A steel [E = 200 GPa; ν = 0.3; α = 11.5 ×10-6/°C] plate has a rectangular hole at its center and four circular holes at the corners. At an initial temperature of Ti = –20°C, the plate is 100 mm wide, 115 mm long, and 11 mm thick. The rectangular hole is 35 mm wide and 85 mm long. The circular holes have a diameter of 25 mm. At a final temperature of Tf = 44°C, determine the thickness of the plate.

An upward load is applied to a square rod that has a width of 10.70 mm. The rod is connected to the ground using a pin that has a diameter of 9.36 mm. If the average shear stress in the pin is limited to 195 MPa, determine the maximum load that can be applied to this connection.

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 = 20.2 mm, b = 40.4 mm, and c = 25.9 mm.

Rigid beam ABC supports two rods that initially have no strain. If a temperature increase in rod (1) creates a normal strain of 3,631 μin./in. in it, determine the normal strain in rod (2). The initial lengths are a = 10 in., b = 12 in., c = 36 in., and d = 9 in. Assume there is no slack in the connections.

An upward load is applied to a square rod that has a width of 10.24 mm. The rod is connected to the ground using a pin that has a diameter of 9.31 mm. If the average shear stress in the pin is limited to 185 MPa, determine the maximum load that can be applied to this connection.

A load of P = 425 lb is applied to beam ABC. Bar (1) is made of brass [E = 12,300 ksi; ν = 0.31] and has a circular cross section with a diameter of 0.78 in. Determine the magnitude of the normal strain in bar (1). Let a = 29 in., b = 13 in., and c = 10 in.

An aluminum bar with a 1.75-in. gage length, 0.220-in. width, and 0.085-in. thickness is loaded in tension. At the proportional limit, a load of 650 lb elongates the gage length by 0.00583 in. and reduces the width by 0.0002 in. Determine the Poisson’s ratio.

A load of 37 kN is applied to a circular shape that protrudes 14.4 mm from a brass plate. The circular shape has a diameter of 17.2 mm. Determine the average shear stress between the plate and the protrusion.

A load of 20 kN is applied to a circular shape that protrudes 15.8 mm from a brass plate. The circular shape has a diameter of 16.3 mm. Determine the average shear stress between the plate and the protrusion.

Rigid beam ABC supports two rods that initially have no strain. If a temperature increase in rod (1) creates a normal strain of 2,275 μin./in. in it, determine the normal strain in rod (2). The initial lengths are a = 8 in., b = 12 in., c = 35 in., and d = 11 in. Assume there is no slack in the connections.