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Determine the force in each member of the space truss and state if the members are in tension (T) or compression (C). The truss is supported by ball-and-socket joints at A, B, and E. Set F = {-200i + 400j} N. Hint: The support reaction at E acts along member EC. Why? 5 m 2 m- 1 m- 1.5 m. B D 2 m E

Determine the force in each member of the space truss and state if the members are in tension (T) or compression (C). The truss is supported by ball-and-socket joints at A, B, and E. Set F = {-200i + 400j} N. Hint: The support reaction at E acts along member EC. Why? 5 m 2 m- 1 m- 1.5 m. B D 2 m E

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 Statement:** Determine the force in each member of the space truss and state if the members are in tension (T) or compression (C). The truss is supported by ball-and-socket joints at points A, B, and E. The force vector F is given by F = {-200i + 400j} N. **Hint:** The support reaction at E acts along member EC. Why? **Diagram Description:** The diagram illustrates a 3D space truss with the following key features: - The truss consists of six members forming a triangular pyramid (or tetrahedron). - The points A, B, C, D, and E are the joints of the truss. - The truss sits in a 3D coordinate system with axes labeled x, y, and z. - Member lengths and coordinates are provided: - Distance AC is 5 meters along the x-axis. - Distance AB is 2 meters along the x-axis from the origin. - Point D is located 2 meters above the base on the z-axis. - Distance AE is 1 meter on the y-axis from the origin. - Distance between B and the x-axis is 1.5 meters on the y-axis. - A force, F, is applied horizontally at point D in the negative x and positive y directions. This setup requires the analysis of forces to determine tension or compression in each member, taking into account the forces applied and the constraints provided by the ball-and-socket joints.
Transcribed Image Text:**Problem Statement:** Determine the force in each member of the space truss and state if the members are in tension (T) or compression (C). The truss is supported by ball-and-socket joints at points A, B, and E. The force vector F is given by F = {-200i + 400j} N. **Hint:** The support reaction at E acts along member EC. Why? **Diagram Description:** The diagram illustrates a 3D space truss with the following key features: - The truss consists of six members forming a triangular pyramid (or tetrahedron). - The points A, B, C, D, and E are the joints of the truss. - The truss sits in a 3D coordinate system with axes labeled x, y, and z. - Member lengths and coordinates are provided: - Distance AC is 5 meters along the x-axis. - Distance AB is 2 meters along the x-axis from the origin. - Point D is located 2 meters above the base on the z-axis. - Distance AE is 1 meter on the y-axis from the origin. - Distance between B and the x-axis is 1.5 meters on the y-axis. - A force, F, is applied horizontally at point D in the negative x and positive y directions. This setup requires the analysis of forces to determine tension or compression in each member, taking into account the forces applied and the constraints provided by the ball-and-socket joints.
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