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Rigid beam ABC supports two rods that initially have no strain. If a temperature increase in rod (1) creates a normal strain of 2,567 μin./in. in it, determine the normal strain in rod (2). The initial lengths are a = 8 in., b = 16 in., c = 39 in., and d = 9 in. Assume there is no slack in the connections.

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.

A load of P = 490 lb is applied to beam ABC. Determine the vertical ground reaction at B. Let a = 33 in., b = 15 in., and c = 10 in.

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.

A steel [E = 200 GPa; ν = 0.3; α = 11 ×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 80 mm wide, 115 mm long, and 16 mm thick. The rectangular hole is 25 mm wide and 65 mm long. The circular holes have a diameter of 17 mm. At a final temperature of Tf = 45°C, determine the thickness of the plate.

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 9.27 mm. If the normal stress in the rod is limited to 110 MPa and the average shear stress in the pin is limited to 105 MPa, determine the maximum load that can be applied to this connection.

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.

A Great Value can weighs 1.02 lb and is 2.93 in. in diameter. A Libby’s can weighs 1.07 lb and is 2.95 in. in diameter. What is the largest bearing stress that occurs between the cans and the table? Assume each can has a smooth base and sits flat on the table.

A 3D printed polymer rod measures 118.00 mm in length while on the heated print bed at 50.1°C. After cooling to room temperature at 20.2°C the rod measures 117.74 mm in length. Determine the coefficient of thermal expansion of the polymer.

An upward load is applied to a circular rod that has a diameter of 10.69 mm. The rod is connected to the ground using a pin that has a diameter of 9.56 mm. If the normal stress in the rod is limited to 245 MPa and the average shear stress in the pin is limited to 125 MPa, determine the maximum load that can be applied to this connection.