigid pavement tests, the coverages have been adjusted using Miner"s hypoth- esis to account for loadings other than the lailure load.
5 ANALYSIS AND DISCUSSION
Analysis.
Rigid Pavement Tests. The current Corps of l-.ngineers rigid pavement design and evaluation criteria are based on the Westergaard analysis for pavement stresses.1' Through full scale traffic tests of rigid pavements, empirical relationships have been estab- lished which allow i static analysis to be used for dynamic, fatigue and eiivirciimentalK imposed load- ings. Stress in a rigid pavemont structure is Cflkulated by the Westeigaard stalle loading method and com- pared to the modulus of rupture of the concrete pavmg material. A design factor or, more coimionly, a safety
'MM V iiM|uid, Slftuet "i Cbucfrt» Hvtmnti ('»» puli'J hy TliV(>r<lii ill Anal wn Highway ReMwdi loif4 Pa- pei (DcLfmbct 1*25)
factor is then established by dividing the modulus of mpture by the calculated tlexurai stress, and pavement life predictions are made based on the magnitude ol the design factor. Figure 1 H, which rellects the total (' ol I test track experience, shows the relationship between design factor and coveiages for the initial failuri- condition, For "k" values in the M)0 to 500 pci range, a thickness reduction, and conversely a re- ductiuii m design factor, is allowed based on obser vations of full scale pavements which indicate that while slab .racking will occur, the rate of deterioration is slow due to superior subgrade support.
The model pavements trafficked under mierioi loading conditions were analyzed as follows.
The maximum flcxural stress under load is calcu- lated by the Westeigaard interior load formula:
.-F 10.275 (110 ^ kl';v
(ab) tu 239(1 M) — ,
[Eqt]
where 0 = tlexurai stress in the extreme slab fibers. psi
P ■ wheel load, lbs h ■ slab thickness, inches 1, ■ modulus of elasticity for slab material,
psi JU ■ Poissons ratio tor the slab material,
no units k ■ modulus of subgrade reaction, pci
a.b = major and minor axes of assumed elliptical contact area, inches
The loads used for the calculation of tlexurai stress were the loads which caused initial failure of the slabs. Table 3 lists the results of these calculations for the pavements without a stabilized element.
Ihese analyses compare the performance of the model test pavements with the performance which would be predicted by the current Corps criteria. Referring to Figure 18, it becomes apparent that the model pave- ments should have all failed at less than 10 coverages. The nbserved performance indicates the design factors are smaller than expected and the induced stresses are approximately one-half what would be expected. The absence of environmental effects undoubtedly caused the model pavements to perform better than antici- pated: however, the superior performance observed was considered much betler than that exacted Krause of the absence of environmental effects.
_»u L
Table 3 TMI Wheel Slab Subgrade . l-'lexural Modulus lKsi-ii
Number 1 •■.I'l Thickness MIKIUIU* Stress of Rupture Factor
1 2974 2.09 80 1050 765 .73 2037 145 8(1 1388 653 A: 1899 141 M 1365 676 so 2223 1.77 n 1068 its .72 1005 1.10 HS 1157 752 hS
1155 1.00 11J 1493 880 59 1275 1 12 103 1 **,H HS7 .63
Rigid pavcinenl model tests were also conducted on free edge and jointed edge pavements. The analysis of these tests was identical to that of the interior loaded pavements except that Westergaard's edge load- ing equations were used in place of the interior loading equations. For free edge pavements, the analysis was straight forward, but the analysis of the jointed edge pavements required the use o( a load transfer factor. The load transfer factor is an indicator of the amount of load which is transferred from the loaded slab to the unloaded slab by the jointing mechanism. Several load transfer measurements were made on jointed rigid pavements. As would be expected, load transfer tended to decrease with increased traffic and deterioration. A typical result of such load transfer tests is shown on Figure I1*. These tests were con- ducted by placing th'* load tangent to the jointed edge and measuring strain in the loaded and unloaded slabs. The strain readings were used to determine the percentage of the load carried by the loaded and the unloaded slabs respectively. In the analyses of jointed edge pavements, the joints were assumed to transfer a constant 25 percent for stabilized sections and 20 percent for nonstabili/ed sections These values are considered typical for the entire life of the pavement. Current Corps criteria assumes an average Inad transfer value ot 25 percent for operational pavements. The analysis of free edge and jointed edge pavements using the Westergaard analysis yielded results similar to those found for the interior loading conditions. The cal culaled stresses were about twice the observed values, based on pavement performance.
The Corps of Engineers criteria utilize tensile stress generated in the slab in the flexural respoi.se mode as a basis of performance analysis. Tensile stress, whii h is maximized at the edge load position, is assumed to be the controlling stress in rigid pavement performance.
This tensile stress is compared with the modulus of mpture of the concrete paving material to define the relationship between allowable loads and repetitions of load. The modulus of mpture is determined by the conventional third point loading of a beam. This information provides a basis for establishing a relation- ship between flexural stress expressed as a ratio of the modulus of mpture and repetitions of load.
