Q$.$II $/(25\%)$

Based on the data shown, assume having $25$ million ESAL and a $12\mathrm{.}5mm$ nominal maximum aggregate size.

a$)(17\mathrm{.}5\%)$ Determine the design binder content for a Superpave mix design and the design values at that

$\backslash$table$[[$Asphalt Content Trail$],[$Data$,1,2,3,4,],[P_b(\%),5\mathrm{.}5,6,6\mathrm{.}5,7,],[G_{mb},2\mathrm{.}351,2\mathrm{.}441,2\mathrm{.}455,2\mathrm{.}469,],[G_{mm},2\mathrm{.}57,2\mathrm{.}558,2\mathrm{.}538,2\mathrm{.}51,],[G_b,1\mathrm{.}025,1\mathrm{.}025,1\mathrm{.}025,1\mathrm{.}025,],[P{s}_s(\%),94\mathrm{.}6,94\mathrm{.}1,93\mathrm{.}6,93\mathrm{.}1,],[Pd(\%),4\mathrm{.}5,4\mathrm{.}5,4\mathrm{.}5,4\mathrm{.}5,],[G{s}_b,2\mathrm{.}688,2\mathrm{.}688,2\mathrm{.}688,2\mathrm{.}688,],[h_{\text{i}\text{n}\text{i}}(mm),125,131,126,130,],[h_{\text{d}\text{e}\text{s}}(mm),115,118,114,112,]]$

content.

b$)(7\mathrm{.}5\%)$ Write the interpolation formula for $\%$VTM versus Percent binder and solve it for $\%VTM=4$

Solution:

a$)$

$P_b$ VTM VMA VFA $G_{mm}$@$N_{\text{i}\text{n}\text{i}}\frac{D}{?}$ B ratio