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A 78-lb child and a 24-lb cardboard box are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 23 in., b = 35 in., and c = 44 in.

A load of P = 30 N is applied a = 220 mm from the center of a 18 mm bolt. Determine the torque applied to the bolt.

If the normal stress in rod (1) is limited to 210 MPa and the required factor of safety is 1.8, determine the maximum load P that can be applied to rod (2). Let a = 0.30 m, b = 0.82 m, and the cross-sectional area of rod (1) be 85 mm2.

A load of P = 10 N is applied to a hex wrench that has lengths a = 39 mm and b = 137 mm. Determine the torque applied to the set screw.

A load of P = 16 N is applied a = 245 mm from the center of a 20 mm bolt. Determine the torque applied to the bolt.

A load of P = 14,900 lb is applied to the connection. If the average shear stress in the bolts is limited to 30 ksi and the required factor of safety is 1.9, determine the minimum allowable bolt diameter.

A load of P = 7 N is applied to a hex wrench that has lengths a = 20 mm and b = 66 mm. Determine the torque applied to the set screw.

A torque of T = 265 lb·in. is applied to two pulleys and a copper-alloy shaft. Determine the minimum diameter of the shaft if its shear yield strength is 22 ksi.

If the length of a timber [E = 1,800 ksi] column cannot change by more than 0.045 in., determine the maximum load P that can be applied to the column. Let b = 4.75 in., d = 9.50 in., and L = 102 in.

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 113 lb·ft, a = 2.6 ft, and b = 8.4 ft. Assume the beam cannot lift off of the supports.