A file my professor gave me

New Concrete Beam

{
 "metadata": {
  "name": "New Concrete Beam"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import Concrete_Beam as Beam\n",
      "from IPython.core.display import Latex"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dir(Beam)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 2,
       "text": [
        "['A_s_min',\n",
        " 'Beta1',\n",
        " 'Design_Analysis',\n",
        " 'Math',\n",
        " 'NA',\n",
        " 'Phi',\n",
        " 'Required_Width',\n",
        " 'Yield_Strain',\n",
        " '__builtins__',\n",
        " '__doc__',\n",
        " '__file__',\n",
        " '__name__',\n",
        " '__package__',\n",
        " 'bar_options',\n",
        " 'bar_value',\n",
        " 'ceil',\n",
        " 'double_Mn',\n",
        " 'numpy',\n",
        " 'round',\n",
        " 'simply_analize']"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "f_c = 3000. #psi\n",
      "f_y = 60000. #psi\n",
      "d = 24. #in\n",
      "b = 12. #in\n",
      "e_t = 0.009 #in/in\n",
      "(output, latex) = Beam.Design_Analysis(f_c, f_y, d, b, e_t)\n",
      "Latex(latex)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "As_min was checked.\n",
        "\n"
       ]
      },
      {
       "latex": [
        "$$\\beta_1 = 0.85 \\text{  since }f_c \\leq 4,000 \\text{ psi} $$$$\\text{The distance down to the neutral axis } c = \\frac{0.003 d}\n",
        "        {\\varepsilon_t +0.003} = 6.00\\text{\"}$$ $ $$$\\text{The height of the whitney stress block }a = \\beta_{1} c\n",
        "    = 5.10\\text{\"}$$$$\\text{The required tension steel area assuming yielding is }\n",
        "    A_{s} = \\frac{a b (0.85 f_{c})}{f_{y}} =2.60\\text{ in}^2$$$$\\text{Since }3 \\sqrt{f_{c}} \\leq 200 \\text{ then } A_{s, min}\n",
        "        =\\frac{200 b d}{f_{y}} = 0.96\\text{ in}^{2} $$$$\\text{Note that }A_{s} \\geq A_{s, min}$$$$\\rho = \\frac{A_{s}}{b d}= 0.0090$$ $ $$$Z = d - \\frac{a}{2} =21.45\\text{\"}$$ $ $$$M_{n} = A_{s} f_{y} Z = 279.0\\text{ kip ft}$$ $ $$$\\phi = 0.90 \\text{ since }\\varepsilon_t \\geq 0.005$$$ $$$M_{u} = \\phi M_{n} = 251.1\\text{ kip ft}$$$$\\text{The beam's self weight is not accounted for and is equal to \n",
        "        0.300} \\frac{\\text{kip}}{\\text{ft}}$$$$\\bar{k} = \\frac{M_{n}}{b d^{2}} = 0.4843\\text{ ksi}$$"
       ],
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "<IPython.core.display.Latex at 0x2c86350>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    }
   ],
   "metadata": {}
  }
 ]
}