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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:56bbd90f35decd7f62fabe45fb918c0e397bbdcedfeeda130ab611b764281c1a"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Ch:5 Introduction to pressure vessels"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "exa 5-1 - Page 138"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "p=2#\n",
+ "Rm=220#\n",
+ "#tensile hoop or circumferential stress= sigt\n",
+ "sigr=-2#\n",
+ "#sigt=(p*Rm)/t#\n",
+ "Sa=230/2#\n",
+ "#t1=thickness according to maximum principal stress theory\n",
+ "#t2=thickness according to maximum shear stress theory\n",
+ "t1=(p*Rm)/Sa#\n",
+ "t2=(p*Rm)/(Sa+sigr)#\n",
+ "print \"t1 is %0.2f mm \"%(t1)#\n",
+ "print \"\\nt2 is %0.3f mm \"%(t2)#"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "t1 is 3.00 mm \n",
+ "\n",
+ "t2 is 3.000 mm \n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "exa 5-2 - Page 139"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from math import sqrt\n",
+ "from __future__ import division\n",
+ "#Elastic limit=sige\n",
+ "sige=310#\n",
+ "#inside diameter=di\n",
+ "di=300#\n",
+ "p=1.8#\n",
+ "FOS=2#\n",
+ "#design stress=sigd#\n",
+ "sigd=sige/2#\n",
+ "c=0.162#\n",
+ "d=380#\n",
+ "#cover plate thickness=t#\n",
+ "t=d*sqrt(c*p/sigd)#\n",
+ "t=17#\n",
+ "M=di*p*t/4#\n",
+ "\n",
+ "z=(1/6)*1*t**2#\n",
+ "#bending stress=sigb#\n",
+ "sigb=M/z#\n",
+ "print \"t is %0.1fmm \"%(t)#\n",
+ "print \"\\nM is %0.1fmm \"%(M)#\n",
+ "print \"\\nsigb is %0.1fmm \"%(sigb)#\n",
+ "if (sigb<=sigd):\n",
+ " print 'sigb is below allowable sigd.'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "t is 17.0mm \n",
+ "\n",
+ "M is 2295.0mm \n",
+ "\n",
+ "sigb is 47.6mm \n",
+ "sigb is below allowable sigd.\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "exa 5-3 - Page 140"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "sige=220#\n",
+ "v=0.29#\n",
+ "Ri=175#\n",
+ "FOS=3#\n",
+ "Sa=sige/3#\n",
+ "p=10#\n",
+ "#t1=thickness according to maximum principal stress theory\n",
+ "#t2=thickness according to maximum shear stress theory\n",
+ "x=Sa+(p*(1-(2*v)))#\n",
+ "y=Sa-(p*(1+v))#\n",
+ "t1=(sqrt(x/y)-1)*Ri#\n",
+ "t1=24#\n",
+ "#t1=((sqrt((Sa+(p*(1-(2*v)))))/(Sa-(p*(1+v))))-1)*Ri#\n",
+ "t2=Ri*((sqrt(Sa/(Sa-(2*p))))-1)#\n",
+ "# printing data in scilab o/p window\n",
+ "print \"t1 is %0.1fmm \"%(t1)#\n",
+ "print \"\\nt2 is %0.3fmm \"%(t2)#\n",
+ "#The answer to t2 is not calculated in the book."
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "t1 is 24.0mm \n",
+ "\n",
+ "t2 is 30.206mm \n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "exa 5-4 - Page 141"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "p=16#\n",
+ "Ri=250#\n",
+ "#Yield strength =sigy#\n",
+ "sigy=330#\n",
+ "v=0.3#\n",
+ "FOS=3#\n",
+ "Sa=sigy/3#\n",
+ "t=Ri*((sqrt(Sa/(Sa-(2*p))))-1)#\n",
+ "t=50#\n",
+ "\n",
+ "print \"t is %0.1fmm \"%(t)#"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "t is 50.0mm \n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "exa 5-5 - Page 141"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from math import pi\n",
+ "d=15#\n",
+ "Eg=480#\n",
+ "t=3#\n",
+ "#flange thickness=ft#\n",
+ "ft=12#\n",
+ "A=pi*d**2/4#\n",
+ "l=d+t+(ft/2)#\n",
+ "E=210#\n",
+ "kb=A*E/l#\n",
+ "#effective area of gasket=Ag#\n",
+ "Ag=pi*(((ft+t+d)**2)-(d**2))/4#\n",
+ "kg=Ag*Eg/t#\n",
+ "# printing data in scilab o/p window\n",
+ "print \"kb is %0.3f N/mm \"%(kb)#\n",
+ "kb=kb*10**-3#\n",
+ "kg=kg*10**-3#\n",
+ "if (kb<=kg):\n",
+ " print \"\\nThe combines stiffness of bolt and gasket is %0.3f kN/mm\"%(kg)\n",
+ "\n",
+ "\n",
+ "#The difference in the value of kb is due to rounding-off the value of A \n",
+ " "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "kb is 1546.253 N/mm \n",
+ "\n",
+ "The combines stiffness of bolt and gasket is 84.823 kN/mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file