Complete the following tasks for the structures shown below:

Structure $($a$),E=29,000$ksi and $I=1,000i{n}^4$ for all members:

Verify the structure is statically determinate

Use virtual work equation and integration table $($or visual integration$)$ to determine the deflection at Point $C$

Sketch the deformed shape and check the direction of the support moment at A

Structure $($b$),E=29,000$ksi and $I=150i{n}^4$ for all members, note connection B is a pinned connection $($hinge$)$:

Verify the structure is statically determinate

Use virtual work equation and integration table $($or visual integration$)$ to determine the $x-$direction displacement at Point B

Sketch the deformed shape

$($a

$($b$)$

$\frac{1}{3}$