Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 148 lb·ft, a = 2.6 ft, and b = 10.4 ft. Assume the beam cannot lift off of the supports.

A torque of TC = 890 N·m is applied to the aluminum [G = 72 GPa] shaft. Segment (1) has a diameter of 76 mm, and segment (2) has a diameter of 40 mm. Determine the angle of twist at C. Let L1 = 0.67 m and L2 = 0.35 m.

A beam has dimensions of b = 18 in., h = 10 in., and d = 7.5 in. and is reinforced with 4 No. 8 bars. The concrete strength is 5,300 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 2.979 in., does the reinforcement yield?

A load of P = 4 N is applied to a hex wrench that has lengths a = 15 mm and b = 52 mm. Determine the torque applied to the set screw.

A force of P = 30 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 67,700 mm4 and a shear modulus of 1.6 GPa. Core (2) has a polar moment of inertia of 23,000 mm4 and a shear modulus of 1.5 GPa. Determine the torque produced in core (2). Let a = b = 200 mm.

A 70-lb child and a 25-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 = 31 in., and c = 45 in.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 7 No. 7 bars at a depth of 16 in. The top row contains 5 No. 8 bars at a depth of 12 in. Determine the effective (centroidal) depth, d, of the steel.

A beam has dimensions of b = 14 in., h = 30 in., d’ = 2.5 in., and d = 27.5 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 2,800 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 = 6.102 in. (depth of concrete stress block)Cc = 201.8 kips (compressive force in concrete)Cs = 35.2 kips (compressive force in steel)T = 237.0 kips (tensile force in steel)

A torque of TC = 990 N·m is applied to the aluminum [G = 73 GPa] shaft. Segment (1) has a diameter of 77 mm, and segment (2) has a diameter of 42 mm. Determine the angle of twist at C. Let L1 = 0.50 m and L2 = 0.38 m.

A load of P = 66 N is applied a = 240 mm from the center of a 20 mm bolt. Determine the torque applied to the bolt.