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Determine

Structural Analysis
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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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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