2.5 Details of Asphalt Institute Method of Design
2.5 Details of Asphalt Institute Method of Design
of Flexible
of Flexible Pavements
Pavements
•
• Historical Development of AI MethodHistorical Development of AI Method •
• 1956 – 19691956 – 1969 1 1stst to 8to 8thth Editions – Empirical Approach Editions – Empirical Approach •
• 19701970 Revised 8 Revised 8thth Edition - Edition - Empirical ApproachEmpirical Approach •
• Thickness Design – Full Depth Asphalt Pavement Structures for Highways andThickness Design – Full Depth Asphalt Pavement Structures for Highways and
Streets, The Asphalt nstitute, !anual Series "# $!S"#% Streets, The Asphalt nstitute, !anual Series "# $!S"#%
•
• ther !ersionsther !ersions
19811981 9 9thth Edition, M-E Approach Edition, M-E Approach
19911991 Revised 9 Revised 9thth Edition Edition
19991999 9 9thth Edition, Reprint Edition, Reprint
20012001 Revised 9 Revised 9thth Edition Edition
20082008 Revised 9 Revised 9thth Edition Edition •
• Thickness Design – Asphalt Pavement for Highways and Streets, The AsphaltThickness Design – Asphalt Pavement for Highways and Streets, The Asphalt
nstitute, !anual Series "# $!S"#% nstitute, !anual Series "# $!S"#%
"
"
•
• A Method is .sed to desi%n asphalt pavements composed o/ vario.sA Method is .sed to desi%n asphalt pavements composed o/ vario.s com"inations o/&
com"inations o/& a
a asphasphalt coalt concrncrete ete s.r/s.r/ace aace and "and "asese
"
" Em.Em.lsielsied asd asphalt phalt s.r/s.r/ace aace and "and "asese
c
c 3ntr3ntreateeated a%d a%%r%re%ate%ate "ae "ase ase and s.nd s."-"a"-"ase4se4
&mulsi)ed asphalt
&mulsi)ed asphalt is simply a suspension is simply a suspension of small asphalt cement glo&ules in of small asphalt cement glo&ules in waterwater,, which is assisted &y an emulsifying agent $such as soap%' The emulsifying agent which is assisted &y an emulsifying agent $such as soap%' The emulsifying agent assists &y imparting an electrical charge to the surface of the asphalt cement glo&ules assists &y imparting an electrical charge to the surface of the asphalt cement glo&ules so that they do not com&ine $(o&erts et al', #))*%'
Design Principles
Design Principles
•
• #avement is re%arded as#avement is re%arded as M*(+I,(A-&&D &(A/+I0 /-/+&MM*(+I,(A-&&D &(A/+I0 /-/+&M44 •
• $esi%n #roced.re is "ased on Esta"lished heor', E!perience, est $ata and a$esi%n #roced.re is "ased on Esta"lished heor', E!perience, est $ata and a
omp.ter #ro%ram $AMA ere .sed to develop a comprehensive pavement omp.ter #ro%ram $AMA ere .sed to develop a comprehensive pavement desi%n proced.re4
desi%n proced.re4
•
• Materials in each la'er are characteried "' Mod.l.s o/ Elasticit', E and #oisson:sMaterials in each la'er are characteried "' Mod.l.s o/ Elasticit', E and #oisson:s
Ratio, ;4 Ratio, ;4
•
• ra<c is e!pressed in terms o/ra<c is e!pressed in terms o/ epetitions of '% 1epetitions of '% 1 =18,000 l" sin%le a!le load=18,000 l" sin%le a!le load
applied to the pavement on to sets o/ d.al tires i4e4
applied to the pavement on to sets o/ d.al tires i4e4 &/A( 0oncept&/A( 0oncept •
• Full Depth Asphalt 0oncrete (a3er 4 , (a3ered /3stemFull Depth Asphalt 0oncrete (a3er 4 , (a3ered /3stem •
• 3ntreated A%%re%ates & - >a'ered ?'stem3ntreated A%%re%ates & - >a'ered ?'stem •
• ?."%rade >a'er =the loest la'er?."%rade >a'er =the loest la'er nnite in the @erticall' $onard and nnite in the @erticall' $onard and
oriontal $irections oriontal $irections
•
• Bther >a'ersBther >a'ers inite hic*ness inite hic*ness nnite in oriontal $irections4 nnite in oriontal $irections4 •
Design 0riteria
Design 0riteria
•
• oriontal ensile ?train, Coriontal ensile ?train, Ctt on the 3nderside o/ the >oest Asphalt on the 3nderside o/ the >oest Asphalt Do.nd >a'er sho.ld "e ithin the #ermissi"le @al.e4 / the ?train is Do.nd >a'er sho.ld "e ithin the #ermissi"le @al.e4 / the ?train is E!cessive
