Rigid beam ABC supports two rods that initially have no strain. If a temperature increase in rod (1) creates a normal strain of 3,333 μin./in. in it, determine the normal strain in rod (2). The initial lengths are a = 8 in., b = 14 in., c = 31 in., and d = 10 in. Assume there is no slack in the connections.

Axial loads are applied with rigid bearing plates to the solid cylindrical rods. One load of P = 100 kN is applied to the assembly at A, two loads Q = 40 kN are applied at B, and two loads R = 160 kN are applied at C. Determine the total change in length of the assembly.L1 = 0.22 m, E1 = 194 GPa, A1 = 0.0013 m2L2 = 0.42 m, E2 = 210 GPa, A2 = 0.0004 m2L3 = 0.32 m, E3 = 110 GPa, A3 = 0.0015 m2

A triangular piece of rubber is stretched causing A to move downward. Determine the magnitude of the shear strain that occurs at A when a = 35.4 mm, b = 70.8 mm, and c = 46.4 mm.

Rigid beam ABC supports two rods that initially have no strain. If a temperature increase in rod (1) creates a normal strain of 3,089 μin./in. in it, determine the normal strain in rod (2). The initial lengths are a = 9 in., b = 16 in., c = 40 in., and d = 8 in. Assume there is no slack in the connections.

A steel plate has a rectangular hole at its center and four circular holes at the corners. At an initial temperature of Ti = –10°C, the plate is 95 mm wide, 135 mm long, and 11 mm thick. The rectangular hole is 30 mm wide and 65 mm long. The circular holes have a diameter of 17 mm. At a final temperature of Tf = 43°C, determine the width of the rectangular hole.

A load of P = 105 lb is applied to beam ABC. Bar (1) has a circular cross section with a diameter of 0.96 in. Determine the normal stress in bar (1). Let a = 32 in., b = 12 in., and c = 8 in.

A triangular piece of rubber is stretched causing A to move downward. Determine the magnitude of the shear strain that occurs at A when a = 37.9 mm, b = 75.8 mm, and c = 52.7 mm.

A load of P = 235 lb is applied to beam ABC. Determine the normal force in bar (1). Let a = 35 in., b = 16 in., and c = 9 in.

Rigid beam ABC supports two rods that initially have no strain. If a temperature increase in rod (1) creates a normal strain of 3,743 μin./in. in it, determine the normal strain in rod (2). The initial lengths are a = 10 in., b = 14 in., c = 30 in., and d = 10 in. Assume there is no slack in the connections.

An upward load is applied to a circular rod that has a diameter of 10.63 mm. The rod is connected to the ground using a pin that has a diameter of 9.55 mm. If the average shear stress in the pin is limited to 140 MPa, determine the maximum load that can be applied to this connection.