Answered: Пи (a) М — — Рх х V = -P (b)

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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Question

The cantilevered beam in Fig. a has a rectangular cross section and is subjected to a load P at its end. Determine the displacement of the
load. EI is constant.

Expert Solution

Step 1

The moment of the beam about the section is,

By the method of Macaulay’s double integration method.

Here, EI is the flexural rigidity, y is the deflection at x distance, and M_x-xis the moment at section.

From the above expression,

Step 2

Integrate the above expression with respect to x.

Integrate the above expression with respect to x again.

Here, C₁ and C₂ are the integrati1ng constant.

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