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4-82. Express the moment of the couple acting on the pipe assembly in Cartesian vector form. What is the magnitude of the couple moment?

4-82. Express the moment of the couple acting on the pipe assembly in Cartesian vector form. What is the magnitude of the couple moment?

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 4-82:** Express the moment of the couple acting on the pipe assembly in Cartesian vector form. What is the magnitude of the couple moment? **Diagram Explanation:** The diagram illustrates a pipe assembly in a 3D Cartesian coordinate system with points A, B, and C. The x, y, and z axes intersect at point A. The configuration is as follows: - The distance from point A to point B is 3 feet along the pipe parallel to the y-axis. - At point B, a force of 20 lb is exerted upwards (positive z-direction). - From point B, another segment extends 1 foot in the negative x-direction to point C. - At point C, a force of 20 lb is exerted in the opposite direction (negative z-direction). - The segment from point B to point C lies in the plane formed by the x and y axes, with the distance from the y-axis to point C being 1.5 feet and the segment length in the x-direction being 1 foot. - Additional measurements: the segment extending from point B to point C is directed 2 feet along the y-axis from B to C. This configuration creates a couple moment about the pipe, due to the equal and opposite forces at points B and C.
Transcribed Image Text:**Problem 4-82:** Express the moment of the couple acting on the pipe assembly in Cartesian vector form. What is the magnitude of the couple moment? **Diagram Explanation:** The diagram illustrates a pipe assembly in a 3D Cartesian coordinate system with points A, B, and C. The x, y, and z axes intersect at point A. The configuration is as follows: - The distance from point A to point B is 3 feet along the pipe parallel to the y-axis. - At point B, a force of 20 lb is exerted upwards (positive z-direction). - From point B, another segment extends 1 foot in the negative x-direction to point C. - At point C, a force of 20 lb is exerted in the opposite direction (negative z-direction). - The segment from point B to point C lies in the plane formed by the x and y axes, with the distance from the y-axis to point C being 1.5 feet and the segment length in the x-direction being 1 foot. - Additional measurements: the segment extending from point B to point C is directed 2 feet along the y-axis from B to C. This configuration creates a couple moment about the pipe, due to the equal and opposite forces at points B and C.
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