In this video, examples on support reaction of beam is explained in following Timestamps:

0:00 – Mechanics of Solid Lecture series - Examples based on Reaction of Beam
0:14 – Example-1
7:44 – Example-2
6:25 – Home work Example

Following points are covered in this video:

1. Example based on support reaction of beam for simply supported beam

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Details of Support reaction of beam:

When a beam is subjected to external loads, it is supported by various types of supports, and the beam and supports together form a structural system. In order for the beam to remain in equilibrium, the support reactions at the supports must balance the external loads acting on the beam.

The support reactions on a beam can be calculated using the principles of statics and equilibrium. For a simply supported beam with two supports, the reactions can be determined as follows:

Determine the total load acting on the beam, including any point loads, distributed loads, and moments.

Draw the free-body diagram of the beam, including the external loads acting on it.

Identify the reaction forces at the supports, which include a vertical reaction force at each support and a possible moment reaction at one or both supports.

Apply the equations of statics to determine the magnitude and direction of the support reactions.

For example, consider a simply supported beam with a uniformly distributed load and a point load acting on it. The load is applied at a distance from one of the supports.

To determine the support reactions, we can follow these steps:

Determine the total load acting on the beam, which is the sum of the distributed load and the point load.

Draw the free-body diagram of the beam, including the distributed load and the point load.

Identify the support reactions, which include a vertical reaction force at each support and a possible moment reaction at one or both supports.

Apply the equations of statics to determine the magnitude and direction of the support reactions.

Using the equations of statics, we can find that the magnitude of the support reactions are equal and half of the total load acting on the beam. The direction of the support reactions depends on the direction of the external loads acting on the beam.

In summary, the support reactions on a beam are the forces and moments developed at the supports in response to external loads acting on the beam. These support reactions can be calculated using the principles of statics and equilibrium.