Question $5$:

A hot mix asphalt $($HMA$)$ surface course $(38$ mm thick$)$ is being designed for a project expected to carry $\backslash (20,000,000\backslash )$ ESALs over the life of the pavement. The design uses a $12\mathrm{.}5$ mm nominal maximum aggregate size. Three stockpiled aggregates are used in the mix, with their percentages and bulk specific gravities $($Gsb$)$ provided in Table $1$ below:

Table $1$: Aggregate Blend Details

$-$ Additional properties of the compacted HMA surface mix are as follows:

$-$ Bulk Specific Gravity of the Mixture $\backslash (\backslash$left$(\backslash$mathrm$\{$G$\}\_\{\backslash$mathrm$\{$mb$\}\}\backslash$right$)=2\mathrm{.}425\backslash )$

$-$ Theoretical Maximum Specific Gravity $\backslash (\backslash$left$(\backslash$mathrm$\{$G$\}\_\{\backslash$mathrm$\{$mm$\}\}\backslash$right$)=2\mathrm{.}521\backslash )$

$-$ Asphalt Binder Specific Gravity $\backslash (\backslash$left$(\backslash$mathrm$\{$G$\}\_\{\backslash$mathrm$\{$b$\}\}\backslash$right$)=1\mathrm{.}015\backslash )$

$-$ Asphalt Content $\backslash (\backslash$left$(\backslash$mathrm$\{$P$\}\_\{\backslash$mathrm$\{$b$\}\}\backslash$right$)=5\mathrm{.}0\backslash \%\backslash )($by mass of total mix$)$

$-$ Percent passing No$.\backslash (200=5\mathrm{.}3\backslash \%\backslash )$

Based on the information given for this problem, perform the folooiwng tasks:

$1.$ Calculate the bulk specific gravity of the combined aggregates

$2.$ Calculate the effective specific gravity of the aggregate blend

$3.$ Calculate the absorbed asphalt for the mixture

$4.$ Calculate the effective asphalt for the mixture

$5.$ Calculate the percent voids in the mixture

$6.$ Calculate the percent voids in mineral aggregate for the mixture

$7.$ Calculate the percent voids filled with asphalt for the mixture

$8.$ Calculate the dust$-$to$-$asphalt ratio

$9.$ Check if the current mix properties satisfy Superpave specifications.

$(5$ Points$)$

$(5$ Points$)$

$(4$ Points$)$

$(4$ Points$)$

$(5$ Points$)$

$(4$ Points$)$

$(4$ Points$)$

$(4$ Points$)$

$(5$ Points$)$