Please do the problem below

In designing the reinforcement steel for Joint Reinforced Concrete Pavement $($JRCP$),$ the following specifications are given:

Portland Concrete

Density: $2,400k\frac{g}{m^3}$

Coefficient of Thermal Expansion: $1{10}^{-5}c\frac{m}{c}\frac{m}{}C$

Drying shrinkage coefficient: $3{10}^{-4}$

Steel reinforcing concrete

Sizes of main bars that can be chosen: $10,12,16,20,25,28,32$ millimeters

Yield Strength: $4,000k\frac{g}{c}{m}^2$

Road with $4$ traffic lanes

Has tie bars for connecting the $4$ traffic lanes together

Traffic lane width: $3\mathrm{.}5$ meters $($joint spacing$)$

Concrete slab thickness: $25$ centimeters

Maximum allowable temperature change: $45C(T)$

Use granular subbase $($supportive layer beneath the pavement$)$

a$)$ If the maximum joint opening of the contraction joint does not exceed $1\mathrm{.}5mm,$ dowel bars are not required. In cases where the joint opening is greater than $1\mathrm{.}5mm$ but does not exceed $6\mathrm{.}5mm,$ dowel bars should be used at intervals as specified in the design.

b$)$ From point $($a$),$ when dowel bars are required, the arrangement and spacing of the longitudinal reinforcement bars and tie bars should be considered. The calculations for the reinforcement steel distribution in the traffic lanes should be shown. Additionally, provide a plan sketch showing the details of the reinforcement steel in the pavement and tie bars.