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PyNite questions
{
"cells": [
{
"cell_type": "code",
"execution_count": 64,
"id": "2a778a79-a1f1-45ad-aa9d-531b7f3429a7",
"metadata": {},
"outputs": [],
"source": [
"from PyNite import FEModel3D\n",
"from PyNite.Visualization import render_model\n",
"import handcalcs.render"
]
},
{
"cell_type": "markdown",
"id": "3513e4dd-a259-4361-bc4b-b5705fd52e14",
"metadata": {},
"source": [
"# Beam model\n",
"\n",
"There seems to be some inconsistencies with this model. As far as I can tell, it seems to be caused by the point load at the end of the beam. As I increase the magnitude of this load, the discontinuities in the moment and deflection diagrams increase (e.g. compare results when `10000` is used as the load magnitude)"
]
},
{
"cell_type": "code",
"execution_count": 65,
"id": "96ec2c08-dc31-44e3-b4d1-974efa25d4c1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"+----------------+\n",
"| Statics Check: |\n",
"+----------------+\n",
"\n",
"+------------------+--------+--------+-----------+----------+--------+--------+--------+---------+--------+---------+-----------+----------+\n",
"| Load Combination | Sum FX | Sum RX | Sum FY | Sum RY | Sum FZ | Sum RZ | Sum MX | Sum RMX | Sum MY | Sum RMY | Sum MZ | Sum RMZ |\n",
"+------------------+--------+--------+-----------+----------+--------+--------+--------+---------+--------+---------+-----------+----------+\n",
"| Combo 1 | 0 | 0 | -1.89e+05 | 1.89e+05 | 0 | 0 | 0 | 0 | 0 | 0 | -4.46e+08 | 4.46e+08 |\n",
"+------------------+--------+--------+-----------+----------+--------+--------+--------+---------+--------+---------+-----------+----------+\n",
"\n"
]
}
],
"source": [
"beam_model = FEModel3D()\n",
"nodes = [\n",
" (0, 0, 0),\n",
" (1000, 0, 0),\n",
" (3600, 0, 0),\n",
" (4800, 0, 0),\n",
"]\n",
"\n",
"for idx, node in enumerate(nodes):\n",
" beam_model.add_node(f\"N{idx}\", *node)\n",
" \n",
"beam_model.def_support(\"N1\", 1, 1, 1, 1, 0, 0) # @ 1000\n",
"beam_model.def_support(\"N2\", 0, 1, 0, 0, 0, 0) # @ 3600\n",
"\n",
"beam_model.add_member(\"M1\", \"N0\", \"N3\", E=24500, G=24500/3, Iy=1000, Iz=1200000000, J=120000, A=1000)\n",
"\n",
"beam_model.add_member_dist_load(\"M1\", \"Fy\", w1=-40, w2=-40, x1=0, x2=4800)\n",
"beam_model.add_member_pt_load(\"M1\", \"Fy\", P=1000, x=4800)\n",
"\n",
"beam_model.analyze(check_statics=True)"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "ca06b8a4-e277-4eb2-adac-759cf02e3123",
"metadata": {},
"outputs": [],
"source": [
"render_model(beam_model, annotation_size=200)"
]
},
{
"attachments": {
"f8776bb8-4120-4e15-b84a-d04324a21f53.png": {
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"
}
},
"cell_type": "markdown",
"id": "ba62e380-8bb0-47cf-88cf-3a05faa63ade",
"metadata": {},
"source": [
"## Model render\n",
"\n",
"![image.png](attachment:f8776bb8-4120-4e15-b84a-d04324a21f53.png)"
]
},
{
"cell_type": "markdown",
"id": "0056dac0-3281-42f0-aae2-b817cff4f7ad",
"metadata": {},
"source": [
"# Reactions"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "1f7c22da-6743-4422-afcb-0972248c02a6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'Combo 1': 90000.0}"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"beam_model.Nodes['N1'].RxnFY"
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "101ae8ee-751f-4534-9615-82ddffe5fa22",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'Combo 1': 99000.00000000001}"
]
},
"execution_count": 68,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"beam_model.Nodes[\"N2\"].RxnFY"
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "f089c65e-b972-4131-a2a2-5c7ccb75b58f",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"\\[\n",
"\\begin{aligned}\n",
"\\Sigma_{F_{y}} &= \\left( - 40 \\right) \\cdot 4800 + 1000 &= -191000 \\; \\;\\textrm{(Off by 2000?)}\n",
"\\end{aligned}\n",
"\\]"
],
"text/plain": [
"<IPython.core.display.Latex object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%render \n",
"Sigma_F_y = -40 * 4800 + 1000 # Off by 2000?"
