Problem $4$: Make a MatLab program for the following Problem.

For the beam shown, use Matlab to calculate the deflection at the mid$-$span using four beam elements, making the shear area zero and then making the shear area equal $5/6$ times the cross$-$sectional area $($b times h$).$ Then make the beam have decreasing spans of $\backslash (200\backslash$mathrm$\{$~mm$\},100\backslash$mathrm$\{$~mm$\}\backslash ),$ and $50$ mm with zero shear area and then $\backslash (5/6\backslash )$ times the cross$-$sectional area. Compare the answers. Based on your program answers, can you conclude whether your program includes the effects of transverse shear deformation? $($answer this fully please! with mathlab and make the program$)$