Assuming the tensile stress due to flexure is the controlling stress in a rigid pavement, a dimensional analysis based on flexural stress is required to model pavement behavior. Langhaar12 has proposed a di- mensional analysis of stresses in an airport pavement. Langhaar assumes that stress in a pavement slab is a function of: applied load, F, slab thickness, h. contact pressure, p, subgrade modulus, k, and the modulus of elasticity of the concrete slab, E. Langhaar proposed an equation of the form:
a=- I .n,, ".» (Eq
in which nx = ph2/F TTJ =E/kh fj =p/E
where
o - tensile stress in the pavement slab (psi) F - applied load (lbs) h = pavement thickness (in) p* contact pressure (p.i) E= modulus of elasticity of pavement slab (psi) k= subgrade modulus(psi/in)
'HI I .int:lu.ir. Dimensional Analviis and Thtorv of Mtxl- • Is (John Wiley & Son*. 1951)
11
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■
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Thus Equation 2 becomes
1 . Ep'h'
kl"1
The rchilionship hclwecn these iliinensiouless factors can be ileleimmeil lioin Westerpaanl analysis of a plate supporletl on an elashc louiuialion. The Wesleipaard solulmn is expressed in liquation I tiom which LanghiBf devdoped lite relalionihipi between /r,, rr., ami V] as:
[Eq4]
Thus Langhaar demonstrated that "Westergaard's the- ory can be represented by a single curve with Ep'h*/ kF2 as the abscissa and oh'/F as the ordinate."
A single curve of this type was developed for typical prototype pavements using Corps of Engineers design criteria. Figure 20 shows a rigid pavement design curve for a single wheel gear fighter aircraft having a 100 sq in lire contact area and a wheel load of 25,000 lbs. The thickness requirements shown for B and (' Traffic Areas represent varying repetitions and magni- tudes of load. As suggested by Langhaar, a curve was prepared which would indicate the relationship be- tween Ep2h3/kF2 and oh2/F for a series of prototype pavements. Variations in magnitude and repetitions of load are satisfied automatically as these changes are reflected by modifying the allowable stress as some percentage of the modulus of rupture. This unique solution is for jointed edge pavements. Such pavements will be in the initial failure condition at the end of their design life. A comparison of this predicted performance and the performance of the model pave- ments was then made by calculating the same dimen- sionless factors for all jointed edge model pavements. The dimensionless plot of the prototype pavements and the model pavements is shown on Figure 21. The line showing the prototype pavements shows the r >mial range of pavement thicknesses, stresses and ubgmk reaction values which would be encountered «ilh a 25.000 lbs single wheel gear load. Extrapolation
■ )l the prototype pavement line to the vicinity of the model pavement points would indicate that the Wester- gaard analysis would be a rather poor predictor for the model pavements.
An earlier study of prestressed model pavements"
conducted with the same lest apparatus and with approximately the same slab IhicklWHCi and siihgi.ide moduli, correlated well with piololype picstressed puvemenls. A comparison of (he lailmcs experienced with the model pavements In this study and the prestressed model pavements shows .some rather striking similarities. Figure 22 shows a close up view of a failed area on model test pavement number 6. Figure 23 shows a failed area from a prestressed pavement from the earlier test series referenced above. In both of the two photographs the failed areas were filled with crushed concrete. The crushed material was carefully removed prior to photographing the failed areas. The two photographs are quite similar except for the absence of the prestressing tendons in Figure 22. The similarity of failures and the superior pertbrmance of die model pavements led to an examination of possible mechanisms by which the model pavements may be experiencing spurious prestressing forces which are not considered in the Westergaard analysis.
The Westergaard analysis does not account for stiesses generated by the elongation of the neutral axis (membrane action) or by the frictional restraint acting at the slab/subgrade interface. Using some simplifying assumptions, an analysis of the effects of membrane action and frictional restrain was performed to obtain an approximation of the magnitude of the stresses involved. The general equation for ext :me fiber stress was assumed as follows:
1 Kp" ) t M • Kf [EqS]
' * Small Scale Model StuUws of PmtrcsseJ Rigid Pai,nu-nls Pan I
where F, h, p etc. are as before and represent the Westergaard analysis
M = membrane stresses due to elongation of the neutral axis
Rt =stress due losubgradc frictional restraint.
The sign convention adopted for Equation 5 assumes tensnn on the bottom of the slab to be positive.
An approximation of the men.' rane stresses. M, was developed as follows. A first approximation of the deflected shape of a pavement on an elastic foundation was assumed to be a sine curve. The generated length of a sine curve over one half the period would be indicative of the total strain experienced along the neutral axis of the pavement. It can be shown that the
12
^J ^1
increased longih of ihc sine cuive, S, subtracted irom ihc liori/oiiial projection is i-qual lu:
s L4-T- Al |Eq6
wiiere S = the length of the sine curve W = |IK amplitude of the sine curve L = th-j period of the sine curve n= 3.14159, transcendental numbei
The same relationship will hold true lop any portion of a sine curve provided I, is adjusted to reflect the proper interval of consideration. The average strain pen- enced along the neutral axis can then he approKimated by:
AL
L 1 W T [Eq 7|
ot the deflection hasin which is ahout MV tunes (In- radius ol relative stiffness.
