Problem $2$

$($a$)$ Please compute and plot the shear force and bending moment diagrams for the beam shown

below in Figure $2\mathrm{.}1.$ Please use the method of sections to get the equations for shear force

and bending moment, and use a computer to plot the diagrams and get the maximum value

of bending moment.

$($b$)$ For beam in problem $2-($a$),$ suggest the lightest$-$weight wide$-$flange beam $($use Appendix

B$)$ made of A$-36$ Structural Steel that avoids yielding with a factor of safety of at least $2.$

Use Sy $({}_y)=250$MPa.

Figure $2\mathrm{.}1$