GATE Mechanical (ME) Test: Bending Moment & Shear Force Diagram - 1 Free

A concentrated force, F is applied (perpendicular to the plane of the figure) on the tip of the bent bar shown in Figure. The equivalent load at a section close to the fixed end is:

Two identical cantilever beams are supported as shown, with their free ends in contact through a rigid roller. After the load P is applied, the free ends will have

A mass less beam has a loading pattern as shown in the figure. The beam is of rectangular cross -section with a width of 30 mm and height of 100 mm.

The maximum magnitude of bending stress (in MPa) is given by

The shapes of the bending moment diagram for a uniform cantilever beam carrying a uniformly distributed load over its length is:

Solve the problems and choose correct answers A steel beam of breadth 120 mm and height 750 mm is loaded as shown in the figure. Assume E_steel= 200 GPa.

The beam is subjected to a maximum bending moment of

A simply supported beam of span length 6m and 75mm diameter carries a uniformly distributed load of 1.5 kN/m

What is the maximum value of bending moment?

A simply supported beam is subjected to a distributed loading as shown in the diagram given below:

What is the maximum shear force in the beam?

A lever is supported on two hinges at A and C. It carries a force of 3 kN as shown in the above figure. The bending moment at B will be

The bending moment (M) is constant over a length segment (I) of a beam. The shearing force will also be constant over this length and is given by

Consider the following statements:

If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then

1. dM/dx = V

2. dV/dx = w      

3. dw/dx = y

(the deflection of the beam at the section)

Select the correct answer using the codes given below:

If the shear force acting at every section of a beam is of the same magnitude and of the same direction then it represents a

The shearing force diagram for a beam is shown in the above figure. The bending moment diagram is represented by which one of the following?

A vertical hanging bar of length L and weighing w N/ unit length carries a load W at the bottom. The tensile force in the bar at a distance Y from the support will be given by

Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.

Reason (R): The shear force acting on the beam will be zero everywhere along the length.

What is the bending moment at end supports of a simply supported beam?

If a beam is subjected to a constant bending moment along its length, then the shear force will

A simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supports

Which one of the following portions of the loaded beam shown in the given figure is subjected to pure bending?

 At the point of contraflexure, the value of bending moment is____

A freely supported beam at its ends carries a central concentrated load, and maximum bending moment is M. If the same load be uniformly distributed over the beam length, then what is the maximum bending moment?