Blog

A torque of T = 265 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 22 ksi.

If the length of a timber [E = 1,800 ksi] column cannot change by more than 0.045 in., determine the maximum load P that can be applied to the column. Let b = 4.75 in., d = 9.50 in., and L = 102 in.

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 113 lb·ft, a = 2.6 ft, and b = 8.4 ft. Assume the beam cannot lift off of the supports.

A 3D printer is used to create a shock absorbed composed of two polymers. Polymer (1) [E = 120 ksi] has a cross-sectional area of 1.4 in.2. Polymer (2) [E = 240 ksi] has a cross-sectional area of 1.4 in.2. After the shock absorber is loaded between steel plates by load P = 670 lb, determine the load carried by polymer (2).

A 25-lb cardboard box sits on an oak beam. Determine the maximum bending moment in the beam if the weight is modeled as distributed load w = 1.2500 lb/in. Let a = 40 in. and b = 20 in.

A 3D printer is used to create a shock absorbed composed of two polymers. Polymer (1) [E = 260 ksi] has a cross-sectional area of 2.0 in.2. Polymer (2) [E = 240 ksi] has a cross-sectional area of 2.0 in.2. After the shock absorber is loaded between steel plates by load P = 475 lb, determine the load carried by polymer (2).

A 3D printed polymer rod measures 192.00 mm in length while on the heated print bed at 59.6°C. After cooling to room temperature at 20.1°C the rod measures 191.51 mm in length. Determine the coefficient of thermal expansion of the polymer.

A 31-lb cardboard box sits on an oak beam. Determine the maximum bending moment in the beam if the weight is modeled as distributed load w = 1.1071 lb/in. Let a = 34 in. and b = 28 in.

Axial loads are applied with rigid bearing plates to the solid cylindrical rods. One load of P = 100 kN is applied to the assembly at A, two loads Q = 40 kN are applied at B, and two loads R = 160 kN are applied at C. Determine the total change in length of the assembly.L1 = 0.24 m, E1 = 196 GPa, A1 = 0.0013 m2L2 = 0.48 m, E2 = 214 GPa, A2 = 0.0003 m2L3 = 0.30 m, E3 = 106 GPa, A3 = 0.0015 m2

A load of P = 9,900 lb is applied to the connection. If the average shear stress in the bolts is limited to 32 ksi and the required factor of safety is 2.1, determine the minimum allowable bolt diameter.