File:Contrainte resistance 3d proche.svg
![File:Contrainte resistance 3d proche.svg](https://upload.wikimedia.org/wikipedia/commons/thumb/5/55/Contrainte_resistance_3d_proche.svg/503px-Contrainte_resistance_3d_proche.svg.png?20130716110923)
Size of this PNG preview of this SVG file: 503 × 367 pixels. Other resolutions: 320 × 233 pixels | 640 × 467 pixels | 1,024 × 747 pixels | 1,280 × 934 pixels | 2,560 × 1,868 pixels.
Original file (SVG file, nominally 503 × 367 pixels, file size: 482 KB)
File information
Structured data
Captions
Captions
Add a one-line explanation of what this file represents
Summary
editDescriptionContrainte resistance 3d proche.svg |
Français : Méthode contrainte-résistance : densité de probabilité de couples contrainte-résistance (S, R) (surface), et marge nulle m = 0 (ligne, m = R – S). Français : Stress-strength method: probability density of stress-strength pairs (S, R) (surface), and zero margin m = 0 (line, m = R – S). |
Date | |
Source | Own work |
Author | Cdang |
Scilab source
![]() |
This media was created with Scilab, a free open-source software. Here is a listing of the Scilab source used to create this file. |
// Initialisation
clear;
// constantes
n = 1e6; // nombre d'événements
Resp = 250; // espérance de la résistance
Rect = 17; // écart type ""
Sesp = 230; // espérance de la contrainte
Sect = 14 // écart type ""
sigma = 172:320; // ensemble de définition
taille = size(sigma, "c");
sigma3d = 172:5:320
taille3d = size(sigma3d, "c");
sigmaniv = 172:2:320;
tailleniv = size(sigmaniv, "c");
// Fonctions
densiteR = pdfnormal(sigma, Resp, Rect);
densiteS = pdfnormal(sigma, Sesp, Sect);
densiteR3d = pdfnormal(sigma3d, Resp, Rect);
densiteS3d = pdfnormal(sigma3d, Sesp, Sect);
densiteRniv = pdfnormal(sigmaniv, Resp, Rect);
densiteSniv = pdfnormal(sigmaniv, Sesp, Sect);
densiteegalite = densiteR.*densiteS;
for i=1:taille3d
densite3d(i, :) = densiteR3d(i)*densiteS3d;
// x = R, y = S
end
for i=1:tailleniv
densiteniv(i, :) = densiteRniv(i)*densiteSniv;
end
scf(0);
clf;
subplot(2,1,1)
plot(sigma, 100*densiteS, "r");
plot(sigma, 100*densiteR, "b");
xtitle("Méthode contrainte-résistance",...
"Contrainte (MPa)", "Densité de probabilité f (%/MPa)");
legend("Contrainte S", "Résistance R");
subplot(2,1,2)
plot(sigma, 100*densiteegalite, "k");
xtitle("Probabilité d''égalité",...
"Contrainte (MPa)", "Densité de probabilité f (%/MPa)");
scf(1);
clf;
plot3d1(sigma3d, sigma3d, 1e5*densite3d)
h3d = gce();
h3d.thickness = 0;
cmap = 1-0.7*graycolormap(100);
xset("colormap", cmap);
param3d(172*ones(sigma), sigma, 5e3*densiteS);
param3d(sigma, 172*ones(sigma), 5e3*densiteR)
param3d(sigma, sigma, 1e5*densiteegalite, 135, 30)
a = gca();
a.tight_limits="on";
xtitle("Probabilité de rupture", "Résistance R (MPa)", "Contrainte S (MPa)",...
"Densité de probabilité (u.a.)")
R = 269 + 17*rand(n, 1, "normal"); // résistance
S = 214 + 14*rand(n, 1, "normal"); // contrainte
Mbool = S>R; // comparaison des valeurs (matrice de booléens)
moyenne = sum(Mbool)/n; // les "vrai" comptent pour 1 et les "faux" pour 0
disp(string(100*moyenne)+" %") // affichage du résultat
scf(2)
clf;
grayplot(sigmaniv, sigmaniv, 1e5*densiteniv)
xpoly([172, 320], [172, 320]);
xset("colormap", cmap);
xtitle("Densité de probabilité",...
"Résistance R (MPa)", "Contrainte S (MPa)")
Licensing
editI, the copyright holder of this work, hereby publish it under the following license:
![w:en:Creative Commons](https://upload.wikimedia.org/wikipedia/commons/thumb/7/79/CC_some_rights_reserved.svg/90px-CC_some_rights_reserved.svg.png)
![attribution](https://upload.wikimedia.org/wikipedia/commons/thumb/1/11/Cc-by_new_white.svg/24px-Cc-by_new_white.svg.png)
![share alike](https://upload.wikimedia.org/wikipedia/commons/thumb/d/df/Cc-sa_white.svg/24px-Cc-sa_white.svg.png)
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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.
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 11:09, 16 July 2013 | ![]() | 503 × 367 (482 KB) | Cdang (talk | contribs) | the curves were misplaced |
08:25, 16 July 2013 | ![]() | 499 × 367 (459 KB) | Cdang (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
- Usage on fr.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Short title | Méthode contrainte-résistance |
---|---|
Width | 503.06848 |
Height | 367.25046 |