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The magnitude of the force in member DE is: O 13.3 kN O 10.0 kN 20.0 KN O Zero O 15.0 kN DE O None of the above

The magnitude of the force in member DE is: O 13.3 kN O 10.0 kN 20.0 KN O Zero O 15.0 kN DE O None of the above

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 Statement The magnitude of the force in member DE is: - ○ 13.3 kN - ○ 10.0 kN - ○ 20.0 kN - ○ Zero - ○ 15.0 kN - ○ None of the above
Transcribed Image Text:### Problem Statement The magnitude of the force in member DE is: - ○ 13.3 kN - ○ 10.0 kN - ○ 20.0 kN - ○ Zero - ○ 15.0 kN - ○ None of the above
### Structural Analysis of a Truss #### Description: The image depicts a truss structure commonly used in engineering and architecture. #### Components and Dimensions: - **Points & Connections:** - **A, B, C, D, E, F, G:** - These points denote the joints in the truss where different members (bars) are connected. - **Members:** - The truss consists of multiple members forming triangular and rectangular elements. - **Loads:** - There are two downward forces, each with a magnitude of **12 kN**, acting at points G and F. #### Dimensions: - Horizontal distances between points are: - From **A to G**: 3 meters - From **G to F**: 3 meters - From **F to E**: 3 meters - The entire span from **A to E** is 9 meters (3 + 3 + 3 meters). - Vertical distance: - The height from point **D to E** is **4 meters**. #### Setup: - **Support at A:** Represented by a triangular base, indicating a pin support which allows rotation but not translation. - **Support at E:** Represented by a roller support, which allows for horizontal movement but restricts vertical movement, indicating it is a hinge support. #### Equilibrium Conditions: For the truss to be in equilibrium: - The sum of all vertical forces must be zero. - The sum of all horizontal forces must be zero. - The sum of moments about any point must be zero. This image is fundamental for understanding how to analyze a truss structure by breaking it down into manageable sections and applying static equilibrium equations to determine the forces in each member.
Transcribed Image Text:### Structural Analysis of a Truss #### Description: The image depicts a truss structure commonly used in engineering and architecture. #### Components and Dimensions: - **Points & Connections:** - **A, B, C, D, E, F, G:** - These points denote the joints in the truss where different members (bars) are connected. - **Members:** - The truss consists of multiple members forming triangular and rectangular elements. - **Loads:** - There are two downward forces, each with a magnitude of **12 kN**, acting at points G and F. #### Dimensions: - Horizontal distances between points are: - From **A to G**: 3 meters - From **G to F**: 3 meters - From **F to E**: 3 meters - The entire span from **A to E** is 9 meters (3 + 3 + 3 meters). - Vertical distance: - The height from point **D to E** is **4 meters**. #### Setup: - **Support at A:** Represented by a triangular base, indicating a pin support which allows rotation but not translation. - **Support at E:** Represented by a roller support, which allows for horizontal movement but restricts vertical movement, indicating it is a hinge support. #### Equilibrium Conditions: For the truss to be in equilibrium: - The sum of all vertical forces must be zero. - The sum of all horizontal forces must be zero. - The sum of moments about any point must be zero. This image is fundamental for understanding how to analyze a truss structure by breaking it down into manageable sections and applying static equilibrium equations to determine the forces in each member.
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