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File:ForceBucklingModeMatlab EF3.svg

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    Deutsch: Darstellung der Knickfälle
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    File:ForceBucklingModeMatlabSource.svg is a vector version of this file. It should be used in place of this SVG file when not inferior.
    File:ForceBucklingModeMatlab EF3.svg → File:ForceBucklingModeMatlabSource.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
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    creator QS:P170,Q59091777
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     The source code of this SVG is invalid due to an error.
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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

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    I, the copyright holder of this work, hereby publish it under the following license:
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    You are free:
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    • 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.
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