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File:Kt arbre epaule flexion.svg

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Description
Français : Abaque de facteurs de concentration de contrainte (Kt) dans le cas d'un arbre épaulé en flexion.
English: Stress concentration factors (Kt) chart for a shaft with shoulder fillet in bending.
Date
Source Own work, from Pilkey, Walter D., Peterson's Stress Concentration Factors 2nd ed., Wiley & sons (1997), ISBN 97-0-471-53849-3, p. 164
Author Cdang
 
This W3C-unspecified vector image was created with Inkscape .
Calculation
t is the fillet height, t = (D - d)/2
Coefficient for the calculation of Kt
β = t/r 0,1 ≤ β ≤ 2,0 2,0 ≤ β ≤ 20
C1
C2
C3
C4

Scilab source

Scilab source
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;
clc;

// ********************
// Fonctions
// ********************

// Saisie des paramètres géométriques

function [A]=param_geo()
    A(1) = input("grand diamètre : D = ");
    A(2) = input("petit diamètre : d = ");
    A(3) = input("rayon : r = ");
endfunction

// Calcul en flexion

function [Kt] = Kt_flexion(Alpha, Beta)
    drapeau = Beta <= 2;
    select drapeau
    case %t then
        coefs = [0.947, 1.206, -0.131;
            0.022, -3.405, 0.915;
            0.869, 1.777, -0.555;
            -0.810, 0.422, -0.260];
    case %f then
        coefs = [1.232, 0.832, -0.008;
            -3.813, 0.968, -0.260;
            7.423, -4.868, 0.869;
            -3.839, 3.070, -0.600];
    end
    C = coefs(:,1) + coefs(:,2)*sqrt(Beta) + coefs(:,3)*Beta;
    polynome = poly(C', "x", "c") ;
    Kt = horner(polynome, Alpha);
endfunction

// ********************
// Programme principal
// ********************

// Accueil

disp("Facteurs de concentration de contrainte d''un arbre épaulé")
disp("W. D. Pilkey, Peterson''s Stress Concentraiton factors, Wiley & sons (1997)")

// A(1) = D ; A(2) = d ; A(3) = r

A = param_geo();
t = 0.5*(A(1) - A(2)); // hauteur de filet
Beta = t/A(3); // t/r
Alpha = 2*t/A(1);

Kt_fl = Kt_flexion(Alpha, Beta);

if (Beta < 0.1) | (Beta > 20) then
    disp("Torsion : attention, valeur extrapolée");
end
disp('Kt flexion = '+string(Kt_fl));
if (Beta < 0.1) | (Beta > 20) then
    disp("Attention, valeur extrapolée");
end

Licensing edit

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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Date/TimeThumbnailDimensionsUserComment
current08:08, 24 April 2013Thumbnail for version as of 08:08, 24 April 2013577 × 751 (193 KB)Cdang (talk | contribs)User created page with UploadWizard

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