# Bending Moment, Equation, Calculation and Diagram # Introduction of Bending Moment, Equation, Calculation and Diagram

A bending moment is simply the reaction to a moment or torque applied to an object. The term comes from the fact that when an object is placed under a load, the load will tend to bend the object. The amount of bending that occurs depends on the amount of force applied, the object’s material properties, and its dimensions.

The main equation for bending moment is M = I * âˆ‡Y, where M is the bending moment, I is the second moment of area, and âˆ‡Y is the change in deflection. This equation is used to calculate the bending moment at a specific point on a structure. The units for bending moment are typically Newton-meters (Nm

## What Is Definition of Bending Moment

• Bending moment is the force exerted by a beam or other structure when an external load is applied to it
• The bending moment is determined by the position of the load relative to the beam’s support points
• The farther the load is from the beam’s support points, the greater the bending moment will be
• The amount of bending moment can be increased by increasing the distance between the load and the support points, or by increasing the weight of the load.

## Types of Bending Moment

• Bending moment is the force acting on a member that produces a moment about the axis of the member
• The different types of bending moment are:

1

• Simply Supported Beam: A beam that is supported at each end is said to be simply supported
• The bending moment at the supports is zero.

2

• Overhang Beam: A beam that has one or both ends extending beyond the supports is said to be overhanging
• The bending moment at the supports is not zero.

3

• Cantilever Beam: A beam that is supported at one end and free at the other is said to be cantilevered
• The bending moment at the support is not zero.

4

• Fixed Beam: A beam that is supported at both ends and cannot rotate is said to be fixed
• The bending moment at the supports is not zero.

## What Do You Mean by Hogging Bending Moment

• The Hogging Bending Moment is the point where the overturning moment (the force trying to rotate the beam) is at its maximum
• This occurs at the bottom of the beam where the weight of the beam is the greatest
• The Hogging Bending Moment must be overcome by the sum of the moments of all the other forces acting on the beam.

## Sign Convention of Bending Moment

• Bending moment is the moment of force that causes a structure to bend
• The sign convention for bending moment is that a clockwise moment is positive and a counterclockwise moment is negative
• This is the convention that is used in most engineering calculations.

## Conclusion

Bending moment is one of the important concepts in Mechanics. It is widely used in the field of engineering for the analysis and design of structures. The calculation of bending moment is not a difficult task, but one must have a clear understanding of the concepts involved. Once the basics are understood, the calculation of bending moment becomes quite simple. The same principles can be used to calculate the shear force in a structure.