A beam of the cross section shown is extruded from an aluminum alloy for which σy = 250 MPa and σy = 450 MPa. Using a factor of safety of 3.00, determine the largest couple that can be applied to the beam when it is bent about the z axis. 24 mm M₂ 24 mm L= Last 2 student's ID#: + 120 mm T= Last 2 student's ID#: + 20 mm T L

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5. A 4-point bending test is performed on a beam of length L = 1 m. A load of P = 2000 N is applied across two loading points a distance a = 0.4 m from the sides of the beam. If the beam has a radius of r = 1 cm and a yield strength of σ = 250 MPa, does the bar yield? If it's an elastic-perfectly plastic material, does it fail all the way through the thickness of the bar? What would the yield strength of the material need to be if we wanted a factor of safety of 1.5?

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