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Q.5) Three forces are applied to brack given force system by a resultant force the resultant force system by the simpl as it passes through the y-z plane. 50 mm 50 mm A

Q.5) Three forces are applied to brack given force system by a resultant force the resultant force system by the simpl as it passes through the y-z plane. 50 mm 50 mm 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 5: Resultant Force System on a Bracket **Question:** Three forces are applied to a bracket as shown in the figure below. Replace the given force system by a resultant force system acting at point O. Then, replace the resultant force system by the simplest resultant and locate its line of action as it passes through the y-z plane. **Diagram Analysis:** The diagram depicts a bracket with the following forces applied to it: 1. A force of 1000 N applied at point C on the bracket, angled at 45° in both the y and z planes. 2. A force of 700 N applied at point B on the bracket, directly downward along the z-axis. 3. A force of 1200 N applied at point D on the bracket, angled at 30° from the x-axis and 60° from the z-axis. **Measurements and Coordinates:** - Points A, B, C, D, and E are specified with the following dimensions: - Point A is located 50 mm along the y-axis and 50 mm along the x-axis from the origin. - Point B is located vertically down 100 mm from point A. - Point C is located 75 mm along the y-axis and 75 mm along the z-axis from point A. - Point D is located 100 mm along the x-axis from point O, and is also vertically upward. - Point E is provided for reference with coordinates (150 mm, -50 mm, 100 mm) though it's not directly involved in force application. **Visualization:** - The coordinate system is marked with x, y, and z directions. - The angles and distances are given to fully define the vectors of the applied forces. - Axes are labeled, and the origin point (O) is marked for reference. Forces are labeled with their magnitudes and directions. ### Task Objective: 1. **Determine the Resultant Force System at O:** - Calculate the resultant force vector by summing the individual force vectors applied at points C, B, and D. - Compute the moments resulting from these forces around point O. 2. **Simplify the Resultant Force System:** - Combine the calculated forces and moments into a single resultant force and a single resultant moment. - Identify the line of action of the resultant force as it passes through the y-z plane, providing the simplest resultant system representation. **
Transcribed Image Text:### Problem 5: Resultant Force System on a Bracket **Question:** Three forces are applied to a bracket as shown in the figure below. Replace the given force system by a resultant force system acting at point O. Then, replace the resultant force system by the simplest resultant and locate its line of action as it passes through the y-z plane. **Diagram Analysis:** The diagram depicts a bracket with the following forces applied to it: 1. A force of 1000 N applied at point C on the bracket, angled at 45° in both the y and z planes. 2. A force of 700 N applied at point B on the bracket, directly downward along the z-axis. 3. A force of 1200 N applied at point D on the bracket, angled at 30° from the x-axis and 60° from the z-axis. **Measurements and Coordinates:** - Points A, B, C, D, and E are specified with the following dimensions: - Point A is located 50 mm along the y-axis and 50 mm along the x-axis from the origin. - Point B is located vertically down 100 mm from point A. - Point C is located 75 mm along the y-axis and 75 mm along the z-axis from point A. - Point D is located 100 mm along the x-axis from point O, and is also vertically upward. - Point E is provided for reference with coordinates (150 mm, -50 mm, 100 mm) though it's not directly involved in force application. **Visualization:** - The coordinate system is marked with x, y, and z directions. - The angles and distances are given to fully define the vectors of the applied forces. - Axes are labeled, and the origin point (O) is marked for reference. Forces are labeled with their magnitudes and directions. ### Task Objective: 1. **Determine the Resultant Force System at O:** - Calculate the resultant force vector by summing the individual force vectors applied at points C, B, and D. - Compute the moments resulting from these forces around point O. 2. **Simplify the Resultant Force System:** - Combine the calculated forces and moments into a single resultant force and a single resultant moment. - Identify the line of action of the resultant force as it passes through the y-z plane, providing the simplest resultant system representation. **
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