Q$2.$ Make steel design for the one$-$bay, one story frame given in the figure according to the ASD. Use I $($IPN$)$ sections for the cross sections. The tables are given in the resources. Check the deflection of the beam using the criteria $\frac{L}{360}.$ The material is $S235$ where ${}_y=2\mathrm{.}4\frac{t}{c}{m}^2.E_x=4kN.$

$20kN$ force is an additional point load for $DL+LL$ combination.Project on Response Spectrum Project Statement: for the one$-$bay one story frame $($L $)=($h$),$ ignore the shear deformation and use x$($t$)$ as the coordinate to define the vibration response of the structure. Assume the structure has viscous damping ratio of $\backslash$xi $=5\%,$ and I$\_($b$)=0\mathrm{.}6$I $.$ You are expected to use the Newmark method with constant average acceleration for your response calculation. a$)$ Use the flexibility method to derive the lateral stiffness of the frame. b$)$ For the explosive force with finite duration t$\_($d$),$ as shown below with $\backslash$alpha equal to $(1)/(5),$ calculate the response spectrum for the maximum displacement of x$($t$).$ c$)$ For the explosive force with finite duration t$\_($d$),$ as shown below with $\backslash$alpha equal to $(1)/(5),$ calculate the response spectrum for the maximum of moment M$\_($BA$).$ d$)$ Based on your derived response spectrum in part b and assume that t$\_($d$)=0\mathrm{.}1$sec $,$ select the most economical W$-$sections for the beam and columns so that the value of R$\_(\_())($d$)$ is less than $2\mathrm{.}0.$