Four yellow pine [E = 12.4 GPa] boards are glued together to form a column with outer dimensions of 170 mm by 170 mm and a length of 7.5 m. The thickness of each board is 20 mm. One end of the column is pinned and the other end is guided. Determine the critical buckling load.

For a beam with the cross-section shown (w = 15.5 in. and h = 21.0 in.), find the distance from the bottom surface of the beam to the centroid.

Determine the distance e to the shear center O for the beam cross section. Assume the following dimensions and moment of inertia.a = 55 mmb = 35 mmc = 70 mmt = 4 mmI = 1,454,000 mm4

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 14-ft-long simply supported timber beam carries load P = 2.0 kip at midspan. Load P and the ground reactions all lie in a plane that forms an angle θ = 22° counterclockwise from the y axis. Determine the magnitude of the maximum bending stress in the beam.

For the shape below, assume the following dimensions:b = 80 mmd = 140 mmt = 10 mmThe vertical distance from point H to the centroid is 100 mm. The horizontal distance from point H to the centroid is 25 mm. Determine the product of inertia Iyz with respect to the y and z centroidal axes.

A cast iron disk has an inner radius of a = 170 mm and an outer radius of b = 300 mm, with material properties ρ = 7,500 kg/m3, E = 63 GPa, ν = 0.23. Determine the maximum radial stress in the disk for a speed of revolution of 5,700 rpm.

A thick-wall closed-end cylinder is made of an aluminum alloy [E = 70 GPa, ν = 0.31], has an inside diameter of 200 mm, and has an outside diameter of 810 mm. The cylinder is subjected to an internal pressure of 150 MPa and an external pressure of 120 MPa. Determine the radial stress at r = 280 mm.

Determine the distance e to the shear center O for the beam cross section. Assume the following dimensions and moment of inertia.b = 40 mmh = 60 mmt = 3 mmI = 648,200 mm4

An automotive lug nut was torqued too much and broke the wheel stud that it was attached to. The stud had a diameter of 0.424 in. and an allowable shear stress of 75 ksi. Ignoring any stress concentrations, determine the failure torque.