Consider a cantilevered beam with a Young's modulus $E,$ moment of inertia I, height $2h,$ and length $L.$ A couple

$C$ is applied at the tip of the beam. One beam finite element is used to approximate the structure.

$($a$)$ Calculate the tip displacement $v$ and tip slope $$ using the finite element equation.

$($b$)$ Calculate the bending moment and shear force at the wall using the finite element equation.

$($c$)$ Calculate the stress ${}_{}$ at points A and $B.$