{
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Ch:12 Welded joints"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-1 - Page 347"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"h=8#\n",
"F=100*10**3#\n",
"t=0.707*h#\n",
"A=4*60*t#\n",
"T=F/A#\n",
"print \"T is %0.1f MPa \"%(T)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"T is 73.7 MPa \n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-2 - Page 347"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"FOS=3#\n",
"Ta=95/FOS#\n",
"P=350*10**3#\n",
"h=12.5#\n",
"t=0.707*h#\n",
"l=P/(2*t*Ta)#\n",
"print \"l is %0.0f mm \"%(l)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"l is 639 mm \n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-3 - Page 348"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"h=12#\n",
"t=0.707*h#\n",
"l=60#\n",
"Ta=80#\n",
"P=2*l*t*Ta#\n",
"P=P*10**-3#\n",
"print \"P is %0.3f kN \"%(P)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"P is 81.446 kN \n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-4 - Page 348"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from math import sin, pi, cos, sqrt\n",
"P=6*10**3#\n",
"e=150+(100/2)#\n",
"T=P*e#\n",
"A=200#\n",
"Td=P/A#\n",
"r=sqrt(2*50**2)#\n",
"Ixx=2*(100*50**2)#\n",
"Iyy=2*100**3/12#\n",
"IG=Ixx+Iyy#\n",
"Ts=r*T/IG#\n",
"Tmax=sqrt((Ts*sin(45*pi/180))**2+(Td+(Ts*cos(45*pi/180)))**2)#\n",
"Ta=80#\n",
"t=Tmax/Ta#\n",
"h=sqrt(2)*t#\n",
"h=3#\n",
"print \"h is %0.0f mm \"%(h)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"h is 3 mm \n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-5 - Page 349"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"h=10#\n",
"t=10/sqrt(2)#\n",
"Ta=80#\n",
"x=((50*25)+(50*0))/(50+50)#\n",
"y=x#\n",
"ra=sqrt(x**2+37.5**2)#\n",
"Ixx=(7.07*50**3/12)+(50*7.07*(12.5**2))+(50*7.07*12.5**2)#\n",
"IG=2*Ixx#\n",
"e=100+(50-12.5)#\n",
"Tr=16.09*10**-3#\n",
"P=Ta/Tr#\n",
"P=P*10**-3#\n",
"print \"P is %0.3f KN \"%(P)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"P is 4.972 KN \n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-6 - Page 350"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"P=16*10**3#\n",
"l=300#\n",
"r=50#\n",
"M=P*l#\n",
"A=2*pi*r#\n",
"Ixx=pi*r**3#\n",
"sigb=M*r/Ixx#\n",
"Td=P/A#\n",
"Tmax=sqrt((sigb/2)**2+(Td**2))#\n",
"Ta=90#\n",
"t=Tmax/Ta#\n",
"h=sqrt(2)*t#\n",
"h=5#\n",
"print \"h is %0.0f mm \"%(h)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"h is 5 mm \n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-7 - Page 350"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sigut=415#\n",
"sige=sigut/3#\n",
"Ka=0.5#\n",
"Kb=0.85#\n",
"Kc=0.897#\n",
"SCF=1.5#\n",
"Kd=1/SCF#\n",
"FOS=2#\n",
"sige1=sige*Ka*Kb*Kc*Kd/FOS#\n",
"Pa=50*10**3#\n",
"h=10#\n",
"t=0.707*h#\n",
"l=Pa/(2*sige1*t)#\n",
"print \"l is %0.0f mm \"%(l)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"l is 202 mm \n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-8 - Page 351"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"l=300#\n",
"P=30*10**3#\n",
"T=P/(2*l)#\n",
"Ta=124#\n",
"t1=T/Ta#\n",
"h1=sqrt(2)*t1#\n",
"M=P*l#\n",
"Ixx=2*100*110**2#\n",
"sigb=M/Ixx*110#\n",
"#Let the allowable bending stress is Tab\n",
"Tab=200#\n",
"t2=sigb/Tab#\n",
"h2=t2/0.707#\n",
"h2=3#\n",
"print \"h is %0.0f mm \"%(h2)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"h is 3 mm \n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-9 - Page 352"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Ta=60#\n",
"l1=60#\n",
"l2=40#\n",
"P1=Ta*0.707*l1#\n",
"P2=Ta*0.707*l2#\n",
"P=80*10**3#\n",
"h=P/(P1+P2)#\n",
"h=20#\n",
"a=(P2*100)/(P1+P2)#\n",
"print \" h is %0.0f mm \"%(h)#\n",
"print \"\\n a is %0.0f mm \"%(a)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" h is 20 mm \n",
"\n",
" a is 40 mm \n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-10 - Page 352"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"P=300*10**3#\n",
"l=500#\n",
"A=2*l#\n",
"Td=P/A#\n",
"T=(350-250)*P#\n",
"IG=(l**3*2/12)+(l*2*5**2)#\n",
"r=sqrt(250**2+5**2)#\n",
"Ts=T*r/IG#\n",
"Ts=Ts+Td#\n",
"Ta=110#\n",
"t=Ts/Ta#\n",
"h=t/0.707#\n",
"h=9#\n",
"print \"h is %0.0f mm \"%(h)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"h is 9 mm \n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 12-11 - Page 353"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t=30#\n",
"sigut=417#\n",
"sige=sigut/2#\n",
"Ka=0.5#\n",
"Kb=0.85#\n",
"Kc=0.897#\n",
"SCF=1.2#\n",
"Kd=1/SCF#\n",
"FOS=1.5#\n",
"sige1=sige*Ka*Kb*Kc*Kd/FOS#\n",
"Pa=60*10**3#\n",
"l=Pa/(sige1*t)#\n",
"print \"l is %0.1f mm \"%(l)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"l is 45.4 mm \n"
]
}
],
"prompt_number": 11
}
],
"metadata": {}
}
]
}