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Problem 7.18 Determine the horizontal deflection at joint E of the truss shown in the figure if member BC is 18mm too long and member CE is 15mm too short. Use the method of virtual work. 4 m 4 m 3 m

Problem 7.18 Determine the horizontal deflection at joint E of the truss shown in the figure if member BC is 18mm too long and member CE is 15mm too short. Use the method of virtual work. 4 m 4 m 3 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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Question
**Problem 7.18** Determine the horizontal deflection at joint \( E \) of the truss shown in the figure if member \( BC \) is 18 mm too long and member \( CE \) is 15 mm too short. Use the method of virtual work. **Diagram Explanation:** The figure illustrates a truss structure with several members connected at joints. The structure has the following details: - Joint \( A \) is at the bottom left, fixed to the ground. - Joint \( B \) is 3 meters horizontally from \( A \). - Joint \( C \) is vertically aligned with \( A \) and \( B \), 4 meters above them. - Joint \( D \) is horizontally aligned with \( C \), to the right. - Joint \( E \) is directly above joint \( C \), another 4 meters up. The truss consists of the following members: - A vertical member between \( A \) and \( C \). - A horizontal member between \( A \) and \( B \). - A diagonal member from \( B \) to \( C \). - A diagonal member from \( B \) to \( E \). - A horizontal member from \( C \) to \( D \). - A diagonal member from \( D \) to \( E \). The angle \( \alpha = 1.2 \times 10^5 \, ^\circ C \) is noted, which might relate to thermal expansion. The problem requires determining the horizontal deflection at joint \( E \), considering specific inaccuracies in the lengths of members \( BC \) and \( CE \). The solution involves applying the principles of virtual work to account for these imperfections.
Transcribed Image Text:**Problem 7.18** Determine the horizontal deflection at joint \( E \) of the truss shown in the figure if member \( BC \) is 18 mm too long and member \( CE \) is 15 mm too short. Use the method of virtual work. **Diagram Explanation:** The figure illustrates a truss structure with several members connected at joints. The structure has the following details: - Joint \( A \) is at the bottom left, fixed to the ground. - Joint \( B \) is 3 meters horizontally from \( A \). - Joint \( C \) is vertically aligned with \( A \) and \( B \), 4 meters above them. - Joint \( D \) is horizontally aligned with \( C \), to the right. - Joint \( E \) is directly above joint \( C \), another 4 meters up. The truss consists of the following members: - A vertical member between \( A \) and \( C \). - A horizontal member between \( A \) and \( B \). - A diagonal member from \( B \) to \( C \). - A diagonal member from \( B \) to \( E \). - A horizontal member from \( C \) to \( D \). - A diagonal member from \( D \) to \( E \). The angle \( \alpha = 1.2 \times 10^5 \, ^\circ C \) is noted, which might relate to thermal expansion. The problem requires determining the horizontal deflection at joint \( E \), considering specific inaccuracies in the lengths of members \( BC \) and \( CE \). The solution involves applying the principles of virtual work to account for these imperfections.
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