Numerically solve the displacement DE $(7\mathrm{.}57)$ for the displacement distribution$($a$)$

$($b$)$

$($b$)$ Calculate the maximum displacement

$($c$)$ Calculate the BMD distribution

$($d$)$ Calculate the longitudinal stress distribution at the critical cross$$section

$($e$)$ Sketch the above stress in the attached sheet

$($f$)$ Calculate the strength M$.$S$.($based on longitudinal stress only$)$

$($g$)$ Compare with the results of problem $5\mathrm{.}2$