Problem 8.3 - Find and plot the shear (V) and bending moment (M) equations as functions of x.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 8.3** - Find and plot the shear (V) and bending moment (M) equations as functions of x.

### Diagram Description:

The diagram shows a beam supported at two points: a pin support at point A on the left and a roller support at point B on the right. The beam is subject to two downward forces:

1. A 9 kip force located 3 feet from point A.
2. A 6 kip force located 8 feet from point A, which is 5 feet away from the first force.

The span between point A and point B is a total of 15 feet, divided as follows:

- 3 feet from A to the first force.
- 5 feet between the two forces.
- 7 feet from the second force to B.

**Objective:**
- Determine the shear and moment equations along the length of the beam and plot these values as functions of the position \( x \).

**Key Concepts:**

- **Shear Force (V):** The internal force perpendicular to the cross-section of the beam.
- **Bending Moment (M):** The internal moment that causes the beam to bend.
Transcribed Image Text:**Problem 8.3** - Find and plot the shear (V) and bending moment (M) equations as functions of x. ### Diagram Description: The diagram shows a beam supported at two points: a pin support at point A on the left and a roller support at point B on the right. The beam is subject to two downward forces: 1. A 9 kip force located 3 feet from point A. 2. A 6 kip force located 8 feet from point A, which is 5 feet away from the first force. The span between point A and point B is a total of 15 feet, divided as follows: - 3 feet from A to the first force. - 5 feet between the two forces. - 7 feet from the second force to B. **Objective:** - Determine the shear and moment equations along the length of the beam and plot these values as functions of the position \( x \). **Key Concepts:** - **Shear Force (V):** The internal force perpendicular to the cross-section of the beam. - **Bending Moment (M):** The internal moment that causes the beam to bend.
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