Shear force and bending moment in various types of beam

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Shear force in beam -

When a force is applied on the body and if shear force is tried to find out, then the observer has to bisect the body into two parts. First one is right hand portion and first one part will be on right hand and the second one will be left hand part or portion. The right hand portion should be taken as a positive shear force and left hand portion should be taken as the negative shear force, if the direction of the forces try to move the body in clockwise direction. The right-hand portion should be taken as negative shear force and the left-hand portion should be taken as negative shear force, if the force tries to move the observed body in the anticlockwise direction.

Bending moment in various types of beam -

When a load is applied on the body and if the observer wants to find out bending moment generated in the body, then the observer has to bisect the body into two parts. First one is right hand portion and second one will be left hand part or portion.

The right hand portion and the left hand portion should be taken as positive bending moment, if it tries to move the body in upward direction. In language of engineering, it is called sagging.

The right hand portion and the left hand portion should be taken as negative bending moment, if it tries to move the body in downward direction. In language of engineering, it is called hogging.

If there is a beam and several types of forces are applied on that, then firstly , bisect the beam into the two section. The midpoint between the two forces, should be line at which the beam should be cut.

There is a cantilever beam. There is a load of 5 N acting on it.

The beam is bisected into two parts.

The right portion of the beam is trying to move the body in clockwise direction, as well as, the left portion of the beam is trying to move the body in clockwise direction. So, both are taken as positive shear force.

The right portion of the beam is trying to move the body in clockwise direction, in downward direction of the beam, but it is known as hogging. Here the bending moment is negative impact.

The left portion of the beam is trying to move the body in anticlockwise direction, and is known as the sagging. Here the bending moment is positive impact.