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A thick-wall closed-end cylinder is made of an aluminum alloy [E = 71 GPa, ν = 0.30], has an inside diameter of 200 mm, and has an outside diameter of 810 mm. The cylinder is subjected to an internal pressure of 170 MPa and an axial load of P = 1,500 kN. Determine the axial stress.

If w = 9.75 in., find the moment of inertia Iz about the z axis. The centroid of the section is located 2.9142 in. above the bottom surface of the beam.

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 = 0.28. It has an internal radius a = 95 mm and an external radius b = 275 mm.   Determine the radial displacement at the outer surface after p1 = 95 MPa is applied?

A thick-wall closed-end cylinder is made of an aluminum alloy [α = 0.0000230/°C, E = 73 GPa, ν = 0.31], has an inside diameter of 220 mm, and has an outside diameter of 750 mm. Determine the circumferential stress at the inner radius for a steady-state temperature change with the temperature at the inner radius 105°C greater than the temperature at the outer radius.

A pinned-end column has a cross-sectional area of 2,200 mm2, radius of gyration of 13.231 mm, and length of 720 mm. It is made of 7070-T5 aluminum alloy [E = 73 GPa, ν = 0.32, σPL = 520 MPa]. The column has a solid circular cross section. Determine the critical buckling stress.

The curved tee shape is subjected to a bending moment of M = 3,000 N·m. Dimensions of the cross section are b1 = 13 mm, d1 = 66 mm, b2 = 47 mm, and d2 = 22 mm. The radial distance from O to A is ri = 78 mm. Determine the value of Am’ used for the radial stress σrr at the intersection of the flange and web.

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 6.2 m. The thickness of each board is 20 mm. One end of the column is clamped and the other end is free. 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 = 100 mm from the center of the beam. The value of β is 1.616 /m.

A thick-wall closed-end cylinder is made of an aluminum alloy [α = 0.0000230/°C, E = 72 GPa, ν = 0.33], has an inside diameter of 220 mm, and has an outside diameter of 770 mm. Determine the circumferential stress at the outer radius for a steady-state temperature change with the temperature at the inner radius 110°C greater than the temperature at the outer radius.

Which point experiences the largest magnitude of horizontal shear stress?