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Determine the tension in each cable and the components of reaction at D

Determine the tension in each cable and the components of reaction at D

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 tension in each cable and the components of reaction at D
### Problem Statement **Objective:** Determine the tension in each cable and the components of the reaction at point D needed to support the load. ### Diagram Explanation The diagram presents a three-dimensional structure with a rigid beam pinned at point A and supported by cables running to points B, C, and D. **Details:** - **Coordinates and Measurements:** - Point B is located 4 meters along the z-axis from point D. - Point C is 3 meters along the y-axis and 6 meters along the z-axis from point D. - There is a beam connecting point A to point D, inclined at a 30° angle with respect to the x-axis. - **Force and Load:** - A force of 460 N is applied downwards at a 30° angle to the vertical at point A. **Axes Reference:** - The x-axis appears to run horizontally from left to right. - The y-axis runs vertically upwards. - The z-axis is perpendicular to both x and y axes, coming forward from the plane. ### Task Calculate: 1. The tension in each of the cables connected through the points B and C. 2. The reaction components at point D, considering the given force and beam orientation. This setup is an application of static equilibrium analysis in three-dimensional space, requiring balance of forces and moments around key points in the structure.
Transcribed Image Text:### Problem Statement **Objective:** Determine the tension in each cable and the components of the reaction at point D needed to support the load. ### Diagram Explanation The diagram presents a three-dimensional structure with a rigid beam pinned at point A and supported by cables running to points B, C, and D. **Details:** - **Coordinates and Measurements:** - Point B is located 4 meters along the z-axis from point D. - Point C is 3 meters along the y-axis and 6 meters along the z-axis from point D. - There is a beam connecting point A to point D, inclined at a 30° angle with respect to the x-axis. - **Force and Load:** - A force of 460 N is applied downwards at a 30° angle to the vertical at point A. **Axes Reference:** - The x-axis appears to run horizontally from left to right. - The y-axis runs vertically upwards. - The z-axis is perpendicular to both x and y axes, coming forward from the plane. ### Task Calculate: 1. The tension in each of the cables connected through the points B and C. 2. The reaction components at point D, considering the given force and beam orientation. This setup is an application of static equilibrium analysis in three-dimensional space, requiring balance of forces and moments around key points in the structure.
This diagram illustrates a structural analysis problem involving a 3D coordinate system with points A, B, C, and D. - **Point A** is the starting point of the structure, located at the origin of the x, y, and z axes. - A force of 460 N is applied at point A, directed at an angle of 30° from the negative x-axis. - **Point B** is 4 meters above point C along the z-axis. - The distance between points A and B is 6 meters along the x-z plane. - **Point C** is inline with point D, 3 meters apart along the x-axis. - **Point D** is connected by a rod extending from point A. - The structure is set up within a 3D coordinate system, represented by x, y, and z axes to assess the different vector components and resulting forces. The diagram serves as a reference for analyzing spatial forces and torques in engineering contexts.
Transcribed Image Text:This diagram illustrates a structural analysis problem involving a 3D coordinate system with points A, B, C, and D. - **Point A** is the starting point of the structure, located at the origin of the x, y, and z axes. - A force of 460 N is applied at point A, directed at an angle of 30° from the negative x-axis. - **Point B** is 4 meters above point C along the z-axis. - The distance between points A and B is 6 meters along the x-z plane. - **Point C** is inline with point D, 3 meters apart along the x-axis. - **Point D** is connected by a rod extending from point A. - The structure is set up within a 3D coordinate system, represented by x, y, and z axes to assess the different vector components and resulting forces. The diagram serves as a reference for analyzing spatial forces and torques in engineering contexts.
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