Determine the reactions at the supports A and B of the compound beam. Assume A is a roller, C is a pin, and B is fixed. A 6 kN/m -3 m- 14 kN -1.5 m- C 8 kN/m -3 m- B
Determine the reactions at the supports A and B of the compound beam. Assume A is a roller, C is a pin, and B is fixed. A 6 kN/m -3 m- 14 kN -1.5 m- C 8 kN/m -3 m- B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![**Problem 3**
Determine the reactions at the supports A and B of the compound beam. Assume A is a roller, C is a pin, and B is fixed.
**Diagram Description:**
The diagram illustrates a horizontally oriented compound beam with three supports and several types of loads. The supports are located at points A, C, and B. Here is a detailed explanation:
1. **Support A (Roller):**
- Positioned at the leftmost end of the beam.
- The beam extends 3 meters horizontally from Support A to the next load application.
2. **Support C (Pin):**
- Located 4.5 meters from the left end of the beam (3 meters from A and an additional 1.5 meters from a point load).
- The beam is continuous through Support C to the next segment.
3. **Support B (Fixed):**
- Found at the rightmost end of the beam, 7.5 meters from Support A (3 meters + 1.5 meters + 3 meters).
- The beam is secured to a wall at this point, indicating it is fixed and likely to provide both vertical and horizontal reactions, as well as a moment reaction.
4. **Loads:**
- **Uniformly Distributed Load (UDL) of 6 kN/m:**
- This load acts from Support A to the point located 3 meters from A, spanning the first segment of the beam.
- **Point Load of 14 kN:**
- The point load is applied 3 meters from Support A and 1.5 meters from the next support (Support C), totaling 4.5 meters from Support A.
- **Uniformly Distributed Load (UDL) of 8 kN/m:**
- This load spans the last 3-meter segment of the beam starting from 0.5 meters past Support C and ending at the fixed end (Support B).
**Beam Segment Lengths and Locations:**
- From A to just before the point load: 3 meters.
- From just before the point load to C: 1.5 meters.
- From C to B: 3 meters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf5aa2e5-f0b0-4839-a4ef-6f98d6dc8551%2F2f465d95-daa2-4a77-b463-637ec350f7fa%2F2x8xlgp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 3**
Determine the reactions at the supports A and B of the compound beam. Assume A is a roller, C is a pin, and B is fixed.
**Diagram Description:**
The diagram illustrates a horizontally oriented compound beam with three supports and several types of loads. The supports are located at points A, C, and B. Here is a detailed explanation:
1. **Support A (Roller):**
- Positioned at the leftmost end of the beam.
- The beam extends 3 meters horizontally from Support A to the next load application.
2. **Support C (Pin):**
- Located 4.5 meters from the left end of the beam (3 meters from A and an additional 1.5 meters from a point load).
- The beam is continuous through Support C to the next segment.
3. **Support B (Fixed):**
- Found at the rightmost end of the beam, 7.5 meters from Support A (3 meters + 1.5 meters + 3 meters).
- The beam is secured to a wall at this point, indicating it is fixed and likely to provide both vertical and horizontal reactions, as well as a moment reaction.
4. **Loads:**
- **Uniformly Distributed Load (UDL) of 6 kN/m:**
- This load acts from Support A to the point located 3 meters from A, spanning the first segment of the beam.
- **Point Load of 14 kN:**
- The point load is applied 3 meters from Support A and 1.5 meters from the next support (Support C), totaling 4.5 meters from Support A.
- **Uniformly Distributed Load (UDL) of 8 kN/m:**
- This load spans the last 3-meter segment of the beam starting from 0.5 meters past Support C and ending at the fixed end (Support B).
**Beam Segment Lengths and Locations:**
- From A to just before the point load: 3 meters.
- From just before the point load to C: 1.5 meters.
- From C to B: 3 meters.
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