Problem $1$:

The New Flyer bus is an articulated transit vehicle part of the Excelsior line manufactured in Canada. It has the potential to accommodate over $100$ passengers and is currently in operation in various cities across the US$.$ For reference, the technical specifications for axle load weights are presented in Table $1$ and Figure $1.$ Assume the gross axle weight rating $($GAWR$)$ load is distributed uniformly over the tires.

a$)$ Determine LEF for each axle and the corresponding number of ESALs using the empirical analysis given a SN $5$ and terminal serviceability of $2\mathrm{.}5.$

Figure $1.$ New Flyer Bus

Table$1.$ Axle and Weights Specification for the Max New Flyer Transit Bus.

$\backslash$table$[[$Axle$,$Front,Drive,Rear$],[$GAWR Load, lbs$.,14,000,21,000,24,000],[$Tire Inflation Pressure, psi,$120,120,120],[$Tire Type,$\backslash$table$[[$Single Axle $-$ Single$],[$Tire$]],\backslash$table$[[$Single Axle $-$ Dual$],[$Tires$]],\backslash$table$[[$Single Axle $-$ Dual$],[$Tires$]]],[\backslash$table$[[$Distance between tires $(S_1),],[$in$.]],-,12-14,12-14$