a$)$ Determine the scenario$/$scenarios that will create the maximum bending moment and shear

stress on the beam.

b$)$ Draw the shear force diagram and bending moment diagram based on the loading condition

for the scenario of the maximum bending moment and derive the equations for bending

moment and shear force.

c$)$ Determine the size of T beam and hollow square sections with specifications shown below

with the smallest possible section that can carry the bending moment in the beam. Maximum

allowable stress is $2$ MPa.

d$)$ For the above sections with the loading condition specified in section $($b$),$ if the shearing stress is

limited to $4$ MPa, Which section is your preference? Explain your reason.