UDL Acting from Left Support - Case 1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# UDL Acting from Left Support - Case 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### In the case of the length of UDL (a) dispersion is less than (L/2) and also the center of span lies within the UDL disperson not acting portion length (ie outside of UDL dispersed length in which UDL length commences from left end support of the span)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import pow as power"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Input Data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "L = 8.725\n",
    "W = 143.114\n",
    "a = 0.8\n",
    "b = 7.925\n",
    "d = 0.8"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### M_AB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "40.39018349646829"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "M_AB = W*power(a, 2)/(12*power(L, 2)) * (6*power(L, 2) - 8*a*L + 3*power(a, 2));\n",
    "M_AB"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### M_BA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.606893714610992"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "M_BA = W*power(a, 3)/(12*power(L, 2)) * (4*L - 3*a);\n",
    "M_BA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RA_FE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "113.5727827830209"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RA_FE = W*a/(6*power(L, 3)) * (6*power(L, 3) - 6*L*power(a, 2) + 3*power(a, 3));\n",
    "RA_FE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RB_FE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9184172169791074"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RB_FE = W*power(a, 3)/(12*power(L, 3)) * (12*L - 6*a);\n",
    "RB_FE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MaxBM_FE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.3997013944603636"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "MaxBM_FE = W*power(a, 3)/(6*L)\n",
    "MaxBM_FE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RA_SS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "109.24231977077363"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RA_SS = W*a/(2*L) * (2*L - a)\n",
    "RA_SS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RB_SS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.248880229226362"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RB_SS = W*power(a, 2)/(2*L)\n",
    "RB_SS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MaxBM_SS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "22.898240000000005"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "MaxBM_SS = W*power(a, 2)/4\n",
    "MaxBM_SS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}