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
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
**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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning