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

An elliptical shaft has major and minor dimensions of 48 mm and 24 mm, respectively. The allowable shear stress of the material is 150 MPa. Determine the maximum torque that can be applied using a factor of safety of 2.9.

The design of a white oak [E = 12.5 GPa, σPL = 27 MPa] column of square cross section has the following requirements. It must be 7.5 m long, it must have pinned ends, and it must support an axial load of 80 kN with a factor of safety of 5.0 against buckling. Determine the required width of the cross section.

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 = 55 mmt = 3 mmI = 514,400 mm4

If w = 5.00 in., find the moment of inertia Iz about the z axis. The centroid of the section is located 2.5833 in. above the bottom surface of the beam.

An elliptical shaft has major and minor dimensions of 44 mm and 20 mm, respectively. The allowable shear stress of the material is 160 MPa. Determine the maximum torque that can be applied using a factor of safety of 2.9.

A cast iron disk has an inner radius of a = 145 mm and an outer radius of b = 290 mm, with material properties ρ = 6,800 kg/m3, E = 65 GPa, ν = 0.27. Determine the maximum radial stress in the disk for a speed of revolution of 6,000 rpm.

An elliptical shaft has major and minor dimensions of 52 mm and 30 mm, respectively. The allowable shear stress of the material is 150 MPa. Determine the maximum torque that can be applied using a factor of safety of 1.8.

A thick-wall closed-end cylinder is made of an aluminum alloy [E = 73 GPa, ν = 0.34], has an inside diameter of 190 mm, and has an outside diameter of 830 mm. The cylinder is subjected to an internal pressure of 160 MPa and an external pressure of 200 MPa. Determine the radial stress at r = 165 mm.

A 14-ft-long simply supported timber beam carries vertical load P = 12.7 kip at midspan. The cross-sectional dimensions of the timber are shown. At section a-a, determine the magnitude of the bending stress in the beam at point H.