E!cessive rac*in% o/ the reated >a'er rac*in% o/ the reated >a'er ati%.e ail.re Bcc.rs ati%.e ail.re Bcc.rs
•
• @ertical ompressive ?train, C@ertical ompressive ?train, Ccc at the ?.r/ace o/ the ?."%rade >a'er at the ?.r/ace o/ the ?."%rade >a'er sho.ld "e s.ch that E!cessive #ermanent $e/ormation =R.ttin% sho.ld sho.ld "e s.ch that E!cessive #ermanent $e/ormation =R.ttin% sho.ld not
Fatigue 0riterion4 Fatigue 0rac6ing
he eF.ation /or /ati%.e criterion is&
f 7 %.%$#89:t;,.2#"9&;,%.'5<
Ghere,
• H/ I alloa"le no4 o/ repetitions o/ standard a!le load to control /ati%.e crac*in% • Jt I horiontal tensile strain at the "ottom o/ the asphalt la'er4
• E I d'namic mod.l.s o/ the asphalt mi!t.re
• he eF.ation /or limitin% the pavement de/ormation is&
d 7 ".85 x "%,# 9:c;,<.<$$
Ghere,
• HdI alloa"le no4 o/ repetitions to limit r.ttin% to 1247 mm /or the desi%n tra<c4 • Jc I vertical compressive strain on the s.r/ace o/ the s."%rade4
Permanent Deformation
• he eF.ation /or limitin% the pavement de/ormation is& d 7 ".85 x "%,# 9:c;,<.<$$
Ghere,
• HdI alloa"le no4 o/ repetitions to limit r.ttin% to 1247 mm /or the
desi%n tra<c4
• Jc I vertical compressive strain on the s.r/ace o/ the s."%rade4
• Resilient mod.l.s o/ .ntreated %ran.lar material varies ith stress conditions4
Design Procedures
14 np.t data&
• Tra+c loading, SA
• Su&"grade resilient modulus, !( • Surface and &ase type
24 $etermine desi%n thic*ness /or the specic conditions descri"ed "' the inp.t data4
4 #repare sta%e constr.ction desi%n
4 Ma*e economic anal'sis o/ vario.s sol.tions4 54 ?elect the nal desi%n
+ra=c Anal3sis
• n pavement desi%n, n.m"er o/ repetition o/ each a!le load %ro.p d.rin% the desi%n period4
• he initial dail' tra<c in to directions over all tra<c lanes m.st "e m.ltiplied "' directional and lane distri".tion /actors to o"tain the initial tra<c on desi%n lane4
• he tra<c loadin% /or the A method is the E?A> on the desi%n lane anticipated over the desi%n li/e the pavement4
• >oad repetitions, e!pressed in terms o/ an 18-*ip =80-*H sin%le-a!le load, are determined /rom tra<c estimates "' .sin% AA?B eF.ivalent /actors /or a str.ct.ral n.m"er ?H o/ 5 and a terminal servicea"ilit' inde!, pto/ 2 45
Determination of Design &/A(
• he proced.re /or determinin% the desi%n E?A> can "e s.mmaried as /ollos&
14 Estimate the n.m"er o/ vehicles o/ diKerent t'pes, s.ch as passen%er cars, sin%le-.nit tr.c*s =incl.din% ".ses, and m.ltiple .nit tr.c*s o/ vario.s t'pes, e!pected on the proposed /acilit'4
24 $etermine the n.m"er o/ each t'pe o/ tr.c* on the desi%n lane d.rin% the rst 'ear o/ tra<c4
or to-lane hi%ha's, the desi%n lane ma' "e either lane o/ the pavement /acilit'4 3nder some conditions, more tr.c*s ma' travel in one direction than in the other 4 n man' locations, heavil' loaded tr.c*s ill travel in one direction, ".t empt' tr.c*s in the other4
4 $etermine a tr.c* /actor /or each vehicle t'pe 4 +ruc6 factor is dened as the n.m"er o/ 18-*ip =80-*H a!le load applications contri".ted "' one passa%e o/ a tr.c*4
4 he eF.ivalent 18-*ip =80-*H sin%le-a!le load applications can "e o"tained directl' "' m.ltipl'in% the total n.m"er o/ tr.c*s ith the tr.c* /actor /or all tr.c*s4 or the %iven desi%n period, nd a sin%le %roth /actor /or all tr.c*s or separate /actors /or each tr.c* t'pe, as appropriate 4
54 M.ltipl' the n.m"er o/ tr.c*s o/ each t'pe "' the tr.c* /actor and the %roth /actor and s.m the val.es determined to o"tain the desi%n E?A> 4
/ub,grade &valuation
• DR
/ubgrade /trength &valuation
• he correlation considered reasona"le /or ne %rained soils ith a soa*ed DR o/ 10 or less is&
+ra=c (evel 9&A(; Design /ubgrade !alueB ?
