Revised list of TBCs

1 files changed, 461 insertions, 0 deletions

diff --git a/backup/Machine_Design_by_U.C._Jindal_version_backup/Ch27.ipynb b/backup/Machine_Design_by_U.C._Jindal_version_backup/Ch27.ipynb
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@@ -0,0 +1,461 @@
+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:93bf919486a82ec8604e11d18207bffbdc29a6c50aa4e9b5a65c5c915d6bd456"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Ch:27 Straight bevel gears"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "exa 27-1 - Page 712"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from math import sqrt, pi, atan, sin, tan, cos\n",
+      "from __future__ import division\n",
+      "P=8000#\n",
+      "N1=400#\n",
+      "N2=200#\n",
+      "i=N1/N2# #i=Zg/Zp=dg/dp\n",
+      "gamma1=atan(1/i)#\n",
+      "gamma2=90-gamma1#\n",
+      "rp=200#\n",
+      "R=rp/sin(gamma1)#\n",
+      "b=0.2*R#\n",
+      "rm1=rp-(b*sin(gamma1)/2)#\n",
+      "Pt=P*1000*60/(2*pi*N1*rm1)#\n",
+      "alpha=20*pi/180#\n",
+      "Ps=Pt*tan(alpha)#\n",
+      "Pr=Ps*cos(gamma1)#\n",
+      "Pa=Ps*sin(gamma1)#\n",
+      "print \"Pt is %0.0f N  \"%(Pt)#\n",
+      "print \"\\nPs is %0.2f N  \"%(Ps)#\n",
+      "print \"\\nPr is %0.2f N  \"%(Pr)#\n",
+      "print \"\\nPa  is %0.2f N  \"%(Pa)#\n",
+      "\n",
+      "#The difference in the values is due to rounding-off of the values."
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Pt is 1061 N  \n",
+        "\n",
+        "Ps is 386.18 N  \n",
+        "\n",
+        "Pr is 345.41 N  \n",
+        "\n",
+        "Pa  is 172.71 N  \n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "exa 27-2 - Page 712"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "alpha=20*pi/180#\n",
+      "Zp=20#\n",
+      "Zg=36#\n",
+      "m=4#\n",
+      "sigut=600#\n",
+      "b=25#\n",
+      "dp=m*Zp#\n",
+      "rp=dp/2#\n",
+      "dg=m*Zg#\n",
+      "rg=dg/2#\n",
+      "gamma1=atan(rp/rg)#\n",
+      "Zpv=Zp/cos(gamma1)#\n",
+      "Y=0.33+0.003*0.88#\n",
+      "sigb=sigut/3#\n",
+      "Sb=m*b*sigb*Y#\n",
+      "print \"Zpv is %0.2f   \"%(Zpv)#\n",
+      "print \"\\nSb is %0.0f N  \"%(Sb)#"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Zpv is 22.88   \n",
+        "\n",
+        "Sb is 6653 N  \n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "exa 27-3 - Page 712"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from math import asin\n",
+      "m=6#\n",
+      "Zp=30#\n",
+      "Zg=45#\n",
+      "dp=m*Zp#\n",
+      "rp=dp/2#\n",
+      "dg=m*Zg#\n",
+      "rg=dg/2#\n",
+      "R=sqrt(rg**2+rp**2)#\n",
+      "gamma1=180/pi*asin(rp/R)#\n",
