a$)$ Draw complete shea and moment diagrams using the relations among Load, Shear and Moment $($There will be no credit if you use a different metnod$).$ SHOW ALL CALCULATIONS. Every number shown on the diagrams MUSThave acalculation. Determine maximum shear $V_{\text{m}\text{a}\text{x}}$ and maximum bending moment $M_{\text{m}\text{a}\text{x}}.$ The support reactions are $By=3000lb($Up$)$ and $Dy=1200lb($Up$).$

b$)$ Ignore your answers to part a$)$ and assume that $V_{\text{m}\text{a}\text{x}}=50k$ and $M_{\text{m}\text{a}\text{x}}=200k-$ ft $.$

If the beam is a W$12$x$58$ steel section can the beam safely resist those forces? The allowable shear stress is $20$ ksi and the allowable normal bending stress is $33$ ksi $.$

$\backslash$table$[[$Shape$,\backslash$table$[[$Area$,],[$A$]],$Depth, $d,$Wob,Range,,Axis $x-x,,$Ads Y$-$Y$],[$Thicknose$,,$th$,$Whith,,Mickness,,$],[t_n,\frac{1}{2},b_1,t_f,Z,1,5,$r$,2],[l{n}^2,$In$.,$m$.,$h$.,$m$.,$In$.,$m$.{?}^4,I{m}^3,$m$.,$in$\mathrm{.}3,$m$.,I{n}^3,$f$.,m^{25}$