For the beam shown below with structural tee cross section and steel material determine the

following:

a$.$ Fine the reactions at A and $B$ for the following loading scenario.

b$.$ The internal Shear and Moment at $4ft$ from the right of reaction $A.$

c$.$ Draw the Shear and Moment Diagrams to scale.

d$.$ Indicate Vmax and Mmax on the diagrams.

e$.$ Maximum bending stress developed in the section.

f$.$ Maximum shear stress developed within the section.

g$.$ If the beam is adequate based on bending stress if the allowable bending stress is $F{b}_{\text{a}\text{l}\text{l}\text{o}\text{w}}$

$=24$ksi

h$.$ If the beam is adequate based on shear stress if the allowable shear stress is $F_{v-\text{a}\text{l}\text{l}\text{o}\text{w}}=$

$0\mathrm{.}624=14\mathrm{.}4$ksi

i$.$ If the beam is adequate based on deflection if the allowable deflection is Span$/360($

Span$=$ distance between the supports$).$

j$.$ Would changing the steel material to a higher strength with Fy$-$allow$=33$ksi, and Fv$-$

allow$=20$ksi make the beam adequate against bending? Why?