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8-5. Determine the vertical displacement of joint E. For each member A = 400 mm², E = 200 GPa. Use the method of virtual work.

8-5. Determine the vertical displacement of joint E. For each member A = 400 mm², E = 200 GPa. Use the method of virtual work.

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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**Problem 8–5:** Determine the vertical displacement of joint E. For each member, \( A = 400 \, \text{mm}^2 \), \( E = 200 \, \text{GPa} \). Use the method of virtual work. **Problem 8–6:** Solve Problem 8–5 using Castigliano’s theorem. **Problems 8–3/4/5/6:** The diagram illustrates a truss structure. - **Structure Overview:** - The truss consists of joints labeled A, B, C, D, E, and F. - Member AB is horizontal with a length of 2 meters. - The truss forms a right angle at joint D, which is 1.5 meters above joint C. - The diagonal member CF is parallel to the ground. - **Supports:** - Joint A is a fixed support. - Joint C is a roller support. - **Force:** - A load of 45 kN is applied vertically downward at joint B. This truss is a practical example for analyzing static equilibrium, calculating forces in members, and determining displacements using methods like virtual work and Castigliano's theorem.
Transcribed Image Text:**Problem 8–5:** Determine the vertical displacement of joint E. For each member, \( A = 400 \, \text{mm}^2 \), \( E = 200 \, \text{GPa} \). Use the method of virtual work. **Problem 8–6:** Solve Problem 8–5 using Castigliano’s theorem. **Problems 8–3/4/5/6:** The diagram illustrates a truss structure. - **Structure Overview:** - The truss consists of joints labeled A, B, C, D, E, and F. - Member AB is horizontal with a length of 2 meters. - The truss forms a right angle at joint D, which is 1.5 meters above joint C. - The diagonal member CF is parallel to the ground. - **Supports:** - Joint A is a fixed support. - Joint C is a roller support. - **Force:** - A load of 45 kN is applied vertically downward at joint B. This truss is a practical example for analyzing static equilibrium, calculating forces in members, and determining displacements using methods like virtual work and Castigliano's theorem.
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