Wikimore

Summary

Description

Deutsch: Darstellung der Knickfälle

Date

12 July 2020

Source

File:ForceBucklingModeMatlabSource.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:ForceBucklingModeMatlab EF1.svg → File:ForceBucklingModeMatlabSource.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#1000ForceBucklingModeMatlab%20EF1.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')

ForceBucklingModeMatlabSource

Licensing

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Category:CC-BY-SA-4.0#ForceBucklingModeMatlab%20EF1.svg

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