PLEASE SOLVE ANS SHOW DIAGRAM a$)$ Draw complete shear and moment dlagrams using the relations among Load, Shear and Moment $($There will be NO CREDIT If you use a different method$).$ SHOW ALL CALCULATIONS. Every number shown on the diagrams MUST have a calculation. Determine maximum shear $V_{\text{m}\text{a}\text{x}}$ and maximum bending moment $M_{\text{m}\text{a}\text{x}}.$

b$)$ Ignore your answers to part a$)$ and assume that $V_{\text{m}\text{a}\text{x}}=35kjps$ and $M_{\text{m}\text{a}\text{x}}=120kjp-ft.$ If the beam is made of steel with an allowable shear stress of $14\mathrm{.}4$ ksl and an allowable normal bending stress of $21\mathrm{.}6$ ksi $,$ determine the most economical size for the beam.