Determine the deflection across the center of curvature of the cast iron curved beam in Problem 9.17 for P = 126 kN. E = 102.0 GPa and G = 42.5 GPa. Let k = 1.0 with the area in shear equal to the product of the web thickness and the depth.
Problem 9.17
Figure P9.17 shows a cast iron frame with a U-shaped cross section. The ultimate tensile strength of the cast iron is σu = 320 MPa.
a. Determine the maximum value of P based on a factor of safety SF = 4.00, which is based on the ultimate strength.
b. Neglecting the effect of stress concentrations at the fillet at the junction of the web and flange, determine the maximum radial stress when this load is applied.
c. Is the maximum radial stress less than the maximum circumferential stress?
FIGURE P9.17
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