From d36fc3b8f88cc3108ffff6151e376b619b9abb01 Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:40:35 +0530 Subject: Revised list of TBCs --- j_by_j/hrituraj.ipynb | 596 -------------------------------------------------- 1 file changed, 596 deletions(-) delete mode 100644 j_by_j/hrituraj.ipynb (limited to 'j_by_j/hrituraj.ipynb') diff --git a/j_by_j/hrituraj.ipynb b/j_by_j/hrituraj.ipynb deleted file mode 100644 index 3f540415..00000000 --- a/j_by_j/hrituraj.ipynb +++ /dev/null @@ -1,596 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Chapter 4 - Design Against Fluctuating Load" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## exa 4.1 Pg 102" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " for stepped plate under tension, Kt=1.75 for r/d = 0.125 & D/d = 1.25 \n", - "\n", - " for finite width plate under tension with a hole, Kt=2.42 for d0/w = 0.25\n", - "\n", - " Thickness of plate = 6.05 mm or 6 mm\n" - ] - } - ], - "source": [ - "## Given data\n", - "P=6## kN\n", - "#dimensions of plate\n", - "r=5##mm\n", - "d=40##mm\n", - "D=50##mm\n", - "d0=10##mm\n", - "w=40##mm\n", - "Sut=200##MPa\n", - "n=2.5## factor of safety\n", - "\n", - "#Fillet - \n", - "rBYd=r/d#\n", - "DBYd=D/d#\n", - "Kt=1.75## factor\n", - "print ' for stepped plate under tension, Kt=%.2f for r/d = %.3f & D/d = %.2f '%(Kt,rBYd,DBYd)\n", - "\n", - "# Hole -\n", - "d0BYw=d0/w#\n", - "Kt=2.42## factor \n", - "print '\\n for finite width plate under tension with a hole, Kt=%.2f for d0/w = %.2f'%(Kt,d0BYw)\n", - "sigma_max_into_t = Kt*P/(w-d0)##N/mm sq.\n", - "\n", - "#Design stress\n", - "sigma_d = Sut/n## MPa\n", - "#putting sigma_max=sigma_d\n", - "t=sigma_max_into_t/sigma_d*1000## mm\n", - "print '\\n Thickness of plate = %.2f mm or %.f mm'%(t,t)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## exa 4.2 Pg 104" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - " Diameter of axle = 46.5 mm\n" - ] - } - ], - "source": [ - "from math import pi\n", - "# Given Data\n", - "rBYd=0.1#\n", - "DBYd=1.2#\n", - "P=3## kN\n", - "Syt=300##MPa\n", - "n=3## factor of safety\n", - "#dimensions of plate\n", - "l1=400##mm\n", - "l2=300##mm\n", - "l3=400##mm\n", - "\n", - "\n", - "sigma_d=Syt/n## MPa\n", - "Kt=1.65## factor for circular fillet radius member\n", - "Rp=P/2##kN (bearing reaction due to symmetry)\n", - "Mf=Rp*l1## kN.mm (bending moment at fillet)\n", - "Mc=P*(l1+l2+l3)/4## kN.mm (bending moment at centre)\n", - "\n", - "#Fillet\n", - "#sigma_max=Kt*32*Mf/(pi*d**3)\n", - "sigma_max_into_d_cube_1 = Kt*32*Mf*1000/pi\n", - "\n", - "\n", - "#Centre\n", - "#sigma_max=32*Mc/(pi*d**3)\n", - "sigma_max_into_d_cube_2 = Kt*32*Mf*1000/pi\n", - "sigma_max_into_d_cube=max(sigma_max_into_d_cube_1,sigma_max_into_d_cube_2)## (getting max)\n", - "\n", - "#putting sigma_max=sigma_d\n", - "t=(sigma_max_into_d_cube/sigma_d)**(1/3)## mm\n", - "print '\\n Diameter of axle = %.1f mm'%t" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## exa 4.3 Pg 105" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - " Endurance limit = 45.50 MPa\n" - ] - } - ], - "source": [ - "# Given Data\n", - "Sut=440##MPa\n", - "d=25##mm\n", - "R=95/100## reliability\n", - "Kt=1.8## stress concentration factor\n", - "q=0.86## sensitivity factor\n", - "\n", - "Se_dash = 0.5*Sut## MPa\n", - "\n", - "# for machined surface\n", - "ka=0.82## surface finish factor\n", - "kb=0.85## size factor\n", - "kc=0.868## reliability factor\n", - "kd=1## temperature factor\n", - "ke=0.577## load factor\n", - "\n", - "Kf=1+q*(Kt-1)## fatigue strength factor\n", - "kf=1/Kf ## fatigue strength reduction factor\n", - "Se=ka*kb*kc*kd*ke*kf*Se_dash## (MPa) Endurance limit\n", - "print '\\n Endurance limit = %.2f MPa'%Se" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## exa 4.4 Pg 105" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - " Thickness of plate = 18.23 mm or 20 mm\n" - ] - } - ], - "source": [ - "# Given Data\n", - "Sut=440##MPa\n", - "w=60##mm\n", - "d=12## mm\n", - "P=20## kN\n", - "q=0.8## sensitivity factor\n", - "R=90/100## reliability\n", - "n=2## factor of safety\n", - "\n", - "Kt=2.52## stress concentration factor\n", - "Se_dash = 0.5*Sut## MPa\n", - "# for hot rollednormalized condition\n", - "ka=0.67## surface finish factor\n", - "kb=0.85## size factor (assuming t<50 mm)\n", - "kc=0.897## reliability factor\n", - "kd=1## temperature factor\n", - "ke=0.9## load factor\n", - "dBYw=d/w# #(for circular hole)\n", - "\n", - "Kf=1+q*(Kt-1)## fatigue strength factor\n", - "kf=1/Kf ## fatigue strength reduction factor\n", - "Se=ka*kb*kc*kd*ke*kf*Se_dash## (MPa) Endurance limit\n", - "sigma_d=Se/n## MPa (design stress)\n", - "# sigma_max=P/(w-d)/t\n", - "sigma_max_into_t = P*1000/(w-d)#\n", - "# putting sigma_max=sigma_d\n", - "t=sigma_max_into_t/sigma_d## mm\n", - "print '\\n Thickness of plate = %.2f mm or 20 mm'%t" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## exa 4.5 Pg 107" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - " Endurance of specimen = 325.00 MPa\n" - ] - } - ], - "source": [ - "from math import pi, log10\n", - "# Given Data\n", - "Sut=650##MPa\n", - "N=10**5## cycles\n", - "Se_dash = 0.5*Sut## MPa\n", - "of=5## unit\n", - "ob=6##unit\n", - "bf=ob-of## unit\n", - "be=3##unit\n", - "\n", - "# calculating endurance section wise\n", - "OE=log10(Se_dash)#\n", - "OA=log10(0.9*Sut)#\n", - "AE=OA-OE#\n", - "#log10_Sf=OD=OE+ED=OE+FC\n", - "log10_Sf=OE+(bf/be)*AE#\n", - "Sf=10**log10_Sf# # (MPa) Endurance\n", - "print '\\n Endurance of specimen = %.2f MPa'%Sf" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## exa 4.6 Pg 108" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - " diameter of beam 20 mm\n" - ] - } - ], - "source": [ - "from __future__ import division\n", - "from math import pi, log10\n", - "# Given Data\n", - "Sut=540##MPa\n", - "N=10**4## cycles\n", - "q=0.85## sensitivity factor\n", - "R=90/100## reliability\n", - "P=1500## N\n", - "l=160## mm\n", - "\n", - "Se_dash = 0.5*Sut## MPa\n", - "# for cold drawn steel\n", - "ka=0.79## surface finish factor\n", - "kb=0.85## size factor (assuming t<50 mm)\n", - "kc=0.897## reliability factor\n", - "kd=1## temperature factor\n", - "ke=1## load factor\n", - "\n", - "Kt=1.33## under bending\n", - "\n", - "Kf=1+q*(Kt-1)## fatigue strength factor\n", - "kf=1/Kf ## fatigue strength reduction factor\n", - "Se=ka*kb*kc*kd*ke*kf*Se_dash## MPa( Endurance limit)\n", - "\n", - "of=4## unit\n", - "ob=6##unit\n", - "bf=ob-of## unit\n", - "be=3##unit\n", - "\n", - "# calculating endurance section wise\n", - "OE=log10(Se)#\n", - "OA=log10(0.9*Sut)#\n", - "AE=OA-OE#\n", - "#log10_Sf=OD=OE+ED=OE+FC\n", - "log10_Sf=OE+(bf/be)*AE#\n", - "Sf=10**log10_Sf# # (MPa) Endurance\n", - "\n", - "MB=P*l## N.mm\n", - "# 32*MB/pi/d**3 = Sf\n", - "d=(32*MB/pi/Sf)**(1/3)\n", - "print '\\n diameter of beam %.f mm'%d" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## exa 4.7 Pg 110" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - " diameter d at fillet cross section = 16 mm\n" - ] - } - ], - "source": [ - "from __future__ import division\n", - "from math import pi, log10, atan\n", - "# Given Data\n", - "Sut=600##MPa\n", - "Syt=380##MPa\n", - "q=0.9## sensitivity factor\n", - "R=90/100## reliability\n", - "n=2## factor of safety\n", - "Pmin=-100## N\n", - "Pmax=200## N\n", - "l=150## mm\n", - "\n", - "Se_dash = 0.5*Sut## MPa\n", - "# for cold drawn steel\n", - "ka=0.76## surface finish factor\n", - "kb=0.85## size factor (assuming t<50 mm)\n", - "kc=0.897## reliability factor\n", - "kd=1## temperature factor\n", - "ke=1## load factor\n", - "\n", - "Kt=1.4## under bending\n", - "\n", - "Kf=1+q*(Kt-1)## fatigue strength factor\n", - "kf=1/Kf ## fatigue strength reduction factor\n", - "Se=ka*kb*kc*kd*ke*kf*Se_dash## MPa( Endurance limit)\n", - "Mmax=Pmax*l## N.mm\n", - "Mmin=Pmin*l## N.mm\n", - "Mm=(Mmax+Mmin)/2## N.mm\n", - "Ma=(Mmax-Mmin)/2## N.mm\n", - "theta=atan(Ma/Mm)*pi/180## degree\n", - "\n", - "#equation of Goodman - sigma_m/Sut+sigma_a/Se=1\n", - "#here sigma_a/sigma_m=3\n", - "sigma_m=1/(1/Sut+3/Se)##MPa\n", - "sigma_a=3*sigma_m## MPa\n", - "\n", - "sigma_da=sigma_a/n## MPa\n", - "#sigma_da=32*Ma/pi/d**3\n", - "d=(32*Ma/pi/sigma_da)**(1/3)## mm \n", - "print '\\n diameter d at fillet cross section = %.f mm'%d" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## exa 4.8 Pg 112" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - " diameter of shaft = 34 mm\n" - ] - } - ], - "source": [ - "from __future__ import division\n", - "from math import pi, log10, atan,tan\n", - "# Given Data\n", - "Sut=500##MPa\n", - "Syt=300##MPa\n", - "R=90/100## reliability\n", - "n=2## factor of safety\n", - "Tmin=-200## N.m\n", - "Tmax=500## N.m\n", - "\n", - "Se_dash = 0.5*Sut## MPa\n", - "# for cold drawn steel\n", - "ka=0.80## surface finish factor\n", - "kb=0.85## size factor (assuming t<50 mm)\n", - "kc=0.897## reliability factor\n", - "kd=1## temperature factor\n", - "ke=0.577## load