Question

Problem-6 An asphalt concrete mixture is to be designed according to the Marshall procedure. A PG 64-22 asphalt cement specific gravity of 1.00 is to be used. A dense with a aggregate blend is to be used, with a maximum aggregate size of 3/4 in. and a bulk specific gravity of 2.786. The theoretical maximum specific gravity of the mix at asphalt content of 5.0 % , is 2.490. Trial mixes were made with average results as shown in table below. Leturer-Amas Abdumajeed Tk nternational Untersty spreadsheet program, plot the appropriate six graphs necessary for the Marshall procedure and select the Using a optimum asphalt content, using the Asphalt Institute design criteria for medium traffic (see Table 9.14). Assume a design air void content of 4% when using Table 9.15 Asphalt Content (P) (% by Weight) Bulk Specific Gravity (Gmb) Stability, Ib Flow, 0.01 in. 3.50 2.294 1600 8 4.00 4.50 2.396 2.421 1980 9 2130 11 5.00 5.50 2.416 1600 14 2.401 1280 20 Tek bernaeienal nbershy

Answer 1

catculate the effective specihic qravity of the aggregate Gse Ps PD Gb Gmm here Pe Pacent ct: OF the aggregate Specific gravity Gmm= theoYeticai moo. of the asphalE Cement P pCent cot of aSphait cement Gb- Specific gravity of the oSphaIt cement &uoStitue Obn Cuub

GSe Pr Gmm Gb 100-4.5 96.5 L0.160-4.5 GSe Q673 the asphait content calculate the Gmm for al OO Gmm = PeS 3 (loo-3.5) TEЧЬ

GEe= 678 (Grole5 I00 t00-3.5 3.5 + 2 678 IOO 36 03+3.5 IOO 39.53 - 250 ASphait contentfor Gmm)u Gb Gse 00-4 268 10 o 39.847

Cm)y2509 ASphalt content for.4.5% SubStitue fs =(Ioo-4.5) Gb= 1 Gse= .678 (Gmm5 loo-45 +4.5 2.678 IOO 35 66+ L5 Lo 160 489.-

ASphalt content for 5, SubStitute PS= (oo-5) Gh 1 Gse .678 Grm)5x IOO loo-5 2.678 OO 36.66 +5 HO474 2.470 Sphait content for 55 &ubstitute

Ps= (o0-5.5) Ph=55 Чъ- 1 Gm)5.5 OO 100-5.5 2.678 IOO 35281+5.5 OO 4о781 2.45) calculate the void Yatio in the totaj mir -for asphait cement o1-Gmb OQ1 -WLA Gmm

ASphar coteot for 35% a.294 VTM3.5 2.539 (OOx o.Oq Q9 ASphait cootent for 4 VTMuy 2.396 Q50G ASphalt content for 5. VTM 5 2.489 OQ73 OOX

ASphait contert for 5 VTM5 = Q.LI6 -IOOx o OQ18 -186 ASphart content for 5-5% 2LO VIM5:5 = looxo O04 = 2.039 calculate the voidS in Mineral og9regate for the asSphait content X VMA = IC0* GSb ASphart content for 35 2.Q9LX (to0-3:5) VMA 3.5 = 1OO Q.86

5 100- 79, I5G ASohait content for Lt's VMALI=(C0- 396x (r00-4) 2786 (O0-82.56 - ASphait content for 4 5% VMA 4.5= ioo- Q.48x (Coo-4.5) 2786 iOO- :988 (7.O ASphait content for 5 VMAS Q.LI6X (o-5) 2,786 O0-8 38 3 -1.616

ASphait content for 5.5 VMA5.5= I00- GSb HOI x GO0-5:5) = (00- 286 (00-B. Ly 1855 caiculate the voids fillet with asphalt VFA = 100x (VMA- VTM) VMA ASphait content for 3:5v. VFA 3.5 IOOx 20.54-9.29) 2o5 1O0x O5L -5니-763

(11 ASphait content for 4 VFAuIOOX (17. L38-4 503) L36 1OOXO.4) 74168 ASphait content for 4.5% VFA4. 5 = IOox ( (7.011-Q3 Q) 101 = IOOXO 39 83.939 ASphait aontent for 57. VFA5= I0Ox 616-2186) 919 t (OOXO 875 8375

ASphait conteot for5 5 VfA5.5 loox (18.55-Q 039) 18 55 I0Ox O390 Tabulate the obtained valuesof VTM, VMĄ and vFA as ShoconbRIOw corrected floco Gm Se VTM VMA VA Gmb 9.Q93 20-5415475 DS16 3 5 4 1600 4.5031.438 168 Q.396 1980 30 5 LQ Q.479698 73017063.93 a.L16 1600 .461 1831.616875P QoQ.443 5.5 2039 1855903 B0 J

(r3 Drau the gYaph betcoen VTM along verticaI axis and R along horizontal axi S 3.5 5.5 4.5 Q-I32| Q-183 2.039 H.503 VTM peraent of aSphalt the value of vOid io totai mix (VTM) at er iS5

OYauo the qaph blo Stabi lity alonq v2rticau caxiS and along horizontal as 5 5.5 U5 3.5 Corected 1600 Q130 1980 O201 1600 Stability Qoco IO00 500 2 3 5 Pereent of aSphait ;. the vaiue cf corrected Stability atthe 4 iS1980

DYoco the qraph blw flow 4P 3.5 4.5 5.5 HiOw 20 15 IO 6 .he value of fioo at the LHy iS9 OYaco the gaph blo buik Specificgravity 3.5 5.5 나5 D'Q94 396 ui 2.416

242 2.38 236 2.3 3 1 the value of bulk Specificgxavity o at iS 396 DYaco the qraph blw VMA Ph 55 5 5 3.5 1616 18559 17니38 20:54 VMA C

15 0 5 The value ot VMA 4% R 438 yco the groph blo VFA &P 35 5.5 33930 87.590 89.013 | VF A| 54263|4168

(18 qo go 60 50 3 Pecent of aSphat the value of vfA otthe 4Y. iS4168 of VTM Dotermine the asphalt content at 47. gpd check the design criteria voids filled coithasphat

values obtained fYom gvaph 5 Stablity 09b1 floco 2396 Gmb 33 VMA 166 VFA The design asphat content iS 4.5