Design a $T-$beam using the following information.

Given information:

The following FACTORED shear and moments are as follows:

i$.$ Shear is $87$ kips

ii$.$ Positive moment is $340$ ft $-$kip

iii. Negative moment is $372$ ft $-$kip

The slab is $\frac{41}{2^{\text{'}\text{'}}}$ thick.

The width $($b$)$ of the stem $($web$)$ of the beam is $12$ in $.,$ the total height $($h$)$ is $24$ in $.$ Beams are spaced at ${10}^{\text{'}}-0^{\text{'}\text{'}}$ center to center. The beam is ${27}^{\text{'}}-0^{\text{'}\text{'}}$ long. The beam is at the interior area of the floor.

The concrete compressive strength, $f_c,$ is $4,000.$

The reinforcing is ASTM A$615$ Grade $60.$

Use $\frac{11}{2}$ cover for the beam.

Center the bars in the slab.

Provide the following:

a$.$ Design the flexural reinforcing at the bottom of the beam. Do not use #$10$ or bigger bars; use #$9$ or smaller. This might require multiple layers of reinforcing, but that is okay. In each row, there should be more than one bar and it should be placed symmetrically.

b$.$ Design the flexural reinforcing at the top of the beam $($i$.$e$.,$ in the flange of the tee$).$

c$.$ Design the shear reinforcing $($size and spacing$)$ for the shear demand.

d$.$ Draw an elevation and a section of your design showing the reinforcing you are using. Be NEAT!