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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 3.50-in. wide by 1.50-in. thick rectangular bar made of steel with a yield strength of σY = 33.9 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.

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?

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 axial member consisting of two polymer bars is supported at C as shown. Bar (1) has a cross-sectional area of 735 mm2 and an elastic modulus of 28 GPa. Bar (2) has a cross-sectional area of 1,550 mm2 and an elastic modulus of 15.8 GPa. Determine the deflection of point A relative to support C.

A steel [E = 30,400 ksi, α = 6.4×10–6/°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 = 6,000 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 1.8, determine the minimum allowable bolt diameter.

An aluminum [E = 10,000 ksi] control rod with a circular cross section must not stretch more than 0.34 in. when the tension in the rod is 2,400 lb. If the diameter of the rod is 0.380 in., determine the maximum length of the rod.

A load of P = 450 lb is applied to beam ABC. Bar (1) is made of aluminum [E = 10,600 ksi] and has a circular cross section with a diameter of 1.04 in. Determine the magnitude of the change in length of bar (1) due to the load. Let a = 38 in., b = 13 in., and c = 11 in.

Two pieces of high-density polyethylene [E = 0.94 GPa] tubing are bonded together and support load P = 102 N. Both tubes are 150 mm long. The outer tube has an outsider diameter of 23.0 mm and an inside diameter of 18.4 mm. The inner tube has an outside diameter of 18.4 mm and an inside diameter of 14.4 mm. Determine the load carried by the inner tube.

The pin-connected structure is subjected to a load P=242 N as shown. Inclined member (1) is connected to rigid member ABC. Determine the magnitude of the resultant force at pin A.