Equation Scan thus be rewrilien a^ Mlows
(i 0UO73I 'n'i
k [Eq l()|
Equation 10 can be further simplified by sub- stituting the equation for the radius ot relative stiff- nets into Equation 10. The equation toi the radius of relative stillness it:
.h'
ISO u')* |lqll|
iKing 0.IS tor Poiwon's ratio and siinplitying the Imal form for the approximate membrane stress is as lollows
The average stress. M, can be obtained from:
M W IT'
4LJ [Eq8J
where b = modulus ot elasticitv.
The elastic dellections ot the model pavements agreed reasonably well with Wesiergaard's predictions. Tims, the amplitude term W in Equation X can be replaced with Westergaard's expression tor deflection, Westergaard's equation for the maximum deflection of m edged loaded pavement is:
W II 4 n k/! [Eq9]
wlieie W = maximum edge deflection due to I concentrated load
F = applied load k= subgradc modulus
/ • radius of relative stitfness 0.411 = constant involving unit width,
moment of inertia and Pi isson's ratio of 0.15
(MISh F'ff1
k/Mi1 |Kqi:|
When F, II, / etc have been previously defined.
An approximation ot lite stress due tu subgrade frictional restraint. R(, was also developed. The pres SUK' exerted by the subgrade on the bottom of the slab is. by definition:
oN ■ Wk |tql3l
where «N ■ normal SIICNS exerted by subgrade on the slab
W ■ slab deflection k " subgrade modulus
The available frictional resiiaining force should be equal to ihe normal force acting at the slab/subgrade mterfa e multiplied by the coefficient ot friction. Again using the first approximation of a sine curve for deflection and using an average value ot amplitude tor a sine curve of 0.636 and unit pavement width, the expression for Irictional force becomes;
206J KI,Cf
(Eq 14)
In the final form the applied load was multiplied by 0.75 to account for load transfer ami the I. term of Lquation | was set at six times the radius of relative stiffness The 1. te-m is an expression of the diameter
where Pt r frictional force
C( ■ coefficient of friction
L, I .ire as previously defined.
\
13
I ^
Tabk- 4
Availahlo Prototy pi- Kcmlini; Mcmbram- i'rklional
h ll 1 Stress Stress Stress in in/psi
200
Ihs psi psi psi
M 25.(1(1(1 S3fi 22 55 10.3 too 25.(1(1(1 S2b .25 42 1(1.6 50 25,(1(10 526 .31 13 IIJ 25 25.(1(1(1 53f .37 25
M«.iK-l
1.53 200 2JhS I.H34 8.5 2t)K 1.00 120 1 .KII5 3.030 4< : 520 1.23 114 1,503 l.«7K 12.1 268 1.50 '»6 2,520 2,212 152 226
Assuming this force to act across the depth of the pavement and thereby converting to a Irictional stress requires division by the slab thickness, h. Tests conducted by the Public Roads Administration (pres- ently the Federal Highway Administration) show the coefficient of friction is inversely proportional to the square root of slab thicuiess.1-' An empirical equation was developed from force displacement tests in which the slabs were moved hori/.ontally across the subgrade. The coefficient of friction thus obtained represents a RMRtaMM available at the point of impending motion. The expression developed from these tests is as follows:
Cf =585 [EqlS]
where Cf ■ coefficient of friction
A= slab length in feel h = slab thickness in inches
0.585 = empirical factor and units factor to account for A being in feet and h being in inches
Incorporating Equation IS into Equation 14, describing L in terms of /, and allowing for load transfer across slabs yields the final frittional restraint equation:
Rf- 5436 / A_ |Eql6|
'Smalt Scale Model Studies oj Prestressed Rixid Pavrtients Part I
The complete stale of stress in a pavement under a single wheel load can thus be approximated by combining Equations 4, 12, and 16. It should be noted tliat Equations 12 and 16 will yield average values since the avuage value for the sine curve approximation was used in their development. Equation 16 is alsi> depend- ent upon incipient motion occurring at the slab subgrade interface.
Table 4 compares the stresses in prototype pave- ments with selected model pavements. The prototype pavements were selected from the design curve for single wheel aircraft, Eigurc 20. The model pavements were four arbitrarily selected jointed edge pavements withoul stabilized elements. Tests 15. 16, 17 and 18 (see Table I) were the tests selected.
The table illustrates the approximate range of stresses encountered with the model pavements as compared with those of prototype pavements. It should be noted that the bending stresses shown are maximum values and the membrane and frictional stresses are average values.
The normal range of prestress used for pavements is on the order of 200 to 400 psi. therefore, the values shown in Table 4 are significant for the model pavements. The material presented above was con- sidered sufficient basis for using an analysis which assumes full friction is developed at each interface lo analyze the model pavements. The method ol ana lyzing prestressed pavements was not considered ap- plicable as there is no way lo predict how much of the available ftictional restraint stress is mobilized as prestress. Back calcuiatioi. indicates between 25 and 50 percent of the available frictional stress was mobih/cd
14
Jb^. - S
in the model pavements. The method ol malyzing
preslressed pavements does not hive provitiotl for .1
layered (oimdation whieli was also considered to be I
serious drawback in analyzing the pavements whkh
contained a staliih/ed element.
