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In Figure, determine the components of reaction at the ball-and-socket joint A and the tension in the supporting cables DB and DC. 1.5 m 800 N/m -3 m B LE 1 m 1.5 m -1.5 m 1 m 1.5 m 3 m

In Figure, determine the components of reaction at the ball-and-socket joint A and the tension in the supporting cables DB and DC. 1.5 m 800 N/m -3 m B LE 1 m 1.5 m -1.5 m 1 m 1.5 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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In the figure, we are tasked with determining the components of reaction at the ball-and-socket joint A and the tension in the supporting cables DB and DC. ### Diagram Explanation: - The structure includes a beam supported by a ball-and-socket joint at point A. - There are two supporting cables, DB and DC, which provide additional support. - An external distributed load of 800 N/m acts downward over a 1.5 m section of the beam. - Coordinates are defined with the x, y, and z axes clearly labeled. - Distances from point A to various key points are given: - The beam extends 1.5 m along the x-axis. - From point A, the beam extends 3 m in length along the beam. - Point B is located 1.5 m above in the z-direction and 1.5 m horizontally in both x and y directions from the vertical plane through A. - Point C is 3 m along the y-axis and 1.5 m in the x-z plane from point A. - Cable DB runs from point D, perpendicular from the beam, to point B. - Cable DC runs from point D to point C. This setup involves calculating the reactions at the joint and the tension in the cables to ensure equilibrium.
Transcribed Image Text:In the figure, we are tasked with determining the components of reaction at the ball-and-socket joint A and the tension in the supporting cables DB and DC. ### Diagram Explanation: - The structure includes a beam supported by a ball-and-socket joint at point A. - There are two supporting cables, DB and DC, which provide additional support. - An external distributed load of 800 N/m acts downward over a 1.5 m section of the beam. - Coordinates are defined with the x, y, and z axes clearly labeled. - Distances from point A to various key points are given: - The beam extends 1.5 m along the x-axis. - From point A, the beam extends 3 m in length along the beam. - Point B is located 1.5 m above in the z-direction and 1.5 m horizontally in both x and y directions from the vertical plane through A. - Point C is 3 m along the y-axis and 1.5 m in the x-z plane from point A. - Cable DB runs from point D, perpendicular from the beam, to point B. - Cable DC runs from point D to point C. This setup involves calculating the reactions at the joint and the tension in the cables to ensure equilibrium.
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