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A steel [E = 200 GPa; ν = 0.3; α = 11.4 ×10-6/°C] 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.

WL bought ___________ from the House of Hwang.

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.

Gear B has 11 teeth, and gear C has 14 teeth. If a torque of 8 lb·in. and a speed of 1,630 rpm is required at A, determine the minimum power that the motor must provide.

Gear B has 9 teeth, and gear C has 15 teeth. If a torque of 19 lb·in. and a speed of 1,600 rpm is required at A, determine the minimum power that the motor must provide.

A torque of T = 170 lb·in. is applied to two pulleys and a copper-alloy shaft. Determine the minimum diameter of the shaft if its shear yield strength is 18 ksi.

A load of P = 69 N is applied a = 120 mm from the center of a 10 mm bolt. Determine the torque applied to the bolt.

Villagers attacked WL’s house

A load of P = 16 N is applied to a hex wrench that has lengths a = 42 mm and b = 134 mm. Determine the torque applied to the set screw.

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.