10 or >ess 60
Deteen 10 and 106 75
106 or More 8745
AI C Design 0harts
• he A desi%n proced.re is "ased on a series o/ charts that ere prod.ced /rom comp.ter pro%rams /or la'ered elastic s'stems4
• Reasona"le properties ere ass.med /or the properties o/ the earin% la'er and o/ the "ase and s.""ase co.rses4
• h.s, the desi%n varia"les treated in the anal'sis o/ a %iven pavement t'pe are s."%rade MR and tra<c E?A> /or temperat.res, MAA =7, 1545 and 20
Minimum +hic6ness of HMA over &mulsi)ed
Asphalt >ases
+ra=c (evel &/A( +hic6ness for +3pe I Mix+3pe II +3pe III
n4 mm n4 "%< 140 50 2 "%5 145 50 2 "%8 240 75 "%$ 240 100 "%$ 240 10 5
Minimum +hic6ness of Asphalt 0oncrete
over *ntreated Aggregate >ase
+ra=c &/A( +ra=c 0ondition Minimum
+hic6ness of Asphalt 0oncrete 9mm;
"%< >i%ht tra<c, par*in%
lots, drivea's and li%ht tra<c r.ral roads
75L "%< but less than "%8 Medi.m tr.c* tra<c 100 "%8 Medi.m to heav' tr.c* tra<c 125
Lor /.ll depth asphalt concrete or em.lsied asphalt pavements a minim.m thic*ness o/ 100 mm applies4
Numerical Example - 1
A pavement has to &e designed for a certain length of e-isting single lane carriageway road from the following considerations.
a%/urrent tra+c of 01 k2 e3uivalent single a-le load 4 1'5* - A67day &%Design period 4 #1 years
c%/onstruction period 4 #0 months from the last tra+c count d%Tra+c growth rate 4 08
e%09':th /;( values of su&grade soil from seven samples collected 4 :8 f% lastic modulus of asphalt concrete for surface course, ac 4 5:11 !Pa g%lastic modulus of emulsi<ed sta&ili=ed &ase, & 4 #511 !Pa
h%lastic modulus of granular su&&ase $/;( > ?18%, s& 4 #:1 !Pa
Draw the cross"section of <nal pavement layers considering the thickness of asphalt concrete on the surface course is not less than :1 mm'
Solution:
1 .m.lative Ho4 o/ ?tandard A!les to "e atered H I ! A ! $ or, 7 x Px D Here, # I 0426 ! EA>+da' r I 8 I 0408 n I 10 'ears ' I 18 months I 18+12 I 145 'ears
$ I 1 =Since a Single lane carriageway road =as per R& 7 – 2001
hen, 7 x %.28x"%x "
7 ".5< x &A(
2 8745th DR val.es o/ s."%rade soil /rom seven samples collected I
5
here/ore, $esi%n Resilient Mod.l.s o/ ?."%rade, Mr 7 "%. x 0>9?; =in M#a
I 104 ! 5 I 5".5 MPa
or 7 ".5< x &A( and Mr 7 5".5 MPaB /rom the %iven desi%n chart,
Full Depth of Asphalt 0oncrete 7 25% mm Ho, adopt
Ho, EF.ivalent thic*ness o/ em.lsied sta"ilied "ase co.rse, t &
I ! I ! 200
I 2554 mm
3se "<% mm thic* emulsi)ed stabiliEed base course
he em.lsied sta"ilied "ase co.rse eF.ivalent to %ran.lar s.""ase co.rse, t s&
I 255 – 10 I ""5 mm
5 hen , EF.ivalent thic*ness o/ %ran.lar s.""ase co.rse, =DR N 0 I ! I ! 115
7
•
A ?.r/ace o.rse, Eac I 2500 M#a 5% mm
"<% mmEm.lsied ?ta"ilied Dase o.rse,E
" I 1200 M#a
2% mmOran.lar ?.""ase o.rse, =DR N 0,E
