Question #$1(5$ pts$.)$:

A sieve analysis was performed on a sample of aggregate for use in an asphalt pavement, with the results shown below:

Sieve Size $($in$.)$

Amount retained $(g)$

$\backslash$table$[[\frac{1}{2},\frac{3}{8},4,$No$.8,16,30,40,50,100,200,$pan$],[,,,,,,,,,,],[0,96\mathrm{.}75,92,193\mathrm{.}8,319\mathrm{.}5,411\mathrm{.}5,435\mathrm{.}8,353\mathrm{.}5,264,169\mathrm{.}5,143]]$

Question #$2(5$ pts$.)$:

The aggregate in Question $1$ will be mixed with asphalt binder to create a pavement to be used in Long Island. The $7-$day average high air temperature is expected to be $99$ degrees F $($std$.$ dev. $3\mathrm{.}0$ deg. F$),$ and the average low temperature in the pavement is expected to reach $12$ degrees $F($std$.$ dev. $1\mathrm{.}5$ deg. F$).$ The pavement will be used to repave a busy rural highway. Address the following:

a$)$ Determine the performance grade of the asphalt that should be used for this pavement with $98\%$ reliability. $(2$ pts$.)$

b$)$ Discuss the general considerations for ductility of the binder for the conditions stated. $(1$ pt$.)$

c$)$ If a penetration test yields a penetration of $11mm$ into the asphalt, list its penetration grade, viscosity grade, and ductility. $(1$ pt$.)$

d$)$ Discuss the suitability of the addition of lime to the pavement mix. $(1$ pt$.)$