## Marks 1

The ultimate collapse load $$(P)$$ in terms of plastic moment $${M_P}$$ by kinematic approach for a propped cantilever of length $$L$$ with $$P$$ acti...

Match the information given in Group $$-$$ $${\rm I}$$ with those in Group $$-$$ $${\rm II}.$$
...

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 resistanc...

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

For a fixed beam with span $$L,$$ having plastic moment capacity of $${{M_p}}$$, the ultimate central concentrated load will be

If $$'YY'$$ is the centroidal axis of a $$T$$-beam section, subjected to plastic moment, $${M_P},$$ the neutral axis lies
...

Equilibrium condition, yield conditions $$\left( {M \le {M_p}} \right)$$ and mechanism condition (formation of a plastic collapse mechanism) are the c...

Number of independent displacement modes (sway mechanisms) for the given frame with the load shown there in are
...

The number of independent mechanisms the gable frame will have when loaded as shown is
...

## Marks 2

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 mome...

A propped cantilever of span $$L$$ carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is $${M_P}$$, t...

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 $$c{M_P}/L.$$ $${M_P}$$ and $$3{M_P}$$ denote the pla...

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

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 loadܲ is in...

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 value of $$W$$ that results in the collapses of the beam shown in the adjoining figure and having a plastic moment capacity of $${M_P}$$ 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 ...

The plastic collapse load $${{W_P}}$$ for the propped cantilever supporting two point loads as shown in the figure in terms of plastic moment capacity...

When the triangular section of a beam as shown below becomes a plastic hinge, the compressive force acting on the section (with $${\sigma _y}$$ denoti...

A cantilever beam of length $$l,$$ width $$b$$ and depth $$d$$ is loaded with a concentrated vertical load at the tip. If yielding starts at a load $$...

A steel portal frame has dimensions, plastic moment capacitance and applied loads as shown in the figure. The vertical load is always twice of the hor...

A steel beam (with a constant $$EI,$$ and span $$L$$) is fixed at both ends and carries a uniformly distributed load ($$w$$ $$kN/m$$), which is gradua...

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

A cantilever beam of length $$L$$ and a cross section with shape factor $$'f'$$ supports a concentrated load $$P$$ as shown below:
The length $${L_P}...

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 $$...

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-sect...

A Propped cantilever beam is shown below. The plastic moment capacity of the beam is $${M_P}.$$ The collapse load is
...

## Marks 5

Calculate the shape factor for the $$T$$-section shown in the following figure made up of two plates $$100\,\,mm \times 10\,\,mm.$$ What will be the l...

The steel portal frame shown in figure is subjected to an imposed service load of $$15$$ $$kN$$. Compute the required plastic moment capacity of the m...