Wikimore

Summary

Description

Deutsch: Darstellung der Knickfälle

Date

12 July 2020

Source

File:ForceBucklingModeMatlabCode.svg is a vector version of this file. It should be used in place of this SVG file when not inferior.Category:Vector version available

File:ForceBucklingModeMatlabSource.svg → File:ForceBucklingModeMatlabCode.svg

For more information, see Help:SVG.

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Author

Johannes Kalliauer (1989–)
Alternative names	JoKalliauer
Description	Austrian civil engineer, scientist, student, university teacher, Wikipedian and Wikimedian
Date of birth	13 November 1989
Location of birth	Vienna
Work period	2017 –
Work location	Vienna; Langenlois; Cambridge
Authority file	: Q59091777 VIAF: 3650166414910202740006 ORCID: 0000-0003-4178-4510 ResearcherID: F-2468-2019 GND: 1268220256

Category:Uploaded by JoKalliauer#Uploaded%20by%20JoKalliauer

SVG development

The source code of this SVG is invalid due to an error.

This W3C-invalid diagram was created with MATLAB.

Category:Invalid SVG created with MATLAB code:Diagrams#1000ForceBucklingModeMatlabSource.svg

Category:Translation possible - SVGThis diagram uses embedded text that can be easily translated using a text editor.

Source code

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

I, the copyright holder of this work, hereby publish it under the following license:

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to share – to copy, distribute and transmit the work
to remix – to adapt the work

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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.
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.

Category:CC-BY-SA-4.0#ForceBucklingModeMatlabSource.svg

Category:Self-published work Category:Architectural diagrams Category:Buckling Category:Civil engineering Category:Solid mechanics Category:Diagrams about trusses