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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

Structural Analysis
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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**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.
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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