Determine the forces in all bars of the truss shown in the given figure. Indicate tension or compression. Given: X= 18 kN. 4m A 40 kN The force in bar AB (FAB) is The force in bar AG (FAG) is The force in bar BG (FBG) is The force in bar BC (FBC) is | The force in bar GC (FGC) is The force in bar GF (FGF) is The force in bar CF (FCF) is The force in bar CD (FCD) is [ The force in bar DF (FDF) is The force in bar DE (FDE) is The force in bar FE (FFE) is ( D 30 kN KN. (Compression KN. (Compression kN. (Tension KN. (Tension OKN. (NA -3m- kN. (Compression KN. (Compression KN. (Tension KN. (Tension KN. (Tension kN. (Compression E 20 kN X KN

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Truss Analysis and Force Calculation**

**Objective:**  
Determine the forces in all bars of the truss shown in the given figure. Indicate whether the forces are tension or compression. The given force \( X \) is 18 kN.

**Truss Description:**

The truss is a structure composed of several bars connected at joints, forming a shape. It is supported at point \( A \) and at a pinned joint at \( F \). There are external forces acting downward at points \( G \), \( D \), and \( E \).

**Dimensions:**
- Height from \( A \) to top: 4 m
- Horizontal spans: 3 m each between \( A \) and \( B \), \( B \) and \( C \), \( C \) and \( D \), and so on.

**External Loads:**
- Downward force at \( G \): 40 kN
- Downward force at \( F \): 30 kN
- Horizontal force at \( E \): \( X = 18 \) kN
- Downward force at \( E \): 20 kN

**Truss Members Forces Analysis:**
- **\( F_{AB} \):** Compression
- **\( F_{AG} \):** Compression
- **\( F_{BG} \):** Tension
- **\( F_{BC} \):** Tension
- **\( F_{GC} \):** Compression
- **\( F_{GF} \):** Compression
- **\( F_{CF} \):** Tension
- **\( F_{CD} \):** Compression
- **\( F_{DF} \):** 
  - Force is 0 kN
  - Not applicable for tension or compression
- **\( F_{DE} \):** Tension
- **\( F_{FE} \):** Compression

**Graph/Diagram Explanation:**

The diagram depicts a truss formed by bars connected at nodes labeled \( A \), \( B \), \( C \), \( D \), \( E \), \( F \), and \( G \). Each node is at the junction of two or more bars. The diagram also shows various external forces acting on the truss, which must be accounted for in determining the internal forces in each truss member.

This analysis aims to understand the distribution of forces within the
Transcribed Image Text:**Truss Analysis and Force Calculation** **Objective:** Determine the forces in all bars of the truss shown in the given figure. Indicate whether the forces are tension or compression. The given force \( X \) is 18 kN. **Truss Description:** The truss is a structure composed of several bars connected at joints, forming a shape. It is supported at point \( A \) and at a pinned joint at \( F \). There are external forces acting downward at points \( G \), \( D \), and \( E \). **Dimensions:** - Height from \( A \) to top: 4 m - Horizontal spans: 3 m each between \( A \) and \( B \), \( B \) and \( C \), \( C \) and \( D \), and so on. **External Loads:** - Downward force at \( G \): 40 kN - Downward force at \( F \): 30 kN - Horizontal force at \( E \): \( X = 18 \) kN - Downward force at \( E \): 20 kN **Truss Members Forces Analysis:** - **\( F_{AB} \):** Compression - **\( F_{AG} \):** Compression - **\( F_{BG} \):** Tension - **\( F_{BC} \):** Tension - **\( F_{GC} \):** Compression - **\( F_{GF} \):** Compression - **\( F_{CF} \):** Tension - **\( F_{CD} \):** Compression - **\( F_{DF} \):** - Force is 0 kN - Not applicable for tension or compression - **\( F_{DE} \):** Tension - **\( F_{FE} \):** Compression **Graph/Diagram Explanation:** The diagram depicts a truss formed by bars connected at nodes labeled \( A \), \( B \), \( C \), \( D \), \( E \), \( F \), and \( G \). Each node is at the junction of two or more bars. The diagram also shows various external forces acting on the truss, which must be accounted for in determining the internal forces in each truss member. This analysis aims to understand the distribution of forces within the
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