# Shear Force and Bending Moment Diagram Calculator (Simply Supported Beam)

The Shear Force and Bending Moment Diagram Calculator is a tool for calculating the support reactions, maximum bending moment, and maximum shear force for a simply supported beam with a point load at the center.

The calculator allows the user to input the span (L) of the beam and the point load (P) applied at the center, and then calculates and displays the resulting support reactions, maximum bending moment, and maximum shear force. The calculator also generates a scatter plot showing the variation of shear force and bending moment along the beam.

This tool is useful for engineers and designers who need to analyze the behavior of beams under various loading conditions and determine the dimensions and material properties required to ensure structural integrity and safety.

# Beam Calculator

Enter the following information to calculate the support reactions, maximum bending moment, and maximum shear force for a simplysupported beam with a point load at the center:

meters

kN

Results:

Support ReactionsMaximum Bending Moment (kN.m)Maximum Shear Force (kN)

## What is shear force?

Shear force and bending moment are two important concepts in the field of structural engineering that relate to the internal forces and deformations experienced by beams. A beam is a structural element that is subjected to external loads, and the distribution of these loads along the length of the beam can cause the beam to experience shear forces and bending moments.

Shear force refers to the force that acts perpendicular to the cross section of a beam and tends to cause the beam to shear or break along its length. It is important to understand the distribution of shear force along a beam in order to design the beam with an appropriate size and shape to withstand the loads it will experience.

## What is bending moment?

Bending moment, on the other hand, refers to the moment or torque exerted on a beam that causes it to bend. Bending moment is a result of the loads acting on a beam and the distance between the beam and the point at which the loads are applied. The distribution of bending moment along a beam is important for determining the size and shape of the beam, as well as the type and location of any reinforcement that may be needed to strengthen the beam.

## What is shear force and bending moment diagram?

A shear force and bending moment diagram is a graphical representation of the distribution of shear force and bending moment along the length of a beam. These diagrams are used to determine the maximum shear force and bending moment experienced by a beam, as well as the location of any points of inflection (points where the direction of the shear force or bending moment changes). This information is then used to design the beam to have an appropriate size and shape to withstand the loads it will experience.

Overall, understanding the concepts of shear force and bending moment, and being able to create a shear force and bending moment diagram, are essential skills for structural engineers. These concepts allow engineers to design beams that are strong and capable of withstanding the loads they will experience, ensuring the safety and stability of the structures.