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The curved bar has a triangular cross section with dimensions b = 1.4 in. and d = 0.6 in. The inner radius of the curved bar is ri = 4.6 in. Determine the value of Am for the cross section.

The curved bar has a trapezoidal cross section with dimensions b1 = 76 mm, b2 = 31 mm, and d = 101 mm. The radial distance from O to A is ri = 145 mm. Determine the distance R from the center of curvature O to the centroid of the cross section.

A rectangular steel plate [E = 200 GPa, ν = 0.28, and Y = 250 MPa] has a width of 0.6 m, a length of 1.4 m, and a thickness of 30 mm. All four edges are fixed. The plate is subjected to a uniform pressure of 140 kPa. Considering the effect of Poisson’s ratio, determine the maximum bending moment per unit width in the plate.

A circular steel plate [E = 205 GPa, ν = 0.28, 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 = 240 mm, r0 = 160 mm, h = 8 mm, and p = 60 kPa. Determine the maximum bending stress in the plate.

An elliptical steel plate [E = 195 GPa, ν = 0.27, and Y = 240 MPa] has a width of 0.7 m, a length of 1.2 m, and a thickness of 30 mm. The edges are fixed. The plate is subjected to a uniform pressure of 120 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 1.4 m, and a thickness of 15 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.

A rectangular steel plate [E = 195 GPa, ν = 0.27, and Y = 240 MPa] has a width of 0.7 m, a length of 1.1 m, and a thickness of 30 mm. All four edges are simply supported. The plate is subjected to a uniform pressure of 150 kPa. Considering the effect of Poisson’s ratio, determine the maximum bending stress in the plate.

A rectangular steel plate [E = 210 GPa, ν = 0.30, and Y = 260 MPa] has a width of 0.7 m and a length of 1.1 m. All four edges are fixed. The plate is subjected to a uniform pressure p = 110 kPa. Using a working stress limit of σw = 130 MPa, determine the required thickness of the plate.

A rectangular steel plate [E = 195 GPa, ν = 0.29, and Y = 230 MPa] has a width of 0.8 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 170 kPa. Ignoring the effect of Poisson’s ratio, determine the maximum bending moment per unit width in the plate.

A rectangular steel plate [E = 190 GPa, ν = 0.29, and Y = 260 MPa] has a width of 0.6 m, a length of 1.4 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 140 kPa. Determine the maximum deflection of the plate.