A cast-iron I-beam has a depth of 150 mm, width of 100 mm, and equal flange and web thicknesses of 20 mm. The beam is subjected to 106 cycles of loading from Mmin = 5.00 kN • m to Mmax. Consider the cast iron to be a brittle material (σu = 200 MPa and σam = 90.0 MPa for N = 106). Using the Goodman relation, determine Mmax based on a factor of safety SF = 2.50.
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