Answered: 6. The deflection of a horizontal beam…

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Mechanical Engineering

6. The deflection of a horizontal beam is described by the function y(x) = x¹ + x³ − 3x² − x+2 for −1

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

6.
The deflection of a horizontal beam is described by the function
y(x) = x¹ + x³ − 3x² − x+2 for −1<x<1.
Which of the following boundary conditions are true of this solution:
(a) Free condition at x = −1 and hinged condition at x = = 1;
(b) Free condition at x = −1 and embedded condition at x = 1;
(c) Hinged condition at x = −
-1 and hinged condition at x = = 1;
(d) Hinged condition at x = −1 and embedded condition at x = 1;
(e) Enbedded condition at x = −1 and embedded condition at x = 1;

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