46862561 mechanistic approach for fiber reinforced flexible pavements
TRANSCRIPT
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
ASEMINAR REPORT
ON
MECHANISTIC APPROACH FOR FIBER REINFORCEDFLEXIBLE PAVEMENTS
Transportation Division 1
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
i
ABSTRACT
The present study investigates the benefits of reinforcing the subgrade soilsin flexible pavements. Three types of Soils A, B, and C, and one type ofpolypropylene fiber having aspect ratios of 50, !, and "00 #ere selected. TheCalifornia bearing ratio CB$ and unconfined compressive strength tests #ere
conducted on unreinforced and reinforced soils. The optimum %uantity of fibers #asdecided based on CB$, modulus of elasticity E i and failure stress. The static
triaxial tests #ere conducted on unreinforced and reinforced soils as #ell as onother pavement layers at a confining pressure of !0 &'a. These stress(strain data#ere used as input parameters for evaluating the vertical compressive strain at thetop of subgrade soils using elastoplastic finite(element analysis. This verticalcompressive strain at the top of unreinforced and reinforced subgrade soils #as used
for estimating the improvement in service life of the pavement or reduction inthic&nesses of differen t layers for the same service life due to reinforcing thesubgrade soils.
Transportation Division 2
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
C)*T+*TS 'age. *o
ACKNOWLEDGEMENTS iABSTRACT ii
1.0 INTRODUCTION 1
2.0 EXPERIMENTAL PROGRAM 2
2.1 MATERIAL SELECTION 2
2.2 TESTING PROGRAM 3
2.2.1 CBR TESTS 32.2.2 UNCONFINED COMPRESSION STRENGTH TESTS 4
3.0 OPTIMUM QUANTIT OF FIBERS !
4.0 FINITE"ELEMENT MODELING #
4.1 STEPS IN THE FINITE"ELEMENT METHOD $
%.0 MECHANISTIC RESPONSE MODEL 12
&.0 DIMENSIONS OF MODEL AND LOADING 13
&.1 BOUNDAR CONDITIONS 14
!.0 INPUT DATA FINITE"ELEMENT MODELING 14
#.0 BENEFITS OF REINFORCEMENT 1&
$.0 CONCLUSIONS 22
REFERENCES 23
Transportation Division 3
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
List of Tables 2.1.1 P'()i*+, - /- ti ) / )/i,) A B C ) 5 i6 - ) 6t )t 5( 3
2.2.1.1 CBR 7+, ) / UR R )/i,) 4
2.2.2.1 M/5 , ) / E,+)ti*it( F+i, St )) ) +65 St +i6) / 5i 6t )/i,) &
3.1 P /- ti ) / )/i,) +t O-ti8 8 i9 */6t 6t #
%.1 T'i*:6 )) / E+*' L+( / T + i* I6t 6)it( / 1%0 8)+ 12
!.1 ;+, ) / I6iti+, T+6< 6t M/5 ,ii / -+7 8 6t M+t i+,) 1.1 R i6 / * 8 6t B 6 it) i6 S 99+) B+) +65 DBM T'i*:6 )) 21
List of Figures
2.1.1 P+ ti*, )i= Di)t i9 ti/6 / )/i,) 2
2.2.2.1 T(-i*+, )t ))")t +i6 * 7 ) / )/i, A +t +)- *t +ti/ / 100 &
&.1 Fi6it " , 8 6t 5i)* ti=+ti/6 / -+7 8 6t ) *ti/6 / )/i, A 13
!.1 D 7i+t/ )t )) 7 ) ) )t +i6 * 7 ) / UR R ) 9< +5 )/i,) 1%
#.1 ;+ i+ti/6 / 7 ti*+, */8- ))i7 )t +i6 +t t/- / ) 9< +5 >it' ) 99+)
t'i*:6 )) 1!