+      "gamma2=(90-gamma1)#\n",
+      "ha=6#\n",
+      "hf=1.25*ha#\n",
+      "phi=180/pi*atan(ha/R)#\n",
+      "beta=180/pi*atan(hf/R)#\n",
+      "#let Face Cone Angle be FCA\n",
+      "FCA=(gamma1+phi)#\n",
+      "#Let Root cone angle be RCA\n",
+      "RCA=(gamma1-beta)#\n",
+      "print \"gamma1 is %0.1f deg  \"%(gamma1)#\n",
+      "print \"\\ngamma2 is %0.1f deg  \"%(gamma2)#\n",
+      "print \"\\nR  is %0.2f mm  \"%(R)#\n",
+      "print \"\\nFCA  is %0.3f deg  \"%(FCA)#\n",
+      "print \"\\nRCA  is %0.2f deg  \"%(RCA)#"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "gamma1 is 33.7 deg  \n",
+        "\n",
+        "gamma2 is 56.3 deg  \n",
+        "\n",
+        "R  is 162.25 mm  \n",
+        "\n",
+        "FCA  is 35.808 deg  \n",
+        "\n",
+        "RCA  is 31.04 deg  \n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "exa 27-4 - Page 713"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "alpha=20*pi/180#\n",
+      "Zp=25#\n",
+      "Zg=40#\n",
+      "m=5#\n",
+      "b=30#\n",
+      "BHN=400#\n",
+      "dp=m*Zp#\n",
+      "rp=dp/2#\n",
+      "dg=m*Zg#\n",
+      "rg=dg/2#\n",
+      "gamma1=atan(rp/rg)#\n",
+      "gamma1=180/pi*gamma1#\n",
+      "gamma2=(90-gamma1)#\n",
+      "a=cos(pi/180*gamma2)#\n",
+      "Zp1=Zp/cos(gamma1)#\n",
+      "Zg1=Zg/a#\n",
+      "Q=(2*Zg1)/(Zp1+Zg1)#\n",
+      "K=0.16*(BHN/100)**2#\n",
+      "Sw=0.75*b*dp*Q*K/cos(pi/180*gamma1)#\n",
+      "print \"Sw is %0.1f N  \"%(Sw)#\n",
+      "  \n",
+      "  #The difference in the value of Sw is due to rounding-off of the value of Q."
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Sw is 12142.4 N  \n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "exa 27-5 - Page 713"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "Zp=20#\n",
+      "Zg=36#\n",
+      "m=4#\n",
+      "b=25#\n",
+      "BHN=360#\n",
+      "Np=750#\n",
+      "FOS=1.75#\n",
+      "dp=m*Zp#\n",
+      "rp=dp/2#\n",
+      "dg=m*Zg#\n",
+      "rg=dg/2#\n",
+      "gamma1=atan(dp/dg)#\n",
+      "gamma1=180/pi*gamma1#\n",
+      "gamma2=(90-gamma1)#\n",
+      "a=cos(pi/180*gamma2)#\n",
+      "Zp1=Zp/cos(pi/180*gamma1)#\n",
+      "Zg1=Zg/a#\n",
+      "Q=(2*Zg1)/(Zp1+Zg1)#\n",
+      "K=0.16*(BHN/100)**2#\n",
+      "R=sqrt(rp**2+rg**2)#\n",
+      "Y=0.33+0.003*0.86#\n",
+      "sigut=600#\n",
+      "sigb=sigut/3#\n",
+      "Sb=m*b*Y*sigb*(1-(b/R))#\n",
+      "Sw=0.75*b*dp*Q*K/cos(pi/180*gamma1)#\n",
+      "print \"Sb is %0.0f N   \"%(Sb)#\n",
+      "print \"\\nSw is %0.1f N  \"%(Sw)#\n",
+      "\n",
+      "#The answwer to Sb is calculated incorrectly in the book."
