Simply Supported Beam With Udl And Point Load Formula

A simply supported beam is a beam that is supported by two or more supports. It is the most commonly used type of beam in engineering and construction. It is commonly used in bridges, buildings, and other structures. In this article, we will discuss the simply supported beam with UDL and point load formula.

What is a Simply Supported Beam?

A simply supported beam is a beam that is supported by two or more supports. It is the most commonly used type of beam in engineering and construction. It is commonly used in bridges, buildings, and other structures. A simply supported beam is one of the most basic types of beams, and it is the simplest beam to analyze.

A simply supported beam is made up of two supports, typically located at either end of the beam. The supports can be either fixed or pinned. Fixed supports cannot move, while pinned supports can rotate and translate, but not move in any other direction. The beam itself is free to rotate and translate along its length, but it cannot move in any other direction.

Types of Loads on a Simply Supported Beam

A simply supported beam can be subjected to two types of loads: uniform distributed load (UDL) and point load. A UDL is a load that is uniformly distributed along the length of the beam. It is often used to simulate the load due to the weight of the beam or the weight of a structure built on top of the beam. A point load is a concentrated load that is applied at a single point along the length of the beam. It is often used to simulate the load due to a person standing on the beam, or the weight of a structure built on top of the beam.

Simply Supported Beam With UDL

When a simply supported beam is subjected to a uniform distributed load (UDL), it will experience a bending moment along its length. The bending moment is caused by the weight of the beam itself, or the weight of a structure built on top of the beam. The bending moment is calculated using the following formula: M = wL/4, where M is the bending moment, w is the distributed load, and L is the length of the beam.

The bending moment is then used to calculate the maximum bending stress in the beam. The maximum bending stress is calculated using the formula: σ = Mc/I, where σ is the maximum bending stress, M is the bending moment, c is the distance of the outermost fibers from the neutral axis, and I is the moment of inertia of the beam.

Simply Supported Beam With Point Load

When a simply supported beam is subjected to a point load, it will also experience a bending moment along its length. The bending moment is calculated using the following formula: M = Px/2, where M is the bending moment, P is the point load, and x is the distance from the point of application of the load to the nearest support.

The bending moment is then used to calculate the maximum bending stress in the beam. The maximum bending stress is calculated using the formula: σ = Mc/I, where σ is the maximum bending stress, M is the bending moment, c is the distance of the outermost fibers from the neutral axis, and I is the moment of inertia of the beam.

Conclusion

Simply supported beams are the most commonly used type of beam in engineering and construction. They are used in bridges, buildings, and other structures. When a simply supported beam is subjected to a uniform distributed load (UDL) or a point load, it will experience a bending moment along its length. The bending moment is then used to calculate the maximum bending stress in the beam.