All rigid pavement lest pavements were analyzed
using an elastic layered computer code developed by
the chevron Company and modified by the Unhrenity
ot Illinois to allow tree form data input Ihis e
layered program allows tm the IIKIIISIOII of the
concrete floor supporting the entire model, the sub-
grade soil, the stabilized element and the paveinenl
slab. The analysis iissiimes that no slippage occun
between the layers, i.e., the strain in the bottom libers
ol the upper layer and strain in the top fibers of the
layers immediately below are equal, The program was
developed to analyze layered pavement structures
under static loading. The solution also assumes the
layers are all infinite In horizontal extent with no
diicontinuities such as cracks or joints. To analyze
pa ements constructed with a free edge -n 1 jmnted
edg.1, it was necessary to use the results ol the
instrumentation readings, strain data in particular.
Strains weie measuied and compared at the Irec edge
and the slab interior. Rath s of these slram- nulkated
the stiain and presumablv the sircss ;ii 1 lin aiir v\,i>
115 percent ot the mtenor stress Therefore, ItnMM
computed by the layered pavement piogram were
adjusted to reflect the increase in stress due la I free 01
jointed edge.
The results of these analyses arc compared with
the full scale prototype design line. The design l.u UN
as the ordmate of Figure 24 is computed by dividing
the tlexural strength ot the paving niatena1 by the
maximum load induced stress. The layered analysis, as
would be expected, showed an iiu rease m flexutal
stress in the stablhzal material as the modulus of
elasticity of the stabilized material mueased. Poi the
cement stabilized material, the tlexural stress m the
stabilized element was the controlling stress ralhei than
the ponland cement concrete stress This indicates the
pavements containing cement stabilized elementl acl as
overlay pavements with the slab and stabilize I dement
bnth contributing tlexural capacity to the pavement
si met me. Iiu' layeied .nuKses of pavements containing
lime and bituminous stabilized elemer,is rfiow practi-
cally no capacity for tlexural stresses but mereh serve
to increase the capacity of the foundaiicn to ucept
noimal forces. This behavioi is charactenzed by an
increase in subgrade modulus rather iran .111 overlay
s^iem.
In the ploi ol design factor versus coverages, the
portland cement concrete stress levels are plotted in all
casei except lor the cement stabilized materials which
show the stress level for the stabilized element. The
nunibcr of coverages on the abscissa is the number of
covciages tweessar) to produce the initial failure or
first top surface crack. These data are presented on
Figure 24. The data, in general, lend to fall below the
prototype design line, as expected. The design line has
been eitabliihed from full scale tests of prototype
pavements and is actually an upper bound for the
observed tailures. B-ing an lippei bound, rather than an
average 01 central lendancy indication, some degree of
conservatiam is provided automatically. Also, the pro-
totype pavements were full scale lest tracks and were
thus subjected to climatic conditions which are not
present in the model. The lack of environmentally
induced stresses and strains 111 the model would tend to
promote bettei than anticipated performance from the
model as the pavements were constructed and tested
under ideal laboratory coinlitioiis.
Flirihlc Pavvmcnt Tests. No dimensional analyses
were performed for the flexible pavement tests as
nondimensional plots have been prepared fron, protiv
type tests of flexible pavements previously. The models
icslul were consistently within the range of value of
diese nondimensional plots and were considered repre-
sentative of prototype bchavio. not requiring an
adjustment for size cllects
1 he flexible pavement model tests weio analyzed
using the standaid CBR method of analysis which is
applicable to flexible pavements. The CBR method of
design and analysis has evolved over the past 20 or so
yuan and haa been substantiated by the testing of
many prototype test pavements under simulated air-
craft loadings Sufllcicnt data have been collected to
establish a nondimensional plot of the ratios of CBR
over applied lire pressure versus the thickness required
lor 5,(XX) coverages over the square root of the tire
contact area. This plot is inchuled In Figure 25. Using
the plot, it is possible to establish the total thickness of
llexible pavemem tequiied over a given subgrade CBR
necessarv to withstand ■s,(K)() coverages of a given
wheel load (idenlitled by pressure and contact area).
