Problem II $(40$ Points$)$:

A $14$ in $11$ in reinforced concrete is shown below. The beam is reinforced for tension $(3)$ #$6$ bars.

The concrete has a compressive strength of $f^{\text{'}}c=4,000,$ and grade $60$ steel is used for the

reinforcement.

Provide the following information:

a$)$ Find the moment capacity of the beam. Verify your assumption of under or over

reinforced in the problem.

b$)$ Find the area of steel needed to balance the beam $($i$.$e$.$ concrete crushes at same time

steel yields$)$

$(20$ Points$)$