plastic analysis

Consider the beam section shown in the figure, with y indicating the depth of neutral axis (NA). The section is only subjected to an increasing bending moment. It is given that y =...

Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place) for the c...

If the section shown in the figure turns from fully-elastic to fully-plastic, the depth of neutral axis (N.A.), $\bar{y}$, decreases by

A propped cantilever of span $$L$$ carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is $${M_P}$$, the magnitude of the collapse l...

In the theory of plastic bending of beams, the ratio of plastic moment to yield moment is called

The shape of the cross-section, which has the largest shape factor, is

A cantilever beam of length $$l,$$ width $$b$$ and depth $$d$$ is loaded with a concentrated vertical load at the tip. If yielding starts at a load $$P,$$ the collapse load shall b...

For a fixed beam with span $$L,$$ having plastic moment capacity of $${{M_p}}$$, the ultimate central concentrated load will be

Equilibrium condition, yield conditions $$\left( {M \le {M_p}} \right)$$ and mechanism condition (formation of a plastic collapse mechanism) are the conditions to be satisfied by a...