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 = 7,600 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 2.3, determine the minimum allowable bolt diameter.

A load of P = 12,100 lb is applied to the connection. If the average shear stress in the bolts is limited to 27 ksi and the required factor of safety is 2.3, determine the minimum allowable bolt diameter.

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 = 50 kN are applied at B, and two loads R = 170 kN are applied at C. Determine the total change in length of the assembly.L1 = 0.20 m, E1 = 196 GPa, A1 = 0.0012 m2L2 = 0.48 m, E2 = 202 GPa, A2 = 0.0004 m2L3 = 0.34 m, E3 = 108 GPa, A3 = 0.0015 m2

If rod (1) elongates 0.237 mm and rod (2) elongates 0.357 mm, determine how far downward E moves. Let a = 0.33 m and b = 0.65 m.

If a load of P = 7 kN is applied to rod (2), determine the magnitude of the resultant force at C. Let a = 0.41 m and b = 0.71 m.

If the normal stress in rod (1) is limited to 300 MPa and the required factor of safety is 2.3, determine the maximum load P that can be applied to rod (2). Let a = 0.41 m, b = 0.75 m, and the cross-sectional area of rod (1) be 90 mm2.

A load of P = 13,900 lb is applied to the connection. If the average shear stress in the bolts is limited to 25 ksi and the required factor of safety is 2.2, determine the minimum allowable bolt diameter.

If the normal stress in rod (1) is limited to 205 MPa and the required factor of safety is 2.4, determine the maximum load P that can be applied to rod (2). Let a = 0.49 m, b = 0.74 m, and the cross-sectional area of rod (1) be 210 mm2.

If the length of a timber column cannot change by more than 0.020 in., determine the maximum load P that can be applied to the column. Let b = 4.25 in., d = 9.75 in., and L = 104 in.