Consider the $24\text{'}$ beam shown below loaded with a distributed load, concentrated load, and concentrated moment. This beam is made out of linear elastic material with a modulus of elasticity of $5000$ ksi and has the cross section also shown below.

${15}^{\text{'}\text{'}}$

a$)$ Draws, in detail, the shear and moment diagrams for this beam. Note the location and values of maximum and minimum values.

b$)$ Determine the maximum tensile stress in the beam due to bending. $($Hint: where is the tensile stress located if the moment is positive?$)$