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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Ch:5 Introduction to pressure vessels"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## exa 5-1 - Page 138"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t1 is 3.83 mm \n",
"\n",
"t2 is 3.894 mm \n"
]
}
],
"source": [
"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)#"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## exa 5-2 - Page 139"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t is 17.0mm \n",
"\n",
"M is 2295.0mm \n",
"\n",
"sigb is 47.6mm \n",
"sigb is below allowable sigd.\n"
]
}
],
"source": [
"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.'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## exa 5-3 - Page 140"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t1 is 24.0mm \n",
"\n",
"t2 is 30.206mm \n"
]
}
],
"source": [
"from math import sqrt\n",
"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."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## exa 5-4 - Page 141"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t is 50.0mm \n"
]
}
],
"source": [
"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)#"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## exa 5-5 - Page 141"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"kb is 1546.253 N/mm \n",
"\n",
"The combines stiffness of bolt and gasket is 84.823 kN/mm\n"
]
}
],
"source": [
"from math import pi,sqrt\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",
" "
]
}
],
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"language": "python",
"name": "python2"
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"language_info": {
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"file_extension": ".py",
"mimetype": "text/x-python",
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"nbconvert_exporter": "python",
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|
