If FA= 6 kN and FB=3 kN determine the magnitude of the resultant force (A) and specify the location of the resultant force on the x-y plane (B). ### Structural Load Distribution#### Diagram ExplanationThe diagram presented showcases a structural component subjected to two forces, FA and FB, each contributing to the overall load distribution. Below is a detailed description and analysis of the diagram:- **Forces Applied** - \( F_A = 8 \) kN (applied downward) - \( F_B = 6 \) kN (applied downward)- **Coordinate System** The diagram is plotted within an XYZ coordinate system: - **X-axis**: Runs horizontally from left to right. - **Y-axis**: Runs horizontally from the front to the back. - **Z-axis**: Runs vertically upwards.- **Dimensions and Distances** - The entire structure stretches horizontally along the x-axis. - The width along the y-axis is given as 250 mm. - The height along the z-axis is measured by different levels for each force. - **Positioning of Forces** - **Force \( F_B \)** is located 750 mm from the reference point O along the positive Z-axis. - Positioning along the x-axis: 100 mm from the centerline towards left. - Positioning along the y-axis: 150 mm from the centerline. - Dimensional offset from reference point O to where \( F_B \) is applied is horizontally 150 mm along the y-axis and 100 mm offset along the x-axis towards left. - Vertical distance from O: 650 mm towards left. - **Force \( F_A \)** is located 750 mm from the reference point O along the positive Z-axis. - Positioning along the x-axis: 100 mm from the centerline towards right. - Positioning along the y-axis: 150 mm from the centerline. - Dimensional offset from reference point O to where \( F_A \) is applied: 100 mm along the y-axis and 150 mm offset along the x-axis towards right. - Vertical distance from O: 700 mm towards right.- **Support System Measurement** - The support area underneath the structure is evident, with a length of 600 mm along the x-axis. - Center of the base structure: Extends symmetrically 300 mm to the left and right of O respectively.This diagram is typical of structural analysis in mechanical or civil engineering, emphasizing the distribution and impact of forces

To determine:A)Resultant force (F)B)Location of resultant force in the x-y plane

Answered: If FA= 6 kN and FB=3 kN determine the…

If FA= 6 kN and FB=3 kN determine the magnitude of the resultant force (A) and specify the location of the resultant force on the x-y plane (B).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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If F_A= 6 kN and F_B=3 kN determine the magnitude of the resultant force (A) and specify the location of the resultant force on the x-y plane (B).

### Structural Load Distribution

#### Diagram Explanation
The diagram presented showcases a structural component subjected to two forces, FA and FB, each contributing to the overall load distribution. Below is a detailed description and analysis of the diagram:

- **Forces Applied**
- \( F_A = 8 \) kN (applied downward)
- \( F_B = 6 \) kN (applied downward)

- **Coordinate System**
The diagram is plotted within an XYZ coordinate system:
- **X-axis**: Runs horizontally from left to right.
- **Y-axis**: Runs horizontally from the front to the back.
- **Z-axis**: Runs vertically upwards.

- **Dimensions and Distances**
- The entire structure stretches horizontally along the x-axis.
- The width along the y-axis is given as 250 mm.
- The height along the z-axis is measured by different levels for each force.

- **Positioning of Forces**
- **Force \( F_B \)** is located 750 mm from the reference point O along the positive Z-axis.
- Positioning along the x-axis: 100 mm from the centerline towards left.
- Positioning along the y-axis: 150 mm from the centerline.
- Dimensional offset from reference point O to where \( F_B \) is applied is horizontally 150 mm along the y-axis and 100 mm offset along the x-axis towards left.
- Vertical distance from O: 650 mm towards left.

- **Force \( F_A \)** is located 750 mm from the reference point O along the positive Z-axis.
- Positioning along the x-axis: 100 mm from the centerline towards right.
- Positioning along the y-axis: 150 mm from the centerline.
- Dimensional offset from reference point O to where \( F_A \) is applied: 100 mm along the y-axis and 150 mm offset along the x-axis towards right.
- Vertical distance from O: 700 mm towards right.

- **Support System Measurement**
- The support area underneath the structure is evident, with a length of 600 mm along the x-axis.
- Center of the base structure: Extends symmetrically 300 mm to the left and right of O respectively.

This diagram is typical of structural analysis in mechanical or civil engineering, emphasizing the distribution and impact of forces

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