#.2 ;+ i+ti/6 / 7 ti*+, */8- ))i7 )t +i6 +t t/- / ) 9< +5 >it' 9+) t'i*:6 )) 1$
Transportation Division 4
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1.0 INTRODUCTION
T' )*+,+ti6< */)t / 8+t i+,) +65 6 it' )'/ t i9 ) i) /6
) *' +,t " 6+ti7 . R * 6t,( )(6t' ti* 8+t i+,) ,i: < /t ?ti, ) < /< i5 +65 i9 ) '+7
7/: 5 */6)i5 +9, i6t )t +8/6< 9/t' 'i 7 +9) 6* / +
> ,," 5/* 8 6t 5 5 )iit' )'/ t i9 )+-- + ) t/ '+7 t' < +t )t -/t 6ti+, / ) ** )) ,
+--,i*+ti/6 i6 t' 5 )i
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
2.0 E !ERI"ENTAL !RO#RA"
2.1 "aterial Sele$tio%
T' t(- ) / )/i,) 5 t/ +) S/i,) A B +65 C i6 t'i) -+- +65 /6 t(- / i9 > ) , *t 5 /
t' P ) 6t )t 5(. T' < +i6 )i= 5i)t i9 ti/6 * 7 ) /9t+i6 5 / t' ) )/i,) + )'/>6 i6 Fi
*/8- ))i9i,it( A"& S/i, B i) )i,t / ,/> */8- ))i9i,it( A"2"4 +65 S/i, C i) )i,t( )+65 A"3.
T' -/,(- /-(, 6 i9 >it' + 5i+8 t / 0.3 88 >+) ) , *t 5 / i6 / *i6< t'
)/i,). T' i9 ) > * t i6t/ -i * ) / 1% 2% +65 30 88 , 6
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
igure -."." 'article si e distribution of soils
Table2.1.1. P'()i*+, P /- ti ) / S/i,) A B +65 C U) 5 i6 P ) 6t St 5(
2.2 Testi%g !rogra&
Transportation Division !
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-.-." CB$ Tests
A )t+65+ 5 P /*t/ ) t )t >+) *+ i 5 / t /6 6 i6 / * 5 +65 i6 / * 5 )/i,) +t
5i 6t i9 */6t 6t) +65 +)- *t +ti/) t/ /9t+i6 t' 8+?i8 8 5 ( 5 6)it( MDD
+65 t' /-ti8 8 8/i)t */6t 6t OMC . T' 5 ( > i *+,* ,+t 5 )i6< t' P /*t/ ) 5 6)it( +65 t' 7/, 8 / CBR
8/ ,5. A t/t+, / 3$ )+8-, ) > t )t 5 / t' t(- ) / )/i,) +t 5i 6t i9
*/6t 6t) +65 +)- *t +ti/) + t )/+:i6< t' )+8-, ) i6 >+t / 4 5+(). It >+)
/9) 7 5 t'+t t' CBR +t % 88 - 6 t +ti/6 >+) */6)i)t 6t,( 'iit' )- *t t/ 6 i6 / * 5 )/i,) +
- ) 6t 5 i6 T+9, 2. A) 8+( 9 ) 6 t' CBR i6* +) ) ) 9)t+6ti+,,( 5 t/
i6 / * 8 6t. T' i6* +) i) ) 6)iti7 t/ 9/t' i9 */6t 6t +65 +)- *t +ti/. A,t'/ it' t' i6* +) i6 i9 */6t 6t +65 +)- *t +ti/
8i?i6< / i9 ) i6 )/i, 9 (/65 + i9 */6t 6t / 1.% >+) ?t 8 ,( 5i i* ,t +65 i6iti+,
*/6*+7it( >+) /9) 7 5 i6 t' ,/+5"- 6 t +ti/6 * 7 / +,, )- *i8 6).
