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The curved member has a rectangular cross section with dimensions of b = 1.8 in. and d = 5.4 in. The inside radius of the curved bar is ri = 3.4 in. A load of P is applied at a distance of a = 8 in. from the center of curvature O. For an applied load of P = 7.4 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 = 4,100 N·m. Dimensions of the cross section are b1 = 72 mm, d1 = 18 mm, b2 = 18 mm, d2 = 54 mm, b3 = 33 mm, and d3 = 18 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 trapezoidal cross section with dimensions b1 = 70 mm, b2 = 37 mm, and d = 114 mm. The radial distance from O to A is ri = 130 mm. Determine the distance R from the center of curvature O to the centroid of the cross section.

The curved member has a rectangular cross section with dimensions of b = 1.2 in. and d = 5.4 in. The inside radius of the curved bar is ri = 3.5 in. A load of P is applied at a distance of a = 10 in. from the center of curvature O. For an applied load of P = 6.5 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 tee shape is subjected to a bending moment of M = 3,150 N·m. Dimensions of the cross section are b1 = 15 mm, d1 = 64 mm, b2 = 48 mm, and d2 = 23 mm. The radial distance from O to A is ri = 80 mm. Determine the circumferential stress σθθ at point A.

A steel I-beam [E = 200 GPa] has a depth of 120 mm, width of 75 mm, moment of inertia of Ix = 5.32 × 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 = 40 kN, at the center of the beam, determine the deflection at the center of the beam. The value of β is 1.490 /m.

The curved bar has a triangular cross section with dimensions b = 1.2 in. and d = 0.6 in. The inner radius of the curved bar is ri = 4.7 in. Determine the value of Am for the cross section.

The curved flanged shape is subjected to a bending moment of M = 3,300 N·m. Dimensions of the cross section are b1 = 68 mm, d1 = 19 mm, b2 = 19 mm, d2 = 60 mm, b3 = 31 mm, and d3 = 19 mm. The radial distance from O to A is ri = 180 mm. Determine the value of Am for the cross section.

A thick-wall closed-end cylinder is made of an aluminum alloy [E = 70 GPa, ν = 0.34], has an inside diameter of 210 mm, and has an outside diameter of 780 mm. The cylinder is subjected to an internal pressure of 160 MPa. Determine the circumferential stress at the inner radius.

The curved tee shape is subjected to a bending moment of M = 3,600 N·m. Dimensions of the cross section are b1 = 15 mm, d1 = 62 mm, b2 = 46 mm, and d2 = 23 mm. The radial distance from O to A is ri = 80 mm. Determine the value of Am’ used for the radial stress σrr at the intersection of the flange and web.