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!

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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!

### 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**: \( 3 \, \text{m to the right of A} \)
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]
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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