Table 2.2.1.1 CBR ;+, ) / U6 i6 / * 5 +65 R i6 / * 5 S/i,)
Transportation Division #
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-.-.- /nconfined Compression Strength Tests
U6*/6 i6 5 */8- ))i/6 +65 t i+?i+, */8- ))i/6 t )t )- *i8 6) > - -+ 5
i6 + )-,it 8/ ,5 / 100 88 5i+8 t +65 200 88 ' i */65 *t 5 /6
6 i6 / * 5 +65 i6 / * 5 )/i,) +t 5i 6t i9 */6t 6t) +65 +)- *t +ti/) +65 t'
7+, ) / 8/5 , ) / ,+)ti*it( +65 +i, )t )) ) > 7+, +t 5. A t/t+, / 3$
)+8-, ) > t )t 5 +65 t' t )t 5+t+ +6+,(= 5. T' )t ))" )t +i6 * 7 ) / )/i, +
6/6,i6 + )i6* t' /6) t / ,/+5i6
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Fig. 2.2.2.1 T(-i*+, )t ))")t +i6 * 7 ) / S/i, A +t +)- *t +ti/ / 100
T' / i6iti+, */ *ti/6 >+) +--,i 5 >'i, *+,* ,+ti6< t' ,+)ti*
Transportation Division 10
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8/5 , ) / )/i,) i6 / * 5 >it' i9 */6t 6t ?* 5i6< 1.% . T' +i, )t )) +65
*/ )-/65i6< )t +i6 > / 65 t/ i8- /7 >it' i6* +) i6 i9 */6t 6t. T' 7+, )
/ 8/5 , ) / ,+)ti*it( E i) +i, )t )) 1 +65 */ )-/65i6< )t +i6) f )/9) 7 5
i6 t' *+) / 6 i6 / * 5 +65 i6 / * 5 )/i,) + - ) 6t 5 i6 T+9, 2.2.2.1 /
5i 6t i9 */6t 6t) +65 +)- *t +ti/). A */8-+ i)/6 / T+9, ) 2.2.1.1 +65 2.2.2.1
i65i*+t ) t'+t E i 7+, ) + 6/t +) ) 6)iti7 t/ i9 i6 / * 8 6t +) t' CBR 7+, ).
T'i) i) +tt i9 t 5 t/ t' 6+t / t' t>/ t )t). T' CBR i) + - 6 t +ti/6 t )t +65 +6
i65i *t 8 +) / )' + )t 6
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'.0 O!TI"U" (UANTIT) OF FIBERS
O-ti8 8 +6tit( / i9 ) >+) 5 t 8i6 5 9+) 5 /6 CBR 7+, 8/5 , ) /
,+)ti*it( Ei) +65 t' +i, )t )) 1 / i9 " i6 / * 5 )/i,) +) ?-,+i6 5
+ ,i . A,t'/ it' +6 +)- *t +ti/ / #4 >+) / 65 t/ 9 /-ti8 8 / S/i, C. T' CBR /
S/i,) A B +65 C > / 65 t/ 9 1.1& 1.$% +65 &.20 )- *ti7 ,(. T' ) 7+, )
i6* +) 5 t/ 4.33 &.42 +65 1#.03 )- *ti7 ,( 5 t/ i6 / *i6< t' )/i, +t /-ti8 8i9 */6t 6t.
T' -+ +8 t ) ,i: 8/5 , ) / ,+)ti*it( +65 +i, )t )) > ) 5 +) + ) */65
@ 5
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
Table 3.1. Properties of Soils at Optimum Fiber Content
*.0 FINITE+ELE"ENT "ODELIN#
A t>/"5i8 6)i/6+, 2D +?i)(8 t i* ,+)t/-,+)ti* i6it " , 8 6t+6+,()i) / t'
8 *'+6i)ti* -+7 8 6t 8/5 , )ti6< /6 6 i6 / * 5 +65 i6 / * 5 ) 9< +5 )/i,)
>+) *+ i 5 / t 9( )i6< ANS S )/ t>+ i6 / 5 t/ +6ti ( t' 9 6 it) /
i6 / * 8 6t. T' 7+, ) / 5 / 8+ti/6) )t +i6) +65 t' )t )) +t t' t/- / ) 9< +5
> *+-t 5 /8 +*' */8- t 6. A,)/ + -+ +8 t i* )t 5( >+) *+ i 5 / t t/
i67 )ti
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
!." Steps 0n The ,inite +lement 1ethod
1. 2iscreti ation 3 The structure is divided into no. of elements 4and the no. of
nodes I5 +,i=+ti/6 / t' )t *t / +6+,()i) C'//) t(- / , 8 6t 6 89 / 6/5 ) / , 8 6t) 5 < / 5/8
- 6/5
F/ t' 5i8 6)i/6+, +6+,()i) )'+- ) / t' , 8 6t) + 9 i*: /t t +' 5 /6
F/ t' 5i8 6)i/6+, +6+,()i) )'+- ) / t' , 8 6t) +
F/ -,+t 9 65i6< - /9, 8)P,+t , 8 6t) )'/ ,5 9 ) 5
Transportation Division
#"6/5 5 9 i*:
, 8 6t
-(d elements
14
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
F/ )' ,, +6+,()i) )' ,, , 8 6t )'/ ,5 9 ) 5
2. 2etermine the element characteristics 3 Sti 6 )) 8+t i? / t' , 8 6t E i7+, 6t 6/5+, / * 7 *t/ )
a .A)) 8 7+ i+ti/6 / 5i)-,+* 8 6t >it' i6 t' , 8 6t i6 t 8) / 6/5+,5i)-,+* 8 6t)It 8 +6) t' 5i)-,+* 8 6t) +6( >' i6 t' , 8 6t i) 5i *t,( 5 - 65) /6 6/5+,5i)-,+* 8 6t) /6,(
I6 8+t i? / 86f78 9*: 6;7 4"
6f78; *t/ / t' 5i)-,+* 8 6t) >it' i6 t' , 8 6t6;78; *t/ / t' 6/5+, 5i)-,+* 8 6t) >it' i6 t' , 8 6t9*:8S'+- 6*ti/6 8+t i?