s" I 150 M#a
28% mmB A0 Eac I 2500 M#a
?."%rade, DR I 5 ?."%rade, DR I 5
Numerical Example - 2
The results of eight tests produced the following su&grade resilient modulus values. @5'0, )?'5, *1'9, 05'#, :?'0, 91'1, *:'* and *)'1 !Pa' Design the e-i&le pavement using Asphalt nstitute !ethod for a single lane 5"way road to cater the tra+c with the following considerations.
a% ;ase tra+c of 01 k2 e3uivalent single a-le load 4 0'5 - #1@ SA67year
&% Design period 4 #1 years
c% /onstruction period 4 #: months from the last tra+c count d% Tra+c growth rate 4 98
e% !inimum depth of asphalt concrete wearing course with the modulus of elasticity of 5:11 !Pa 4 9: mm
f% mulsi<ed asphalt &ase course with the modulus of elasticity 4 #5:1 !Pa
Solution Hints:
14 #.t the test resilient mod.l.s val.es in descendin% order&
esilient ModulusB MPa umber eual to or greater than Percent eual to or greater than 942 1 = ! 100 I 1245 8241 2 = ! 100 I 2540 7840 = ! 100 I 745 6940 = ! 100 I 5040 6546 5 = ! 100 I 6245 6047 6 = ! 100 I 7540 5.' 7 = ! 100 I '$.5 248 8 = ! 100 I 10040 esilient ModulusB MPa umber eual to or greater than Percent eual to or greater than 942 1 8241 2 7840 6940 6546 5 6047 6 5.' 7 248 8
24 .m.lative Ho4 o/ ?tandard A!les to "e atered H I ! A ! $ or, 7 x Px D 7 G Here, # I 842 ! 10 E?A>+'ear r I 7 I 0407 n I 10 'ears ' I 15 months I 15+12 I 1425 'ears
$ I 1 =Since a Single lane carriageway road =as per R& 7 – 2001
4 8745th percentile resilient mod.l.s val.e /or the desi%n,
Mr 7 548 M#a
or 7 G and Mr 7 5".5 MPaB /rom the %iven $esi%n hart, B"tain
Full Depth of Asphalt 0oncrete 7 G
Numerical Example - 3
The results of eight tests produced the following su&grade resilient modulus values *511, 9011, 0011, ):11, #1111, ##?11, ##)11, and #?:11 psi' Design the e-i&le pavement using Asphalt nstitute !ethod for a single lane 5"way road to cater the
tra+c with the following considerations.
a% ;ase tra+c of 01 k2 e3uivalent single a-le load 4 1'55 - #1? SA67day &% Design period 4 #: years
c% /onstruction period 4 #0 months from the last tra+c count d% Tra+c growth rate 4 9':8
e% !inimum depth of asphalt concrete wearing course with the modulus of elasticity of 5*11 !Pa 4 9: mm
f% mulsi<ed asphalt &ase course with the modulus of elasticity 4 #511 !pa g% Branular su&"&ase course with the modulus of elasticity 4 #:1 !pa
h% Cse )1th percentile resilient modulus value for the design'
Solution Hints:
2. raphical determination of design subgrade resilient modulus #% $ < ' %
rom the a"ove plot, #%th percentile design subgrade resilient
modulus value for the design 7 $<'% x "%
Numerical Example - 4
A pavement has to &e designed for a speci<ed stretch of e-isting two lane road from the following considerations.
