$($b$)$

$($d$)$

$($a$)$

$($e$)$

$(3)$ For the knuckle joint described in problem $2$ of this assignment if the maximum allowable

tensile stress in the pin is $30$ kpsi and the maximum allowable shearing stress in the pin is $15$

kpsi $.$ Use the model shown in part $c$ of the figure to determine a minimum pin diameter for

each of the following potential failure modes. $($a$)$ Consider failure based on bending at the

point of maximum bending stress in the pin. $($b$)$ Consider failure based on the average shear

stress on the pin cross section at the interface plane of the knuckle and clevis. $($c$)$ Consider

failure based on shear at the point of the maximum transverse shear stress in the pin. $(3$

points$)$