### Structural Analysis Problem: Beam Deflection and Slope Calculation**Question:** Determine the deflection and slope at point \( C \) by using the singularity function method.**Diagram Explanation:**- **A Simply Supported Beam:** The diagram features a simply supported beam \( AB \), which is acted upon by two different loads.- **Support Conditions:** - **Point \( A \):** This end of the beam is supported by a pin support. - **Point \( B \):** This end of the beam is supported by a roller support.- **Loading Conditions:** - There is a uniformly distributed load of \( 30 \, \text{kN/m} \) acting over the length \( AC \) (2.4 m from \( A \)). - Additionally, there is a concentrated load of \( 50 \, \text{kN} \) acting at point \( D \), which is 1.2 meters from \( B \).- **Dimensions:** - From \( A \) to \( C \): \( 2.4 \, \text{m} \) - From \( C \) to \( D \): \( 1.2 \, \text{m} \) - From \( D \) to \( B \): \( 1.2 \, \text{m} \)**Objective:**- Determine the deflection (vertical displacement) and slope (angular displacement) at point \( C \).**Methods:**- Use the singularity function method for calculating the deflection and slope at the specified point on the beam.

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Answered: A 30 kN/m 2.4 m C 50 kN 1.2 m D 1.2 m B…

A 30 kN/m 2.4 m C 50 kN 1.2 m D 1.2 m B Q4. Determine the deflection and slope at point C by using singularity function method.

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.

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Step 1: Find the reaction at the support

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