(Solved): The figure below shows an overhung beam of length 12ft supported at A and B and loaded with a unifor ...

The figure below shows an overhung beam of length

supported at

and

and loaded with a uniformly distributed load

. Assume the supports are smooth (i.e., they do not provide any horizontal reaction forces or reaction bending moments). The cross section of the beam is shown below the diagram of the beam. Answer the following questions: Draw the shear force diagram and bending moment diagram for the beam. Use the sign convention discussed in class. The centroid of the beam is at

from the bottom of the cross section as shown in the diagram. Determine the moment of inertia

of the cross section. Calculate the ratio

at the neutral axis of the cross section. Where is the transverse shear stress zero on the cross section? Justify in a sentence or two. If the allowable shear stress for the beam is

psi, determine the largest intensity of the uniformly distributed load

(in units of

) that can be applied on the beam.