An elliptical shaft has major and minor dimensions of 56 mm and 30 mm, respectively. The allowable shear stress of the material is 190 MPa. Determine the maximum torque that can be applied using a factor of safety of 1.6.

For the shape below, assume the following dimensions:b = 100 mmd = 160 mmt = 8 mmThe vertical distance from point H to the centroid is 118.51 mm. The horizontal distance from point H to the centroid is 30.744 mm. Determine the product of inertia Iyz with respect to the y and z centroidal axes.

A solid bar with cross-sectional dimensions of 95 mm by 95 mm is used as a pinned-end column. It is made of structural steel [E = 210 GPa, ν = 0.28, Y = 250 MPa] and has a length of 5.0 m. Determine the slenderness ratio.

A pinned-end column has a cross-sectional area of 2,100 mm2, radius of gyration of 12.927 mm, and length of 710 mm. It is made of 7070-T5 aluminum alloy [E = 73 GPa, ν = 0.33, σPL = 540 MPa]. The column has a solid circular cross section. Determine the critical buckling stress.

Consider a 1-m length of an unloaded cylinder at a location in the cylinder some distance from the ends. The long closed cylinder is made of a steel for which E = 205 GPa and ν = 0.29. It has an internal radius a = 75 mm and an external radius b = 240 mm. Determine the radial displacement at the inner surface after p1 = 95 MPa is applied?

A 0.917-in.-diameter automotive sway bar failed when the shear stress reached 72 ksi on the outer surface. Assuming the sway bar did not yield prior to failure, determine the torque that caused this failure.

For a beam with the cross-section shown, find the distance from the bottom surface of the beam to the centroid. Let w = 1.35 in. and h = 2.00 in.

Consider a 1-m length of an unloaded cylinder at a location in the cylinder some distance from the ends. The long closed cylinder is made of a steel for which E = 195 GPa and ν = 0.28. It has an internal radius a = 85 mm and an external radius b = 270 mm.   Determine the radial displacement at the outer surface after p1 = 70 MPa is applied?

The design of a white oak [E = 12.6 GPa, σPL = 22 MPa] column of square cross section has the following requirements. It must be 6.0 m long, it must have pinned ends, and it must support an axial load of 80 kN with a factor of safety of 2.0 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.a = 50 mmb = 40 mmc = 75 mmt = 3 mmI = 1,353,000 mm4