1.00 [kN] 2.00 [kN] B A 1.50 [m]- -3.00 [m]- C D 3.00 [kN] -3.00 [m]- 4.00 [kN] 1.50 [m] 0.750 [m]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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What is the force existing in member AB and In member AD ? Unit kN

The image presents a structural truss diagram, used to demonstrate force distribution and equilibrium in engineering. The truss consists of several interconnected members, denoted by points A, B, C, D, E, and F. Here is a detailed breakdown of each element:

### Truss Members and Joints:
- **Members**: AB, BC, CD, DE, EF, and AD
- **Joints**: A, B, C, D, E, F

### Forces Applied:
- **At Joint B**: 2.00 kN vertically downwards
- **At Joint C**: 1.00 kN vertically downwards
- **At Joint E**: 3.00 kN vertically downwards
- **At Joint F**: 4.00 kN vertically downwards

### Supports:
- **Support at A**: A triangular support indicating a pinned connection, allowing rotation but no translation.
- **Support at F**: A roller support indicating a connection allowing horizontal movement but no vertical translation.

### Dimensions:
- **Horizontal Distances**:
  - Between A and D: 3.00 meters
  - Between D and F: 3.00 meters
  - Total horizontal span (A to F): 6.00 meters

- **Vertical Heights**:
  - From A to B, D to E: 1.50 meters
  - Vertical height from D to the apex C: 1.50 meters
  - Vertical height from D to E (additional distance from D to middle point E): 0.750 meters

This diagram is frequently used in engineering and educational contexts to teach principles of static equilibrium, structural analysis, and force resolution within truss systems.
Transcribed Image Text:The image presents a structural truss diagram, used to demonstrate force distribution and equilibrium in engineering. The truss consists of several interconnected members, denoted by points A, B, C, D, E, and F. Here is a detailed breakdown of each element: ### Truss Members and Joints: - **Members**: AB, BC, CD, DE, EF, and AD - **Joints**: A, B, C, D, E, F ### Forces Applied: - **At Joint B**: 2.00 kN vertically downwards - **At Joint C**: 1.00 kN vertically downwards - **At Joint E**: 3.00 kN vertically downwards - **At Joint F**: 4.00 kN vertically downwards ### Supports: - **Support at A**: A triangular support indicating a pinned connection, allowing rotation but no translation. - **Support at F**: A roller support indicating a connection allowing horizontal movement but no vertical translation. ### Dimensions: - **Horizontal Distances**: - Between A and D: 3.00 meters - Between D and F: 3.00 meters - Total horizontal span (A to F): 6.00 meters - **Vertical Heights**: - From A to B, D to E: 1.50 meters - Vertical height from D to the apex C: 1.50 meters - Vertical height from D to E (additional distance from D to middle point E): 0.750 meters This diagram is frequently used in engineering and educational contexts to teach principles of static equilibrium, structural analysis, and force resolution within truss systems.
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