This is a conceptual design for a small gallery with a ${20}^{\text{'}}x30\text{'}$ enclosed space that houses a suspended artwork that weighs $6000lbs$ and an exterior uncovered trellis with another $6000lb$ art piece suspended from the end of the beams. A $12"6"$ glulam beam every $6ft$ to support the roof $($total dead and live $40l\frac{b}{f}{t}^2)$ is proposed.

a$)$ Calculate the distributed and point loads on Beam B$.$

b$)$ Draw the Shear Force Diagram and Bending Moment Diagram for this beam. Make sure to indicate where the diagrams are positive, negative, constant, linear, or curved respectively.

c$)$ Draw the distribution of Bending Stress through the depth of the beam at the middle of the main $).$ Make sure to indicate where it is in tension and where it is in compression.

d$)$ Comment $($no math$)$ on what you would expect if you had analyzed Beam A instead.