Problem $2(20$ points$)($Matlab$-$Based Assignment$)$: A cantilever beam with a $1-$in$-$diameter round cross$-$ In the class, we have solved part a and part b$.$ Following the solutions of parts a and b$,$ write a MATLAB

code and create the table below for part c$.$ Once you are confident about your results, upload the

MATLAB code as $.$m file for this problem.

$($c$)$ Repcating the process with different heam lengths prodnces the results in the table.

section is loaded at the tip with a transverse force of $1000$ lbf $,$ as shown in the figure. The cross$-$section at

the wall is also shown, with labeled points A at the top, B at the center, and C at the midpoint between A

and B$.$ Study the significance of the transverse shear stress in combination with bending by performing

the following steps.

$($a$)$ Assume $L=10in.$ For points $A,B,$ and C $,$ sketch three$-$dimensional stress elements, labeling the

coordinate directions and showing all stresses. Calculate the magnitudes of the stresses on the stress

elements. Do not neglect transverse shear stress. Calculate the maximum shear stress for each stress

element.

$($b$)$ For each stress element in part $($a$),$ calculate the maximum shear stress if the transverse shear stress

is neglected. Determine the percent error for each stress element from neglecting the transverse shear

stress.

$($c$)$ Repeat the problem for $L=4,1,$ and $0\mathrm{.}1$ in $.$ Compare the results and state any conclusions regarding

the significance of the transverse shear stress in combination with bending.