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4 kN A 30 6 m -2 m

4 kN A 30 6 m -2 m

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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USE IMAGE BELOW Question; draw and fully label the Freebody diagram of the BEAM in the picture below.
This diagram depicts a structural setup with a beam supported at two points, A and B. Point A is a fixed support while point B is a roller support resting on an inclined plane. Key components and annotations in the diagram: 1. **Beam**: A horizontal beam is shown supported at two points with a length of 8 meters. 2. **Support at A**: Point A, located at the left end of the beam, is a fixed support indicated by a triangular symbol and labeled 'A'. This support can resist both vertical and horizontal forces as well as a moment. 3. **Support at B**: Point B, located at the right end of the beam, is a roller support on an inclined plane with an angle of 30°. This support allows the beam to move horizontally along the incline and can resist vertical forces but not a moment. 4. **Distance Measurements**: The distance between points A and B is shown to be 8 meters. Additionally, the distance from point A to the point of application of the force is labeled as 6 meters, leaving a distance of 2 meters between the force application point and support B. 5. **Force Application**: A downward vertical force of 4 kN is applied on the beam, 6 meters from point A and 2 meters from point B. This setup may represent a typical problem in structural analysis involving calculating reactions at supports, shear force, and bending moment diagrams. In such problems, principles of equilibrium and compatibility are employed to solve for unknown forces and moments to ensure the structure’s stability.
Transcribed Image Text:This diagram depicts a structural setup with a beam supported at two points, A and B. Point A is a fixed support while point B is a roller support resting on an inclined plane. Key components and annotations in the diagram: 1. **Beam**: A horizontal beam is shown supported at two points with a length of 8 meters. 2. **Support at A**: Point A, located at the left end of the beam, is a fixed support indicated by a triangular symbol and labeled 'A'. This support can resist both vertical and horizontal forces as well as a moment. 3. **Support at B**: Point B, located at the right end of the beam, is a roller support on an inclined plane with an angle of 30°. This support allows the beam to move horizontally along the incline and can resist vertical forces but not a moment. 4. **Distance Measurements**: The distance between points A and B is shown to be 8 meters. Additionally, the distance from point A to the point of application of the force is labeled as 6 meters, leaving a distance of 2 meters between the force application point and support B. 5. **Force Application**: A downward vertical force of 4 kN is applied on the beam, 6 meters from point A and 2 meters from point B. This setup may represent a typical problem in structural analysis involving calculating reactions at supports, shear force, and bending moment diagrams. In such problems, principles of equilibrium and compatibility are employed to solve for unknown forces and moments to ensure the structure’s stability.
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