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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf4a0e0b-2125-467b-b1bc-8bc81e995df8%2F54daa4d8-5add-472e-991a-dd64d8ff93a5%2Fg1tmipo_processed.png&w=3840&q=75)
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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