Monday, 25 June 2018

APPLICATION OF STATICS TO BEAM PROBLEMS

BEAM:  A beam is structural element which has one dimension(length) consider larger than the other two dimensions (width,depth) and is supported a few points.

Types of Beams

1.Simply supported Beam

When both ends of beam are simply supported.It can support load in the direction normal to its axis.

2.Over-hanging Beam

If a beam is projecting beyond the support.

3.Cantilever Beam

If a beam is fixed at one end and is free at the other end.

4. Propped Beam

It is a beam with one end is fixed and other end simply supported.

5.Both Ends Hinged

These beams both ends swill be having hinged support.

6. Continuous Beam

It is supported at more than two points.

Types of Supports


1. Simple support

The beam in rest simply.In this case the reaction at the support is at right angles to the support and the beam is free to move in the direction of its axis.It is rotate about the support.

2.Roller support

The beam end is supported on rollers. The reaction is normal to the support since rollers treated as friction less. Many mechanical components are having roller supports which roll between guides.

3. Hinged support

A beam cannot move any direction in this beam. It can rotate about the support. The support will not develop any resisting mount. But it can develop support reaction in any direction to keep the end is stationary.

4.Fixed support

In this beam the end is not free to rotate or translate. But translation is prevented by develop reaction support in any direction.

Types of Loads

1. Concentrated Loads

If the load is acting on a beam over a very small length. It is approximately acting at the mid point.

2. Uniformly Distributed Loads(UDL)

This Loads has got uniform distributed for long distances. To find reaction the load may be assume to total load acts at the centre of gravity.

3.Uniformly Varying Loads(UVL)

This loads vary from long distances uniformly. The area of the triangle represents the total load and the centroid of the triangle represents the triangle centre of gravity of the load.

3.General Loads

The ordinate represents the intensity of loading and abscissa represents position of the load on the

4.External Loads

A beam may be subjected to "External moment at certain point".