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| author | hardythe1 | 2015-06-03 15:27:17 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-06-03 15:27:17 +0530 |
| commit | df60071cf1d1c18822d34f943ab8f412a8946b69 (patch) | |
| tree | ab059cf19bad4a1233a464ccf5d72cf8b3fb323c /Advanced_Strength_and_Applied_Elasticity/Chapter3.ipynb | |
| parent | fba055ce5aa0955e22bac2413c33493b10ae6532 (diff) | |
| download | Python-Textbook-Companions-df60071cf1d1c18822d34f943ab8f412a8946b69.tar.gz Python-Textbook-Companions-df60071cf1d1c18822d34f943ab8f412a8946b69.tar.bz2 Python-Textbook-Companions-df60071cf1d1c18822d34f943ab8f412a8946b69.zip | |
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Diffstat (limited to 'Advanced_Strength_and_Applied_Elasticity/Chapter3.ipynb')
| -rwxr-xr-x | Advanced_Strength_and_Applied_Elasticity/Chapter3.ipynb | 86 |
1 files changed, 86 insertions, 0 deletions
diff --git a/Advanced_Strength_and_Applied_Elasticity/Chapter3.ipynb b/Advanced_Strength_and_Applied_Elasticity/Chapter3.ipynb new file mode 100755 index 00000000..022cbc70 --- /dev/null +++ b/Advanced_Strength_and_Applied_Elasticity/Chapter3.ipynb @@ -0,0 +1,86 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:3244e03679979a09b0b5fff869e60076c9b12f1d282baaf63c6b3b44f5166d94"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter3-Two-Dimensional problems in elasticity"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex5-pg83"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate alpha and semiaxes of elliptical contaact area and max contact pressure\n",
+ "E=210. ##GPa\n",
+ "v=0.3\n",
+ "r1=0.4 ##m radius\n",
+ "r2=0.3 ##m cross radius\n",
+ "P=90. ##kN compression load\n",
+ "\n",
+ "\n",
+ "m=4./((1./r1)+(1./r2))\n",
+ "print'%s %.2f %s'%(\"m\",m,\"\")\n",
+ "A=(1/2.)*((1./r1)+(1./r2))\n",
+ "print'%s %.2f %s'%(\"A\",A,\"\")\n",
+ "B=(1/2.)*((1./r1)-(1./r2))\n",
+ "print'%s %.2f %s'%(\"B\",B,\"\")\n",
+ "coss=(((1./r1)-(1./r2))/((1./r1)+(1./r2)))\n",
+ "print'%s %.2f %s'%(\"cos aplha is= \",coss,\"\")\n",
+ "n=(4.*E*10**9.)/(3.*(1.-v**2.))\n",
+ "print'%s %.3e %s'%(\"n is \",n,\"\")\n",
+ "s=math.acos(coss)*57.3\n",
+ "print'%s %.2f %s'%(\" s is alpha value = \",s,\"\") ## ans is 81.79degree but here since cosa is in negative we get ans as 98.21\n",
+ "ca=1.1040 ## from the interpolating table\n",
+ "cb=0.9112 ## from the interpolating table\n",
+ "a=ca*(90000.*m/n)**(0.33)\n",
+ "print'%s %.4f %s'%(\"semiaxes of the elliptical contact area in meter is= \",a,\"\")\n",
+ "b=cb*(90000*m/n)**(0.33)\n",
+ "print'%s %.4f %s'%(\"semiaxes of the elliptical contact area in meter is= \",b,\"\")\n",
+ "sigmac=1.5*(90000./(math.pi*a*b))\n",
+ "print'%s %.3e %s'%(\"max contact pressure in Pa is= \",sigmac,\"\") ## text book ans is wrong\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "m 0.69 \n",
+ "A 2.92 \n",
+ "B -0.42 \n",
+ "cos aplha is= -0.14 \n",
+ "n is 3.077e+11 \n",
+ " s is alpha value = 98.22 \n",
+ "semiaxes of the elliptical contact area in meter is= 0.0068 \n",
+ "semiaxes of the elliptical contact area in meter is= 0.0056 \n",
+ "max contact pressure in Pa is= 1.125e+09 \n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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