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Replace the force and couple moment system acting on the overhang beam by a res force and couple moment at point A. Solution: R = 50.2 N@ 84.3° from -x ccw, M = 239 kN-m cw 30 kN 30 26 kN 12 13 0.3 m 45 kN-m C0.3 m B -2 m- 2 m 1 m 1 m

Replace the force and couple moment system acting on the overhang beam by a res force and couple moment at point A. Solution: R = 50.2 N@ 84.3° from -x ccw, M = 239 kN-m cw 30 kN 30 26 kN 12 13 0.3 m 45 kN-m C0.3 m B -2 m- 2 m 1 m 1 m

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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The image displays a mechanical problem involving an overhang beam subjected to forces and moments. The task is to replace the force and couple moment system acting on the beam with a resultant force and couple moment at a specific point, labeled A. **Problem Statement:** Replace the force and couple moment system acting on the overhang beam by a resultant force and couple moment at point A. **Solution Provided:** - Resultant Force (R): 50.2 N, applied at an angle of 84.3° counterclockwise from the negative x-axis. - Moment (M): 239 kN-m clockwise (cw). **Diagram Explanation:** - The beam is supported horizontally, with points A and B marked. - The beam has a length of 5.3 meters in total, divided into segments: 2 meters from point A to a central point, 1 meter between central point and the force application point, and another 2 meters to point B. - A fixed support is located at point A. - Forces acting on the beam are as follows: - A 30 kN force is applied at the left end of the beam at an angle of 30° to the vertical. - A 45 kN-m couple moment is applied about the central point (depicted as a curved arrow). - A 26 kN vertical force is applied 0.3 meters from the right end, point B. - The distances between these applied forces and moments are shown in the diagram for detailed analysis.
Transcribed Image Text:The image displays a mechanical problem involving an overhang beam subjected to forces and moments. The task is to replace the force and couple moment system acting on the beam with a resultant force and couple moment at a specific point, labeled A. **Problem Statement:** Replace the force and couple moment system acting on the overhang beam by a resultant force and couple moment at point A. **Solution Provided:** - Resultant Force (R): 50.2 N, applied at an angle of 84.3° counterclockwise from the negative x-axis. - Moment (M): 239 kN-m clockwise (cw). **Diagram Explanation:** - The beam is supported horizontally, with points A and B marked. - The beam has a length of 5.3 meters in total, divided into segments: 2 meters from point A to a central point, 1 meter between central point and the force application point, and another 2 meters to point B. - A fixed support is located at point A. - Forces acting on the beam are as follows: - A 30 kN force is applied at the left end of the beam at an angle of 30° to the vertical. - A 45 kN-m couple moment is applied about the central point (depicted as a curved arrow). - A 26 kN vertical force is applied 0.3 meters from the right end, point B. - The distances between these applied forces and moments are shown in the diagram for detailed analysis.
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