Problem $2$:

A four$-$span prismatic beam over supports A$,$ B$,$ C$,$ D$,$ and E is fixed at the right end $($named E$)$ and

is supported on rollers at all other supports $($at A$,$ B$,$ C$,$ and D$).$ The load is uniformly distributed

$w=50k\frac{N}{m}$ and the spans are $l=5$ meters each.

a$)$ Using software or a structural analysis method of your choice, obtain the support reactions.

b$)$ Draw yourself $($not the software$)$ to scale the shear and bending moment diagram of the

beam.

c$)$ Compare the shear force on the left side with that on the right side of the first span AB $.$

Why are they different?

d$)$ Compare the vertical support reactions with $w\frac{l}{2}$ and $wl.$ Why are some close to the first

and some to the second.

e$)$ Calculate $(\frac{|M_{\text{l}\text{e}\text{f}}-t|+|m_{\text{r}\text{i}\text{g}\text{h}\text{t}}^{-}|}{2}+M_{\text{m}\text{a}\text{x}}^{+})$for each span and compare it to the static moment $w\frac{l^2}{8}.$