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A 14-ft-long simply supported timber beam carries load P = 4.2 kip at midspan. Load P and the ground reactions all lie in a plane that forms an angle θ = 13° counterclockwise from the y axis. Determine the magnitude of the maximum bending stress in the beam.

Determine the distance e to the shear center O for the beam cross section. Assume the following dimensions and moment of inertia.b = 45 mmh = 65 mmt = 3 mmI = 834,600 mm4

The design of a white oak [E = 12.4 GPa, σPL = 30 MPa] column of square cross section has the following requirements. It must be 8.0 m long, it must have pinned ends, and it must support an axial load of 90 kN with a factor of safety of 5.0 against buckling. Determine the required width of the cross section.

Four yellow pine [E = 12.2 GPa] boards are glued together to form a column with outer dimensions of 170 mm by 170 mm and a length of 7.1 m. The thickness of each board is 20 mm. One end of the column is clamped and the other end is pinned. Determine the critical buckling load.

A steel I-beam rests on a hard rubber foundation. If the beam is subjected to a concentrated load at the center of the beam, determine the value of Dβz at a distance of z = 40 mm from the center of the beam. The value of β is 1.599 /m.

Determine the distance e to the shear center O for the beam cross section. Assume the following dimensions and moment of inertia.a = 60 mmb = 45 mmc = 70 mmt = 3 mmI = 1,465,000 mm4

Determine the distance e to the shear center O for the beam cross section. Assume the following dimensions and moment of inertia.a = 60 mmb = 45 mmc = 90 mmt = 4 mmI = 2,917,000 mm4

Four yellow pine [E = 12.5 GPa] boards are glued together to form a column with outer dimensions of 130 mm by 130 mm and a length of 6.7 m. The thickness of each board is 20 mm. One end of the column is clamped and the other end is guided. Determine the critical buckling load.

If w = 5.75 in., find the moment of inertia Iz about the z axis. The centroid of the section is located 2.6520 in. above the bottom surface of the beam.

A thick-wall closed-end cylinder is made of an aluminum alloy [α = 0.0000220/°C, E = 70 GPa, ν = 0.30], has an inside diameter of 220 mm, and has an outside diameter of 790 mm. Determine the circumferential stress at the outer radius for a steady-state temperature change with the temperature at the inner radius 105°C greater than the temperature at the outer radius.