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If the normal stress in rod (1) is limited to 215 MPa and the required factor of safety is 2.1, determine the maximum load P that can be applied to rod (2). Let a = 0.34 m, b = 0.81 m, and the cross-sectional area of rod (1) be 150 mm2.

If rod (1) elongates 0.382 mm and rod (2) elongates 0.465 mm, determine how far downward E moves. Let a = 0.44 m and b = 0.79 m.

If the length of a timber [E = 1,000 ksi] column cannot change by more than 0.045 in., determine the maximum load P that can be applied to the column. Let b = 4.25 in., d = 9.25 in., and L = 110 in.

An aluminum rod with a 23.5-in. gage length and a 0.575-in. diameter is loaded in tension. At the proportional limit, a load of 16,000 lb elongates the gage length by 0.144 in. and reduces the diameter by 0.00088 in. Determine the Poisson’s ratio.

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.

Axial loads are applied with rigid bearing plates to the solid cylindrical rods. One load of P = 120 kN is applied to the assembly at A, two loads Q = 20 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 = 192 GPa, A1 = 0.0012 m2L2 = 0.42 m, E2 = 210 GPa, A2 = 0.0005 m2L3 = 0.38 m, E3 = 108 GPa, A3 = 0.0015 m2

A load of P = 150 lb is applied to beam ABC. Bar (1) has a circular cross section with a diameter of 0.83 in. Determine the normal stress in bar (1). Let a = 33 in., b = 14 in., and c = 8 in.

A steel [E = 200 GPa; ν = 0.3; α = 10.9 ×10-6/°C] plate has a rectangular hole at its center and four circular holes at the corners. At an initial temperature of Ti = –16°C, the plate is 85 mm wide, 140 mm long, and 13 mm thick. The rectangular hole is 25 mm wide and 75 mm long. The circular holes have a diameter of 25 mm. At a final temperature of Tf = 48°C, determine the length of the rectangular hole.

A load of 88 kN is applied to a triangular shape that protrudes 15.3 mm from a brass plate. The triangular shape has a base of 26.9 mm and a height of 18.2 mm. Determine the average shear stress between the plate and the protrusion.

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.