Problem #$2$: $(50$ points$)$ A simple frame is subjected to a horizontal force of $750$ lb and a uniform

vertical distributed load of $50l\frac{b}{i}n.,$ as shown in Figure $2.$ The frame consists of two members: a

straight link BDE supported at pin $E$; and a $($non$-$straight$)$ member ABC supported at pin $A.$ The

two members are pinned together at $B.$ The cross$-$sectional area of member ABC $($perpendicular to

its longitudinal axes from points $A$ to $B$ and from points $B$ to $C)$ is ABC$=1\mathrm{.}50i{n}^2.$ Pin $E$ is in double

shear and its diameter is $d_E=0\mathrm{.}80in.$

For parts a$)$ through d$),$ imagine that the $50l\frac{b}{i}n.$ distributed load on member ABC is

removed: $(35$ points$)$

a$)$ Draw a free body diagram of the entire frame, find the reactions at pins A and $E,$ and find

the force transmitted between points A and $B$ in member ABC. Specify whether this force is

tensile or compressive.

b$)$ Find the shear stress ${}_E$ in pin $E.$

c$)$ Find the normal stress $$ and the shear stress $$ on a plane exposed by a cut through member

ABC between points A and $B$ when the cut is perpendicular to the longitudinal axis from

point $A$ to point $B.$

d$)$ Find the normal stress ohor and the shear stress ${}_{\text{h}\text{o}\text{r}}$ on a plane exposed by a horizontal cut

through member ABC between points A and $B.$

For part e$),$ the loads on the frame are applied as shown in Figure $2$: $(15$ points$)$

e$)$ Draw the appropriate free body diagram$($s$)$ and find the reactions at pins A and $E$

PLEASE SHOW ALL THE STEPS IN DETAILS AND PLEASE REFER BACKT TO THE QUESTIONS ON THE PICTURE ATTACHED TO THE QUESTION!