Other traffic volumes can be analyzed by using an
empirically developed relationship which relates traffic
volume 10 the penentage of the 5.(KX) coverage
thickness 1 his relalionstiip is shown as Figure 26. The
relationship between («rcent design thickness and
coverages is shown as a dashed line for 25,(XX)
13
^J _ _ ^ - -*
coverages ur more because empirical valiJalion ol the line beyond 25,000 coverages lias not been ntiUiihed, ami this portion is Ml extrapolation of lower Iratfic volume ilata
Tbe model tcsl piivemenls were analyzed using the following procedure as an example
Hexible Teil Pavemenl h
Sut^rade (BR - s Wheel 1 ,..i(l - 1559 lbs
Virr PmiUK = 70 pM
(onlail Area ■ 1559/70 2: 3 in;
(BR/p ■ 5/70 . 0.0714 Irom Hgim t/^A ■ 1.20 inr s.ooo cmwafM
^ = 4.72 i 5,66 inches tor 5.00(1
coverages
Actual t = 2,25 Percent of 5,0(10
2 25 TJi'4* coverage thickness =
W/r thickness would correspond to 1 2 coverages from Figure 2t>. All test pavements were analyzed in this manner using the suhgrade CBR measurement. The results of this analysis are shown graphically on Figure 27, The pavements withoul ;i stabili/ed clement are shown as ciicles and the pavement with slabih/ed elements are shown as triangles, 1 he test results generally agree with the results predicted by ("BR analysis. The pavements winch tall below and to the right of the design line were trafficked to a more severe state of distress than would be tolerated on an operational pavement. Only those pavements which experienced failure in the suhgrade material and the stabilized layer are plotted. Tlv first three Hexible pavemenl tests failed entirely within the base course due to the high contact pressures under the cushion tire whidl exceeded the stability of the base civirsc.
Visual observations of pavement performance and results of CBR tests indicate some benefit is derived from the use of lime stabilized and bituminous stabilized layers in Hexible pavements o\er an equal thickness of crushed stone base course. Some increase in ihe CBR value will be noted and the change in performance will be commensurate with the increased CM value. Elastic layeied analyses of flexible pave ments containing cement stabilized elements show that Ihe hvation if the stabilized element within the pavement structure determines the extent of tlcxural behavior the element will exhibit, Stabili/ed elements
below a layer ol crushed stone base course tend to exhibit less tlcxural action since the load is already spread to some extenl before ll reachei Ihe stabilised element.
Due to the limited capacity of Ihe loading rig. the stabilized elements tested in the program were rather thin. Thicker sections probably would have exceeded the load capacity ol the device and could not have been failed. Ihe standard field CBR test14 was used to evaluate the slrength of the suhgrade and the stabilized layen. The ratio of loaded area radius to slal .nzed layer thickness was much greater than would be encountered in the prototype. The use of a scaled p ston was considered; however, because of the lack of performance data using a smaller piston the idea was dropped. The effects of evaluating a prototype stabi liz.ed layer, where the thickness of the layer is large relative to the radius of the CBR piston, cannot be evaluated from these tests t'BR tests on cement stabilized materials, in particular, may not yield reason- able results where the stabilized elements are three inches or greater in thickness.
Discussion. The poor correlation between the model and prototype rigid pavements using the Westergaard analyses is primarily due to the suhgrade frictional restraint stresses. Analysis of the model tests using a layered mathematical model which assumes full fric- tion at all interfaces and compaiing with a friclionless analysis for the prototype improves the correlainm considerably. Some disparity between 1'ie model and prototype can be expected due to the lack of environ- menial elleds acting on the model slabs. The analysis was performed using R values for Ihe soil as determined from CBR tests, unconfined compression tests, plate bearing tests and engineering! |iidgemenl. Some corre- lations have been established between L value and the tests above by Thompson. Wide ranges ol F values can he obtained from the various correla- tions available and Ihe selection of the proper t becomes a matter of judgement. The test data points can be shifted significantly by altering the E value ol the soil la ers. The elastic lawied approach seems most maonabk foi pavements containing stabilized layers if realistic vah'es for the modulus of elasticity ol the various lavcrs .an be determined.
Vl/V>/i<a/li;'i i>l ihi RtMills Of Rru-arrh le Ihi Sinnlural IhMgn 11/ OMWMI I'UU runls Pr^ivdims ol ihe American Concrete Institute. Vot S3 (Seplcmber 1939).
16
t ■
6 CONCLUSIONS, RECOMMFNDATIONS AND CLOSURE
Conclusion. Bns'-'d on the icsi results reported herein
the following conclusions arc clrawn regarding the
structural benefits imparted to a pavement structure by
various stabilized elements
Rigid I'dvcim-nl Teil Scries
(1) Applicability of Theory. The Westergaard analysis did not yield rcasonahk results foi the model
pavements tested in this study. The m^oi drawback in
applying the Westergaard analysis to ;i pav<
strudure containing a stabilb^d element lies in the
assumption of a Wmklcr U uuJui on and the ability to
analy/c only a single plate on the foundation, im
of a stübili/ed layer can only be iccomptilhed by
modifying the spring conatanl of the subgrade,
lying the thickness of tbc concrete slab 01 by some
combination ol modifications to the Klbgrade ami slab.
(2) Lime Stabilization. Lime stabilization used in
conjunction with a rigid pavement appears to inc-
the bearing capacity of the suhgrade. An analysis of a
ngid pavement containing a Irne stabilized laser by the
Westergaard method should refect the ettcct ol the
lime stabilized element by ;III itvieasc in the subg
modulus. Lime stabilized layers do noi contribute
appieciably to the llexural capjcih ol UM Stru Im
due to the low modulus ot elasticity relative lo thai "I
the pavcmeni sbib.
