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The curved member has a rectangular cross section with dimensions of b = 1.2 in. and d = 4.8 in. The inside radius of the curved bar is ri = 3.7 in. A load of P is applied at a distance of a = 9 in. from the center of curvature O. For an applied load of P = 6 kips, determine the magnitude of the bending moment M that occurs at the centroid of the cross section between points A and B.

The curved flanged shape is subjected to a bending moment of M = 3,200 N·m. Dimensions of the cross section are b1 = 69 mm, d1 = 15 mm, b2 = 15 mm, d2 = 59 mm, b3 = 32 mm, and d3 = 15 mm. The radial distance from O to A is ri = 180 mm. Determine the value of Am for the cross section.

The curved bar has a triangular cross section with dimensions b = 1.1 in. and d = 0.5 in. The inner radius of the curved bar is ri = 4.5 in. Determine the value of Am for the cross section.

A thick-wall closed-end cylinder is made of an aluminum alloy [E = 71 GPa, ν = 0.31], has an inside diameter of 220 mm, and has an outside diameter of 800 mm. The cylinder is subjected to an internal pressure of 180 MPa. Determine the circumferential stress at r = 365 mm.

A thick-wall closed-end cylinder is made of an aluminum alloy [E = 71 GPa, ν = 0.33], has an inside diameter of 220 mm, and has an outside diameter of 750 mm. The cylinder is subjected to an internal pressure of 130 MPa and an axial load of P = 1,700 kN. Determine the axial stress.

An infinite beam on an elastic foundation is subjected to a triangular load w = 12 N/mm over the segment L’ = 4 m. Determine the bending moment at point B. Use E = 200 GPa, Ix = 75 × 106 mm4, and k = 9.0 N/mm2. The value of β is 0.6223 /m.

A steel I-beam [E = 200 GPa] has a depth of 130 mm, width of 76 mm, moment of inertia of Ix = 5.78 × 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 = 0.300 N/mm3. Determine the value of β.

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 Bβz at a distance of z = 40 mm from the center of the beam. The value of β is 1.580 /m.

The curved tee shape is subjected to a bending moment of M = 3,250 N·m. Dimensions of the cross section are b1 = 13 mm, d1 = 68 mm, b2 = 44 mm, and d2 = 21 mm. The radial distance from O to A is ri = 84 mm. Determine the circumferential stress σθθ at point A.

A steel I-beam [E = 200 GPa] has a depth of 115 mm, width of 78 mm, moment of inertia of Ix = 5.76 × 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 = 0.280 N/mm3. If the beam is subjected to a concentrated load, P = 60 kN, at the center of the beam, determine the bending moment at the center of the beam. The value of β is 1.475 /m.