A reinforced concrete beam has a width of 12 in and an effective depth (from the extreme compression fiber to the centroid of the tension steel) of 22 in. The concrete compressive strength is 4000 psi and steel has a yield strength of 60,000 psi. Determine: a. The depth of neutral axis corresponding to balanced condition, the area of steel corresponding to balanced condition, and the balanced condition reinforcement ratio.
b. Area of tension steel corresponding to:

i. A design tensile steel strain of 0.004.
ii. tension controlled failure with a steel strain of 0.005