Plastic Analysis · Structural Analysis · GATE CE
Marks 1
For the square steel beam cross-section shown in the figure, the shape factor about Z - Z axis is S and the plastic moment capacity is Mp. Consider yield stress fy = 250 MPa and a = 100 mm.
The values of S and Mp (rounded off to one decimal place) are





Marks 2

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




If load $$P=80$$ $$kN,$$ find the reaction ܴ$$R$$ (in $$kN$$) (correct to $$1$$-decimal place)using elastic analysis ___________

If the magnitude of loadܲ is increased till collapse and the plastic moment carrying capacity of steel beam section is $$90$$ $$kN$$-$$m$$, ݇ܰ݉determine reaction ܴ$$R$$(in ݇ܰ$$kN$$)(correct to $$1$$-decimal place) using plastic analysis. ____________






The length $${L_P}$$ of the plastic zone, when the maximum bending moment, equals the plastic moment $${M_P}$$, given by




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

Marks 5

