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4B and the beam cross-section is shown in Figure Q3 (b) The yield stress of the material is 250 MPs and the material behaves linearly elastic-perfectly plastic. Figure Q3 (a) shows an overhanging beam ABC subjected to a uniformly distributed load w along a) Sketch the bending moment dingram of the beam b) Calculate the magnitade of moment that causes a plastic hinge (fully plastic) in the cross section Find the magnitude of w during plastic hinge at the most critical point. Sketch a possible bending stress distribution across the beams cross section when the flange has just fully yielded under partial plasticity (elastic-plastic) condition. c) d) (10 marks) mt Figure Q3 (a) 20 100 15 All dimentions in mm 10 10

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