The structural steel beam shown below has a rectangular cross$-$section, a length I $=200",$ is subjected to an axial force, F$=20,000$lbs$,$ and a transverse line pressure load of p$=2$lb$//$in$.$ The base of the beam is $1^(\text{'}\text{'})$ and its height is $3^(\text{'}\text{'}).$ Using beam elements, create a $1//2$ symmetry FE model of the beam and answer the following.

PLEASE MAKE AND SHOW THE MODEL AND THE DEFLECTIONS.

E$.$ What is the maximum vertical deflection in the beam if F$=0?$

f$.$ What is the maximum axial deflection in the beam $($Note: The maximum axial deflection in the beam is twice the maximum axial deflection of the $1//2$ symmetry model$)?$

g$.$ Does the beam yield? Explain your answer.

h$.$ Explain why this is a nonlinear problem.