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{
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"name": "",
"signature": "sha256:f8ccaea2f8e2185eadf01a8580109480d61ddd5c9965256b8487bceaf5d3f50f"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter16-Soil-Bearing Capacity for Shallow Foundations"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1-pg587"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#determine the gross allowable load per unit area (qall) that the foundation can carry.\n",
"import math\n",
"c=20.\n",
"## from table 16.1\n",
"Nc=17.69\n",
"Nq=7.44\n",
"Ng=3.64\n",
"\n",
"Df=3.\n",
"G=110.\n",
"q=G*Df\n",
"\n",
"C=200.\n",
"B=4.\n",
"\n",
"Qu= C*Nc+q*Nq+G*B*Ng/2.\n",
"\n",
"Fs=3.\n",
"Qall=Qu/Fs\n",
"print'%s %.1f %s'%('Qa = ',Qall,' lb/ft^2')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Qa = 2264.7 lb/ft^2\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex2-pg588"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#determine the size of the footing\u2014that is, the size of B.\n",
"G=18.15\n",
"qa=30000.*9.81/1000.\n",
"\n",
"Nc=57.75\n",
"Nq=41.44\n",
"Ng=45.41\n",
"C=0.\n",
"q=G*1.\n",
"B=1.\n",
"(1.3*C*Nc+q*Nq+0.4*G*B*Ng)*B**2/3. == qa\n",
"B= math.sqrt(294.3/(250.7+109.9))\n",
"print'%s %.1f %s'%(' B = ',B,' m')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" B = 0.9 m\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex3-pg595"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"# Determine the safe gross load (factor of safety of 3) that the footing can carry\n",
"B=1.2\n",
"L=1.2\n",
"c=32.\n",
"C=0.\n",
"Df=1.\n",
"G=16.\n",
"Nq=23.18\n",
"Ng=22.02\n",
"Nc=1.\n",
"Lqs=1.+0.1*B*(math.tan(61./57.3)**2.)/L\n",
"Lgs=Lqs\n",
"Lqd=1.+0.1*Df*math.tan(61./57.3)/B\n",
"Lgd=Lqd\n",
"Lcs=1.\n",
"Lcd=1.\n",
"Gs=19.5\n",
"q=0.5*G+0.5*(Gs-9.81)\n",
"Qu= C*Lcs*Lcd*Nc+q*Lqs*Lqd*Nq+(Gs-9.81)*Lgs*Lgd*B*Ng/2.\n",
"Qa=Qu/3.\n",
"Q=Qa*B**2.\n",
"print'%s %.1f %s'%('the gross load = ',Q,' kN')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"the gross load = 311.6 kN\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex4-pg601"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#Determine the magnitude of the gross ultimate load applied eccentrically for bearing capacity failure in soil.\n",
"e=0.1\n",
"B=1.\n",
"X=B-2.*e\n",
"Y=1.5\n",
"B1=0.8\n",
"L1=1.5\n",
"c=30.\n",
"Df=1.\n",
"Nq=18.4\n",
"Ng=15.668\n",
"q=1.*18.\n",
"G=18.\n",
"Lqs=1.+e*(B1/L1)*math.tan(60./57.3)**2.\n",
"Lgs=Lqs\n",
"Lqd=1.+e*(Df/B1)*math.tan(60./57.3)\n",
"Lgd=Lqd\n",
"qu=q*Lqs*Lqd*Nq+Lgs*Lgd*G*B1*Ng/2.\n",
"Qu=qu*B1*L1\n",
"print'%s %.1f %s'%('The magnitude of the gross ultimate load =',Qu,' kN')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The magnitude of the gross ultimate load = 751.8 kN\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex5-pg601"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#determine the gross ultimate load per unit length that the foundation can carry.\n",
"import math\n",
"B=1.5\n",
"Df=0.75\n",
"e=0.1*B\n",
"G=17.5\n",
"c=30.\n",
"C=0.\n",
"q=G*Df\n",
"Nq=18.4\n",
"Ng=15.668\n",
"Lqd=1.+0.1*(Df/B)*math.tan(60./57.3)\n",
"Lgd=Lqd\n",
"Quc=q*Nq*Lqd+Lgd*B*Ng/2.\n",
"k=0.8\n",
"a=1.754\n",
"Qua=Quc*(1.-a*(e/B)**k)\n",
"print'%s %.1f %s'%('The gross ultimate load per unit length = ',Qua,' kN')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The gross ultimate load per unit length = 198.7 kN\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex6-pg606"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#Estimate the ultimate bearing capacity of a circular footing with a diameter of 1.5 m. The soil is sandy.\n",
"Qup=280.\n",
"Bp=0.7 ## in m\n",
"Bf=1.5\n",
"Quf=Qup*Bf/Bp\n",
"print'%s %.1f %s'%('The ultimate bearing capacity = ',Quf,' kN/m^2')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The ultimate bearing capacity = 600.0 kN/m^2\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex7-pg606"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#calculate the value of Cv\n",
"import math\n",
"#Determine the size of a square column foundation that should carry a load of 2500 kN with a maximum settlement of 25 mm.\n",
"a=2500.\n",
"##doing for the first values only\n",
"Bf=4.\n",
"Bp=0.305\n",
"q=a/Bf**2.\n",
"Sep=4.\n",
"Sef=Sep*(2.*Bf/(Bf+Bp))**2\n",
"print'%s %.1f %s'%('Sef = ',Sef,' mm')\n",
"import math\n",
"%matplotlib inline\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"import numpy\n",
"from math import tan\n",
"import matplotlib\n",
"from matplotlib import pyplot\n",
"#given\n",
"t=numpy.array([.02,.1,.25,.5,1,2.,4.,8.,16.,30.,60.,120.,240.,480.,960.,1440.])\n",
"gauge=numpy.array([3975.,4082.,4102.,4128.,4166.,4224.,4298.,4420.,4572.,4737.,4923.,5080.,5207.,5283.,5334.,5364.])\n",
"Hdr=2.24\n",
"t50=19.\n",
"#calculations\n",
"Cv=.197*(Hdr/2)**2 /t50/60.\n",
"leng=len(t)\n",
"logt=numpy.zeros(leng)\n",
"for i in range(0,leng):\n",
"\tlogt[i]=math.log(t[i])\n",
"\n",
"#results\n",
"print'%s %.4f %s'%('The value of Cv (cm^2/sec) = ',Cv,'')\n",
"pyplot.plot(logt,gauge)\n",
"pyplot.xlabel('Time(min) - log scale')\n",
"pyplot.ylabel('Dial reading (cm)')\n",
"pyplot.title('Graph of dial reading vs time')\n",
"pyplot.show()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Sef = 13.8 mm\n",
"The value of Cv (cm^2/sec) = 0.0002 \n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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NS/4xcB3wLvC/5QzKrKO59FK44QaYNMnrZ1vr1GibhaRVgWkR0SZ6eLvNwtqi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\nmQhcK+kiUjVTH2BGRISkdyU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"text": [
"<matplotlib.figure.Figure at 0x54c9290>"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}
|
