Partial UDL - Load Case C.ipynb

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   "source": [
    "# Partial UDL - Load Case C"
   ]
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### In the case of center of span lies within the right side of half length of UDL dispersion length itself which is acting on the partial length of UDL dispersion in anywhere of the effective 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 = 10\n",
    "W = 20.6254\n",
    "a = 4.943\n",
    "b = 5.057\n",
    "d = 1.4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### M_AB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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     "data": {
      "text/plain": [
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      ]
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     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "M_AB = W*d/power(L, 2) * (a*power(b, 2) + (a - 2*b)*power(d, 2)/12)\n",
    "M_AB"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### M_BA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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     "data": {
      "text/plain": [
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      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "M_BA = W*d/power(L, 2) * (power(a, 2)*b + (b - 2*a)*power(d, 2)/12)\n",
    "M_BA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RA_FE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
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   "outputs": [
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     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "RA_FE = W*d/power(L, 3) * ((2*a + L)*power(b, 2) + (a - b)*power(d, 2)/4) \n",
    "RA_FE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RB_FE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
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   "outputs": [
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     "execution_count": 6,
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     "output_type": "execute_result"
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   ],
   "source": [
    "RB_FE = W*d/power(L, 3) * ((2*b + L)*power(a, 2) - (a - b)*power(d, 2)/4) \n",
    "RB_FE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MaxBM_FE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
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   "outputs": [
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     "data": {
      "text/plain": [
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     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "MaxBM_FE = W/(24*L) * (power(d, 3) - 3*power(L, 3) + 12*d*power(a, 2) - 3*L*d*(d + 2*L) + 12*b*L*(d+a))\n",
    "MaxBM_FE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RA_SS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
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     "data": {
      "text/plain": [
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     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "RA_SS = W*b*d/L\n",
    "RA_SS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RB_SS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
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     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "RB_SS = W*a*d/L\n",
    "RB_SS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MaxBM_SS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
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     "data": {
      "text/plain": [
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      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "MaxBM_SS = W/8 * (-1*power(d, 2) - 4*power(a, 2) - power(L, 2) + 2*L*(2*a+d))\n",
    "MaxBM_SS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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