The four cross sections shown below are required to be ordered in the increasing order of their respective shape factors.

The shape factor of the section shown in fig. is

The plastic modulus of a section is $$4.8 \times {10^{ - 4}}\,\,{m^3}.$$ The shape factor is $$1.2$$. The plastic moment capacity of the section is $$120$$ $$kN$$-$$m.$$ The yield stress of the material is

The fixed beam $$AB$$ has a span of $$3000$$ $$mm$$ and is of uniform cross-section. The plastic moment capacity $$({M_P})$$ of the beam's cross-section is $$1.5 \times {10^8}\,\,N$$-$$mm.$$

The beam will have like a simply supported beam when the magnitude of distributed load $$P$$ attains a value equal to: