Determine the slope and deflection at pointB of the beam shown by the moment-area method. The diagram represents a cantilever beam with a point load. Here is the detailed transcription and explanation:---### Cantilever Beam with Point Load#### Diagram Explanation:The diagram illustrates a cantilever beam AB with a point load \( P \) applied at a distance \( a \) from the fixed end A.- **A**: The fixed support of the beam.- **B**: The free end of the beam.- **L**: The total length of the beam from point A to point B.- **a**: The distance from point A (fixed end) to the point where the load \( P \) is applied.- **P**: The point load acting downward at a distance \( a \) from the fixed support.- **EI = constant**: This indicates that the product of the modulus of elasticity (E) and the moment of inertia of the cross-section (I) of the beam is constant along the length of the beam.The arrow pointing downward at distance \( a \) from point A represents the point load \( P \).This setup is commonly analyzed in structural engineering to determine the deflections, moments, and shear forces along the beam due to the applied load.---This content is ideal for students and professionals studying structural engineering, providing a clear and detailed understanding of the cantilever beam subjected to a point load.

Answered: P B -L-

Engineering

Civil Engineering

P B -L-

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Determine the slope and deflection at point
B of the beam shown by the moment-area method.

The diagram represents a cantilever beam with a point load. Here is the detailed transcription and explanation:

---

### Cantilever Beam with Point Load

#### Diagram Explanation:
The diagram illustrates a cantilever beam AB with a point load \( P \) applied at a distance \( a \) from the fixed end A.

- **A**: The fixed support of the beam.
- **B**: The free end of the beam.
- **L**: The total length of the beam from point A to point B.
- **a**: The distance from point A (fixed end) to the point where the load \( P \) is applied.
- **P**: The point load acting downward at a distance \( a \) from the fixed support.
- **EI = constant**: This indicates that the product of the modulus of elasticity (E) and the moment of inertia of the cross-section (I) of the beam is constant along the length of the beam.

The arrow pointing downward at distance \( a \) from point A represents the point load \( P \).

This setup is commonly analyzed in structural engineering to determine the deflections, moments, and shear forces along the beam due to the applied load.

---

This content is ideal for students and professionals studying structural engineering, providing a clear and detailed understanding of the cantilever beam subjected to a point load.

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