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 ←X-> v(x) = | 8 PL2 125 EI -aL- P -(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 ←X-> v(x) = | 8 PL2 125 EI -aL- P -(1-a) L- B

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

100%

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→
8 PL²
125 EI
-aL-
P
−(1-a)L-
B

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