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 $y=18.75 \mathrm{~mm}$, when the section has not yielded at the top and bottom fibres. Further, $y$ decreases to 5 mm , when the entire section has yielded. The shape factor of the section is ________ (rounded off to 2 decimal places).

A fixed-end beam is subjected to a concentrated load $$(P)$$ as shown in the figure. The beam has two different segments having different plastic moment capacities $$\left( {{M_P},\,2{M_P}} \right)$$ as shown.

The minimum value of load $$(P)$$ at which the beam would collapse (ultimate load) is

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 load is

A fixed end beam is subjected to a load, W at $$1/3rd$$ span from the left support as shown in the figure. The collapse load of the beam is