Rigid beam ABC supports two rods that initially have no strain. If a temperature increase in rod (1) creates a normal strain of 3,045 μin./in. in it, determine the normal strain in rod (2). The initial lengths are a = 8 in., b = 15 in., c = 34 in., and d = 9 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 = 120 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 = 190 GPa, A1 = 0.0013 m2L2 = 0.42 m, E2 = 204 GPa, A2 = 0.0004 m2L3 = 0.34 m, E3 = 104 GPa, A3 = 0.0016 m2

An upward load is applied to a circular rod that has a diameter of 10.51 mm. The rod is connected to the ground using a pin that has a diameter of 9.48 mm. If the normal stress in the rod is limited to 240 MPa and the average shear stress in the pin is limited to 150 MPa, determine the maximum load that can be applied to this connection.

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.

If the normal stress in rod (1) is limited to 240 MPa and the required factor of safety is 2.4, determine the maximum load P that can be applied to rod (2). Let a = 0.50 m, b = 0.78 m, and the cross-sectional area of rod (1) be 180 mm2.

If rod (1) elongates 0.366 mm and rod (2) elongates 0.382 mm, determine how far downward E moves. Let a = 0.48 m and b = 0.78 m.

A load of P = 400 lb is applied to beam ABC. Bar (1) is made of brass [E = 16,500 ksi; ν = 0.32] and has a circular cross section with a diameter of 1.13 in. Determine the magnitude of the normal strain in bar (1). Let a = 35 in., b = 15 in., and c = 9 in.

A steel [E = 200 GPa; ν = 0.3; α = 11.3 ×10-6/°C] plate has a rectangular hole at its center and four circular holes at the corners. At an initial temperature of Ti = –23°C, the plate is 95 mm wide, 135 mm long, and 17 mm thick. The rectangular hole is 30 mm wide and 70 mm long. The circular holes have a diameter of 18 mm. At a final temperature of Tf = 41°C, determine the diameter of the circular holes.

An upward load is applied to a circular rod that has a diameter of 10.08 mm. The rod is connected to the ground using a pin that has a diameter of 9.64 mm. If the average shear stress in the pin is limited to 105 MPa, determine the maximum load that can be applied to this connection.

A 3D printed polymer rod measures 106.00 mm in length while on the heated print bed at 70.0°C. After cooling to room temperature at 20.3°C the rod measures 105.53 mm in length. Determine the coefficient of thermal expansion of the polymer.