Plastic Analysis Practice Questions

The steel angle section shown in the figure has elastic section modulus of $150.92 \mathrm{~cm}^{3}$ about the horizontal X-X axis, which passes through the centroid of the section. The shape factor of the section is_______ (rounded off to 2 decimal places)

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 $M_P$ . Consider yield stress $f_y = 250 MPa$ and $a = 100 mm.$ The values of $S$ and $M_P$ (rounded-off to one decimal place) are

A prismatic steel beam is shown in the figure. The plastic moment, $M_{p}$ calculated for the collapse mechanism using static method and kinematic method is

The ratio of the plastic moment capacity of a beam section to its yield moment capacity is termed as

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

The dimensions of a symmetrical welded I-section are shown in the figure. The plastic section modulus about the weaker axis (in $cm^{3}$ , 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 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 $(M_{p},2M_{p})$ 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:

For formation of collapse mechanism in the following figure, the minimum value of $P_{u}$ is $cM_{p}/L$ . $M_{p}$ and $3M_{p}$ denote the plastic moment capacities of beam sections as shown in this figure. The value of c is _____.

A prismatic beam (as shown below) has plastic moment capacity of $M_{p}$ , then the collapse load P of the beam is

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

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 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 $M_{P}$ 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 the largest shape factor, is

A continuous beam is loaded as shown in the figure below. Assuming a plastic moment capacity equal to $M_P$ , the minimum load at which the beam would collapse is