a% /urrent tra+c of 01 k2 e3uivalent single a-le load 4 #'10 - A67day &% Design period 4 #1 yrs'
c% /onstruction period 4 # year fro the last tra+c count d% Tra+c growth rate 4 98
e% !inimum /;( values in percent o&served on si- locations for that stretch of the road are. ?'?, :'1, *'5, @'#, :'@ and ?'1 respectively for su&grade'
f% Design resilient modulus of su&grade in !Pa is to &e taken as 09':th
percentile value as is re3uired fro the design' Eou are re3uired to design the pavement from Asphalt nstitute !ethod'
Draw the cross"section of <nal pavement layers considering the thickness of asphalt concrete on surface course is not less than :1 mm'
Solution Hints:
1 o determine the $esi%n ?."%rade Resilient Mod.l.s, Mr4
or this, ta".late the DR res.lts, determine the correct val.e /or the tra<c percentile and then convert the $esi%n DR val.e to the $esi%n ?."%rade Resilient Mod.l.s .sin% the e!pression,
Mr 7 "%. x 0> 9?; =in M#a
#.t the test DR val.es in descendin% order40> 9?; umber eual to or greater than Percent eual to or greater than 642 1 = ! 100 I 1647 54 2 = ! 100 I 4 540 = ! 100 I 5040 41 = ! 100 I 6647 4 5 = ! 100 I 84 0> 9?; umber eual to or greater than Percent eual to or greater than 642 1 54 2 540 41 4 5
• rom the interpolation or /rom the plot "eteen percent eF.al to or %reater than v s DR =, the '$.5th percentile Design /ubgrade 0> !alue 7 .2?.
• here/ore the $esi%n ?."%rade Resilient Mod.l.s, Mr I 104 ! 42 Mpa
2 .m.lative Ho4 o/ ?tandard A!les to "e atered
H I ! A ! $ or, 7 x Px D 7 G Here, # I 1408 ! EA>+da' r I 7 I 0407 n I 10 'ears ' I 1 'r4
$ I 0475 =Since two lane carriageway road =as per R& 7 – 2001
or 7 G and Mr 7 MPaB /rom the %iven $esi%n hart, B"tain Full Depth of Asphalt 0oncrete
7 G
hen, /ollo the steps as e!plained in #revio.s E!amples4 •
Numerical Example - 5
/alculate the accumulated e3uivalent single a-le load for a proposed 5" lane rural highway' The <rst year AADT will &e ?111, the annual growth rate 4 :8 and the design period 4 51 years' The proected vehicle mi-for that highway during the <rst year of operation is given in the ta&le &elow'
/.
!ehicle +3pes +ruc6
FactorB +F
? of !ehicles "; /ingle *nit +ruc6s
a% 5"A-le, @"Tire 1'15 #0
&% 5"A-le, *"Tire 1'5# 0
c% ?"A-le or !ore 1'9? @
2; +ractor /emitrailers and
0ombination
a% ?"A-le 1'@9 ?
&% @"A-le 1'0? #
Solution:
1 alc.lation o/ Oroth actor F 7 I I .%8
•
/ .
!ehicle +3pes o. of !ehicles
for "st -ear of peration +ruc6 FactorB +F F &/A( 9"; 92; 9; 9"; J 92; x 9; " ; /ingle *nit +ruc6s a % 5"A-le, @"Tire )0,::1 1'15 ??'1 * *:,#*# & % 5"A-le, *"Tire @?,011 1'5# ??'1 * ?,1@,*0* c % ?"A-le or !ore 5#,)11 1'9? ??'1 * :,50,:?1
/ample 0alculation4 !alues *nder 0olumn o."
