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The curved tee shape is subjected to a bending moment of M = 3,500 N·m. Dimensions of the cross section are b1 = 12 mm, d1 = 62 mm, b2 = 46 mm, and d2 = 19 mm. The radial distance from O to A is ri = 82 mm. Determine the value of Am’ used for the radial stress σrr at the intersection of the flange and web.

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 = 190 GPa, ν = 0.31, Y = 270 MPa] and has a length of 5.0 m. Determine the slenderness ratio.

The curved bar has a triangular cross section with dimensions b = 1.3 in. and d = 0.9 in. The inner radius of the curved bar is ri = 4.8 in. Determine the value of Am for the cross section.

A 60-kN capacity hoist may be moved along a steel I-beam [E = 200 GPa]. The I-beam has a depth of 141 mm and moment of inertia Ix = 11.5 × 106 mm4. The beam is hung from a series of vertical steel rods [E = 200 GPa] of length 2.40 m, of diameter 18 mm, and spaced 350 mm center to center. For capacity load at the center of the beam, located under one of the rods, determine the value of β.

The curved member has a rectangular cross section with dimensions of b = 1.4 in. and d = 5.3 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 = 5.2 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 bar has a triangular cross section with dimensions b = 1.2 in. and d = 0.8 in. The inner radius of the curved bar is ri = 5.0 in. Determine the value of Am for the cross section.

The curved tee shape is subjected to a bending moment of M = 3,390 N·m. Dimensions of the cross section are b1 = 16 mm, d1 = 60 mm, b2 = 50 mm, and d2 = 19 mm. The radial distance from O to A is ri = 84 mm. Determine the value of Am’ used for the radial stress σrr at the intersection of the flange and web.

A thick-wall closed-end cylinder is made of an aluminum alloy [E = 70 GPa, ν = 0.32], has an inside diameter of 200 mm, and has an outside diameter of 810 mm. The cylinder is subjected to an internal pressure of 140 MPa and an axial load of P = 2,400 kN. Determine the axial stress.

The curved tee shape is subjected to a bending moment of M = 3,460 N·m. Dimensions of the cross section are b1 = 16 mm, d1 = 68 mm, b2 = 46 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 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 Aβz at a distance of z = 90 mm from the center of the beam. The value of β is 1.448 /m.