Problem $($Beam with segments of different cross section areas and different materials$)$

The beam has $3$ segments. The first one is from the wall to point of application of $F.$ The second segment is from $F$ to the

left roller support. The last segment is between the $2$ roller supports.

Cross section areas of the first and the third segments are $bh.$ Cross section area of the second segment is $2*bh.$

Materials of the first and the third segments have Poisson's ratio $=0\mathrm{.}3,E=2^{*}{10}^7\frac{N}{c}{m}^2($i$.$e$.,200$ GPa $).$ Material of the

second segment has Poisson's ratio $=0\mathrm{.}33,E={2\mathrm{.}1}^{*}{10}^7\frac{N}{c}{m}^2($i$.$e$.,210$ GPa $).$

Given $a=300cm,b=3cm,h=4cm,F=100N,q_{\text{m}\text{a}\text{x}}=5\frac{N}{c}m.$

Use $50$ elements for the first segment, $50$ elements for the second segment, and $60$ elements for the last segment.

a$)$ Plot the deformed structure.

b$)$ Determine the reaction forces and moments at supports.

c$)$ Draw $($plot$)$ the shear force and bending moment diagrams.

Write up a report stating your answers including screenshots. Explain all the command lines in the code like what is shown in

the screenshot in the Hint below.

Hint: