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Y F1=200# Problem # 3 (7 points): The bent pipe resists forces as shown. Determine the moment of each force about each of the coordinate axes (9 25" В results required). 40" F2=500# 12" F3=4002#

Y F1=200# Problem # 3 (7 points): The bent pipe resists forces as shown. Determine the moment of each force about each of the coordinate axes (9 25" В results required). 40" F2=500# 12" F3=4002#

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 #3 (7 points):** The bent pipe resists forces as shown. Determine the moment of each force about each of the coordinate axes (9 results required). **Diagram Explanation:** A 3D coordinate system is shown with axes labeled X, Y, and Z. A bent pipe extends vertically along the Y-axis, named points A, B, C, and D. - **Pipe Dimensions:** - AB = 40 inches (vertical segment along the Y-axis) - BC = 25 inches (horizontal segment along the X-axis) - CD = 12 inches (horizontal segment parallel to the X-Z plane) - **Forces Applied:** - **F1** = 200 lbs, acting at point B, directed upwards and diagonally aligned with the positive Y-axis. - **F2** = 500 lbs, acting horizontally at point C, directed towards the right in the positive direction parallel to the X-axis. - **F3** = 400 lbs, acting vertically downwards at point A, aligned with the negative Y-axis. The goal is to calculate the moments created by each force about each coordinate axis (X, Y, Z), requiring a total of 9 calculations.
Transcribed Image Text:**Problem #3 (7 points):** The bent pipe resists forces as shown. Determine the moment of each force about each of the coordinate axes (9 results required). **Diagram Explanation:** A 3D coordinate system is shown with axes labeled X, Y, and Z. A bent pipe extends vertically along the Y-axis, named points A, B, C, and D. - **Pipe Dimensions:** - AB = 40 inches (vertical segment along the Y-axis) - BC = 25 inches (horizontal segment along the X-axis) - CD = 12 inches (horizontal segment parallel to the X-Z plane) - **Forces Applied:** - **F1** = 200 lbs, acting at point B, directed upwards and diagonally aligned with the positive Y-axis. - **F2** = 500 lbs, acting horizontally at point C, directed towards the right in the positive direction parallel to the X-axis. - **F3** = 400 lbs, acting vertically downwards at point A, aligned with the negative Y-axis. The goal is to calculate the moments created by each force about each coordinate axis (X, Y, Z), requiring a total of 9 calculations.
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