Beam sections are supported by Support Walls at either end. The details are such that one end is a pin and the other is a roller. The beams support a $6^{\text{'}\text{'}}$ cast$-$in$-$place slab used for an office. The beams are spaced at $6^{\text{'}}-0^{\text{'}\text{'}}$ oc$.$ Draw the Shear and Moment diagram for the total service level loading $($not including beam weight$).$ Establish the maximum bending moment and the required section modulus for an allowable beam with a Yield Stress of $22$ksi $($includes factor of safety$).$

Live Load $=,80psf$

Sustained Dead Load $=,20psf$

Self$-$Weight $of$ Slab $=6$@$150pcf$

Support Wall

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Support Wall