The truss is loaded as shown. 3.2 kN A B 3.0 m 3.2 kN 1.6 kN D 3.0 m F |-30 m- -3.0 m - Analyze it using the method of joints to find all member forces and reactions in kilonewtons. (Assume that the +x-axis is to the right and the +y-axis is up along the page. FAB magnitude kN sense tension FAC magnitude kN sense tension FAD magnitude kN sense compression FBF magnitude |KN compression sense CD magnitude kN sense The magnitude is zero. FCE magnitude kN sense tension FDE magnitude kN sense The magnitude is zero. FOF magnitude kN sense compression FEF magnitude |kN sense compression magnitude KN direction E, magnitude kN direction Fy magnitude kN direction

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Truss Analysis: Method of Joints**

The diagram shows a truss loaded with various forces. Analyze the truss using the method of joints to find all member forces and reactions in kilonewtons. Assume the positive x-axis is to the right and the positive y-axis is up along the page.

**Diagram Details:**
- Points A, B, C, D, E, F form the truss.
- External loads: 3.2 kN at points A and B, 1.6 kN at point C.
- Dimensions: 3.0 m horizontal lengths, 3.0 m vertical height.

**Truss Member Forces:**
1. \( F_{AB} \)
   - Magnitude: _______ kN
   - Sense: [ ] Tension [ ] Compression

2. \( F_{AC} \)
   - Magnitude: _______ kN
   - Sense: [ ] Tension [ ] Compression

3. \( F_{AD} \)
   - Magnitude: _______ kN
   - Sense: [ ] Compression

4. \( F_{BF} \)
   - Magnitude: _______ kN
   - Sense: [ ] Compression

5. \( F_{CD} \)
   - Magnitude: _______ kN
   - Sense: [ ] Zero

6. \( F_{CE} \)
   - Magnitude: _______ kN
   - Sense: [ ] Tension

7. \( F_{DE} \)
   - Magnitude: _______ kN
   - Sense: [ ] Zero

8. \( F_{DF} \)
   - Magnitude: _______ kN
   - Sense: [ ] Compression

9. \( F_{EF} \)
   - Magnitude: _______ kN
   - Sense: [ ] Compression

**Reaction Forces:**
1. \( E_X \)
   - Magnitude: _______ kN
   - Direction: [ ] Right [ ] Left

2. \( E_Y \)
   - Magnitude: _______ kN
   - Direction: [ ] Up [ ] Down

3. \( F_Y \)
   - Magnitude: _______ kN
   - Direction: [ ] Up [ ] Down

Analyze each joint, apply equilibrium equations, and solve for the unknown forces and reactions.
Transcribed Image Text:**Truss Analysis: Method of Joints** The diagram shows a truss loaded with various forces. Analyze the truss using the method of joints to find all member forces and reactions in kilonewtons. Assume the positive x-axis is to the right and the positive y-axis is up along the page. **Diagram Details:** - Points A, B, C, D, E, F form the truss. - External loads: 3.2 kN at points A and B, 1.6 kN at point C. - Dimensions: 3.0 m horizontal lengths, 3.0 m vertical height. **Truss Member Forces:** 1. \( F_{AB} \) - Magnitude: _______ kN - Sense: [ ] Tension [ ] Compression 2. \( F_{AC} \) - Magnitude: _______ kN - Sense: [ ] Tension [ ] Compression 3. \( F_{AD} \) - Magnitude: _______ kN - Sense: [ ] Compression 4. \( F_{BF} \) - Magnitude: _______ kN - Sense: [ ] Compression 5. \( F_{CD} \) - Magnitude: _______ kN - Sense: [ ] Zero 6. \( F_{CE} \) - Magnitude: _______ kN - Sense: [ ] Tension 7. \( F_{DE} \) - Magnitude: _______ kN - Sense: [ ] Zero 8. \( F_{DF} \) - Magnitude: _______ kN - Sense: [ ] Compression 9. \( F_{EF} \) - Magnitude: _______ kN - Sense: [ ] Compression **Reaction Forces:** 1. \( E_X \) - Magnitude: _______ kN - Direction: [ ] Right [ ] Left 2. \( E_Y \) - Magnitude: _______ kN - Direction: [ ] Up [ ] Down 3. \( F_Y \) - Magnitude: _______ kN - Direction: [ ] Up [ ] Down Analyze each joint, apply equilibrium equations, and solve for the unknown forces and reactions.
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