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An elliptical steel plate [E = 190 GPa, ν = 0.27, and Y = 250 MPa] has a width of 0.9 m, a length of 1.1 m, and a thickness of 20 mm. The edges are fixed. The plate is subjected to a uniform pressure of 110 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 = 0.28, and Y = 260 MPa] has a width of 0.9 m, a length of 1.3 m, and a thickness of 30 mm. All four edges are simply supported. The plate is subjected to a uniform pressure of 100 kPa. Considering 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 = 0.28, and Y = 240 MPa] has a radius a = 260 mm, and a thickness h = 25 mm. The plate is subjected to a uniform pressure of 1.6 MPa. The edge is fixed. Determine the maximum deflection of the plate.

A rectangular steel plate [E = 195 GPa, ν = 0.31, and Y = 240 MPa] has a width of 0.7 m, a length of 1.3 m, and a thickness of 20 mm. All four edges are fixed. The plate is subjected to a uniform pressure of 170 kPa. Considering 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 = 240 MPa] has a radius a = 260 mm, and a thickness h = 15 mm. The plate is subjected to a uniform pressure of 1.4 MPa. The edge is simply supported. Determine the maximum deflection of the plate.

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 60 kPa. Considering the effect of Poisson’s ratio, determine the maximum bending stress in the plate.

A rectangular steel plate [E = 200 GPa, ν = 0.28, and Y = 270 MPa] has a width of 0.8 m and a length of 1.3 m. All four edges are fixed. The plate is subjected to a uniform pressure p = 100 kPa. Using a working stress limit of σw = 135 MPa, determine the required thickness of the plate.

A rectangular steel plate [E = 190 GPa, ν = 0.28, and Y = 260 MPa] has a width of 0.7 m and a length of 1.4 m. All four edges are fixed. The plate is subjected to a uniform pressure p = 100 kPa. Using a working stress limit of σw = 130 MPa, determine the required thickness of the plate.

A circular steel plate [E = 205 GPa, ν = 0.30, 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 45.7 kN spread over a radius of r0 = 115 mm. The edge is simply supported. Determine the maximum principal stress in the plate.

A circular steel plate [E = 200 GPa, ν = 0.31, and Y = 290 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 = 240 mm, r0 = 60 mm, h = 10 mm, and p = 60 kPa. Determine the maximum deflection of the plate.