Shear Force and Bending Moment · Strength of Materials Or Solid Mechanics · GATE CE

In the frame shown in the figure (not to scale), all four members (AB, BC, CD, and AD) have the same length and same constant flexural rigidity. All t...

Consider a simply supported beam PQ as shown in the figure. A truck having 100 kN on the front axle and 200 kN on the rear axle, moves from left to ri...

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 ...

A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support P is ______ N (round off to o...

Consider the beam shown in the figure (not to scale), on a hinge support at end A and a roller support at end B. The beam has a constant flexural rigi...

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 ...