Most Important Point In This Article

## Definition of Shear Force and Bending Moment

### Shear Force

- Shear force is the
**unbalanced vertical force which is acting on to the right or left of the section.** - It’s also termed as aligned forces pushing
**one part of the body in the specific direction,**and the**other part**of the**body is another direction.** - Sometimes, a
**crack is developed in a body from the parallel shear force acting**in a different direction at another point of the body. - Colinear forces are also
**termed as compressive forces.**

### Bending Moment

- Bending moment is the
**algebraic sum of all the moment of forces, according to the right or left of the section.** - It’s the reaction which is induced in a
**structural element due to external force or moment is applied.** - In the
**equilibrium position**, the moment which is created by**external forces is balanced by the couple**induced by the internal load; this internal couple is**called a bending moment.**

## What Is Shear Force : Sign Convention of Shear Force:

- Shear force is an unbalanced vertical force, so it tends to
**slide one portion of the beam upward or downward with respect to the other.** - Shear force at a section is considered as
**positive when the left-hand portion tends to slide upward, or the right-hand portion tends to slide downward.** - Same as a shear force at a section is
**negative when the left-hand portion tends to slide downward, or the right-hand portion tends to slide upward.**

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## What Is Bending Moment : Sign Convention for Bending Moment:

- We considered bending moment at a section is positive when it tends to bend the beam at a point to a curvature having a
**concavity at the top**or when the moments are acting**clockwise direction to the left or anti-clockwise direction to the right.** - On the other hand, we considered bending moment at a section is negative when it tends to bend the beam at a point to a curvature having
**convexity at the top**or moments are taken**anti-clockwise direction to the left or clockwise direction to the right.** - Sometimes the positive bending moment is termed as
**sagging moment,**and the negative bending moment is termed as a**hogging moment.**

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## Relation Between Loading, Shear Force & Bending Moment:

The following relations are essential for loading, shear force and bending moment relation-

- If there is a point load at a section on the beam, then the shear force suddenly changes
**(i.e. the shear force line is vertical).**But the bending moment remains the same. - If there is no load between two points, then the
**shear force does not change**(I.e. shear force line is horizontal) but the**bending moment changes linearly**(I.e. bending moment line is an inclined straight line). - If there is a uniformly distributed load between two points, then the
**shear force changes linearly**(I.e. shear line is an inclined straight line). But the bending moment changes according to the**parabolic law**(i.e. bending moment line will be parabola). - If there us a uniformly varying load between two points then the shear force changes according to the
**parabolic law**(i.e. shear force line will be parabola) but the bending moment changes according to the**cubic law.** - Where
**shear force changes, it’s sign there bending moment is maximum.** - Where bending moment changes, it’s a sign that point is known as
**the point of contra flexure or inflation point.**

## What Is Shear Force and Bending Moment

**Shear** and **bending moment** diagrams are analytical tools used in conjunction with structural analysis to help perform structural design by determining the value of **shear force and bending moment** at a given point of a structural element such as a beam.

## Definition of Shear Force and Bending Moment

**Shear force**is taken +ve if it produces a clockwise**moment**and it is taken -ve when it produces an anticlockwise**moment**.**Bending moment**at any point along a loaded beam may be**defined**as the sum of the**moments**due to all vertical**forces**acting on either side of the point on the beam.

## What Is Meant by Shear Force

**Shearing force** is **defined** as the **force** transverse to the beam at a given section tending to cause it to **shear** at that section.

## Shear Force

A **shear force** is a **force** applied perpendicular to a surface, in opposition to an offset **force** acting in the opposite direction. This results in a **shear** **strain**. In simple terms, one part of the surface is pushed in one direction, while another part of the surface is **pushed in the opposite direction**.

## Bending moment

In solid mechanics, a **bending moment** is the reaction induced in a structural element when an external force or **moment** is applied to the element, causing the element to bend. The most common or simplest structural element subjected to **bending moments** is the beam.

## Shear Force and Bending Moment:

**Shear force** is taken +ve if it produces a clockwise **moment** and it is taken -ve when it produces an anticlockwise **moment**. **Bending Moment** – **Bending moment** at any point along a loaded beam may be defined as the sum of the **moments** due to all vertical **forces** acting on either side of the point on the beam.

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