If a $4^{\text{'}\text{'}}$ high by $1^{\text{'}\text{'}}$ wide rectangular $1040$ HR steel shape is used for Problem $3$

member ABC, determine the following: $(24$ Points$)$

$($a$)$ Static stress factor of safety. Clearly indicate where the minimum factor occurs on

the member.

$($b$)$ Transverse deflection as a function of longitudinal $(x)$ location.

$($c$)$ Slope as a function of longitudinal $(x)$ location..