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A rectangular steel plate [E = 210 GPa, ν = 0.27, and Y = 250 MPa] has a width of 0.6 m, a length of 1.3 m, and a thickness of 20 mm. All four edges are simply supported. The plate is subjected to a uniform pressure of 190 kPa. Ignoring the effect of Poisson’s ratio, determine the maximum bending moment per unit width in the plate.

The curved tee shape has cross sectional dimensions of b1 = 1.40 in., d1 = 0.20 in., b2 = 0.20 in., and d2 = 1.55 in. The radial distance from O to A is ri = 2.90 in. Use Bleich’s correction factor α to determine the effective width of the flange b’.

A circular steel plate [E = 190 GPa, ν = 0.30, and Y = 300 MPa] with a central hole is fixed at the central hole, simply supported at the outer edge, and uniformly loaded as indicated in Case 4. For the plate, a = 300 mm, r0 = 60 mm, h = 10 mm, and p = 60 kPa. Determine the maximum deflection of the plate.

A rectangular steel plate [E = 190 GPa, ν = 0.27, and Y = 300 MPa] has a width of 0.8 m and a length of 1.1 m. All four edges are fixed. The plate is subjected to a uniform pressure p = 190 kPa. Using a working stress limit of σw = 150 MPa, determine the required thickness of the plate.

A circular steel plate [E = 190 GPa, ν = 0.30, and Y = 290 MPa] with a central hole is fixed at the central hole, guided at the outer edge, and uniformly loaded as indicated in Case 5. For the plate, a = 240 mm, r0 = 48 mm, h = 8 mm, and p = 70 kPa. Determine the maximum bending stress in the plate.

A circular steel plate [E = 205 GPa, ν = 0.28, and Y = 250 MPa] has a radius a = 230 mm, and a thickness h = 20 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 simply supported. Determine the maximum principal stress in the plate.

An infinite beam on an elastic foundation is subjected to a triangular load w = 16 N/mm over the segment L’ = 3 m. Determine the deflection at point B. Use E = 200 GPa, Ix = 70 × 106 mm4, and k = 9.0 N/mm2. The value of β is 0.6332 /m.

A 40-kN capacity hoist may be moved along a steel I-beam [E = 200 GPa]. The I-beam has a depth of 165 mm and moment of inertia Ix = 11.6 × 106 mm4. The beam is hung from a series of vertical steel rods [E = 200 GPa] of length 2.70 m, of diameter 20 mm, and spaced 300 mm center to center. For capacity load at the center of the beam, located under one of the rods, determine the value of β.

A rectangular steel plate [E = 210 GPa, ν = 0.27, and Y = 260 MPa] has a width of 0.9 m, a length of 1.3 m, and a thickness of 30 mm. The two shorter edges are fixed, and the two longer edges are simply supported. The plate is subjected to a uniform pressure of 80 kPa. Considering the effect of Poisson’s ratio, determine the maximum bending stress in the plate.

A circular steel plate [E = 195 GPa, ν = 0.28, and Y = 260 MPa] has a radius a = 260 mm, and a thickness h = 20 mm. The plate is subjected to a load at the center of 63.7 kN spread over a radius of r0 = 130 mm. The edge is simply supported. Determine the maximum principal stress in the plate.