File:ForceBucklingMode4.svg
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Size of this PNG preview of this SVG file: 512 × 433 pixels. Other resolutions: 284 × 240 pixels | 568 × 480 pixels | 908 × 768 pixels | 1,211 × 1,024 pixels | 2,422 × 2,048 pixels.
Original file (SVG file, nominally 512 × 433 pixels, file size: 9 KB)
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Summary[edit]
| Description |
Deutsch: Darstellung der Knickfälle |
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| SVG development |  This diagram was created with MATLAB.  This diagram uses embedded text that can be easily translated using a text editor. | |||||||||||||||||||||||||
| Source code | MATLAB codeclear
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')
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Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
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/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:46, 12 July 2020 | | 512 × 433 (9 KB) | JoKalliauer (talk | contribs) | Uploaded own work with UploadWizard |
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