Simply Supported Beam With Uniformly Distributed Load

Solved A simply supported beam of length L 10 m carries a

Introduction

Simply supported beam with uniformly distributed load is one of the most common and useful structural elements in the engineering world. It is a type of beam that is simply supported on two ends and carries a uniform load along its length. This type of beam is used in many engineering applications such as bridges, buildings, and other structures. The main purpose of this type of beam is to support the weight of the structure and its contents.

Calculating the Loads and Moments

The loads and moments acting on a simply supported beam with a uniform load can be easily calculated with the help of the equations of statics. The equations of statics are the basic equations of mechanics that are used to calculate the forces, moments and other physical quantities acting on a structure. The equations of statics can be used to calculate the loads and moments acting on a simply supported beam with a uniform load.

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Calculating the Shear Force and Bending Moment Diagrams

The shear force and bending moment diagrams of a simply supported beam with a uniform load can be determined by solving the equations of statics. The shear force diagram shows the variation of shear force along the length of the beam while the bending moment diagram shows the variation of bending moment along the length of the beam. The shear force and bending moment diagrams are important for the design and analysis of the beam.

Design Considerations

Once the loads and moments acting on a simply supported beam with a uniform load have been calculated, it is necessary to consider the design of the beam. The design of the beam should take into account the loads, moments and the type of material used. The design should also consider the required stiffness and strength of the beam. This will ensure that the beam is able to support the loads and moments without failure.

Types of Simply Supported Beams

There are several different types of simply supported beams with a uniform load. These include cantilever beams, simply supported beams with a point load, and simply supported beams with uniform loads. Each type of beam has different characteristics and is used for different applications. The type of beam used will depend on the type of load, the material used, and the required stiffness and strength.

Conclusion

Simply supported beam with uniformly distributed load is one of the most common and useful structural elements used in the engineering world. The loads and moments acting on a simply supported beam with a uniform load can be easily calculated with the help of the equations of statics. The shear force and bending moment diagrams of a simply supported beam with a uniform load can be determined by solving the equations of statics. The design of the beam should take into account the loads, moments and the type of material used. There are several different types of simply supported beams with a uniform load, each of which has different characteristics and is used for different applications.

Table of Loads and Moments

The table below shows the loads and moments acting on a simply supported beam with a uniform load.

Loads Moments
Force F1 Moment M1
Force F2 Moment M2
Force F3 Moment M3
Force F4 Moment M4

References

1. Principles of Structural Design: Wood, Steel, and Concrete, Second Edition, 2005, by Gaylord, Gaylord and Stallmeyer.

2. Structural Mechanics of Wood, Steel and Concrete, Second Edition, 2012, by Singh and Jones.

3. Mechanics of Structures, Fifth Edition, 2018, by Johnson and Korman.