What is the x component of the reaction |(lb) (exerted on the boom by the wall) at C. A? What is the y component of the reaction D. (Ib) at A? What is the z component of the reaction E. |(lb) A?

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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The tension in the cable for BDC is 43.04 lb

and the tension in the cable for CE is 79.16 lb

 

 

**Diagram Explanation:**

The diagram illustrates a boom AC in a three-dimensional coordinate system with axes labeled x, y, and z. The boom AC is shown in a position where it is in equilibrium, meaning it is stable and not in motion. 

- **Boom AC**: Represented by a blue line, it extends from point A to point C.
- **Supporting Cables**: Two cables are connected to the boom—one at point D and another at point E.
  - **Point D** is located 4 feet along the z-axis and 3 feet along the x-axis from the origin.
  - **Point E** is located 3 feet along both the x- and y-axes.
- **Ball-and-Socket Joint at A**: Allows the boom to pivot in any direction.
- **Suspended Crate**: Attached at point C, weighing 62 lb (pounds).

**Dimensions and Distances**:
- The blue boom has dimensions marked as 7.8 feet.
- The distance from point E to the origin is labeled as 7.0 feet.
- The boom’s extension along the x- and y-axes is 4 feet.

**Text Explanation:**

"Boom AC has negligible weight and is in equilibrium. The boom is supported by cables at D and E and a ball-and-socket joint at A. The suspended crate weighs 62 lb." 

This indicates that the boom itself is considered weightless for the purposes of this analysis and relies on the cables and joint for support. The equilibrium state suggests that the forces acting on the boom, including the weight of the crate and the tension in the cables, counteract each other to maintain stability.
Transcribed Image Text:**Diagram Explanation:** The diagram illustrates a boom AC in a three-dimensional coordinate system with axes labeled x, y, and z. The boom AC is shown in a position where it is in equilibrium, meaning it is stable and not in motion. - **Boom AC**: Represented by a blue line, it extends from point A to point C. - **Supporting Cables**: Two cables are connected to the boom—one at point D and another at point E. - **Point D** is located 4 feet along the z-axis and 3 feet along the x-axis from the origin. - **Point E** is located 3 feet along both the x- and y-axes. - **Ball-and-Socket Joint at A**: Allows the boom to pivot in any direction. - **Suspended Crate**: Attached at point C, weighing 62 lb (pounds). **Dimensions and Distances**: - The blue boom has dimensions marked as 7.8 feet. - The distance from point E to the origin is labeled as 7.0 feet. - The boom’s extension along the x- and y-axes is 4 feet. **Text Explanation:** "Boom AC has negligible weight and is in equilibrium. The boom is supported by cables at D and E and a ball-and-socket joint at A. The suspended crate weighs 62 lb." This indicates that the boom itself is considered weightless for the purposes of this analysis and relies on the cables and joint for support. The equilibrium state suggests that the forces acting on the boom, including the weight of the crate and the tension in the cables, counteract each other to maintain stability.
**Problem Description:**

This section focuses on determining the components of the reaction exerted on a boom by a wall at point A. Each part queries a separate component of this reaction, which is measured in pounds (lb).

**Question C:**
- What is the x component of the reaction (lb) (exerted on the boom by the wall) at A?
    - [Input Box for Answer]

**Question D:**
- What is the y component of the reaction (lb) at A?
    - [Input Box for Answer]

**Question E:**
- What is the z component of the reaction (lb) at A?
    - [Input Box for Answer]

**Navigation:**
- Options to move to the previous or next section: [Previous] [Next]
Transcribed Image Text:**Problem Description:** This section focuses on determining the components of the reaction exerted on a boom by a wall at point A. Each part queries a separate component of this reaction, which is measured in pounds (lb). **Question C:** - What is the x component of the reaction (lb) (exerted on the boom by the wall) at A? - [Input Box for Answer] **Question D:** - What is the y component of the reaction (lb) at A? - [Input Box for Answer] **Question E:** - What is the z component of the reaction (lb) at A? - [Input Box for Answer] **Navigation:** - Options to move to the previous or next section: [Previous] [Next]
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