# GATE Questions & Answers of Plastic analysis of beams and frames

## What is the Weightage of Plastic analysis of beams and frames in GATE Exam?

Total 15 Questions have been asked from Plastic analysis of beams and frames topic of Steel Structures subject in previous GATE papers. Average marks 1.73.

The dimensions of a symmetrical welded I-section are shown in the figure.

The plastic section modulus about the weaker axis (in cm3, up to one decimal place) is ______

A prismatic propped cantilever beam of span $L$ and plastic moment capacity $M_p$ is subjected to a concentrated load at its mid-span. If the collapse load of the beam is $\alpha\frac{M_p}L$ , the value of $\alpha$ 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 concentrated load $\left(P\right)$ as shown in the figure. The beam has two different segments having different plastic moment capacities $(M_p,\;2M_p)$ as shown.

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

For formation of collapse mechanism in the following figure, the minimum value of Pu is cMp/L. Mp and 3Mp denote the plastic moment capacities of beam sections as shown in this figure. The value of c is________.

The ultimate collapse load (P) in terms of plastic moment Mp by kinematic approach for a propped cantilever of length L with P acting at its mid-span as shown in the figure, would be

A prismatic beam (as shown below) has plastic moment capacity of Mp, then the collapse load P of the beam is

As per IS 800:2007, the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by local buckling is classified as

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.

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

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.

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

The value of W that results in the collapse of the beam shown in the adjoining figure and having a plastic moment capacity of Mp is

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 a largest shape factor, is