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Problem 6: Replace the force of F = 80 N acting on the pipe assembly by an equivalent resultant force and couple moment at point A.

Problem 6: Replace the force of F = 80 N acting on the pipe assembly by an equivalent resultant force and couple moment at point A.

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 6:** Replace the force of \( F = 80 \, N \) acting on the pipe assembly by an equivalent resultant force and couple moment at point \( A \). **Diagram Explanation:** The diagram shows a 3D pipe assembly with a force \( F = 80 \, N \) applied at the lower end of the pipe. The structure forms an angled path, with the following key dimensions and angles: - A fixed point \( A \) is positioned 400 mm along the z-axis. - The pipe bends and extends to point \( B \), 300 mm along the y-axis. - A further segment extends 200 mm parallel to the x-axis. - Another section of 250 mm length forms a 40° angle with another direction. - The force \( F = 80 \, N \) is applied at an angle of 30° to the horizontal in one segment. The challenge is to determine the equivalent force and couple moment at point \( A \) that would have the same mechanical effect on the assembly as the original force applied.
Transcribed Image Text:**Problem 6:** Replace the force of \( F = 80 \, N \) acting on the pipe assembly by an equivalent resultant force and couple moment at point \( A \). **Diagram Explanation:** The diagram shows a 3D pipe assembly with a force \( F = 80 \, N \) applied at the lower end of the pipe. The structure forms an angled path, with the following key dimensions and angles: - A fixed point \( A \) is positioned 400 mm along the z-axis. - The pipe bends and extends to point \( B \), 300 mm along the y-axis. - A further segment extends 200 mm parallel to the x-axis. - Another section of 250 mm length forms a 40° angle with another direction. - The force \( F = 80 \, N \) is applied at an angle of 30° to the horizontal in one segment. The challenge is to determine the equivalent force and couple moment at point \( A \) that would have the same mechanical effect on the assembly as the original force applied.
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