A steel plate has a rectangular hole at its center and four circular holes at the corners. At an initial temperature of Ti = –12°C, the plate is 90 mm wide, 125 mm long, and 18 mm thick. The rectangular hole is 25 mm wide and 75 mm long. The circular holes have a diameter of 19 mm. At a final temperature of Tf = 45°C, determine the length of the rectangular hole.

A load is applied to the central portion of a double-shear cutting fixture. Determine the load required to shear through a piece of brass that has length of 3.20 in., a semi-circular diameter of 0.770 in., and an average shear stress capacity of 25 ksi.

An upward load is applied to a square rod that has a width of 10.16 mm. The rod is connected to the ground using a pin that has a diameter of 9.90 mm. If the average shear stress in the pin is limited to 165 MPa, determine the maximum load that can be applied to this connection.

A load of P = 495 lb is applied to beam ABC. Determine the vertical ground reaction at B. Let a = 36 in., b = 15 in., and c = 10 in.

Rigid beam ABC supports two rods that initially have no strain. If a temperature increase in rod (1) creates a normal strain of 3,337 μin./in. in it, determine the normal strain in rod (2). The initial lengths are a = 9 in., b = 14 in., c = 36 in., and d = 8 in. Assume there is no slack in the connections.

A load of P = 435 lb is applied to beam ABC. Determine the vertical ground reaction at B. Let a = 28 in., b = 12 in., and c = 8 in.

A force of P = 25 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 128,000 mm4 and a shear modulus of 1.9 GPa. Core (2) has a polar moment of inertia of 19,100 mm4 and a shear modulus of 1.3 GPa. Determine the torque produced in core (2). Let a = b = 215 mm.

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 134 lb·ft, a = 2.6 ft, and b = 10.4 ft. Assume the beam cannot lift off of the supports.

A load of P = 62 N is applied a = 220 mm from the center of a 18 mm bolt. Determine the torque applied to the bolt.

A load of P = 93 N is applied a = 235 mm from the center of a 20 mm bolt. Determine the torque applied to the bolt.