Determine the x, y, z components of reaction at the fixed wall A. The 150N force is parallel to the z axis and the 200N force is parallel to the y axis. Determine the x, y, z components of the moment of reaction at the fixed wall A.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Determine the x, y, z components of reaction at the fixed wall A. The 150N force is parallel to the z axis and the 200N force is parallel to the y axis. Determine the x, y, z components of the moment of reaction at the fixed wall A.

### Engineering Mechanics: 3D Force Systems

**Analysis of Pipe System with Applied Forces**

In this diagram, a three-dimensional pipe system is shown with specific forces acting on it at various points. To analyze this system, understanding the forces and the geometry of the system is crucial.

**Forces:**

1. **150 N Force**: This force acts vertically downward at the point where the horizontal segment of the pipe meets the vertical segment.
2. **200 N Force**: This force acts horizontally to the right at the end of the vertical pipe segment.

**Geometry:**

- **Point A**: The fixed support at the start of the pipe system.
- **Segment AB**: A horizontal pipe segment aligned along the x-axis with a length of 2 meters.
- **Segment BC**: A horizontal pipe segment aligned along the y-axis with a length of 1 meter, extending from the point where the 150 N force is applied to the corner of the pipe system.
- **Segment CD**: A horizontal pipe segment aligned along the y-axis with a length of 2.5 meters.
- **Segment DE**: A vertical pipe segment aligned along the z-axis with a length of 2 meters.

**Coordinate System:**

- **x-axis**: Extends horizontally from left to right beginning from Point A.
- **y-axis**: Extends horizontally perpendicularly to the x-axis.
- **z-axis**: Extends vertically upwards.

**Procedure to Solve:**

1. **Resolve the Forces**: Identify the components of each force acting along the x, y, and z axes.
2. **Equilibrium Conditions**:
   - Sum of all forces in the x-direction (ΣFx) should be zero.
   - Sum of all forces in the y-direction (ΣFy) should be zero.
   - Sum of all forces in the z-direction (ΣFz) should be zero.
   - Sum of all moments about any point or axis (ΣM) should be zero.
3. **Free Body Diagram (FBD)**: Draw an FBD showing all forces and distances to understand the leverage and calculate moments.

These steps will guide the analysis to determine the reactions at the fixed support point A and understand the stress distribution throughout the pipe structure under the applied forces. This serves as a foundational example in the study of statics in mechanical engineering.
Transcribed Image Text:### Engineering Mechanics: 3D Force Systems **Analysis of Pipe System with Applied Forces** In this diagram, a three-dimensional pipe system is shown with specific forces acting on it at various points. To analyze this system, understanding the forces and the geometry of the system is crucial. **Forces:** 1. **150 N Force**: This force acts vertically downward at the point where the horizontal segment of the pipe meets the vertical segment. 2. **200 N Force**: This force acts horizontally to the right at the end of the vertical pipe segment. **Geometry:** - **Point A**: The fixed support at the start of the pipe system. - **Segment AB**: A horizontal pipe segment aligned along the x-axis with a length of 2 meters. - **Segment BC**: A horizontal pipe segment aligned along the y-axis with a length of 1 meter, extending from the point where the 150 N force is applied to the corner of the pipe system. - **Segment CD**: A horizontal pipe segment aligned along the y-axis with a length of 2.5 meters. - **Segment DE**: A vertical pipe segment aligned along the z-axis with a length of 2 meters. **Coordinate System:** - **x-axis**: Extends horizontally from left to right beginning from Point A. - **y-axis**: Extends horizontally perpendicularly to the x-axis. - **z-axis**: Extends vertically upwards. **Procedure to Solve:** 1. **Resolve the Forces**: Identify the components of each force acting along the x, y, and z axes. 2. **Equilibrium Conditions**: - Sum of all forces in the x-direction (ΣFx) should be zero. - Sum of all forces in the y-direction (ΣFy) should be zero. - Sum of all forces in the z-direction (ΣFz) should be zero. - Sum of all moments about any point or axis (ΣM) should be zero. 3. **Free Body Diagram (FBD)**: Draw an FBD showing all forces and distances to understand the leverage and calculate moments. These steps will guide the analysis to determine the reactions at the fixed support point A and understand the stress distribution throughout the pipe structure under the applied forces. This serves as a foundational example in the study of statics in mechanical engineering.
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