A beam has dimensions of b = 18 in., h = 12 in., and d = 9.5 in. and is reinforced with 5 No. 8 bars. The concrete strength is 3,500 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 5.207 in., does the reinforcement yield?

Determine As,min for the following beam given that f’c = 7,750 psi and fy = 60,000 psi.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 9 No. 6 bars at a depth of 22 in. The top row contains 5 No. 8 bars at a depth of 17.5 in. Determine the effective (centroidal) depth, d, of the steel.

A beam has dimensions of b = 14 in., h = 26 in., and d = 23.5 in. and is reinforced with 3 No. 8 bars. The concrete strength is 9,100 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the tensile force T in the reinforcement.

A beam has dimensions of b = 14 in., h = 26 in., d’ = 2.5 in., and d = 23.5 in. It is reinforced with 2 No. 5 bars on the compression side and 5 No. 8 bars on the tension side. The concrete strength is 2,500 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 7.961 in., determine the force in the compression reinforcement, Cs.

Alternate span loading is the common loading pattern for determining maximum negative moments at supports due to live load.

A classmate has suggested a beam design that has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 4 No. 7 bars. Assuming a cover of 1.5 in. and a stirrup diameter of 0.5 in., does the reinforcement fit within a single row as suggested?

Concrete forms should generally be chosen to allow for maximum reuse of the forms.

Determine As,min for the following beam given that f’c = 5,750 psi and fy = 60,000 psi.

The moment-curvature relationship is linear up to the cracking point and is referred to as the uncracked-elastic range.