From 6279fa19ac6e2a4087df2e6fe985430ecc2c2d5d Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:53:46 +0530 Subject: Removed duplicates --- .../Chapter_12.ipynb | 346 --------------------- 1 file changed, 346 deletions(-) delete mode 100755 backup/Mechanical_Metallurgy_version_backup/Chapter_12.ipynb (limited to 'backup/Mechanical_Metallurgy_version_backup/Chapter_12.ipynb') diff --git a/backup/Mechanical_Metallurgy_version_backup/Chapter_12.ipynb b/backup/Mechanical_Metallurgy_version_backup/Chapter_12.ipynb deleted file mode 100755 index ac9b05ec..00000000 --- a/backup/Mechanical_Metallurgy_version_backup/Chapter_12.ipynb +++ /dev/null @@ -1,346 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Chapter 12: Fatigue of Metals" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "### Example 12.1, Mean Stress, Page No. 387" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Bar Diameter = 1.45673 in\n" - ] - } - ], - "source": [ - "from math import pi\n", - "from math import sqrt\n", - "\n", - "#variable declaration\n", - "sigma_u=158; # in ksi\n", - "sigma0=147; # in ksi\n", - "sigma_e=75; # in ksi\n", - "l_max=75; # in ksi\n", - "l_min=-25; # in ksi\n", - "sf=2.5;\n", - "\n", - "#calculation\n", - "sigma_m=(l_max+l_min)/2;\n", - "sigma_a=(l_max-l_min)/2;\n", - "sigma_e=sigma_e/sf;\n", - "A=sigma_a/sigma_e+sigma_m/sigma_u;\n", - "D=sqrt(4*A/pi);\n", - "\n", - "#result\n", - "print('\\nBar Diameter = %g in')%(D);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Example 12.2, Low Cycle Fatigue, Page No. 391" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "d_e_e = 0.000681818\n", - "d_e_p = 0.000608182\n", - "Number of Cycles = 48884 cycles\n" - ] - } - ], - "source": [ - "\n", - "\n", - "#variable declaration\n", - "sigma_b=75.0;\n", - "e_b=0.000645;\n", - "e_f=0.3;\n", - "E=22*10**4;\n", - "c=-0.6;\n", - "\n", - "#calculation\n", - "d_e_e=float(2*sigma_b/E);\n", - "d_e_p=2*e_b-d_e_e;\n", - "N=((d_e_p/(2*e_f))**(1/c))/2;\n", - "\n", - "#result\n", - "print('\\nd_e_e = %g\\nd_e_p = %g\\nNumber of Cycles = %g cycles')%(d_e_e,d_e_p,N);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Example 12.3, Fatigue Crack Proportion, Page No. 401" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fatigue Cycles = 261417 cycles\n" - ] - } - ], - "source": [ - "from math import pi\n", - "\n", - "#variable declaration\n", - "ai=0.5;\n", - "ai=ai*10**-3; #conversion to m\n", - "sigma_max=180.0;\n", - "Kc=100.0;\n", - "alpha=1.12;\n", - "p=3.0;\n", - "A=6.9*10**-12;\n", - "\n", - "#calculation\n", - "af=(Kc/(sigma_max*alpha))**2/pi;\n", - "Nf=float(af**(1-(p/2))-ai**(1-(p/2)))/float((1-p/2)*A*(sigma_max**3)*(pi**(p/2))*(alpha**p));\n", - "\n", - "#result\n", - "print('Fatigue Cycles = %g cycles')%(Nf);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Example 12.4, Stress Concentration of Fatigue, Page No. 404" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Mean Stress = 25464.8 psi\n", - "Fluctuating Bending Stress = 33658.4 psi\n", - "Effective Maximum Stress = 59123.2 psi\n", - "Effective Minimum Stress = 8193.63 psi\n", - "sigma_a = 39834.1 psi\n", - "\n", - "\n", - "Note: Calculation Errors in the book\n" - ] - } - ], - "source": [ - "\n", - "\n", - "from math import sqrt\n", - "from math import pi\n", - "\n", - "#variable declaration\n", - "rho=0.0004;\n", - "S_u=190000;\n", - "M=200;\n", - "Pm=5000;\n", - "D=0.5;\n", - "dh=0.05;\n", - "r=dh/2;\n", - "Kt=2.2;\n", - "\n", - "#calculation\n", - "Kf=1+(Kt-1)/(1+sqrt(rho/r));\n", - "q=(Kf-1)/(Kt-1);\n", - "A=pi/4*D**2;\n", - "sigma_m=Pm/A;\n", - "I=pi/64*D**4;\n", - "sigma_a=Kf*((M*D)/(2*I));\n", - "sigma_max=sigma_a+sigma_m;\n", - "sigma_min=sigma_a-sigma_m;\n", - "sigma_e=S_u/2;\n", - "sigma_a1=sigma_e/Kf*(1-sigma_m/S_u);\n", - "\n", - "#result\n", - "print('\\nMean Stress = %g psi\\nFluctuating Bending Stress = %g psi\\nEffective Maximum Stress = %g psi\\nEffective Minimum Stress = %g psi\\nsigma_a = %g psi\\n\\n\\nNote: Calculation Errors in the book')%(sigma_m,sigma_a,sigma_max,sigma_min,sigma_a1);\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Example 12.5, Infinite Life Design, Page No. 422" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Fatigue Limit = 14245.3 psi\n" - ] - } - ], - "source": [ - "\n", - "#variable declaration\n", - "Kt=1.68;\n", - "q=0.9;\n", - "sigma_ed=42000;\n", - "Cs=0.9;\n", - "Cf=0.75;\n", - "Cz=0.81;\n", - "\n", - "#calculation\n", - "Kf=q*(Kt-1)+1;\n", - "sigma_e=sigma_ed*Cs*Cf*Cz;\n", - "sigma_en=sigma_e/Kf;\n", - "\n", - "#result\n", - "print('\\nFatigue Limit = %g psi')%(sigma_en);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Example 12.6, Local Strain method, Page No. 424" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false, - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Number of cycles = 14785.5 cycles\n", - "Fatigue damage per cycle = 6.7634e-05\n", - "Number of cycles with correction of mean stress= 129289 cycles\n", - "Fatigue damage per cycle with correction of mean stress= 7.7346e-06 damage per year\n", - "Shaft will fail in 2.2446 days\n" - ] - } - ], - "source": [ - "\n", - "from scipy.optimize import fsolve\n", - "\n", - "#variable declaration\n", - "K=189;\n", - "n=0.12;\n", - "ef=1.06;\n", - "sigma_f=190;\n", - "b=-0.08;\n", - "c=-0.66;\n", - "E=30000000.0;\n", - "E=E/1000; #conversion to ksi\n", - "s=200.0;\n", - "sigma_m=167.0;\n", - "sigma_a=17.0;\n", - "se=s**2/E;\n", - "\n", - "#calculation\n", - "def f(ds):\n", - " return (ds**2)/(2*E)+(ds**((1+n)/n))/((2*K)**(1/n))-se/2;\n", - "ds=fsolve(f,1)\n", - "de=se/ds;\n", - "def f1(N2):\n", - " return (N2**(b))*(sigma_f/E)+ef*(N2**(c))-de/2;\n", - "N2=fsolve(f1,1);\n", - "N_1=N2/2;\n", - "de_e2=sigma_a/E;\n", - "def f2(N2):\n", - " return (N2**b)*((sigma_f-sigma_m)/E)+ef*(N2**c)-de_e2;\n", - "N2=fsolve(f2,1);\n", - "N_2=N2/2;\n", - "C_pd=2*60*60*8;\n", - "f=N_2/C_pd;\n", - "\n", - "#result\n", - "print('\\nNumber of cycles = %g cycles\\nFatigue damage per cycle = %g\\nNumber of cycles with correction of mean stress= %g cycles\\nFatigue damage per cycle with correction of mean stress= %g damage per year\\nShaft will fail in %g days')%(N_1,1/N_1,N_2,1/N_2,f);\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 2", - "language": "python", - "name": "python2" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 2 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} -- cgit