The structural steel beam shown below has a rectangular cross$-$section, a length l$=$

$200",$ 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 $3".$ Using beam elements,

create a $1//2$ symmetry FE model of the beam and answer the following: $(60$ points$)$

a$.$ Write the boundary conditions at the symmetry end of your model.

b$.$ Write the boundary conditions at the right end of your model.

c$.$ What is the reaction force, F$\_($x$),$ at the symmetry end of your model?

d$.$ What is the maximum vertical deflection in the beam?

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.

i$.$ Attach a screenshot showing the resulting vertical deflection $($for F$=20,000$

lbs$).$