A load of P = 8,100 lb is applied to the connection. If the average shear stress in the bolts is limited to 34 ksi and the required factor of safety is 2.0, determine the minimum allowable bolt diameter.

An aluminum [E = 10,000 ksi] control rod with a circular cross section must not stretch more than 0.21 in. when the tension in the rod is 2,200 lb. If the diameter of the rod is 0.380 in., determine the maximum length of the rod.

Rigid bar ABC is supported by pin-connected axial member (1) and by a pin connection at C as shown. A 6,300-lb concentrated load is applied to the rigid bar at A. Member (1) is a 2.95-in. wide by 1.65-in. thick rectangular bar made of steel with a yield strength of σY = 32.8 ksi. The pin at C has an ultimate shear strength of τult = 60 ksi. Determine the factor of safety in member (1) with respect to its yield strength.

A steel [E = 30,600 ksi, α = 6.7×10–6/°F] bar is held between two rigid supports. The bar is stress free at a temperature of 74°F. The bar is then heated uniformly. If the yield strength of the steel is 60 ksi, determine the temperature at which yield first occurs.

A load of P = 715 lb is applied to beam ABC. Bar (1) is made of brass [E = 15,700 ksi] and has a circular cross section with a diameter of 0.81 in. Determine the magnitude of the change in length of bar (1) due to the load. Let a = 29 in., b = 13 in., and c = 8 in.

A load of P = 555 lb is applied to beam ABC. Bar (1) is made of aluminum [E = 10,200 ksi] and has a circular cross section with a diameter of 0.77 in. Determine the magnitude of the change in length of bar (1) due to the load. Let a = 35 in., b = 13 in., and c = 8 in.

An aluminum [E = 10,000 ksi] control rod with a circular cross section must not stretch more than 0.23 in. when the tension in the rod is 2,200 lb. If the diameter of the rod is 0.378 in., determine the maximum length of the rod.

An aluminum [E = 10,000 ksi] control rod with a circular cross section must not stretch more than 0.20 in. when the tension in the rod is 2,000 lb. If the diameter of the rod is 0.370 in., determine the maximum length of the rod.

Two pieces of high-density polyethylene [E = 0.86 GPa] tubing are bonded together and support load P = 105 N. Both tubes are 150 mm long. The outer tube has an outsider diameter of 21.0 mm and an inside diameter of 16.2 mm. The inner tube has an outside diameter of 16.2 mm and an inside diameter of 12.2 mm. Determine the load carried by the outer tube.

The bell crank shown is supported by a single shear pin connection at B and a roller support at C. An external load of P = 1,750 lb at an angle of θ = 38° acts on the bell crank at A. The pin at B has a diameter of d = 1.125 in., and the ultimate shear strength of the pin material is σU = 64,000 psi. Use dimensions of a = 11.0 in. and b = 5.5 in.What is the factor of safety of pin B with respect to its ultimate shear strength?