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The curved tee shape is subjected to a bending moment of M = 3,080 N·m. Dimensions of the cross section are b1 = 15 mm, d1 = 62 mm, b2 = 43 mm, and d2 = 19 mm. The radial distance from O to A is ri = 89 mm. Determine the value of Am’ used for the radial stress σrr at the intersection of the flange and web.

A steel I-beam [E = 200 GPa] has a depth of 143 mm, width of 82 mm, moment of inertia of Ix = 5.11 × 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 = 0.240 N/mm3. If the beam is subjected to a concentrated load, P = 70 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 11.81 kN·m.

The curved tee shape is subjected to a bending moment of M = 3,100 N·m. Dimensions of the cross section are b1 = 14 mm, d1 = 63 mm, b2 = 48 mm, and d2 = 19 mm. The radial distance from O to A is ri = 91 mm. Determine the value of Am’ used for the radial stress σrr at the intersection of the flange and web.

A circular steel plate [E = 210 GPa, ν = 0.30, and Y = 270 MPa] has a radius a = 230 mm, and a thickness h = 30 mm. The plate is subjected to a load at the center of 62.3 kN spread over a radius of r0 = 115 mm. The edge is fixed. Determine the maximum principal stress in the plate.

A short steel I-beam [E = 200 GPa] has a length of L = 3.00 m, depth of 315 mm, flange width of 135 mm, and moment of inertia of Ix = 97.1 × 106 mm4. The beam rests on a hard rubber elastic foundation whose spring constant is k0 = 0.270 N/mm3. If the beam is subjected to a concentrated load P = 250 kN at its center, determine the value of β.

A circular steel plate [E = 190 GPa, ν = 0.27, and Y = 250 MPa] has a radius a = 230 mm, and a thickness h = 20 mm. The plate is subjected to a uniform pressure of 1.5 MPa. The edge is fixed. Determine the maximum deflection of the plate.

The curved tee shape is subjected to a bending moment of M = 3,320 N·m. Dimensions of the cross section are b1 = 14 mm, d1 = 61 mm, b2 = 44 mm, and d2 = 19 mm. The radial distance from O to A is ri = 79 mm. Determine the value of Am’ used for the radial stress σrr at the intersection of the flange and web.

The curved member has a rectangular cross section with dimensions of b = 1.4 in. and d = 5.0 in. The inside radius of the curved bar is ri = 3.3 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 = 6.6 kips, determine the magnitude of the bending moment M that occurs at the centroid of the cross section between points A and B.

A short steel I-beam [E = 200 GPa] has a length of L = 2.50 m, depth of 300 mm, flange width of 145 mm, and moment of inertia of Ix = 91.8 × 106 mm4. The beam rests on a hard rubber elastic foundation whose spring constant is k0 = 0.320 N/mm3. If the beam is subjected to a concentrated load P = 280 kN at its center, determine the maximum deflection. The value of β is 0.8916 /m.

A short steel I-beam [E = 200 GPa] has a length of L = 3.50 m, depth of 295 mm, flange width of 128 mm, and moment of inertia of Ix = 95.0 × 106 mm4. The beam rests on a hard rubber elastic foundation whose spring constant is k0 = 0.280 N/mm3. If the beam is subjected to a concentrated load P = 240 kN at its center, determine the maximum deflection. The value of β is 0.8287 /m.