(3» Cement Stabilization. Cement stabilized layen
possess sulikient rigidity to contribute to ibc flexural
capacity of the slrucnire. Rigid pavemei;' structures
containing cement staMUzed element should be treated
as overlay pavements Cement modified sml layers
appear to merely improve soil workability bin d.
increase the structiiryl capacit;. oi riin.i pavemei i
structures.
(4) Bituminous Stabilization. The bituminous
stabilized layers tested in tins id offered no
advantage over high ijualiu cnished lure-:
courses.
Ihxihlc I'atiimiii list Series
(I) Applicabdiiv of Theory, l-or the tests con-
ducted in this studv. the CBR an ilvsis yielded reason-
able results. Apparentlv tbe stabilized m itciiah b.ul no
greater capacits tor suppoitinu traffk than s convcn
tional base couise of tbe same CBR
(2) Lime Stabilizati m. The lime stabilized layers
seemed lo otter hltle or no performance benefits over
an equal thickness of hnJi quality crushed limestone.
I he performance of the layer should be reflected by
the ( BR value of the layer.
(3) Cement Stabilization. The ability of the ce-
meni stabilized layer to contribute tlexural capacity to
tl e pavement structure depends on its location in the
structure. Cemenl stabilized layers located at or near
the top surface will behave as slabs, however, these
same layers located beneath i base course cover will be
loo lai removed from the load to exhibit tlexural
action. Cemenl modification id soils appears to merely
improve soil workability but does not contribute to the
■ naciin .1 capacity of the pavement.
(41 Bituminous Stabilization. The bituminous sta-
biiized layers offered no advantage over high quality
J bed limestone base couises.
RecomrnenHations. The following recommendations
are offered relative to the design and evaluation of
pavement structures incorporating stabilized elements
based MI the results of this study.
I 11 The elastic layered method of analysis is
mended lor promlype pavements containing
stabilized elements. Field applications should be based
on a Irr. lion free interface assumption.
(2) I lie use of equivalency factors between base
materiafa am! ceineni stabilized layers is dis-
couragl d 1 he behawkM of the two materials under load
is completel) different and a true equivalency is not
possible.
(1) Should an actual application require the use of
a very thin slab supported on a subgrade. exploitation
oi th< IM restraint stress is not recommended,
linviromneiital facton acting on a slab, such as ingress
i I moisture at the subgrade interface and warping due
to temperature gradients, will probably reduce the
tihin n.il h-.iiaint lo a very low level.
Closure. Tl e f illowmg observations were made during
i 'his studs. Wlnle these comments are not
dnectlv supported by definitive data, they are con-
ta bi I i value and aie offered for consider-
stion.
( I) An exhaustive dimensional analysis and simih-
lud( Stud) should piet-ede any model lest of pavement
Rigid |>avemeiit models in which the slab
thickness is less than about 4 inches will result in a
magnification of subgrade frictmnal restraint stresses.
i
17
K9J
(2) Care should be exercised in locahng a stabi- lized elcmenl in a pavement structure so as not to impede drainage of the structure. In general, stabili- zation tends to reduce the permeability of materials. Analytically and under idealized conditions, some layer arrangements will appear superior in regard to struc- tural support but will offer formidable drainage prob- lems
(3) The use of biluminoi's stabilization of mar- ginal materials should be investigated. For example, an
aggregate base course material which deviates from the recommended gradation specifications may be im proved sufficiently by bituminous stabilization to offer satisfactory performance.
(4) If the clastic layered method of analysis is adopted for pavement structures, further research is recommended for '.he determination of elastic con- stants of paving materials with reasonable ease, ac- curacy and reliability.
REFERENCES
AJilberg and Barcnberg, Puzzolanic Pavemml:.. Hngi- neering Experiment Station Bulletin 47.1, (Uni versity of Illinois, February l%5).
Ahlberg and Barenberg. Tlw U of I Pavement Test Track A Tool for h'valuating Highway Pave- ments (University ot Illinois Fngiiicenng Experi- ment Station, January 1963),
Application of the Results of Research to the Struc- tural Design of Concrete Pavements, Proceeilings of the American Concrete Institute, Vol 35 (Sep- tember 1939),
Kawala, E.L, Cement Treated Suhhases for Concrete Pavements, Technical Bulletin 235, (American Road Builders Association, 1958).
Kawala, E,L,, "Cement Treated Subbase Practice in U,S. and Canada," ASCt: Proceedings, Highway Division Journal HW-2, (October l%M.
Langliaar, H.L, Dimensional Analysis and Theory of Modeh. (John Wiley and Sons, 1951),
Toad Tests M Rigid Airfield Pavements Constructed on Stabilized /OM/U'I/^ins,Unpublished Memoran- dum Report (Corps of Engineers, Ohio River Divi- sion Laboratories),
Losberg, Anders, Structurally Reinforced Concrete Pavements, (Chalmers University of Technology, Göteborg, I960).
Military Standard 62/-zl,Tesi Methods for Pavement Subgrade, Subbase and Base-Course Materials.
