The beam in the figure has constant E and I as shown for each of the two segments AB and BC. Find the ratio of the displacement over the rotation (i.e., Uy O at a distance 2.5 to the right of point A. 120 kN 300 kN · m A В 6 m 3 m 21 I

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The beam in the figure has constant \( E \) and \( I \) as shown for each of the two segments \( AB \) and \( BC \). Find the ratio of the displacement over the rotation (i.e., \( \frac{u_y}{\theta} \) ) at a distance 2.5 to the right of point \( A \).

**Diagram Explanation:**

- **Beam Structure**: The diagram shows a horizontal beam fixed at point \( A \) and extending through points \( B \) and \( C \).
- **Segment Lengths**: 
  - Segment \( AB \) is 6 meters in length, denoted as \( 2I \).
  - Segment \( BC \) is 3 meters in length, denoted as \( I \).
- **Forces and Moments**:
  - A 120 kN force is applied downward at point \( B \).
  - A 300 kN·m clockwise moment is applied at point \( C \).

The task is to calculate the specified ratio related to displacement and rotation at a particular point along the beam.
Transcribed Image Text:The beam in the figure has constant \( E \) and \( I \) as shown for each of the two segments \( AB \) and \( BC \). Find the ratio of the displacement over the rotation (i.e., \( \frac{u_y}{\theta} \) ) at a distance 2.5 to the right of point \( A \). **Diagram Explanation:** - **Beam Structure**: The diagram shows a horizontal beam fixed at point \( A \) and extending through points \( B \) and \( C \). - **Segment Lengths**: - Segment \( AB \) is 6 meters in length, denoted as \( 2I \). - Segment \( BC \) is 3 meters in length, denoted as \( I \). - **Forces and Moments**: - A 120 kN force is applied downward at point \( B \). - A 300 kN·m clockwise moment is applied at point \( C \). The task is to calculate the specified ratio related to displacement and rotation at a particular point along the beam.
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