=o"tained /rom the rst 'ear AA$ and the desi%n lane /actor • or 2-lane hi%ha', desi%n lane /actor, f d I 50 I 045
• For -ample. or 2,AxleB 8,+ire /ingle *nit +ruc6s, the Ho4 o/ @ehicles d.rin% rst 'ear o/ operation $i'e at the end of the construction% 7 AAD+ x 85 x ? of !ehicles x f d
I 000 ! 65 ! 0408 ! 045 I <B'%% and so on4
Numerical Example - 6
(esults of seven tests produced the following su&grade resilient modulus test values @@'0, *9'?, *0'?, :0'*, *0'?, #1*') and 01'1 !Pa' The tra+c classi<cation at the end of construction is proected as &elow.
o. of !ehicles 9both directions; +ruc6 Factor 000 0400 2050 04280 1000 14060 1100 04620 1200 14050
Design the e-i&le pavement using Asphalt nstitute !ethod for two lane two way road to cater the a&ove tra+c with the following details.
a% !inimum depth of Asphalt /oncrete wearing course with modulus of elasticity 5:11 !Pa 4 :1 mm
&% mulsi<ed asphalt &ase course with modulus of elasticity 4 #5:1 !Pa c% Branular su&"&ase course with modulus of elasticity 4 #:1 !Pa
d% Annual growth rate of tra+c 4 *':8 e% Design period 4 #5 yrs'
f% Cse 09':th percentile resilient modulus value for the design
Solution Hints:
14 Oroth /actor I I I "$.$ 24 alc.lation o/ E?A> • o. of !ehicles 9both directions; +ruc6 Factor roth Factor &/A( 9"; J 92; x 9; =1 =2 = = 000 0400 1747 2084 2050 04280 1747 997048 1000 14060 1747 181242 1100 04620 1747 11864 1200 14050 1747 2188642 +otal 9; 822.58 74 alc.lation o/ 8745th #ercentile $esi%n ?."%rade Resilient Mod.l.s, Mr #.t the test resilient mod.l.s val.es in descendin% order&
• #lot "eteen #ercent eF.al to or %reater than v s Mr to %et 8745th #ercentile $esi%n ?."%rade Resilient Mod.l.s4
• or and Mr /rom the %iven $esi%n hart, B"tain Full Depth of Asphalt 0oncrete. hen, /ollo the steps as e!plained in #revio.s
E!amples4 esilient ModulusB MPa umber eual to or greater than Percent eual to or greater than 10649 1 = ! 100 I 1428 8040 2 = ! 100 I 28457 684 = ! 100 I 2485 684 = ! 100 I 5741 674 5 = ! 100 I 7142 5846 6 = ! 100 I 85471 48 7 = ! 100 I 100 esilient ModulusB MPa umber eual to or greater than Percent eual to or greater than 10649 1 8040 2 684 684 674 5 5846 6 48 7
Numerical Example - 7
/alculate the accumulated e3uivalent single a-le load for a proposed 0"lane highway' Tra+c volume forecasts indicate that the average annual daily tra+c $AADT% in &oth directions during the <rst year of operation will &e #5,111 with the following vehicle mi- and a-le loads'
Gehicle mi- is e-pected to remain the same throughout the design life of the pavement' f the e-pected annual tra+c growth rate 4 @8 for all the vehicles
and the design period 4 51 years'
!ehicle +3pes (oad
&uivalenc3 Factors
? of !ehicles
#assen%er ars =45 *H+a!le 0400002 50
2-A!le ?in%le 3nit r.c*s =22425 *H+a!le
0400500
2-A!le ?in%le 3nit r.c*s =1415 *H+a!le
Solution:
"; 0alculation of roth FactorB F4
F 7 I I 2#.$'
2 #ercenta%e r.c* @ol.me on $esi%n >ane, f d I 5 =Ass.me PRan%e I 25 – 8 /or Ho4 o/
>anes
; o. of &uivalent Accumulated Axle (oads in the Design (ane 7 AAD+ x F x ? of !ehicles x 85 x x F&x f d
a #assen%er ars I 12000 ! 29478 ! 045 ! 65 ! 2 ! 0400002 ! 045 7 %.%%" x "%8
" 2-A!le ?in%le .nit r.c*s I 12000 ! 29478 ! 04 ! 65 ! 2 ! 0400500 ! 045 I %."#$ x "%8
c -A!le ?in%le .nit r.c*s I 12000 ! 29478 ! 0417 ! 65 ! ! 0401960 ! 045 I %.5'8$ x "%8
+otal &/A( 7 %.$'" x "%8
Note: t can "e seen that the contri".tion o/ passen%er cars to the E?A> is ne%li%i"le so, the passen%er cars can "e omitted hen calc.latin% E?A> val.es4