Draw the shear and moment diagrams for the beam. 20 kip ft M : k wl * wI * wl

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Beam Analysis: Shear and Moment Diagrams**

In this exercise, we have a beam with specific loading and support conditions that require the construction of shear and moment diagrams. Here is the detailed explanation of the diagram provided:

**Beam Layout:**
- The beam is supported at the left end by a pin support and at the midpoint by a roller support.
- The beam spans a total length of 4 meters, divided into four equal segments of 1 meter each.
- An applied moment of 20 kip*ft acts at the right end of the beam.

**Diagram Explanation:**
1. **Supports:**
   - A triangular symbol at the left end represents a pin support that restricts both horizontal and vertical movements.
   - A circular arrow indicates a roller support placed 3 meters from the left end, which allows horizontal movement but restricts vertical movement.

2. **Loading:**
   - A moment of 20 kip*ft is applied at the right end of the beam. This causes the beam to experience bending, which will be reflected in the calculated moment diagram.

**Objectives:**
- Draw shear and moment diagrams based on the loading and support configuration.
- Use equilibrium equations to determine reactions at the supports if necessary.

This setup will help you understand how external moments influence shear forces and bending moments in static structures, providing a basis for more complex beam analysis problems.
Transcribed Image Text:**Beam Analysis: Shear and Moment Diagrams** In this exercise, we have a beam with specific loading and support conditions that require the construction of shear and moment diagrams. Here is the detailed explanation of the diagram provided: **Beam Layout:** - The beam is supported at the left end by a pin support and at the midpoint by a roller support. - The beam spans a total length of 4 meters, divided into four equal segments of 1 meter each. - An applied moment of 20 kip*ft acts at the right end of the beam. **Diagram Explanation:** 1. **Supports:** - A triangular symbol at the left end represents a pin support that restricts both horizontal and vertical movements. - A circular arrow indicates a roller support placed 3 meters from the left end, which allows horizontal movement but restricts vertical movement. 2. **Loading:** - A moment of 20 kip*ft is applied at the right end of the beam. This causes the beam to experience bending, which will be reflected in the calculated moment diagram. **Objectives:** - Draw shear and moment diagrams based on the loading and support configuration. - Use equilibrium equations to determine reactions at the supports if necessary. This setup will help you understand how external moments influence shear forces and bending moments in static structures, providing a basis for more complex beam analysis problems.
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