Problem $1$:

Each of the four vertical links has an $836mm$ uniform rectangular cross section and each of the four pins has a $16-mm$ diameter. Determine:

$($a$)$ Average normal stress in link $BD$

$($b$)$ Average normal stress in link $CE$

$($c$)$ Average shearing stress in the pin at $B$

$($d$)$ the average bearing stress at $B$ in member $BD$

$($e$)$ IF Link BD is made of a material with an allowable stress of $120$MPa, determine the factor of safety