A. Determine the x and y components of reaction at A. B. Determine the y component of reaction at B.
A. Determine the x and y components of reaction at A. B. Determine the y component of reaction at B.
Chapter6: Deflections Of Beams: Geometric Methods
Section: Chapter Questions
Problem 2P
Question
A. Determine the x and y components of reaction at A.
B. Determine the y component of reaction at B.
![**Beam Analysis Problem**
Consider the beam shown in the figure. Suppose that \( F = 21 \, \text{kN} \). The support at \( B \) can be assumed as a roller.
**Figure Explanation**
The diagram illustrates a horizontal beam supported at two points, \( A \) and \( B \). The following elements are included:
- **Supports:**
- \( A \): A fixed support at the left end of the beam.
- \( B \): A roller support located 12 meters from \( A \).
- **Loads:**
- There are five downward forces, each labeled \( F \), evenly distributed along the beam at intervals of 3 meters.
- An additional force of 8 kN is applied at an angle of 60° to the horizontal, located at the right end of the beam.
- **Dimensions:**
- The beam is divided into sections of 3 meters, with a total length of 15 meters.
This configuration is crucial for analyzing the reactions at supports \( A \) and \( B \), as well as the internal moments and shear forces along the beam.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ce6f6e3-a53e-4898-b247-4366f6e6c1b7%2F57f39ad9-e205-4080-bb8e-c450d850c9aa%2Fuv7uwn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Beam Analysis Problem**
Consider the beam shown in the figure. Suppose that \( F = 21 \, \text{kN} \). The support at \( B \) can be assumed as a roller.
**Figure Explanation**
The diagram illustrates a horizontal beam supported at two points, \( A \) and \( B \). The following elements are included:
- **Supports:**
- \( A \): A fixed support at the left end of the beam.
- \( B \): A roller support located 12 meters from \( A \).
- **Loads:**
- There are five downward forces, each labeled \( F \), evenly distributed along the beam at intervals of 3 meters.
- An additional force of 8 kN is applied at an angle of 60° to the horizontal, located at the right end of the beam.
- **Dimensions:**
- The beam is divided into sections of 3 meters, with a total length of 15 meters.
This configuration is crucial for analyzing the reactions at supports \( A \) and \( B \), as well as the internal moments and shear forces along the beam.
Expert Solution
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Step 1
Given:
F = 21 kN
Free body diagram:
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