1.75m 1.5 m 2.75m Given: G/e Find: 2.25m Đ C B 2.0m • h = 2.05 meters • Tension = 85 Newtons E 1.5m W Magnitude of internal axial force (Newtons) A Axial Force Bending moment V Shear force
1.75m 1.5 m 2.75m Given: G/e Find: 2.25m Đ C B 2.0m • h = 2.05 meters • Tension = 85 Newtons E 1.5m W Magnitude of internal axial force (Newtons) A Axial Force Bending moment V Shear force
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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![**Analysis of a Mechanical Structure**
In the given figure, there is a mechanical structure comprised of several points and forces acting on it. The structure has different segments positioned vertically and horizontally with differing lengths. A detailed description follows:
### Structural Diagram:
**Left Diagram:**
1. **Points and Lengths:**
- **Point D:** Positioned at the top with a vertical distance of 1.75 meters from point C.
- **Point C:** Positioned 1.5 meters vertically from point B.
- **Point B:** Situated 2.75 meters vertically above point A. Additionally, point B is aligned horizontally with point D.
- **Point E:** Horizontally 2.0 meters from point D towards the right.
- **Point F:** Horizontally 1.5 meters from point E towards the right, where force \( W \) is acting downwards.
2. **Angles and Distances:**
- The distance between point G and point A is 2.25 meters with an angle \( \theta \) at point G.
- The vertical distance from point A to point E is represented as \( h \).
3. **Dimensions (Given):**
- \( h = 2.05 \) meters.
- Tension = 85 Newtons.
**Right Diagram:**
1. **Force Analysis:**
- The diagram represents the axial force, bending moment, and vertical shear force (\( V \)) acting on the segment between points A and A under the shear force diagram.
### Problem Statement:
You are required to determine the magnitude of the internal axial force (in Newtons) based on the given dimensions and tension.
### Given Data:
- \( h = 2.05 \) meters
- Tension = 85 Newtons
### Objective:
- Calculate the **magnitude of the internal axial force** in Newtons.
### Procedure:
1. **Analyse Forces and Moments:**
- Consider the forces acting on each point and the distances between them.
- Consider the vertical and horizontal distances as well as the angles formed by the structure.
2. **Apply Principles of Mechanics:**
- Use principles of static equilibrium which include summation of forces in horizontal and vertical directions and summation of moments about a point.
- Calculate the internal axial force accordingly.
By thoroughly analyzing the given structure and applying the concepts of tension and force distribution,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0062023f-64ec-498a-8360-7c79f327cf33%2F618595a2-ec3e-44fb-8565-06871b2bcf10%2F8kqgq5t_processed.png&w=3840&q=75)
Transcribed Image Text:**Analysis of a Mechanical Structure**
In the given figure, there is a mechanical structure comprised of several points and forces acting on it. The structure has different segments positioned vertically and horizontally with differing lengths. A detailed description follows:
### Structural Diagram:
**Left Diagram:**
1. **Points and Lengths:**
- **Point D:** Positioned at the top with a vertical distance of 1.75 meters from point C.
- **Point C:** Positioned 1.5 meters vertically from point B.
- **Point B:** Situated 2.75 meters vertically above point A. Additionally, point B is aligned horizontally with point D.
- **Point E:** Horizontally 2.0 meters from point D towards the right.
- **Point F:** Horizontally 1.5 meters from point E towards the right, where force \( W \) is acting downwards.
2. **Angles and Distances:**
- The distance between point G and point A is 2.25 meters with an angle \( \theta \) at point G.
- The vertical distance from point A to point E is represented as \( h \).
3. **Dimensions (Given):**
- \( h = 2.05 \) meters.
- Tension = 85 Newtons.
**Right Diagram:**
1. **Force Analysis:**
- The diagram represents the axial force, bending moment, and vertical shear force (\( V \)) acting on the segment between points A and A under the shear force diagram.
### Problem Statement:
You are required to determine the magnitude of the internal axial force (in Newtons) based on the given dimensions and tension.
### Given Data:
- \( h = 2.05 \) meters
- Tension = 85 Newtons
### Objective:
- Calculate the **magnitude of the internal axial force** in Newtons.
### Procedure:
1. **Analyse Forces and Moments:**
- Consider the forces acting on each point and the distances between them.
- Consider the vertical and horizontal distances as well as the angles formed by the structure.
2. **Apply Principles of Mechanics:**
- Use principles of static equilibrium which include summation of forces in horizontal and vertical directions and summation of moments about a point.
- Calculate the internal axial force accordingly.
By thoroughly analyzing the given structure and applying the concepts of tension and force distribution,
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