Find the force in Pin C. 6k 3¹ Bar JOK Bar EMB=C 34 S C B

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Find the force in pin C
**Title: Calculating the Force in Pin C**

### Problem Statement:
Find the force in Pin C

### Diagram Details:
The diagram depicts a structural analysis problem involving several forces and dimensions. Here are the key features:

- The structure consists of two points, A and C, connected by a horizontal bar AC, and point B, which is connected horizontally with C and vertically with A. 
- There is a downward force of 10k (kips) at point A.
- There is another force of 6k (kips) acting to the left at point C.
- The distances between these points are as follows:
  - Horizontal distance from point A to point C: 3 feet.
  - Vertical distance from point A to point B: 5 feet.
  - Horizontal distance from point C to point B: 8 feet.
  - Vertical distance from point C to the point where horizontal bar from B intersects: 3 feet.

### Solution Approach:
To determine the force in Pin C, you will need to employ principles of static equilibrium, which typically include:

1. Summing the moments around a point to zero (∑M = 0).
2. Summing the forces in the horizontal direction to zero (∑Fx = 0).
3. Summing the forces in the vertical direction to zero (∑Fy = 0).

By systematically applying these principles to the given forces and distances, you can solve for the unknown force at Pin C.

---

This educational material aims to provide a clear understanding of the procedure to solve for unknown forces in static structures. The diagram specifications and given forces should assist in setting up the necessary equations for equilibrium calculations.
Transcribed Image Text:**Title: Calculating the Force in Pin C** ### Problem Statement: Find the force in Pin C ### Diagram Details: The diagram depicts a structural analysis problem involving several forces and dimensions. Here are the key features: - The structure consists of two points, A and C, connected by a horizontal bar AC, and point B, which is connected horizontally with C and vertically with A. - There is a downward force of 10k (kips) at point A. - There is another force of 6k (kips) acting to the left at point C. - The distances between these points are as follows: - Horizontal distance from point A to point C: 3 feet. - Vertical distance from point A to point B: 5 feet. - Horizontal distance from point C to point B: 8 feet. - Vertical distance from point C to the point where horizontal bar from B intersects: 3 feet. ### Solution Approach: To determine the force in Pin C, you will need to employ principles of static equilibrium, which typically include: 1. Summing the moments around a point to zero (∑M = 0). 2. Summing the forces in the horizontal direction to zero (∑Fx = 0). 3. Summing the forces in the vertical direction to zero (∑Fy = 0). By systematically applying these principles to the given forces and distances, you can solve for the unknown force at Pin C. --- This educational material aims to provide a clear understanding of the procedure to solve for unknown forces in static structures. The diagram specifications and given forces should assist in setting up the necessary equations for equilibrium calculations.
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