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. ### Diagram ExplanationThe 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.

Answered: Image /qna-images/answer/a4e66452-b59c-4cf0-9075-a77bd69ec6ef.jpg

Answered: -2 m- P B 5 m W C

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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.

### 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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