File:ForceBucklingMode4.svg

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Description
Deutsch: Darstellung der Knickfälle
Date
Source
File:ForceBucklingModeMatlab.svg is a vector version of this file. It should be used in place of this SVG file when not inferior.
File:ForceBucklingMode4.svg → File:ForceBucklingModeMatlab.svg
For more information, see Help:SVG.
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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 Edit this at Wikidata
Work period 2017 Edit this at Wikidata–
Work location
Vienna; Langenlois; Cambridge Edit this at Wikidata
Authority file
creator QS:P170,Q59091777
SVG development
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The SVG code is valid.
 
This diagram was created with MATLAB.
 
 This diagram uses embedded text that can be easily translated using a text editor.
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')

Licensing

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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:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
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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Date/TimeThumbnailDimensionsUserComment
current16:46, 12 July 2020Thumbnail for version as of 16:46, 12 July 2020512 × 433 (9 KB)JoKalliauer (talk | contribs)Uploaded own work with UploadWizard

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