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A force and a moment are applied to the member shown. Determine an equivalent force and moment located at point A. Specify the magnitude and direction of force and moment in cartesian coordinates. 8 ft. 600 ft-lbs. B + 3 ft. 6 ft. 150 Ibs. 20° Force @ A = (-140 9i - 51 3i) lbs Moment @ A = (10 8 k) ft-lb

A force and a moment are applied to the member shown. Determine an equivalent force and moment located at point A. Specify the magnitude and direction of force and moment in cartesian coordinates. 8 ft. 600 ft-lbs. B + 3 ft. 6 ft. 150 Ibs. 20° Force @ A = (-140 9i - 51 3i) lbs Moment @ A = (10 8 k) ft-lb

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 Statement: A force and a moment are applied to the member as shown. Determine an **equivalent force and moment** located at point A. Specify the magnitude and direction of force and moment in Cartesian coordinates. ### Diagram Explanation: The diagram illustrates an L-shaped member with a force and a moment applied. The top section of the L extends horizontally to the right with the following details: - A clockwise moment of 600 ft-lbs is applied near the end of the horizontal section at point B. - The horizontal section is 8 ft long from point A to point B. - From point A to the right edge of the diagram, an additional 3 ft is noted. The vertical section extends downwards from the left side of the horizontal section: - The vertical section is 6 ft from point B to point C. - A force of 150 lbs is applied at an angle of 20 degrees from the horizontal at point C. ### Calculated Results: - **Force at A:** \((-140.9i - 51.3j) \text{ lbs}\) - **Moment at A:** \((10.8k) \text{ ft-lb}\) These results indicate the equivalent forces and moments acting at point A, translated from the force and moment initially applied to the member.
Transcribed Image Text:### Problem Statement: A force and a moment are applied to the member as shown. Determine an **equivalent force and moment** located at point A. Specify the magnitude and direction of force and moment in Cartesian coordinates. ### Diagram Explanation: The diagram illustrates an L-shaped member with a force and a moment applied. The top section of the L extends horizontally to the right with the following details: - A clockwise moment of 600 ft-lbs is applied near the end of the horizontal section at point B. - The horizontal section is 8 ft long from point A to point B. - From point A to the right edge of the diagram, an additional 3 ft is noted. The vertical section extends downwards from the left side of the horizontal section: - The vertical section is 6 ft from point B to point C. - A force of 150 lbs is applied at an angle of 20 degrees from the horizontal at point C. ### Calculated Results: - **Force at A:** \((-140.9i - 51.3j) \text{ lbs}\) - **Moment at A:** \((10.8k) \text{ ft-lb}\) These results indicate the equivalent forces and moments acting at point A, translated from the force and moment initially applied to the member.
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