**Truss Analysis****Instructions:** Calculate the force in each member of the loaded truss. Forces are positive if in tension, negative if in compression.**Diagram Explanation:**The diagram shows a truss structure composed of five joints labeled A, B, C, D, and E, forming a shape that includes triangles and a quadrilateral. - **Joints and Measurements:** - Distance AB = 3.1 m - Distance BC = 3.1 m - Vertical Height (ED) = 3.8 m - A horizontal load of 6.9 kN is applied at point D, directed toward the left.**Calculated Forces in Members:**- \( AB = 3.45 \, \text{kN} \)- \( AE = 5.45794 \, \text{kN} \)- \( BC = 6.9 \, \text{kN} \)- \( BD = 5.46 \, \text{kN} \)- \( BE = 4.22 \, \text{kN} \)- \( CD = 4.229 \, \text{kN} \)- \( DE = 3.44972 \, \text{kN} \)The diagram and calculations help in understanding how forces distribute through the truss, crucial for ensuring structural stability and safety in engineering applications.

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Calculate the force in each member of the loaded truss. Forces are positive if in tension, negative if in compression. E D 6.9 kN 3.8 m 3.1 m 3.1 m A C 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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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

**Truss Analysis**

**Instructions:**
Calculate the force in each member of the loaded truss. Forces are positive if in tension, negative if in compression.

**Diagram Explanation:**
The diagram shows a truss structure composed of five joints labeled A, B, C, D, and E, forming a shape that includes triangles and a quadrilateral.

- **Joints and Measurements:**
- Distance AB = 3.1 m
- Distance BC = 3.1 m
- Vertical Height (ED) = 3.8 m
- A horizontal load of 6.9 kN is applied at point D, directed toward the left.

**Calculated Forces in Members:**
- \( AB = 3.45 \, \text{kN} \)
- \( AE = 5.45794 \, \text{kN} \)
- \( BC = 6.9 \, \text{kN} \)
- \( BD = 5.46 \, \text{kN} \)
- \( BE = 4.22 \, \text{kN} \)
- \( CD = 4.229 \, \text{kN} \)
- \( DE = 3.44972 \, \text{kN} \)

The diagram and calculations help in understanding how forces distribute through the truss, crucial for ensuring structural stability and safety in engineering applications.

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