**Title: Calculating Forces in a Loaded Truss****Objective:** Calculate the forces in members BE and BD of the loaded truss. The forces are positive if in tension and negative if in compression.**Given Data:** - Force \( F = 7.6 \, \text{kN} \)- Dimensions: - \( a = 3.2 \, \text{m} \) - \( b = 3 \, \text{m} \) - \( c = 2 \, \text{m} \) - \( d = 2 \, \text{m} \)**Diagram Explanation:** The diagram illustrates a truss with several points labeled from A to D, with corresponding members (BE and BD) whose forces need to be calculated.- Member AB is horizontal and connected to a vertical force \( F \) pointing downward from point A.- Members BE and BD are inclined.- The area around point D shows a right triangle with sides labeled c and d, suggesting geometrical calculations may be necessary.**Task:** Determine the forces in members BE and BD.**Answers Section:** Provide your calculated force values for the members:- \( BE = \) [input field] kN- \( BD = \) [input field] kN*Note: Each value should reflect whether the force is in tension (positive) or in compression (negative).*

Answered: Image /qna-images/answer/6f4f90de-e152-42ee-a908-052560462952.jpg

Calculate the forces in members BE and BD of the loaded truss. The forces are positive if in tension, negative if in compression. Assume F = 7.6 kN, a = 3.2 m, b = 3 m, c = 2 m, and d = 2 m. A F Answers: BE= BD = a i B b E a D 2. KN KN

Calculate the forces in members BE and BD of the loaded truss. The forces are positive if in tension, negative if in compression. Assume F = 7.6 kN, a = 3.2 m, b = 3 m, c = 2 m, and d = 2 m. A F Answers: BE= BD = a i B b E a D 2. KN KN

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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Concept explainers

Plane and Space Trusses

In civil engineering, a truss is the most important structure that forms the most fundamental member of any building structure and commercial complexes. Trusses are composed of individual members or links that are interconnected by suitable joints, such as rivets, welds, or bolts, and nuts. In trusses, the interconnection leads to the formation of a series of triangles joined together such that all the triangular members behave as a single rigid body. In a simple truss, three members are connected to form a truss member. In trusses, the force always acts at the joints or the interconnection between the individual members.

Question

**Title: Calculating Forces in a Loaded Truss**

**Objective:**
Calculate the forces in members BE and BD of the loaded truss. The forces are positive if in tension and negative if in compression.

**Given Data:**
- Force \( F = 7.6 \, \text{kN} \)
- Dimensions:
- \( a = 3.2 \, \text{m} \)
- \( b = 3 \, \text{m} \)
- \( c = 2 \, \text{m} \)
- \( d = 2 \, \text{m} \)

**Diagram Explanation:**
The diagram illustrates a truss with several points labeled from A to D, with corresponding members (BE and BD) whose forces need to be calculated.

- Member AB is horizontal and connected to a vertical force \( F \) pointing downward from point A.
- Members BE and BD are inclined.
- The area around point D shows a right triangle with sides labeled c and d, suggesting geometrical calculations may be necessary.

**Task:**
Determine the forces in members BE and BD.

**Answers Section:**
Provide your calculated force values for the members:

- \( BE = \) [input field] kN
- \( BD = \) [input field] kN

*Note: Each value should reflect whether the force is in tension (positive) or in compression (negative).*

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