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.

A load of P = 395 lb is applied to beam ABC. Determine the vertical ground reaction at B. Let a = 36 in., b = 15 in., and c = 11 in.

A Bush’s Best can weighs 1.15 lb and is 2.95 in. in diameter. A Ro-Tel can weighs 0.77 lb and is 2.55 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 Ro-Tel can weighs 0.78 lb and is 2.56 in. in diameter. A Libby’s can weighs 1.03 lb and is 2.86 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 triangular piece of rubber is stretched causing A to move downward. Determine the magnitude of the shear strain that occurs at A when a = 31.4 mm, b = 62.8 mm, and c = 42.4 mm.

A load of 34 kN is applied to a square shape that protrudes 14.0 mm from a brass plate. The square shape has a width of 19.1 mm. Determine the average shear stress between the plate and the protrusion.

Axial loads are applied with rigid bearing plates to the solid cylindrical rods. One load of P = 130 kN is applied to the assembly at A, two loads Q = 30 kN are applied at B, and two loads R = 170 kN are applied at C. Determine the total change in length of the assembly.L1 = 0.20 m, E1 = 192 GPa, A1 = 0.0013 m2L2 = 0.46 m, E2 = 206 GPa, A2 = 0.0005 m2L3 = 0.32 m, E3 = 106 GPa, A3 = 0.0015 m2

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 = 38.7 mm, b = 77.4 mm, and c = 49.1 mm.