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A 66-lb child and a 18-lb cardboard box are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 24 in., b = 36 in., and c = 42 in.

Loads P = 90 N, Q = 95 N, and R = 39 N are applied to the structure. Determine the torque generated in segment (2). Let a = 117 mm, b = 75 mm, and c = 57 mm.

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 149 lb·ft, a = 3.6 ft, and b = 10.4 ft. Assume the beam cannot lift off of the supports.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 6 No. 5 bars at a depth of 14 in. The top row contains 3 No. 8 bars at a depth of 8.5 in. Determine the effective (centroidal) depth, d, of the steel.

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.