Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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System of Forces
A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum ch…
Question

Determine the sheer force and moment at points C and D.

### Lever System Diagram This diagram illustrates a horizontal beam with various loads applied at specific points and supported at ends with a fulcrum under the beam. Here's a detailed breakdown: 1. **Beam (AE)**: - The beam is horizontally aligned and extends from point A to point E. 2. **Supports and Fulcrum**: - **Point A** is supported by a base. This serves as one of the support points of the beam. - **Fulcrum (C)**: Located 10 feet from point A, the fulcrum is a pivotal support placed under the beam, balancing the loads. 3. **Load Distribution**: - **500 lb Load**: Positioned 6 feet from point A. - **200 lb Load (B)**: Positioned 10 feet from point A, directly above the fulcrum. - **300 lb Load**: Positioned 18 feet from point A, 2 feet from point E. 4. **Distances Along the Beam**: - The distance between A and C is 6 feet. - The distance from C to B is 4 feet. - The span from B to D is 4 feet. - From D to E, the distance is 8 feet (6 feet from D to the end of the beam plus 2 feet to point E). This setup demonstrates principles of static equilibrium and can be used to analyze the forces acting on the beam, calculating reactions at the supports, or understanding torque and balance in mechanical structures.
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Transcribed Image Text:### Lever System Diagram This diagram illustrates a horizontal beam with various loads applied at specific points and supported at ends with a fulcrum under the beam. Here's a detailed breakdown: 1. **Beam (AE)**: - The beam is horizontally aligned and extends from point A to point E. 2. **Supports and Fulcrum**: - **Point A** is supported by a base. This serves as one of the support points of the beam. - **Fulcrum (C)**: Located 10 feet from point A, the fulcrum is a pivotal support placed under the beam, balancing the loads. 3. **Load Distribution**: - **500 lb Load**: Positioned 6 feet from point A. - **200 lb Load (B)**: Positioned 10 feet from point A, directly above the fulcrum. - **300 lb Load**: Positioned 18 feet from point A, 2 feet from point E. 4. **Distances Along the Beam**: - The distance between A and C is 6 feet. - The distance from C to B is 4 feet. - The span from B to D is 4 feet. - From D to E, the distance is 8 feet (6 feet from D to the end of the beam plus 2 feet to point E). This setup demonstrates principles of static equilibrium and can be used to analyze the forces acting on the beam, calculating reactions at the supports, or understanding torque and balance in mechanical structures.
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