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If rod (1) elongates 0.352 mm and rod (2) elongates 0.358 mm, determine how far downward E moves. Let a = 0.38 m and b = 0.81 m.

A steel [E = 200 GPa; ν = 0.3; α = 11.3 ×10-6/°C] plate has a rectangular hole at its center and four circular holes at the corners. At an initial temperature of Ti = –23°C, the plate is 95 mm wide, 135 mm long, and 17 mm thick. The rectangular hole is 30 mm wide and 70 mm long. The circular holes have a diameter of 18 mm. At a final temperature of Tf = 41°C, determine the diameter of the circular holes.

If the length of a timber [E = 1,200 ksi] column cannot change by more than 0.010 in., determine the maximum load P that can be applied to the column. Let b = 5.00 in., d = 9.25 in., and L = 106 in.

A load of P = 480 lb is applied to beam ABC. Determine the vertical ground reaction at B. Let a = 32 in., b = 14 in., and c = 8 in.

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 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.