Myerhol, J.J., "Load Carrying Capacity of Concrete Pavements," ASCT Proceedings. Vol ««, No, SM-3 Part I, (June 1962),
Small .'icale Model Studies of Prestressed Rigid Pave ments Part I, Development of the Model and Results of Exploratory Test,, T^hnical Report No, 4-13/AD 281580(Ohio River Division Labora- tories, May 1962),
Soil Testing Service, Inc. Tluckness Design Pro.edure for Airfields Containing Stabilized Pavement Com- ponents, p/epared for the Federal Aviation Agen- cy, Contract No. ARDS-468, AD607331.
Thompson, M.R., "Lime-Treated Soils for Pavement Construction," ASCh Proceedings, Highway Divi- sion Journal HW-2. (November 1968).
Westergaard, H,M,, Strews in Concrete Pavements Computed by Tfieoretical Analysis, Highway Re- search Board Paper (December 1925).
4
18
*4M
IIIW *m»
Figure 1. Completed subgradc prior to placement of polyethylene sheeting. (Material in DM
foreground is lime stabilized clay. The two small black tubes in the upper center of the photo are instrumentation housings with strings attached to pull wiring.)
I
■aw"
Figure 2. Coating o( crack alarm grid wires with epoxy resin prior to concrete placement.
X iy
f ^
Figure 3. Concrete placement ■pproxinutel) one hall" complete (All crack alarm grid wiics have been coated with epuxy resin.)
Figure 4.
Reproduced from best available copy, ©
Vibiatinii pan type oompactoi used to oimpact crushed stone hUH CCHtne natc rial lor flexibk (lavement I
l«J
Figure S. Compaction of the lime soil mixture with the pneumatic tamper.
Figure 6. Overall view of a completed flexible pave- ment prior to test traffic.
^J
LVDT MOUNTING
. • PCC
Core
.^1 Cop bcr.-w Cap Screw
r^
i
PCC
N—Transformer Windings
Brass Reference Rod
y Hole Casing
\J
INITIAL Floating Transformer
Fixed Core
Windings
Brass „, Reference Rod
/- Hole Casing
FINAL Floating Core
Fixed Transformer
Figure 7. Linear variable differential Iransformei mounting techniques.
A TroffiC Arto
r
0-
^LL'-lLJJ.L'J-LllLULJl-Ui-LJlLUJJ \ Crock Alorm Wiring ScoH I I in = 2 ft
Figure 8. Typical layout of crack alarm wire jmd.
22
T
*J
I
*****
I I!
If JW »* I
:-r:;,;- t^:::
/ : : : ES=: f • ' • : "■T"H '"t- —
"H''!";"' Ißi:™-^--"-
—^^r— ;: : :: :: ;:: .
■ . | .
■ • ■ • i-j-i . ., i ,
/ ' : - : :: I ; ':■ ■'■'■':'•.': i
'ir'U U Tf B IM- ,. ii. . . .
:::
1 . , .4.
1^—^-
Figure 9. Typical oscillograph trace from traffic testing of model pavement 12.
23
^« -»—♦••'■■""••
1501 -|» I40S -U ?I80 -J CtMrtfn
1000 ?000 ^ <». 4000 5000
M \~^ ^*,^•^ k^
"^ 04
|
Not« OtfltCtiO« GO«« PlotICO Q
TEiT iL»B IB
Gronglo' Bat«
oa N E □ © N W
Aipftalt Bolt
s r ao suKÖcri
O CMtltctior G09« □ Stroir Gag«
( Do«« I ltd Long Joint
Figure 10. Typicyi dcfkcÜon-COWBnft pr.it, west slab, nonslabili/cd.
Load.ibt L ,505 4- 1905 --4« 2I»0 -| Co<«fO««i
lOOO
iieo
?000 JOOJ «OÜO 5000
< Uo«rtil«< Loo« Joint
O O««l«etion bo«« □ Sliom Go»«
Figure II. Typical detleclion-cuveragc plot, cast slab. nonttabilized.
24
^f J J -tn ■ 1 r
10*4. lit [• IJOJ «L- l»OS
Cov«rOf«t
tooo yxo *ooo »ooo
zito -j
0
k rtf
04 u ><
0« 1
Nor« Siro." Cot* Helft ^13
H
TtST SL*8 18
Gronutor Bot*
On N i
Alphnlt Bot«
I t oo
O O«li«inoii Oo«« □ S'ioin Co««
t Oo*«li«d Lonq Join*
Figure 12. Typical strain covorago plol, west slab, nonstabiiized.
Load,ibi
h 1501 - I»04 4» Ji80 -^
C ov«r09«t
I00O ZOOO 500C teOI 5000
M
x
h -^ i \ i
Nott tfrclD Gag« ^ o'tta CS3
TfST —1
SI *H It 1 ,'On , 0' Bat« 1 «iphoK Boi«
ao N t
H ■
1 i [-10
s«OD ( Do««ll«« Ion«
JO'ltl
O 0»»"«ci on Go«« O Slra n Go««
Figure 13 I\i>ical sltain-coverage plol, east slab, non-
stabili/eii
ill . t 1 - m m. »m' •^'
h IMS 1905 4- ?l«0 -| Co*«rQg«s
e I 1000 ?00n JOOO 4000 500()
^
^ .
