Derive the equation for the elastic curve that is valid for 0 ≤ x < aL. Take a to be 2/5. This is a symbolic answer and you may take EI to be constant. NOTE: The slope at A is - A v(x) = -X-> -aL- P 8 PL² 125 EI (cc) BY NO SA 2022 Cathy Zupke -(1-a)L- B

Derive the equation for the elastic curve that is valid for 0 ≤ x < aL. Take a to be 2/5. This is a symbolic answer and you may take EI to be constant. NOTE: The slope at A is - A v(x) = -X-> -aL- P 8 PL² 125 EI (cc) BY NO SA 2022 Cathy Zupke -(1-a)L- 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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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

Derive the equation for the elastic curve that is valid for
0 ≤ x ≤ aL. Take a to be 2/5. This is a symbolic answer and
you may take EI to be constant.
NOTE: The slope at A is
A
v(x) =
-aL-
P
8 PL2
125 EI
cc i❀O
BY NC SA
2022 Cathy Zupke
-(1-a)L-
B

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