on$)(38$ Pts$)$ A six$-$lane divided road is to be designed to accommodate the following traffic conditions:

AADT for the first year $=10,000$ vpd; Traffic growth rate of $4\%$ annually

Design period $=15$ years; Desired Reliability $95\%$; TSI $=2\mathrm{.}5$

Ground soil has a CBR of $10$

Three materials to be used with the following properties:

HMA: $E=300,000$ psi; $G_m=2=2\mathrm{.}37,$ cost $=60J\frac{D}{?}$ Ton; compaction cost $=4J\frac{D}{m^2}$

Basc$-$Coarse: $E=25,500$ psi; Compaction Factor$=0\mathrm{.}85$; Cost$-10$ JD$/$m$^2$; compaction cost$-2$ JD$/$m

Sub$-$Base: $E=12,000$ psi, Compaction Factor $=0\mathrm{.}80$; Cost $=6J\frac{D}{m^3}$; compaction cost $=2J\frac{D}{m^2}$

Aggregate Base and Sub$-$base are sarumated $5\%$ of the time with a fair drainage system.

Traffic distribution: $80\%$ passenger cars, $20\%$ semi$-$trailers with load distribution shown below:

Using the AASHTO method, and being conservative, find the following:

a$)(6$ Pts$)$ The Directional Design Truck Traffic volume $($DDTTV$)$ for the design life is $10250000$ Truck

b$)(10$ Pts$)$ Assuming that the answer from $($a$)$ is $5$ million Trucks, the ESAL for this road for the purpose of structur: design is: $221673231$

$4.08$

c$)(6.$Pts$)$ Assuming that the answer from $($b$)$ is $12$ million ESAL, the structural number $($SN$)$ of this pavement $q,$

d$)(9$ Pts$)$ Assuming that the answer from $($c$)$ is $4\mathrm{.}2,$ determine the thicknesses of the HMA, Base$-$coarse and Si base that will provide a pavement structure that carries traffic loads equally among these three layers. Give yo answer in the unit of inch $($do not use a fraction of an inch$).$

$110$

D$2=q,$ inch; inch;

D$3$

$n_1=3in10$ inch; $D3nch$

$n_1=D_2=$ nch

$4\mathrm{.}2+a_2{D}_2^1{m}_2+q_3{D}_3{m}_3$

$\{\begin{array}{c}\text{:}{a}_1=0\mathrm{.}44\\ a_2=0\mathrm{.}19\\ M_{2}0\mathrm{.}9\end{array}$

$$

$M_3=2\mathrm{.}8$

$(7$Pts$)$ Assuming that the answers from $($d$)$ are $5$ incles, $8$ inches, and $13$ inches for the HMA, Aggregate Be and Aggregate Sub$-$Base, respectfully, the cost of one square meler of this pavement is broken down $m$ follo HMA Cost $m^2=q,$ AB JD; Sub$-$Base Cost$/$m$^2=3\mathrm{.}872$ JD: Base Coarse Cost $m^2=$