Problem $2)($modified from Textbook problem $4-19)$: With an allowable shear stress of $20$ kpsi and an allowable normal

stress of $40$ kpsi $,$ find the following:

a$)$ The maximum value of the force $P$ when considering only direct shear $($pin diameter of $0\mathrm{.}5$ inches$).$

b$)$ The maximum value of the force $P$ when considering only bearing stress $($flange$/$devis thickness of $0\mathrm{.}5$ inches and link

thickness of $1$ inch$).$