The two cross sections shown below, $($a$)$ and $($b$),$ are subjected to a vertical shear force as shown. The members

are fastened by nails that can support a load of $23\mathrm{.}00$ kN each and are spaced perpendicularly to the page in

increments of $s=115\mathrm{.}0mm.$ The geometries of the cross sections are given by $a=250\mathrm{.}0mm,b=35\mathrm{.}00mm$

$,c=295\mathrm{.}0mm,d=180mm,$ and $e=330mm.$ Assume the cross sections are uniform along the entire

lengths of the members.

$($a$)$

$($b$)$

Determine the maximum applicable shear force on member a and b; and Determine the required spacing in the weaker member.