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.

A 60-lb child and a 178-lb adult are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 25 in., b = 50 in., and c = 23 in.

Loads P = 45 N, Q = 35 N, and R = 45 N are applied to the structure. Determine the torque generated in segment (1). Let a = 105 mm, b = 80 mm, and c = 40 mm.

Gear A has a diameter of 1.36 in., and gear B has a diameter of 1.81 in. If the pointer needs to be rotated 137° CW, how much should the motor be rotated?

A torque of T = 330 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 19 ksi.

A load of P = 89 N is applied a = 110 mm from the center of a 9 mm bolt. Determine the torque applied to the bolt.

A 3D printed polymer rod measures 154.00 mm in length while on the heated print bed at 60.5°C. After cooling to room temperature at 20.4°C the rod measures 153.46 mm in length. Determine the coefficient of thermal expansion of the polymer.

A 3D printed polymer rod measures 146.00 mm in length while on the heated print bed at 51.1°C. After cooling to room temperature at 20.7°C the rod measures 145.60 mm in length. Determine the coefficient of thermal expansion of the polymer.

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.

Axial loads are applied with rigid bearing plates to the solid cylindrical rods. One load of P = 90 kN is applied to the assembly at A, two loads Q = 20 kN are applied at B, and two loads R = 150 kN are applied at C. Determine the total change in length of the assembly.L1 = 0.26 m, E1 = 192 GPa, A1 = 0.0014 m2L2 = 0.40 m, E2 = 214 GPa, A2 = 0.0005 m2L3 = 0.32 m, E3 = 108 GPa, A3 = 0.0015 m2