Problem $2$:

a$)$ Determine the LEF and the number of ESAls $($Truck Factor$)$ for the New Flyer bus using the theoretical $($mechanistic$)$ analysis given the pavement structure and properties listed in Table $2.$ Use the relationship presented in class as follows:

LEF$=(\frac{N_{d18}}{N_{dx}})=(\frac{{}_{cx}}{{}_{c18}}{)}^4,$

Where, ${}_{cx}$ : compressive strain at the top of the subgrade due to an $x-$axle load

${}_{c18}$ : compressive strain at the top of the subgrade due to the standard $18-$kip single axle load.

Hint: You will need $3$D Move to calculate the maximum responses for the standard axle and each of the axles in the bus.

Table $2.$ Material Properties and Thicknesses

$\backslash$table$[[$Material$,$Modulus, psi,Poisson ratio,Thickness, in$],[$Asphalt Cement,$450,000,0\mathrm{.}35,6],[$Base Course,$28,000,0\mathrm{.}40,8],[$Subgrade$,15,000,0\mathrm{.}45,-]]$