Blog

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.

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.