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A beam has dimensions of b = 18 in., h = 12 in., and d = 9.5 in. and is reinforced with 5 No. 11 bars. The concrete strength is 3,800 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 9.47 in., does the reinforcement yield?

A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 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 4,000 psi, and the yield strength of the reinforcement is 60,000 psi. For the results given below, determine the strength Mn for this beam.a = 4.433 in. (depth of concrete stress block)Cc = 208.9 kips (compressive force in concrete)Cs = 28.1 kips (compressive force in steel)T = 237.0 kips (tensile force in steel)

A beam has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 5 No. 7 bars. The concrete strength is 7,600 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

A 24-lb cardboard box sits on an oak beam. Determine the maximum bending moment in the beam if the weight is modeled as concentrated load P = 24 lb. Let a = 51 in.

A 28-lb cardboard box sits on an oak beam. Determine the maximum bending moment in the beam if the weight is modeled as concentrated load P = 28 lb. Let a = 52 in.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 5 bars at a depth of 22 in. The top row contains 5 No. 5 bars at a depth of 18 in. Determine the effective (centroidal) depth, d, of the steel.

Loads P = 90 N, Q = 70 N, and R = 65 N are applied to the structure. Determine the torque generated in segment (1). Let a = 110 mm, b = 70 mm, and c = 55 mm.

A classmate has suggested a beam design that has dimensions of b = 16 in., h = 30 in., and d = 27.5 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?

A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 in. It is reinforced with 2 No. 5 bars on the compression side and 4 No. 8 bars on the tension side. The concrete strength is 2,800 psi, and the yield strength of the reinforcement is 60,000 psi. For the results given below, determine the strength Mn for this beam.a = 4.828 in. (depth of concrete stress block)Cc = 159.4 kips (compressive force in concrete)Cs = 30.2 kips (compressive force in steel)T = 189.6 kips (tensile force in steel)

A classmate has suggested a beam design that has dimensions of b = 12 in., h = 28 in., and d = 25.5 in. and is reinforced with 5 No. 14 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?