### Problem StatementFor the beam and loading shown, determine the deflection at point C. Use \( E = 200 \, \text{GPa} \). It is given that \( P = 24 \, \text{kN} \).### Diagram Explanation- **Beam Diagram**: - The diagram shows a simply supported beam with supports at points A and B. - The beam is subject to a point load \( P \) acting downward at point C. - The distance between support A and point C is \( a = 1 \, \text{m} \). - The total length of the beam from A to B is \( L = 3 \, \text{m} \). - The beam section is labeled as W150 x 18.0, which refers to its size and weight per meter.### Calculation Result- The deflection at point C is \( 2.69 \, \text{mm} \).This example demonstrates how to find the deflection at a specific point on a beam under a concentrated load, using given material properties and load values.

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Answered: For the beam and loading shown,…

For the beam and loading shown, determine the deflection at point C. Use E= 200 GPa. It is given that P= 24 kN. a=1m L= 3 m The deflection at point Cis W150 x 18.0 2.69 mm. I

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

### Problem Statement

For the beam and loading shown, determine the deflection at point C. Use \( E = 200 \, \text{GPa} \). It is given that \( P = 24 \, \text{kN} \).

### Diagram Explanation

- **Beam Diagram**:
- The diagram shows a simply supported beam with supports at points A and B.
- The beam is subject to a point load \( P \) acting downward at point C.
- The distance between support A and point C is \( a = 1 \, \text{m} \).
- The total length of the beam from A to B is \( L = 3 \, \text{m} \).
- The beam section is labeled as W150 x 18.0, which refers to its size and weight per meter.

### Calculation Result

- The deflection at point C is \( 2.69 \, \text{mm} \).

This example demonstrates how to find the deflection at a specific point on a beam under a concentrated load, using given material properties and load values.

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