b. > it t' )t ))")t +i6 ,+ti/6)'i-6
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
9B: T8t +6)-/) / 9J 8+t i?
9?:6;78 6,7 45
4 . A--,( 9/ 65+ ( */65iti/6) t/ t'
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,.0 "EC-ANISTIC RES!ONSE "ODEL
T' -+7 8 6t ) *ti/6 >+) 8/5 , 5 +) +6 +?i)(88 t i* )/,i5 t/ /9t+i6
8 *'+6i)ti*+,,( t' ,+( 5 -+7 8 6t )-/6) 5 t/ t + i* ,/+5i6< +65 t/
i67 )ti
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
.0 DI"ENSIONS OF "ODEL AND LOADIN#
Di8 6)i/6) / i6it , 8 6t )'/ ,5 9 ) i*i 6t,( ,+ < )/ t'+t */6)t +i6t)
i8-/) 5 +t t' 9/ 65+ i ) '+7 7 ( ,itt, i6 , 6* /6 t' )t )) 5i)t i9 ti/6 i6 t'
)()t 8.
I6 t' - ) 6t )t 5( t' i'i*' i) 8/ t'+6 ) 7 6 ti8 ) t' +5i ) /
t' +--,i 5 ,/+5 / 1%0 88. Eii,, 9 *+ ) 5 9( + )i6' , ,/+5 / 40.# :N
4 0#0 :< .
Transportation Division 1#
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Fig.6.1. Fi6it " , 8 6t 5i)* ti=+ti/6 / -+7 8 6t ) *ti/6 / S/i, A
K
.1 Bou%/ar Co%/itio%s
F/ +--,i*+ti/6 / + i6it " , 8 6t 8/5 , i6 t' -+7 8 6t +6+,()i) + i7 ",+( 5
)()t 8 / i6 i6it ?t 6t '+) 9 6 5 * 5 t/ + )()t 8 '+7i6< i6it 5i8 6)i/6).
Fi< &.1 )'/>) + t(-i*+, 2D +?i)(88 t i* i6it " , 8 6t 8/5 , / t' -+7 8 6t
)ti6< /6 ) 9< +5 S/i, A. R/,, ) --/ t) > - /7i5 5 +,/6< t' +?i) / )(88 t (
t/ +*'i 7 t' */65iti/6 t'+t 9/t' t' )' + )t )) ) +65 +5i+, 5i)-,+* 8 6t) + +,t/ = /. Si8i,+ ,( t' /,, ) -" -/ t) > - /7i5 5 +,/6< t' i
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.0 IN!UT DATA FOR FINITE+ELE"ENT "ODELIN#
T' i6it " , 8 6t FE +6+,()i) / t' -+7 8 6t )()t 8 >+) *+ i 5 / t 9(
)i6< t' )t+65+ 5 -+*:+< ANS S 8-,/(i6< t' 8 ,ti,i6 + "i)/t /-i* ,+)t/"-,+)ti*
'+ 5 6i6< 8/5 , >'i*' 5 i6 )t' */6)tit ti7 ,+ti/6)'i- / t' 8+t i+,) i67/,7 5.
