### Truss Analysis#### Problem Statement:The truss is subjected to the loading shown. It is supported by a pin at point \( A \) and a roller at point \( L \). Determine the force in members \( FH \), \( HG \), and \( GI \), and state if the members are in tension or compression. Present a Free-Body Diagram (FBD) for each analysis performed.#### Diagram and Details:![Truss Diagram](image-placeholder)- **Truss Labels and Dimensions:** - Points: \( A \), \( B \), \( C \), \( D \), \( E \), \( F \), \( G \), \( H \), \( I \), \( J \), \( K \), and \( L \) - Each segment between vertical points is 8 ft - The height from point \( A \) to point \( F \) is 6 ft - The height from point \( K \) to point \( L \) is 4.5 ft- **Loads:** - 0.8 kips downward at point \( B \) - 2.4 kips downward at point \( C \) - 1.6 kips downward at point \( D \) - 1.6 kips downward at point \( F \) - 1.6 kips downward at point \( H \) - 0.8 kips downward at point \( J \) ![Detailed Truss Analysis Diagram](image-placeholder)

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The truss is subjected to the loading shown. It is supported by a pin at A and a roller at L. Determine the force in members FH, HG and GI, and state if the members are in tension or compression. Present a FBD for every analysis performed. 2.4 kips 1.6 kips 0.8 kip A 1.6 kips B Cl 8 ft D E 8 ft F G 8 ft 1.6 kips 8 ft H 1.6 kips 8 ft K 0.8 kip 6 ft L 14.5 ft obdo 8 ft

The truss is subjected to the loading shown. It is supported by a pin at A and a roller at L. Determine the force in members FH, HG and GI, and state if the members are in tension or compression. Present a FBD for every analysis performed. 2.4 kips 1.6 kips 0.8 kip A 1.6 kips B Cl 8 ft D E 8 ft F G 8 ft 1.6 kips 8 ft H 1.6 kips 8 ft K 0.8 kip 6 ft L 14.5 ft obdo 8 ft

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

### Truss Analysis

#### Problem Statement:
The truss is subjected to the loading shown. It is supported by a pin at point \( A \) and a roller at point \( L \). Determine the force in members \( FH \), \( HG \), and \( GI \), and state if the members are in tension or compression. Present a Free-Body Diagram (FBD) for each analysis performed.

#### Diagram and Details:

![Truss Diagram](image-placeholder)

- **Truss Labels and Dimensions:**
- Points: \( A \), \( B \), \( C \), \( D \), \( E \), \( F \), \( G \), \( H \), \( I \), \( J \), \( K \), and \( L \)
- Each segment between vertical points is 8 ft
- The height from point \( A \) to point \( F \) is 6 ft
- The height from point \( K \) to point \( L \) is 4.5 ft

- **Loads:**
- 0.8 kips downward at point \( B \)
- 2.4 kips downward at point \( C \)
- 1.6 kips downward at point \( D \)
- 1.6 kips downward at point \( F \)
- 1.6 kips downward at point \( H \)
- 0.8 kips downward at point \( J \)

![Detailed Truss Analysis Diagram](image-placeholder)

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