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Sb is 4633 N   \n",
+        "\n",
+        "Sw is 5438.0 N  \n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "exa 27-6 - Page 713"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "Dp=300#\n",
+      "rp=150#\n",
+      "#Let the angular velocity ratio be i\n",
+      "i=2/3#\n",
+      "rg=rp/i#\n",
+      "Dg=2*rg#\n",
+      "R=sqrt(rp**2+rg**2)#\n",
+      "P=15000#\n",
+      "N=300#\n",
+      "Cs=1.5#\n",
+      "FOS=2#\n",
+      "sigb=100#\n",
+      "gamma1=atan(Dp/Dg)#\n",
+      "gamma1=180/pi*gamma1#\n",
+      "gamma2=(90-gamma1)#\n",
+      "v=2*pi*N*rp/(60*1000)#\n",
+      "Cv=5.6/(5.6+sqrt(v))#\n",
+      "Pt=P/v#\n",
+      "Peff=Pt*Cs/Cv#\n",
+      "Sb=Peff*FOS#\n",
+      "b=R/4#\n",
+      "#let x=m*Y\n",
+      "x=Sb/(b*sigb*(1-(b/R)))#\n",
+      "m=6#\n",
+      "print \"m*Y is %0.3f mm**2  \"%(x)#\n",
+      "print \"\\nm is %0.0f mm  \"%(m)#"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "m*Y is 2.613 mm**2  \n",
+        "\n",
+        "m is 6 mm  \n"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "exa 27-7 - Page 714"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "Zp=24#\n",
+      "Zg=36#\n",
+      "N=1400#\n",
+      "P=11600#\n",
+      "Cs=1.4#\n",
+      "FOS=2#\n",
+      "sigut=600#\n",
+      "sigb=sigut/3#\n",
+      "gamma1=atan(Zp/Zg)#\n",
+      "gamma1=180/pi*gamma1#\n",
+      "gamma2=(90-gamma1)#\n",
+      "a=cos(pi/180*gamma2)#\n",
+      "Zp1=Zp/cos(pi/180*gamma1)#\n",
+      "Zg1=Zg/a#\n",
+      "Q=(2*Zg1)/(Zp1+Zg1)#\n",
+      "v=1.76#\n",
+      "Pt=P/v#\n",
+      "Cv=5.6/(5.6+sqrt(v))#\n",
+      "Peff=Pt*Cs/Cv#\n",
+      "x=Peff*FOS#\n",
+      "Y=0.352+(0.003*0.85)#\n",
+      "y=2*sigb*Y*(1-(6/21.63))#\n",
+      "m=sqrt(x/y)#\n",
+      "# Design is safe for m=4\n",
+      "m=4#\n",
+      "b=6*m#\n",
+      "dp=24*m#\n",
+      "rp=48#\n",
+      "dp=dp/cos(pi/180*gamma1)#\n",
+      "v=2*pi*N*rp/(60*1000)#\n",
+      "Cv=5.6/(5.6+sqrt(v))#\n",
+      "Sb=y*m**2#\n",
+      "#Sw=Sb#\n",
+      "K=Sb/(0.75*b*dp*Q)#\n",
+      "BHN=sqrt(K/0.16)*100#\n",
+      "print \"m is %0.0f mm  \"%(m)#\n",
+      "print \"\\nBHN is %0.0f   \"%(BHN)#\n",
+      "  \n",
+      "  #The answwer to BHN is calculated incorrectly in the book."
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "m is 4 mm  \n",
+        "\n",
+        "BHN is 189   \n"
+       ]
+      }
+     ],
+     "prompt_number": 7
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "exa 27-8 - Page 714"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "Zp=40#\n",
+      "Zg=60#\n",
+      "P=3500#\n",
+      "N=600#\n",
+      "Cs=1.5#\n",
+      "sigb=55#\n",
+      "gamma1=atan(Zp/Zg)#\n",
+      "gamma1=180/pi*gamma1#\n",
+      "gamma2=(90-gamma1)#\n",
+      "a=cos(pi/180*gamma2)#\n",
+      "Zp1=Zp/cos(pi/180*gamma1)#\n",
+      "Zg1=Zg/a#\n",
+      "Q=(2*Zg1)/(Zp1+Zg1)#\n",
+      "# Design is safe for m=6\n",
+      "m=6#\n",
+      "b=6*m#\n",
+      "dp=Zp*m#\n",
+      "rp=dp/2#\n",
+      "dg=Zg*m#\n",
+      "rg=dg/2#\n",
+      "R=sqrt(rp**2+rg**2)#\n",
+      "print \"m is %0.0f mm  \"%(m)#\n",
+      "print \"\\nb is %0.0f mm  \"%(b)#\n",
+      "print \"\\nR is %0.0f mm  \"%(R)#"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "m is 6 mm  \n",
+        "\n",
+        "b is 36 mm  \n",
+        "\n",
+        "R is 216 mm  \n"
+       ]
+      }
+     ],
+     "prompt_number": 8
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
\ No newline at end of file