P /- ti ) / 5i 6t ,+( ) i 5 / *+ (i6< / t t' FE +6+,()i) + t'
8/5 , ) / ,+)ti*it( P/i))/6 +ti/ +65 t' )t ))")t +i6 5+t+. It )'/ ,5 9 6/t 5 t'+t t'
i6iti+, t+6< 6t 8/5 , ) i) 6 5 5 /6,( t/ i6iti+,i= t' it +ti7 - /* 5 +65 +*t +,
* 8 ,+ti7 )t ))" )t +i6 5+t+ < 6 +t 5 - t/ t' 65 / + -+ ti* ,+ ,/+5 i6* 8 6t +
) 5 i6 t' +6+,()i) / t' ) 9) 6t ,/+5 i6* 8 6t. C'+65 + +65 M '65i +tt+ 2002-/ t 5 t'+t */6 i6 8 6t i6 t' -+7 8 6t 5 t/ )'/ ,5 ) +65 ) / 65i6< )/i,) i) i6
t' +6< / 2& 40 :P+. H 6* t i+?i+, t )t) > */65 *t 5 /6 6 i6 / * 5 +65
i6 / * 5 ) 9< +5 )/i,) +) > ,, +) /t' -+7 8 6t ,+( ) +t + */6 i6i6< - )) / 40
:P+. Fi */65 *t 5 /6 +,, t' ) -+7 8 6t ,+( 8+t i+,) +t
+ */6 i6i6< - )) / 40 :P+. T' 7+, ) / i6iti+, t+6< 6t 8/5 , ) / +,, t'
-+7 8 6t ,+( ) > )ti8+t 5 i6 t' )+8 8+66 +) ?-,+i6 5 / ) 9< +5 )/i,) +65
+ - ) 6t 5 i6 T+9, !.1 +,/6< >it' t' 7+, ) / P/i))/6 ) +ti/ +)) 8 5 /
5i 6t ,+( 8+t i+,).
Transportation Division 20
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Figure. 7.1. D 7i+t/ )t )) 7 ) ) +?i+, )t +i6 * 7 ) / 6 i6 / * 5 +65 i6 / * 5 ) 9< +5 )/i,) +t*/6 i6i6< - )) / 40 :P+
Table 7.1. Values of Initial Tangent Modulii for Pa ement Materials
Transportation Division 21
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.0 BENEFITS OF REINFORCE"ENT
A 8 *'+6i)ti*" 8-i i*+, 5 )i)
1. T' )+8 ) 7i* ,i / t' i6 / * 5 +65 6 i6 / * 5 -+7 8 6t ) *ti/6). It
>/ ,5 , +5 t/ 5 *ti/6 i6 ) 99+) 9+) / DBM t'i*:6 )) +65 '+) 9 6 ?- )) 5
i6 t 8) / LTR +65
2. T' )+8 -+7 8 6t ) *ti/6) / 6 i6 / * 5 +65 i6 / * 5 ) 9< +5 . It >/ ,5
) ,t i6 8/ ) 7i* ,i / t' -+7 8 6t 5 t/ i9 i6 / * 8 6t +65 '+) 9 6
?- )) 5 i6 t 8) / TBR.
St *t +, +i, ) i6 + , ?i9, -+7 8 6t + / t>/ t(- ) 6+8 ,( ) +*
* +*:i6< +65 tti6
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
* it i/6. T' IRC 3!"2001 */6)i5 ) + t 5 -t' / 20 88 t/ 9 + +i, * it i/6
/ , ?i9, -+7 8 6t +65 t' tti6< i6 E . & i) ) 5
Fig . 8.1. Variation of ertical compressi e strain at top of subgrade !it" subbaset"ic#ness
&
>' N 20 6 89 / * 8 ,+ti7 )t+65+ 5 +?, ) t/ - /5 * + tti6< / 20 88
+65 v 7 ti*+, */8- ))i7 )t +i6 +t t/- / ) 9< +5 .
