$5$:$03$

CENG$+5350+$Homework$+4$

Selection of Design Aggregate Structure for the Intermediate Course

Trial aggregate blend information has already been established for the intermediate course. It has been verified that all trial blends meet the consensus and gradation requirements of Superpave. The corresponding gradation and specific gravity information for the trial aggregate blends is given in Table $2.$ Data corresponding to initial mixture trials using the three gradations is given in Table $3.$

Table $2.$ Trial Aggregate Gradations for the Intermediate Course

$\backslash$table$[[$Sieve Size $(mm),$Trial Gradation $1,$Trial Gradation $2,$Trial Gradation $3],[50,100,100,100],[37\mathrm{.}5,100,100,100],[25,100,100,100],[19,99,99,100],[12\mathrm{.}5,93,93,94],[9\mathrm{.}5,86,86,88],[4\mathrm{.}75,52,54,60],[2\mathrm{.}36,28,32,36],[1\mathrm{.}18,20,23,25],[0\mathrm{.}6,13,15,18],[0\mathrm{.}3,7\mathrm{.}7,8\mathrm{.}6,11],[0\mathrm{.}15,4\mathrm{.}5,4\mathrm{.}9,7\mathrm{.}0],[0\mathrm{.}075,3\mathrm{.}0,3\mathrm{.}3,4\mathrm{.}6],[$Gsb$,2\mathrm{.}739,2\mathrm{.}733,2\mathrm{.}735]]$

Table $3.$ Initial Compaction Trials with Aggregate Blends

$\backslash$table$[[,,$Gradation $1,$Gradation $2,$Gradation $3],[,$Gyrations,Sample $1,$Sample $2,$Sample $1,$Sample $2,$Sample $1,$Sample $2],[,,$Ht$.($ mm$),$Ht$.($ mm$),$Ht$.($ mm$),$Ht$.($ mm$),$Ht$.($ mm$),$Ht$.($ mm$)],[N$ ini,$7,123\mathrm{.}87,122\mathrm{.}94,120\mathrm{.}14,120\mathrm{.}38,118\mathrm{.}05,117\mathrm{.}89],[N$ des,$75,111\mathrm{.}31,111\mathrm{.}61,109\mathrm{.}23,109\mathrm{.}45,107\mathrm{.}12,107\mathrm{.}01],[N$ max,$115,109\mathrm{.}64,110\mathrm{.}04,107\mathrm{.}76,107\mathrm{.}96,105\mathrm{.}69,105\mathrm{.}59],[,$Pbi,$4\mathrm{.}9],[,$Gmb$,2\mathrm{.}317,2\mathrm{.}310,2\mathrm{.}364,2\mathrm{.}356,2\mathrm{.}407,2\mathrm{.}419],[,$Mass $($g$),4454\mathrm{.}8,4458\mathrm{.}1,4461\mathrm{.}4,4462\mathrm{.}2,4459\mathrm{.}6,4455\mathrm{.}3],[,$Gmm$,2\mathrm{.}555,2\mathrm{.}549,2\mathrm{.}546,,,]]$

Calculate the corresponding volumetric properties $(\%$Air, $\%$ VMA, $\%$ VFA, DP$,\%G_{mm}$ at $N_{\text{i}\text{n}\text{i}}$ and $\%G_{mm}$ at $N_{\text{m}\text{a}\text{x}})$ for the initial trials and summarize using the tables given below.

$\backslash$table$[[,$Gyrations,,dation $1,,$dation $2,,$dation $3],[,,Gmb,\%Gmm,Gmb,\%Gmm,,\%Gmm$