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A closed cylinder is made of a ductile steel that has a yield stress Y = 560 MPa. The inside diameter of the cylinder is 90 mm, and the outside diameter is 160 mm. It is subjected to an internal pressure of p1 = 115 MPa. Determine the factor of safety SF based on the maximum shear-stress criterion of failure.

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 = 0.31. It has an internal radius a = 85 mm and an external radius b = 260 mm. What is the change in length of this portion of the cylinder after p1 = 100 MPa is applied?

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 = 0.27. It has an internal radius a = 85 mm and an external radius b = 235 mm. What is the change in length of this portion of the cylinder after p1 = 95 MPa is applied?

In an I-beam subjected to simple bending about a horizontal axis, the maximum bending stress occurs _______.  

A thick-wall closed-end cylinder is made of an aluminum alloy [E = 71 GPa, ν = 0.30], has an inside diameter of 190 mm, and has an outside diameter of 810 mm. The cylinder is subjected to an internal pressure of 120 MPa and an axial load of P = 1,500 kN. Determine the axial stress.

The design of a white oak [E = 12.2 GPa, σPL = 30 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 3.0 against buckling. Determine the required width of the cross section.

A 14-ft-long simply supported timber beam carries vertical load P = 5.4 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.

A thick-wall closed-end cylinder is made of an aluminum alloy [E = 71 GPa, ν = 0.33], has an inside diameter of 190 mm, and has an outside diameter of 820 mm. The cylinder is subjected to an internal pressure of 100 MPa and an axial load of P = 1,700 kN. Determine the axial stress.

A steel I-beam [E = 200 GPa] has a depth of 123 mm, width of 71 mm, moment of inertia of Ix = 4.38 × 106 mm4, and length of 5 m. It rests on a hard rubber foundation. The value of the spring constant for the hard rubber is k0 = 0.310 N/mm3. If the beam is subjected to a concentrated load, P = 80 kN, at the center of the beam, determine the maximum flexural stress at the center of the beam. The bending moment at the center of the beam is 12.63 kN·m.

A short steel I-beam [E = 200 GPa] has a length of L = 4.00 m, depth of 300 mm, flange width of 128 mm, and moment of inertia of Ix = 94.1 × 106 mm4. The beam rests on a hard rubber elastic foundation whose spring constant is k0 = 0.300 N/mm3. If the beam is subjected to a concentrated load P = 270 kN at its center, determine the maximum bending moment. The value of β is 0.8451 /m.