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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Ch:31 Seals packing and gaskets"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## exa 31-1 - Page 816"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "N is 4.47 \n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from math import sqrt, pi, log\n",
+ "d=18#\n",
+ "lg=25+25#\n",
+ "Eb=210*10**3#\n",
+ "Ecl=90*10**3#\n",
+ "A=pi*d**2/4#\n",
+ "kb=A*Eb/lg#\n",
+ "x=(5*(lg+(0.5*d))/(lg+(2.5*d)))#\n",
+ "km=pi*Ecl*d/(2*log(x))#\n",
+ "C=kb/(kb+km)#\n",
+ "sigp=600#\n",
+ "At=192#\n",
+ "Pi=0.75*sigp*At#\n",
+ "F=200#\n",
+ "C=0.322#\n",
+ "Pb=F*C*10**3#\n",
+ "FOS=2#\n",
+ "W=At*sigp#\n",
+ "N=Pb*FOS/(W-Pi)#\n",
+ "print \"N is %0.2f \"%(N)#"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## exa 31-2 - Page 816"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "p is 6.922 N/mm**2 \n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import sqrt, pi, log\n",
+ "d=16#\n",
+ "D=1.5*d#\n",
+ "t=20#\n",
+ "tg=4#\n",
+ "#Let Gasket diameter in compression zone be d1\n",
+ "d1=D+(2*t)+tg#\n",
+ "lg=40#\n",
+ "E=207*10**3#\n",
+ "kb=pi*d**2*E/(lg*4)#\n",
+ "Ecl=90*10**3#\n",
+ "x=(5*(lg+(0.5*d))/(lg+(2.5*d)))#\n",
+ "kp=pi*Ecl*d/(2*log(x))#\n",
+ "Ag=pi*(d1**2-d**2)/4#\n",
+ "Eg=480#\n",
+ "kg=Ag*Eg/tg#\n",
+ "km=kg*kp/(kg+kp)#\n",
+ "C=kb/(kb+km)#\n",
+ "At=157#\n",
+ "sigp=600#\n",
+ "Pi=0.75*At*sigp/2#\n",
+ "FOS=2#\n",
+ "Pf=At*sigp/FOS#\n",
+ "W=Pf-Pi#\n",
+ "P=W/C#\n",
+ "N=5#\n",
+ "F=P*N#\n",
+ "p=F*4/(pi*120**2)#\n",
+ "print \"p is %0.3f N/mm**2 \"%(p)#"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## exa 31-3 - Page 817"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "d is 20 mm \n"
+ ]
+ }
+ ],
+ "source": [
+ "from numpy import mat, pi, sqrt\n",
+ "sigp=600#\n",
+ "FOS=3#\n",
+ "siga=sigp/FOS#\n",
+ "d=16#\n",
+ "D=1.5*d+60#\n",
+ "#Let Gasket diameter in compression zone be d1\n",
+ "d1=(300-160)/2#\n",
+ "#Let compressive stress in gasket for leak proof joint be sigl\n",
+ "sigl=12#\n",
+ "At=mat([[1, 157],[2 ,192], [3, 245]])\n",
+ "d=mat([[1 ,16],[2 ,18],[3, 20]])\n",
+ "\n",
+ "n=3#\n",
+ "Pi = range(0,n)\n",
+ "Pc = range(0,n)\n",
+ "for i in range(0,n):\n",
+ " Pi[i]=At[i,1]*d[i,1]\n",
+ " Pc[i]=3*pi*(d1**2-d[i,1]**2)\n",
+ " if (Pi[i]>=Pc[i]):\n",
+ " print \"The Design is safe\"\n",
+ "\n",
+ "print \"d is %0.0f mm \"%(d[i,1])#"
+ ]
+ }
+ ],
+ "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
+}