A 3D printed polymer rod measures 168.00 mm in length while on the heated print bed at 64.8°C. After cooling to room temperature at 21.5°C the rod measures 167.42 mm in length. Determine the coefficient of thermal expansion of the polymer.

A load of P = 14,900 lb is applied to the connection. If the average shear stress in the bolts is limited to 30 ksi and the required factor of safety is 1.9, determine the minimum allowable bolt diameter.

A 3D printer is used to create a shock absorbed composed of two polymers. Polymer (1) [E = 220 ksi] has a cross-sectional area of 1.0 in.2. Polymer (2) [E = 140 ksi] has a cross-sectional area of 1.0 in.2. After the shock absorber is loaded between steel plates by load P = 845 lb, determine the load carried by polymer (1).

A torque of T = 370 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 19 ksi.

If rod (1) elongates 0.348 mm and rod (2) elongates 0.372 mm, determine how far downward E moves. Let a = 0.47 m and b = 0.68 m.

If rod (1) elongates 0.237 mm and rod (2) elongates 0.357 mm, determine how far downward E moves. Let a = 0.33 m and b = 0.65 m.

Axial loads are applied with rigid bearing plates to the solid cylindrical rods. One load of P = 90 kN is applied to the assembly at A, two loads Q = 50 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 = 0.28 m, E1 = 196 GPa, A1 = 0.0012 m2L2 = 0.40 m, E2 = 212 GPa, A2 = 0.0004 m2L3 = 0.36 m, E3 = 108 GPa, A3 = 0.0016 m2

If rod (1) elongates 0.277 mm and rod (2) elongates 0.392 mm, determine how far downward E moves. Let a = 0.43 m and b = 0.77 m.

A 3D printed polymer rod measures 157.00 mm in length while on the heated print bed at 55.7°C. After cooling to room temperature at 20.5°C the rod measures 156.52 mm in length. Determine the coefficient of thermal expansion of the polymer.

If the normal stress in rod (1) is limited to 250 MPa and the required factor of safety is 2.0, determine the maximum load P that can be applied to rod (2). Let a = 0.32 m, b = 0.73 m, and the cross-sectional area of rod (1) be 115 mm2.