Please help me find the reaction at B and the reaction at A (along with their directions). I have attached the magnitude and location of resultant just incase you need it, thank you!
Please help me find the reaction at B and the reaction at A (along with their directions). I have attached the magnitude and location of resultant just incase you need it, thank you!
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please help me find the reaction at B and the reaction at A (along with their directions). I have attached the magnitude and location of resultant just incase you need it, thank you!
Transcribed Image Text:### Beam and Loading Analysis
Consider the beam and loading with \( M = 12 \, \text{kN/m} \) shown in the figure below.
#### Diagram Explanation:
- The diagram illustrates a beam \( AB \) that spans 8 meters and is subject to a parabolic distributed load.
- Point \( A \) is on the left side, and point \( B \) is on the right end of the beam.
- The load is distributed in a parabolic manner with its peak (\( \text{Vertex} \)) at point \( M \).
### Determine the Magnitude and Location of the Resultant Load
The task is to calculate the magnitude and location of the resultant of the distributed load.
**Results:**
- **Magnitude of the Resultant**: \( 64 \, \text{kN} \)
- **Location of the Resultant**: \( 3 \, \text{m to the right of A} \)
![Consider the beam and loading with \( M = 12 \, \text{kN/m} \) shown in the figure.
The diagram illustrates a simply supported beam \( AB \) with a span of \( 8 \, \text{m} \). The beam is subject to a parabolic distributed load. The load intensity starts at point \( A \) (the vertex) and increases towards point \( B \).
- **Vertex**: The starting point of the load at support \( A \).
- **Parabola**: The shape indicating how the load intensity increases across the beam.
**Determine the reaction at the beam supports:**
The reaction at \( B \) is \(\_\_\_\_\_\) kN. [Click to select]
The reaction at \( A \) is \(\_\_\_\_\_\) kN. [Click to select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffc9e826-c865-4bea-8e1f-6dcccd31bfb0%2F99627e40-707d-4278-81b2-cb45e4834dba%2Ff9oma8_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the beam and loading with \( M = 12 \, \text{kN/m} \) shown in the figure.
The diagram illustrates a simply supported beam \( AB \) with a span of \( 8 \, \text{m} \). The beam is subject to a parabolic distributed load. The load intensity starts at point \( A \) (the vertex) and increases towards point \( B \).
- **Vertex**: The starting point of the load at support \( A \).
- **Parabola**: The shape indicating how the load intensity increases across the beam.
**Determine the reaction at the beam supports:**
The reaction at \( B \) is \(\_\_\_\_\_\) kN. [Click to select]
The reaction at \( A \) is \(\_\_\_\_\_\) kN. [Click to select]
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