Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Determine the force in each member of the pin-connected truss. AE is constant. Use force method

**Problem 9–26**

**Objective:** Determine the force in each member of the pin-connected truss. The modulus of elasticity (AE) is constant.

**Diagram Explanation:**
The diagram illustrates a symmetrical pin-connected truss in the shape of a diamond or square positioned diagonally. The key elements are:

- **Points:** A, B, C, and D are connected by truss members. The truss is symmetric about its vertical and horizontal axes.
- **Distances:** Each side of the square (AB, BC, CD, and DA) is 3 feet in length.
- **Forces:**
  - A force of 2 kips (k) acts to the left on point A.
  - A force of 2 kips (k) acts to the right on point C.

**Truss Members:**
The truss consists of the following members:
- Horizontal members: AC
- Vertical members: BD
- Diagonal members: AD and BC

The task involves calculating the forces within these members, considering the symmetry and external loads applied at points A and C.

**Instructions for Students:**
Utilize methods such as the joint method or section method to resolve the forces in each member of the truss, assuming equilibrium conditions (ΣF = 0). Recognize that symmetry may simplify calculations, and ensure to account for tension and compression forces.

**Note:**
When calculating, take into consideration the constant AE for uniformity in analysis.
Transcribed Image Text:**Problem 9–26** **Objective:** Determine the force in each member of the pin-connected truss. The modulus of elasticity (AE) is constant. **Diagram Explanation:** The diagram illustrates a symmetrical pin-connected truss in the shape of a diamond or square positioned diagonally. The key elements are: - **Points:** A, B, C, and D are connected by truss members. The truss is symmetric about its vertical and horizontal axes. - **Distances:** Each side of the square (AB, BC, CD, and DA) is 3 feet in length. - **Forces:** - A force of 2 kips (k) acts to the left on point A. - A force of 2 kips (k) acts to the right on point C. **Truss Members:** The truss consists of the following members: - Horizontal members: AC - Vertical members: BD - Diagonal members: AD and BC The task involves calculating the forces within these members, considering the symmetry and external loads applied at points A and C. **Instructions for Students:** Utilize methods such as the joint method or section method to resolve the forces in each member of the truss, assuming equilibrium conditions (ΣF = 0). Recognize that symmetry may simplify calculations, and ensure to account for tension and compression forces. **Note:** When calculating, take into consideration the constant AE for uniformity in analysis.
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