Assuming that the beam ABC in Figure $2$ below is classified as Class $1($Plastic$),$ calculate the minimum Plastic Moment capacity of the beam such that it will just collapse under the given loadings. Sketch the bending moment diagram at collapse, clearly showing the maximum moments for each span and clearly state which section will collapse.

Draw the bending moment diagram at collapse.

Assume that the beam is fully fixed at $A.$

Figure $2$