A $12$ x $12$ rectangular column is made of reinforced concrete. The column is reinforced with six

No$.8$ bars placed as shown in the sketch below. Determine the axial load carrying capacity of

the column at a compressive stress of $2,000$ psi $($within elastic limit of concrete and steel$).$ The

modulus of elasticity of steel is $29,000,000$ psi while that of concrete is $4,030,508$ psi. Determine

the following: $6$ points

a$.$ Modular ratio $$n$$

b$.$ Determine the axial load that will stress the concrete to $2,000$ psi.

c$.$ Draw the transformed section next to the cross section of column shown below