Q$3$

The continuous beam shown in Figure $3$ has a symmetric cross section as shown. The beam has a yield stress of $\backslash (400\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$mm$\}^\{2\}\backslash ).$

a$)$ Determine the elastic yield moment and the plastic moment for the beam

b$)$ Determine the shape factor for the beam.

c$)$ Sketch the collapse bending moment and collapse mechanism for the beam separately.

d$)$ Find the critical collapse load for the beam.