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@baldwint
Created February 2, 2015 23:55
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{
"metadata": {
"name": "",
"signature": "sha256:8144fbbdba35e6f03ddc1757b7531966c491220f5b4a0ec5ecf1894f656042ca"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as p"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p.matplotlib.rc('savefig', dpi=150, transparent=True)\n",
"p.matplotlib.rc('figure', figsize=(4,3))\n",
"p.matplotlib.rc('legend', fontsize=u'medium')\n",
"p.matplotlib.rc('axes', titlesize=u'medium')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# base unit: kN\n",
"LBF = 4.44822162e-3 # One pound"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"KNOT_FACTOR = 2/3.\n",
"SAFTETY_MARGIN = 0.1"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ropes = ('3/8\"','7/16\"','1/2\"')\n",
"thresholds = np.array((6000., 8000., 10000.))*LBF"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"load = np.arange(0, 6.1, .1)\n",
"angle = np.arange(0., 95., 5.)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"A,L = np.meshgrid(angle, load)\n",
"tension = L * np.sin(np.radians(A))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"margins = thresholds * KNOT_FACTOR * SAFTETY_MARGIN"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = p.subplot()\n",
"colors = list('gyrk')\n",
"\n",
"cs = ax.contour(angle, load, tension, margins, colors=colors)\n",
"ax.contourf(angle, load, tension, margins, colors=colors, alpha=0.2, extend='both')\n",
"ax.clabel(cs, fmt='%.2f kN')\n",
"ax.grid(True)\n",
"\n",
"ax.set_title('10% margins for static ropes w/knot', )\n",
"ax.set_xlabel('angle (deg)')\n",
"ax.set_ylabel('load (kN)')\n",
"\n",
"ax.legend(cs.collections, ropes, loc='upper right')\n",
"\n",
"# dual-tick in pounds\n",
"ax2 = ax.twinx()\n",
"ax2.set_ylim(kN/LBF for kN in ax.get_ylim())\n",
"ax2.set_ylabel('load (pounds)')\n",
"\n",
"p.tight_layout()\n",
"p.savefig('margins.pdf')\n",
"p.savefig('margins.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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PikndjVIb0bRWUzzKw5ebFpaI93g8DB0afu0iTjIyLgdg6/H3w1q2F4/Hw+2j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\nuVZV063SStzjPt7ZT9qT2z0AOBT30H0iT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"text": [
"<matplotlib.figure.Figure at 0x1061692d0>"
]
}
],
"prompt_number": 10
}
],
"metadata": {}
}
]
}
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