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Determine the vertical displacement of Joint A using virtual work method. Support C is a roller and Support D is a pin. A= 5 x 104 m² E= 2 x 10³ kN/m² Abo 5 kN -1.5 m- B ood -1.5 m D 2 m

Determine the vertical displacement of Joint A using virtual work method. Support C is a roller and Support D is a pin. A= 5 x 104 m² E= 2 x 10³ kN/m² Abo 5 kN -1.5 m- B ood -1.5 m D 2 m

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 vertical displacement of Joint A using the virtual work method. Support C is a roller and Support D is a pin. - A = \(5 \times 10^{-4} \, \text{m}^2\) - E = \(2 \times 10^8 \, \text{kN/m}^2\) ### Diagram Explanation: The diagram shows a truss with the following components and dimensions: - **Truss Configuration**: A triangular arrangement with a vertical wall on the right. - **Joints**: Four joints labeled as A, B, C, and D. - Joint A is at the bottom left, where a downward force of 5 kN is applied. - Joint B is at the top of the triangle. - Joint C is at the upper right, connected to the wall. - Joint D is at the bottom right, secured to the wall. - **Supports**: - Support C is a roller, which allows for horizontal movement along the wall. - Support D is a pin, which restricts both horizontal and vertical movements. - **Dimensions**: - The horizontal distance between joints A and D is 3 meters. - Each section between joints A to B and B to D measures 1.5 meters. - The vertical height from joint D to C along the wall is 2 meters. This setup requires the application of the virtual work method to calculate the vertical displacement at Joint A.
Transcribed Image Text:Determine the vertical displacement of Joint A using the virtual work method. Support C is a roller and Support D is a pin. - A = \(5 \times 10^{-4} \, \text{m}^2\) - E = \(2 \times 10^8 \, \text{kN/m}^2\) ### Diagram Explanation: The diagram shows a truss with the following components and dimensions: - **Truss Configuration**: A triangular arrangement with a vertical wall on the right. - **Joints**: Four joints labeled as A, B, C, and D. - Joint A is at the bottom left, where a downward force of 5 kN is applied. - Joint B is at the top of the triangle. - Joint C is at the upper right, connected to the wall. - Joint D is at the bottom right, secured to the wall. - **Supports**: - Support C is a roller, which allows for horizontal movement along the wall. - Support D is a pin, which restricts both horizontal and vertical movements. - **Dimensions**: - The horizontal distance between joints A and D is 3 meters. - Each section between joints A to B and B to D measures 1.5 meters. - The vertical height from joint D to C along the wall is 2 meters. This setup requires the application of the virtual work method to calculate the vertical displacement at Joint A.
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