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A circular steel plate [E = 210 GPa, ν = 0.31, and Y = 250 MPa] has a radius a = 260 mm, and a thickness h = 15 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.

A rectangular steel plate [E = 210 GPa, ν = 0.29, and Y = 250 MPa] has a width of 0.8 m, a length of 1.3 m, and a thickness of 30 mm. The two longer edges are fixed, and the two shorter edges are simply supported. The plate is subjected to a uniform pressure of 60 kPa. Considering the effect of Poisson’s ratio, determine the maximum bending stress in the plate.

A rectangular steel plate [E = 190 GPa, ν = 0.29, and Y = 260 MPa] has a width of 0.7 m, a length of 1.4 m, and a thickness of 20 mm. All four edges are simply supported. The plate is subjected to a uniform pressure of 190 kPa. Considering the effect of Poisson’s ratio, determine the maximum bending stress in the plate.

A circular steel plate [E = 195 GPa, ν = 0.31, and Y = 280 MPa] with a central hole is fixed at the central hole, free at the outer edge, and uniformly loaded as indicated in Case 3. For the plate, a = 300 mm, r0 = 100 mm, h = 10 mm, and p = 60 kPa. Determine the maximum bending stress in the plate.

A rectangular steel plate [E = 195 GPa, ν = 0.27, and Y = 240 MPa] has a width of 0.8 m, a length of 1.1 m, and a thickness of 15 mm. All four edges are simply supported. The plate is subjected to a uniform pressure of 150 kPa. Ignoring the effect of Poisson’s ratio, determine the maximum bending moment per unit width in the plate.

A circular steel plate [E = 210 GPa, ν = 0.30, and Y = 280 MPa] with a central hole is simply supported at the central hole, free at the outer edge, and uniformly loaded as indicated in Case 2. For the plate, a = 300 mm, r0 = 150 mm, h = 12 mm, and p = 60 kPa. Determine the maximum bending stress in the plate.

A circular steel plate [E = 200 GPa, ν = 0.27, and Y = 300 MPa] with a central hole is free at the central hole,simply supported at the outer edge, and uniformly loaded as indicated in Case 7. For the plate, a = 240 mm, r0 = 192 mm, h = 9 mm, and p = 50 kPa. Determine the maximum bending stress in the plate.

An elliptical steel plate [E = 210 GPa, ν = 0.29, and Y = 240 MPa] has a width of 0.8 m, a length of 1.3 m, and a thickness of 15 mm. The edges are fixed. The plate is subjected to a uniform pressure of 140 kPa. Ignoring the effect of Poisson’s ratio, determine the factor of safety with respect to the yield stress.

A rectangular steel plate [E = 210 GPa, ν = 0.27, and Y = 270 MPa] has a width of 0.9 m, a length of 1.2 m, and a thickness of 35 mm. The two longer edges are fixed, and the two shorter edges are simply supported. The plate is subjected to a uniform pressure of 70 kPa. Considering the effect of Poisson’s ratio, determine the maximum bending stress in the plate.

A rectangular steel plate [E = 190 GPa, ν = 0.28, and Y = 270 MPa] has a width of 0.6 m, a length of 1.1 m, and a thickness of 20 mm. All four edges are simply supported. The plate is subjected to a uniform pressure of 150 kPa. Ignoring the effect of Poisson’s ratio, determine the maximum bending moment per unit width in the plate.