Figure Q3 (a) shows an overhanging beam ABC subjected to a uniformly distributed load w along AB and the beam cross-section is shown in Figure Q3 (b). The yield stress of the material is 250 MPa and...

Figure Q3 (a) shows an overhanging beam ABC subjected to a uniformly distributed load w along AB and the beam cross-section is shown in Figure Q3 (b). The yield stress of the material is 250 MPa and the material behaves linearly elastic-perfectly plastic.
a) Sketch the bending moment diagram of the beam.
b) Calculate the magnitude of moment that causes a plastic hinge (fully plastic) in the cross section.
c) Find the magnitude of w during plastic hinge at the most critical point.
d) Sketch a possible bending stress distribution across the beam's cross section when the flange has just fully yielded under partial plasticity (elastic-plastic) condition.