\
PI
_ (M
' N
M 1
Not« OtdttliSn C09* PlOllt«
TfST SLAB 18
Grtnulor Bot« Aiphall Bo»
OC3 M i C3Ö N«
s t no
O 0«ll«cli»n Go«« □ Slio.r Cog«
t Do«ll«d Lonl Jotit
Figure 14. Typical iletlection-coverüge plot, west slab. itabilized.
LM4,lk« I 4.— 2i«o —4
Not« D«ll«cl.«« -.o»« P.oil««
TEST SL«t It
Gf«»ul«r »«K
OC3 N f
15Ö »••
Atphf.i 8a»«
11 CD« s«00
t Dow«11«« Lou« Joint
O 0«li«clio» 6*9« Q Strain &«««
Figure 15. Typical deflectum-oveiage plot, eust slab, stabilized.
>
A _1 jBp!«Mw>
IS05-
J Of I
i
■ I o
—i« 1905 4* ^'B<' -|
C0V«r0f«t
1000 ?000 5000 4000 5000
^ - I V
** k-- A
\
N»H Strsm COf« Plolltd E3
OfOnulOr Bot«
oa N C □o * •
TEST SLAB IH
Atpholl Bot«
s t DO s «OEJ
O Dttlaciion Cat* CD Sttam Co««
t DO««H«O Long Joint
Figure 16. Typical strain-coverage plot, west slab, stabilized.
-.oa.c
h
I
i 04
■t
HOI r»05 2IB0
EBHMpt
1000 2000 5000 4000
1 ■ ■
Sl-o.n C«t« »lout«
1 TIST $L«» I«
SranulOf Bot« i *t«holl Bot«
"I 5c MQ smOÖ
- —( 0*Mli«< Lao« Jeml
O O«(l«cl>on Got« C3 SliO'n So««
Figure 17. Typical strain-coverage plot, cast slab, sta- bilized.
27
,
50 100
c 1.0
I
Coveroges
500 lOOD 5000 IC 50,000
Figure 18. Design factor versus coverages for initial slab failure.
40
30
111
M 20 z <
o
! .0
0 0
VS^ V ^s.
^1 f^^^V!
^
Dablliltd
i #1
L MNMMntfi )
IS 20 COVERAGES 110
Figure 19, Typical summary of load transfer tests across joint.
25
'
^J» ■ - - '
Tricycl« Gear
in a
| »■
1?, B 3 K «I
E
Traffic Ar«ai 8 C
-i?
i?
s I
IO - c
- a 9
b
— 8
— 7
L-e
I I
•
Figure 20. Design curves tor concrete airfield pave-
ments, single wheel. 100 sq. in. contact
area.
« - modfl Ml do' o
1
dtugn cur»f • or unglt wheti lood - .^^*^
^
X
X
X
(
X
X
»0 900 1000 »000 10000 50000 100000
Figure 21. Nondimensional plot of single wheel design
curve and model test data using Wester-
gaard analysis.
_*J
Figure 22. Close-up view of a failed area on model test 6. (Crushed surface concrete was removed from the area prior to taking the photo- graph)
Figure 23. Close-up view of a failed area on a pnstre» sed model pavement. (Crushed Mirla.o om crete was removed exposing ihe preslies- Mng steel tend..ns )
^«J
Reproduced 'rox best available copy
I u O
Ü.
IS
4
s Covtragts
0 50 100 500 1000 5000 0,000 50pOO
*
B J / 1 /
1
■ 1
4 4
^ • c •
^ ^ 0 • 0
0 1 ^^ _ ' " •. r
• ■
0.7
, 1 ö" t 4
0 • *
05
0 4
■ ■ • ,-
0 No'o'n. • Lim« * Cvnwnt 3 C«m«ni Modifi«d — « Bilunvnou«
0 2
0.1 1 1
Figure 24. Summary of rigu! pavement tests.
*
QOI 002 .004 006 M ,0
CBR/p
2 04 .06 .06 1 .1 .4 1 .8 1
'5
- .^ '
F"
^^^ ..
5
I
M
I
15
4
M
5
9.»
^ S ^ I
/ T
1 /
/
/
/ -1
J / /
/
/ CBR-Colitofn.o B«onng Ro'io
p Appliffd Pr«ltür« i A - Tir« ContOCl 4r»o 1 - Po»»m«nt Truclin»«« R«qu««a _ /
u p /
(
1 fo< 9000 Co»«f
1 1 1 1 Ll 1 1
_ LL . J 1 Figure 25. Consolidated CBR ourve tor 5,000 cover-
ages.
L
31
i
I u
I I c u
50 IOC
Coverages
500 1000 5000 10,000 50,000
Figure 26. Percent design thickness verus coverages, llexiblc pavement failure.
Cover oges
500 1000
Figure 27. Summary of flexible pavement tests.
32 /
*«*