Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Start with the shear diagram. To use a segment of the left end of the beam to develop the expression for the shear, the vertical reaction at A must be known. Calculate the vertical reaction at A. Let a positive force act up.
Write an expression for the internal shear for an arbitrary point between A and B.
Write an expression for the internal shear for an arbitrary point between B and C.
Draw the shear diagram for the beam.
Write an expression for the bending moment at an arbitrary point between A and B. Use the standard sign convention for the internal moment for a beam.
Write an expression for the bending moment at an arbitrary point between B and C.
Draw the moment diagram for the beam.
Transcribed Image Text:### Diagram Explanation
The image shows a simply supported beam setup, which is commonly used in engineering and physics to study structural mechanics. The beam is horizontally placed with the following features:
- **Supports:**
- **A**: A pinned support is located at point A on the left, capable of supporting both vertical and horizontal forces.
- **C**: A roller support is located at point C on the right, which can only support vertical forces.
- **Loads:**
- There is a point load labeled **P** acting downward at a specific location on the beam.
- There is a uniformly distributed load represented by **w**, also acting downward along the entire length of the beam.
- **Distances:**
- The distance from support A to the point load P (at point B) is 2 meters.
- The distance from point load P to support C is 5 meters.
This setup is typical for analyzing reactions at the supports and internal stresses within the beam, considering both point and distributed loads.
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