A pin-connected crane framework is loaded and supported, as shown. The member weights are post, 700 lb; boom, 800 lb; and brace, 600 lb. These weights may be considered to be acting at the midpoint of the respective members. Calculate the pin reactions at pins A, C, D, E and at the roller B - Draw Free-body diagram.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
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A pin-connected crane framework is loaded and supported, as shown. The member weights are post, 700 lb; boom, 800 lb; and brace, 600 lb. These weights may be considered to be acting at the midpoint of the respective members. Calculate the pin reactions at pins A, C, D, E and at the roller B

- Draw Free-body diagram.

- Solve most simpliest way, only solving for what you are asked for.

The diagram depicts a structural framework featuring a loaded beam and several support points. Here's a detailed breakdown:

### Structural Details:

- **Beam AF**: Supports a downward force of 5000 lb at point F. 
- **Length of AF**: The horizontal span from F to E is 3’-0”, and from E to C is 6’-0”, totaling a 9’-0” horizontal extension.
  
### Support Points and Connections:

- **Point A**: Provides a ground support, represented by a triangular symbol indicating a pinned support, offering resistance against horizontal and vertical movements.

- **Point B**: Connected to a wall or a fixed surface, providing lateral support 2’-0” above C.

- **Points C, D, and E**: Are hinge points allowing rotation between connected members.
  
- **Vertical Members**: 
  - **BC**: Measures 2’-0” vertically.
  - **CD**: Measures 8’-0” vertically.
  - **DA**: Measures 6’-0” vertically.

### Angular Support BE:

- BE forms a diagonal support, which helps in maintaining the framework stability under the applied load at F. Its precise angular and tension characteristics are not specified within the diagram but are crucial in ensuring structural integrity.

### Loading and Forces:

The red arrow at F indicates the direction and magnitude of the external load. It acts vertically downwards, applying tension to the entire structure, especially affecting the beam AF and the supporting connections at points E and B.

This diagram is typically used in engineering mechanics to analyze forces, moments, and to ensure the stability and balance of framed structures under various load conditions.
Transcribed Image Text:The diagram depicts a structural framework featuring a loaded beam and several support points. Here's a detailed breakdown: ### Structural Details: - **Beam AF**: Supports a downward force of 5000 lb at point F. - **Length of AF**: The horizontal span from F to E is 3’-0”, and from E to C is 6’-0”, totaling a 9’-0” horizontal extension. ### Support Points and Connections: - **Point A**: Provides a ground support, represented by a triangular symbol indicating a pinned support, offering resistance against horizontal and vertical movements. - **Point B**: Connected to a wall or a fixed surface, providing lateral support 2’-0” above C. - **Points C, D, and E**: Are hinge points allowing rotation between connected members. - **Vertical Members**: - **BC**: Measures 2’-0” vertically. - **CD**: Measures 8’-0” vertically. - **DA**: Measures 6’-0” vertically. ### Angular Support BE: - BE forms a diagonal support, which helps in maintaining the framework stability under the applied load at F. Its precise angular and tension characteristics are not specified within the diagram but are crucial in ensuring structural integrity. ### Loading and Forces: The red arrow at F indicates the direction and magnitude of the external load. It acts vertically downwards, applying tension to the entire structure, especially affecting the beam AF and the supporting connections at points E and B. This diagram is typically used in engineering mechanics to analyze forces, moments, and to ensure the stability and balance of framed structures under various load conditions.
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