GATE CE

Strength of Materials Or Solid Mechanics

Shear Force and Bending Moment

Previous Years Questions

## Marks 1

A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?

The following statements are related to bending of beams:
$${\rm I}.$$ The slope of the bending moment diagram is equal to the shear force.
$${\rm II}...

A curved number with a straight vertical leg is carrying a vertical load at $$Z,$$ as shown in the figure. The stress resultants in the $$XY$$ segmen...

A cantilever beam curved in plan and subjected to lateral loads will develop at any section

A beams having a double cantilever attached at mid span is showing in the figure. The nature of forces in beam $$'ab'$$ is
...

## Marks 2

Consider the three prismatic beams with the clamped supports $$P,Q$$ and $$R$$ as shown in the figures.
Given that the modulus of elasticity, $$E$$ i...

The values of axial stress $$\left( \sigma \right)$$ in $$kN/{m^2},$$ bending moment $$(M)$$ in $$kNm,$$ and shear force $$(V)$$ in $$kN$$ acting at ...

A uniform beam weighing $$1800$$ $$N$$ is supported at $$E$$ and $$F$$ by cable $$ABCD$$. Determine the tension (in $$N$$) in segment $$AB$$ of this c...

Two people weighing W each are sitting on a plank of length $$L$$ floating on water at $$L/4$$ from either end. Neglecting the weight of the plank, th...

For the simply supported beam of length $$L,$$ subjected to a uniformly distributed moment $$(M)$$ $$kN$$-$$m$$ per unit length as shown in the figure...

Match List- $${\rm I}$$ (Shear Force Diagrams) beams with List- $${\rm II}$$ (Diagram of beams with supports and loading) and select the correct answe...

A simply supported beam $$AB$$ has the bending moment diagram as shown in the following figure :
The beam is possibly under the action of following...

The bending Moment diagram for a beam is given below:
The shear force at sections $$aa'$$ and $$bb'$$ respectively are of the magnitude ...

A three-span continuous beam has an internal hinge at $$B.$$ Section $$B$$ is at the mid-span of $$A.C.$$ Section $$E$$ is at the mid-span of $$CG$$. ...

A three-span continuous beam has an internal hinge at $$B.$$ Section $$B$$ is at the mid-span of $$A.C.$$ Section $$E$$ is at the mid-span of $$CG$$. ...

List - $${\rm I}$$ shows different loads acting on a beam and list - $${\rm II}$$ shows different bending moment distributions. Match the load with th...

For the loading given in the figure below, two statements ( $${\rm I}$$ and $${\rm II}$$ ) are made.
$${\rm I}.$$ $$\,\,\,\,\,\,\,\,\,$$Member $$AB$...

A frame $$ABCD$$ is supported by a roller at $$A$$ and is on a hinge at $$C$$ as shown below:
The reaction at the roller end $$A$$ is given by ...