; ti*+, */8- ))i7 )t +i6 5 7 ,/- 5 +t t' t/- / 6 i6 / * 5 +65 i6 / * 5
) 9< +5 ) >+) *+-t 5 / 5i 6t t'i*:" 6 )) ) / ) 99+) 9+) +65 DBM. F/
Transportation Division 23
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S/i,) A +65 B t'i*:6 )) / t' 9+) */ ) / 2%0 88 +65 DBM t'i*:6 )) / 200
88 > 8+i6t+i6 5 */6)t+6t +65 t' ) 99+) t'i*:6 )) >+) 7+ i 5. A+) 7+ i 5 / + */6)t+6t ) 99+) / &10 88 +65
9+) t'i*:6 )) / 2%0 88. T' 7 ti*+, */8- ))i7 )t +i6) 5 7 ,/- 5 +t t' t/- /
t' ) 9< +5 i6 6 i6 / * 5 +65 i6 / * 5 -+7 8 6t ) *ti/6) > 7+, +t 5 /
+,, t' ) +,t 6+ti7 ) /8 ,+)t/"-,+)ti* i6it " , 8 6t +6+,()i). A )i8i,+ ? *i) >+)
+,)/ 5/6 / S/i, C. Fiit' ) 99+) 9+) +65 / ) 9< +5 S/i,) A +65 B
)- *ti7 ,(. T' ) -,/t) > ) 5 t/ )t 5( t' 9 6 it) / i6 / *i6< t'
) 9< +5 )/i,) i6 t 8) / LTR +65 TBR. T' TBR itt 6 i6 t'+ti/6 / 8 +)
!
>' N 6 89 / t + i* -+)) ) i 5 / - /5 *i6< + -+7 8 6t ) +*
5 / 8+ti/6 tti6< - t/ t' +,,/>+9, t 5 -t' +65 ?- )) 5 i6 88 +65 R +65
U 5 6/t i6 / * 5 +65 6 i6 / * 5 -+7 8 6t ) *ti/6).
Transportation Division 24
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Fig. 8.2. Variation of ertical compressi e strain at top of subgrade!it" base t"ic#ness
Per#ins and Edens $%&&%$ e aluated t"e benefits of
reinforcement in terms of 'T( for t"e e)ui alent ser ice life of t"e
pa ement *
It can be defined as
+ -
DU +65 D R 9+) */ ) t'i*:6 )) ) / 6 i6 / * 5 +65 i6 / * 5 -+7 8 6t
) *ti/6). A) 6/ ) -+ +t +ti/6 i) +7+i,+9, i6 t' ,it +t t/ ,+t t' 7 ti*+,
*/8- ))i7 )t +i6 +t t' t/- / t' i6 / * 5 ) 9< +5 t/ t' 6 89 / ,/+5
- titi/6) 6 * ))+ ( t/ - /5 * t' +,,/>+9, tti6< E .# > ) 5 / 9/t'
6 i6 / * 5 +65 i6 / * 5 ) 9< +5 .
Transportation Division 2%
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
U)i6< E ). # +65 $ t' 9 6 it) / i9 i6 / * 5 ) 9" < +5 )/i,) i6 t 8) /
?t 6)i/6 i6 ) 7i* ,i / + , ?i9, -+7 8 6t *+6 9 ?- )) 5 +)
$
T' 7 ti*+, */8- ))i7 )t +i6 v +t t' t/- / t' ) 9< +5 *+6 9 /9t+i6 5
t' / / /t' t(- ) / )/i,). R ) ,t)
/9t+i6 5 /8 ) *' + )t 5( + ) 88+ i= 5 i6 T+9, #.1.
Transportation Division 2&
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
T' ) ) ,t) )'/> t'+t / + */6)t+6t t'i*:" 6 )) / 9+) +65 DBM t'
t'i*:6 )) / t' ) 99+) 5 * ) 9( 3#.%2 2&.23 +65 1&.&! )- *ti7 ,( / S/i,) A
B +65 C / +,8/)t t' )+8 ) 7i* ,i / i6 / * 5 +65 6 i6 / * 5 -+7 8 6t).
Si8i,+ /-ti/6) *+6 +,)/ 9 ? *i) 5 / 9+) +65 DBM. T' / t' , ?i9,
-+7 8 6t *+6 9 5 )i
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
3.0 CONCLUSIONS
T>/ i8-/ t+6t +)- *t) '+7 9 6 i67 )ti'i*'
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Mechanistic Approach for Fiber Reinforced Flexible Pavements
REFERENCES
S+ti)' C'+65 + M.N. ;i,+5:+ +65 P +)'+6t P.N+< +, Mechanistic Approach
for Fiber Reinforced Flexible Pavements ! Q/ 6+, O T +6)-/ t+ti/6
E6
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Mechanistic Approach for Fiber Reinforced Flexible Pavements