Question $4$: Elasto$-$plastic Analysis

Tensile Yield Strength $=145$ MPA

Supposing that the beam is made of a perfectly elasto$-$plastic material with a yield strength equal to

the value Tensile Yield Strength $=145$ MPA

Question $4$ a$)$

Under the conditions defined above, what is the maximum elastic moment $MY$ for the section?

Question $4$ b$)$

Identify the plastic moment $MP$ and the shape factor for the section.

Question $4c)$

Produce a sketch showing the distribution of stresses across the beam section for an applied

moment of $M=\frac{3}{4}My+\frac{1}{3}Mp$

Question $4d$

Produce a sketch showing the distribution of residual stress across the beam section if the moment

applied in part $($c$)$ is removed.