factor\n", - "\n", - "Ses=ka*kb*kc*kd*ke*Se_dash## MPa( Endurance limit)\n", - "Sys=ke*Syt## MPa\n", - "Tm=(Tmax+Tmin)/2## N.m\n", - "Ta=(Tmax-Tmin)/2## N.m\n", - "theta=atan(Ta/Tm)*pi/180## degree\n", - "Sms=Ses/tan(theta*180/pi)##MPa\n", - "Sas=Ses##MPa\n", - "tau_da=Sas/n##MPa\n", - "#tua_da=16*Ta/pi/d**3\n", - "d=(16*Ta*1000/pi/tau_da)**(1/3)##mm\n", - "print '\\n diameter of shaft = %.f mm'%d" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## exa 4.9 Pg 113" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - " life of the spring, N = 215630 cycles\n" - ] - } - ], - "source": [ - "from __future__ import division\n", - "from math import pi,log10\n", - "# Given Data\n", - "Sut=860##MPa\n", - "Syt=690##MPa\n", - "Pmin=60## N\n", - "Pmax=120## N\n", - "R=50/100## reliability\n", - "l=500##mm\n", - "d=10##mm\n", - "Se_dash = 0.5*Sut## MPa\n", - "# for machines surface\n", - "ka=0.70## surface finish factor\n", - "kb=0.85## size factor (assuming t<50 mm)\n", - "kc=1## reliability factor\n", - "kd=1## temperature factor\n", - "ke=1## load factor\n", - "\n", - "Se=ka*kb*kc*kd*ke*Se_dash## MPa( Endurance limit)\n", - "Mmax=Pmax*l## N.mm\n", - "Mmin=Pmin*l## N.mm\n", - "Mm=(Mmax+Mmin)/2## N.mm\n", - "Ma=(Mmax-Mmin)/2## N.mm\n", - "Sm=32*Mm/pi/d**3##MPa\n", - "sigma_m=Sm##MPa\n", - "Sa=32*Ma/pi/d**3##MPa\n", - "sigma_a=Sa##MPa\n", - "Sf=Sa*Sut/(Sut-Sm)##MPa\n", - "\n", - "#calculating section\n", - "OB=6##unit ref. o at 3\n", - "BE=OB-3##unit\n", - "OC=Sf## MPa\n", - "AE=log10(0.9*Sut)-log10(Se)##MPa\n", - "AC=log10(0.9*Sut)-log10(Sf)##MPa\n", - "CD=BE*AC/AE##\n", - "#log10(N)=3+CD\n", - "N=10**(3+CD)## cycle\n", - "print '\\n life of the spring, N = %.f cycles'%N\n", - "#Note : answer in the textbook is wrong." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## exa 4.10 Pg 116" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - " factor of safety, n = 5.04\n" - ] - } - ], - "source": [ - "from __future__ import division\n", - "from math import pi, log10, sqrt,atan,tan\n", - "# Given Data\n", - "Sut=600##MPa\n", - "Se=280##MPa\n", - "sigma_x_min=50## MPa\n", - "sigma_x_max=100## MPa\n", - "sigma_y_min=20## MPa\n", - "sigma_y_max=70## MPa\n", - "\n", - "sigma_xm=(sigma_x_max+sigma_x_min)/2## MPa\n", - "sigma_xa=(sigma_x_max-sigma_x_min)/2## MPa\n", - "sigma_ym=(sigma_y_max+sigma_y_min)/2## MPa\n", - "sigma_ya=(sigma_y_max-sigma_y_min)/2## MPa\n", - "\n", - "# distortion energy theory - \n", - "sigma_m=sqrt(sigma_xm**2+sigma_ym**2-sigma_xm*sigma_ym)## MPa\n", - "sigma_a=sqrt(sigma_xa**2+sigma_ya**2-sigma_xa*sigma_ya)## MPa\n", - "theta=atan(sigma_a/sigma_m)## radian\n", - "# Sm/Sut+Sa/Se=1 where Sa=Sm*tan(theta)\n", - "Sm=1/(1/Sut+tan(theta)/Se)## MPa\n", - "Sa=tan(theta)*Sm## MPa\n", - "n=Sa/sigma_a## factor of safety\n", - "\n", - "print '\\n factor of safety, n = %.2f'%n" - ] - } - ], - "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": "2.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} -- cgit