File:ForceBucklingModeMatlab EF3.svg

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Description
Deutsch: Darstellung der Knickfälle
Date
Source
Author
Johannes Kalliauer  (1989–)  wikidata:Q59091777
 
Alternative names
JoKalliauer
Description Austrian civil engineer, scientist, student, university teacher, Wikipedian and Wikimedian
Date of birth 13 November 1989 Edit this at Wikidata
Location of birth Vienna
Work period 2017 Edit this at Wikidata
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Authority file
creator QS:P170,Q59091777
SVG development
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This W3C-invalid diagram was created with MATLAB.
 
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Source code
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MATLAB code

clear
clc
close all

%x=[-5:.01:5];
L=5; % [m]
xL=-1:0.000001:2; % [-] %xL:=x/L
x=L*xL; % [m]

%https://www.wolframalpha.com/input/?i=FindRoot%5B-x+%2B+Tan%5Bx%5D+%3D%3D+0%2C+%7Bx%2C+4.49%2C+4.50%7D%2C+WorkingPrecision+-%3E+60%5D
%xWolframAlpha=4.49340945790906417530788092728032208221558387229003290473356; %[-]
fun=@(xsym)tan(xsym)-xsym; % function
tanxMx=fzero(fun,4,optimset('TolX',1E-60));


w1=cos(pi*xL/2)-1; % [m]
w2=-sin(pi*xL); % [m]
w3=-1/(2*pi)*(sin(tanxMx*xL)+tanxMx*(1-xL-cos(tanxMx*xL))); % [m]
w4=(cos(2*pi*xL)-1)/2; % [m]
w5=(cos(pi*xL)-1)/2; % [m]
w0=0*xL; % [m]

kl3=pi/tanxMx; % ~0.699
k3=.5/kl3;  %Steigung
w3Linie=k3*xL-k3; %Wirkungslinie der Kraft

plot(x,w1,x,w2,x,w3,x,w4,x,w5,x,w0,x,w3Linie)
grid on
daspect([1 1 1])
print('-dsvg','Eulerfalle')

ForceBucklingModeMatlabSource

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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current21:01, 5 December 2020Thumbnail for version as of 21:01, 5 December 2020512 × 2,367 (17 KB)JoKalliauer (talk | contribs){{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}

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