]
},
{
"cell_type": "code",
"execution_count": 70,
"id": "1484c976-2f4c-4155-aafd-de0b4e067766",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"\\[\n",
"\\begin{aligned}\n",
"\\Sigma_{R_{y}} &= 90000 + 99000 &= 189000 \n",
"\\end{aligned}\n",
"\\]"
],
"text/plain": [
"<IPython.core.display.Latex object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%render\n",
"Sigma_R_y = 90000 + 99000"
]
},
{
"cell_type": "markdown",
"id": "10465f30-3a23-43a5-9dba-f062adeebd5a",
"metadata": {},
"source": [
"# Force diagrams\n",
"\n",
"There are growing discontinuties on both the moment and deflection diagram."
]
},
{
"cell_type": "code",
"execution_count": 71,
"id": "6b36f4c4-976e-4d57-b3fb-776be01386d3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Uchkiz6Xgp2PXpQ6HiIgMDBMzIm34Z3DM19UG07r6AgDmbT+H+ORMCYMiIiJDw8SMSMuGt62Pjo1ro7BYjbEbopFfVCJ1SEREZCCYmBFpkSAAgiBgUT9/1LZR4mJKNj7ZcU7qsIiIyEAwMSPSgken+TtZK7GsfwAEAfjp6HVExCVLEhcRERkWJmZEOtKuoRPe7dAAADD159NISs+TOCIiItJ3TMyItEh45O9JnRvBv54dMvKKMH5jDErUvIUGERE9HhMzIi143C3LzOUyrBwUCGulGY4npmH1/ss1GxgRERkUJmZEWiQIj46ZAZ61rPBJr2YAgOV/XMTfV9NqOiwiqqIbabkoKlFLHQaZICZmRFoglpv+X1avwLp4LbAu1CIwLjwGGblFNRQZEVXV2aQMtF+4H4O/PsrkjGocEzOiGjK3VzPUr2WJW+l5+HDbGZZsItJT1+7lAgBOXL2PFX9ckjgaMjVMzIi0qPyJzH9ZK82wclAgzGQCdpy5jY0nbtRYXERUPasPXMaRK3elDoNMCBMzIi2o7OBXi3r2mBzWGAAw+/ezuJyapcOoiKg6Hv4+iyIwYWMM0nIKpQuITAoTMyItqmDufzkj23ujfUMn5BepMWZDDEs2Eemp5nXt4F3bCimZBZiy5TSnH1CNYGJGpAVV+bmWyQQs6e+PWlYKnL+dic92xessLiKqPkuFHCsHBkIhl+GP8yn4v6PXpA6JTAATMyIJONuosLi/PwBg7ZGr+ONcisQREdEDD19l3ayuHaZ19QUAfLLjPM7fzpQqLDIRTMyIJNKxsTNGtPMCAEzeEouUzHyJIyKihz2YmjC8bX10bFwbhcVqjN0QjbxCTj8g3WFiRqQF1Z17MqVLYzStY4v7uUWYwJJNRHpJEAQs6ueP2jZKXErNxrwd56QOiYwYEzMiLarozv9PojSTY9WgQFgq5Dhy5R7WHLqio8iIqLIqOs5yslZiWf8ACAKw/th1RMTdrvnAyCQwMSOSmHdta8zu2RQAsGTPRURfvy9xREQEAMIjdyZs19AJ73TwBgBM2XIat9LzpAiLjBwTMyI90C+oHl7xr4MStYix4dHIzGfJJiJ9NOnlxvCvZ4fM/GJMCI9BMUs2kZYxMSPSoqqdyHzoeYKAT3s3Qz0HC9xIy8OMbXG8ZxKRRJ70zVOYybByUCCslWY4fjUNn++/XGNxkWlgYkakBdrIoWxV5lg5KBBymYDfYpPw86lbz75RIqq2x00Z9axlhU96NQMArNx7CccT02owKjJ2TMyItKiKc//LaenhgIkvNwIAzPw1Dgl3srUQFRFVRWVGq3sF1sVrgXWhFoHx4dHIyOX0A9IOJmZEWqDNk47vvdAAId61kFtYgrHh0Sgs5hwWIn00t1cz1K9liaSMfEzbypJNpB1MzIj0jFwmYNmAADhYmiPuViYW7WbJJiIpPG0E3FpphpWDAmEmE7ArLhkbjt+omcDIqDExI9KiRy+vry5XOxUW9S0t2fT1n4k4cCFVK9slIu1qUc8ek8MaAwDmbj+LSylZEkdEho6JGZEW6OIURqifC4aGeAIAPtgciztZBVp/DSJ6diPbe6N9QyfkF6kxZkM08otYsomqz2ATs88++wyCIGD8+PGaZfn5+Rg1ahRq1aoFa2tr9OnTBykpZYtDX79+Hd27d4elpSWcnZ0xefJkFBcXl2lz4MABtGzZEkqlEj4+Pli7dm2511+9ejXq168PlUqF4OBgHD9+XBdvkwzMs07+f9T0bk3g62qDu9mFmLQ5FmqWbCKqMZUdAZfJBCzp749aVgrEJ2dh/s7zOo6MjJlBJmYnTpzAmjVr0KJFizLLJ0yYgN9//x2bN2/GwYMHkZSUhNdee02zvqSkBN27d0dhYSGOHDmCH374AWvXrsXMmTM1bRITE9G9e3d07NgRMTExGD9+PN5++23s3r1b02bjxo2YOHEiZs2ahVOnTsHf3x9hYWFITeXpJlOlq3RJZV5askllLsOhi3fw7V+JOnolInqgOgPgzjYqLO5fOv3gh6hr+ONcylOeQVQxg0vMsrOzMWTIEHz99ddwcHDQLM/IyMC3336LpUuX4qWXXkJQUBC+//57HDlyBEePHgUA7NmzB+fOncNPP/2EgIAAdO3aFfPmzcPq1atRWFgIAPjyyy/h5eWFJUuWoEmTJhg9ejT69u2LZcuWaV5r6dKlGDlyJIYPHw4/Pz98+eWXsLS0xHfffVeznUEmoaGLDWb2KC3ZtHB3PM7czJA4IiLTUNUR8I6NnTGinRcAYPKWWCRn5OsgKjJ2ZlIHUFWjRo1C9+7dERoaik8++USz/OTJkygqKkJoaKhmma+vLzw8PBAVFYXnn38eUVFRaN68OVxcXDRtwsLC8P777+Ps2bMIDAxEVFRUmW08aPPglGlhYSFOnjyJ6dOna9bLZDKEhoYiKirqsXEXFBSgoODfOUKZmZkAgKKiIhQVae/+Nw+2pc1t0tOp1WrNf3XR930DXXHwQgp2n0vF6PWn8Mt/noe10uC+vlrHz7s0jL3fi0tK54ip1WKV3+OETg0QdeUuzt3OwvjwU1g7rBXkMu3McTD2ftdXj/a7rvvfoH7Zw8PDcerUKZw4caLcuuTkZCgUCtjb25dZ7uLiguTkZE2bh5OyB+sfrHtSm8zMTOTl5eH+/fsoKSmpsE18/ONvazB//nzMmTOn3PI9e/bA0tLysc+rrsjISK1vkx7v2jUZABkSExOxc+cVnbzGi1bAMYUc19Jy8e6aPzDEh/c3e4Cfd2kYa7/H3BEAyHH37h3s3Lmzys/v7QJcTpHjaOJ9TPomAp3raXeyg7H2u7570O+5ubk6fR2DScxu3LiBcePGITIyEiqVSupwqmz69OmYOHGi5u/MzEy4u7ujc+fOsLW11drrFBUVITIyEi+//DLMzc21tl16shO/nwOSb8Lbywvd/rl0Xhc8W9zH69+dwPE7Mgx4wR89/d109lqGgJ93aRh7vxfFJOGny3GoXbs2unULqtY2rL1uYfq2s4i4ZYahXZ9DoLv9s8dl5P2urx7t9wdnvHTFYBKzkydPIjU1FS1bttQsKykpwaFDh/D5559j9+7dKCwsRHp6eplRs5SUFLi6ugIAXF1dy109+eCqzYfbPHolZ0pKCmxtbWFhYQG5XA65XF5hmwfbqIhSqYRSqSy33NzcXCdfMF1tlyomyEqna8rkMp32e5uGzhjbqSGW/3EJs34/j+e8nOBRS/sjroaGn3dpGGu/y83kAABBEKr9/ga29sSRhPv4PTYJEzefwc5x7WGr0k5fGWu/67sH/a7rvjeYyf+dOnXCmTNnEBMTo3m0atUKQ4YM0fzb3Nwce/fu1TznwoULuH79OkJCQgAAISEhOHPmTJmrJyMjI2Fraws/Pz9Nm4e38aDNg20oFAoEBQWVaaNWq7F3715NGyJdGt3RB63rOyK7oBhjwqNRVMJTmkTapI3bEgqCgE97N0M9BwvcvJ+Hj7bFsWQTVYrBJGY2NjZo1qxZmYeVlRVq1aqFZs2awc7ODiNGjMDEiROxf/9+nDx5EsOHD0dISAief/55AEDnzp3h5+eHN954A7Gxsdi9ezdmzJiBUaNGaUaz3nvvPSQkJGDKlCmIj4/H//73P2zatAkTJkzQxDJx4kR8/fXX+OGHH3D+/Hm8//77yMnJwfDhwyXpG9If2rrz/5OYyWVYNjAAtiozxN5Ix9LIizp/TSJTJDzjjQltVeZYOSgQcpmA32OTsOXkTS1FRsbMYBKzyli2bBl69OiBPn36oEOHDnB1dcXWrVs16+VyObZv3w65XI6QkBC8/vrrePPNNzF37lxNGy8vL+zYsQORkZHw9/fHkiVL8M033yAsLEzTZsCAAVi8eDFmzpyJgIAAxMTEICIiotwFAWRCavhIuK69BRb0Kb2P35cHr+Dw5bs1+vpExkybX+eWHg6Y+HIjAMCs387iyp1s7W2cjJLBzDGryIEDB8r8rVKpsHr1aqxevfqxz/H09HzqVTYvvvgioqOjn9hm9OjRGD16dKVjJdK2rs3dMDjYA+uPXceEjTHYNa49almXn8dIRNJ674UG+OvSXUQl3MPYDdHY+p82UP4zj43oUUY1YkYklQcH2NouyfQ0H3f3Q0Nna6RmFWDyltOcw0KkRdr6OstlApYNCICDpTnOJmViUcQFLW2ZjBETMyIDZqGQY+WgQCjMZNgXn4ofjlyVOiQig6eLwxtXOxUW9S0t2fTNX4nYf4El/KhiTMyItKiGB8wAAE3cbDGjexMAwH93xuNckm7vsUNE1RPq54KhIZ4AgA82xSI1iyWbqDwmZkRaIPUZxDee90RoExcUlqgxZsMp5BYWSxsQkRHQxdSE6d2awNfVBvdyCjFpUyzUak4/oLKYmBEZAUEQsLBvC7jYKnHlTg7m/n5O6pCIDJYu52qqzOVYNSgQKnMZ/rx0F9/8laCz1yLDxMSMSAvEf2al1PTk/4c5WimwbEAABAEIP3EDO07fli4YIiOgq69zQxcbzOzRFACwMOICYm+k6+iVyBAxMSMyIm0aOGHUiz4AgGlbT+Pmfd0W2yWi6hnU2h1dm7miWC1ibHg0sgs4/YBKMTEj0qKauPP/04wLbYhAD3tk5RdjXHgMilmyiahKamLWlyAI+Oy1Fqhjp8K1e7mY+WtcDbwqGQImZkRaIPXk/4eZy2VYOTAQNkoznLx2Hyv3XZY6JCKD9KwlmZ7GztIcywcGQiYAW0/dwrZolmwiJmZERsnd0RL/fa05AODzfZdwNOGexBERUUVaezlibKeGAIAZ2+Jw7V6OxBGR1JiYEWmT9GcyNV7xr4N+QfWgFoEJG2NwP6dQ6pCIDEMNj4CP7uiD1vUdkVNYgrEbolFYzOkHpoyJGZEW6NGZzDJm92wKbycr3M7Ix9SfWbKJqCpq6jjLTC7DsoEBsFWZIfZmBpZGXqyhVyZ9xMSMSIv0aMAMAGClNCst2SSXYc+5FKw7dl3qkIj0nijBoVZdewss6NMCAPDlwSv489KdGo+B9AMTMyIt0OeBqGZ17TC1qy8AYN72c7iQnCVxRERUka7N3TA42AMAMHFTLO5lF0gcEUmBiRmRCXirbX282Lg2CopLSzblF5VIHRKR3pPihtEfd/dDQ2dr3MkqwAebYzn9wAQxMSPSIl1fXl9dgiBgcT9/OFkrcTElG5/uOC91SER6S8pcyEIhL51+YCbD/gt38P3hq9IFQ5JgYkakFfp/VOtkrcSyAf4AgP87eg27zyZLHBERVaSJmy1mdG8CAPhsVzzibmVIHBHVJCZmRFqkn+Nl/2rfsDbe7eANAJj682nczsiTOCIifSbdN/qN5z0R2sQFhSVqjA2PRm4hSzaZCiZmRFpgSNNAJnVujBb17JCeW4Tx4TEoURtQ8EQ1QB++EYIgYGHfFnCxVSLhTg7m/HZO6pCohjAxIzIxCrPSkk1WCjmOJabhf/tZsomoIlJPGXW0UmDZgAAIArDx7xvYeYbTD0wBEzMiLZL6h7yy6jtZYV6vZgCA5Xsv4e+raRJHREQVadPACaNe9AEAzPjtHO7lSxwQ6RwTMyIt0IdTH1X1Wst66B1YFyVqEePCY5CRVyR1SER6Qd+mJowLbYhAD3tk5Rfjx0tyFJewZJMxY2JGpEUGMmCmMffVpvCsZYlb6Xn4cOsZ3jOJ6CH68n02l5dOP7BWmuFqtoBV+xOkDol0iIkZkRYYaj5jozLHyoGBMJMJ2HHmNjb9fUPqkIioAu6OlvjkVT8AwBeHEhB15Z7EEZGuMDEjMnH+7vb4IKwxAGD2b+dwOTVb4oiIpCVFrczK6N7cFcG11RBFYMLGGNzPKZQ6JNIBJmZEWqSvd/5/mnfae6OdjxPyikowZkM0SzYRQT8v5unjpYZXLUskZ+Zjys+nOf3ACDExI9ICfT3CriyZTMDS/v6oZaXA+duZWBARL3VIRJLR51xHKQeW9W8BhVyGyHMp+OnoNalDIi1jYkZEAABnWxUW9yst2fT94avYF58icUREVJGmdWwxtasvAGDejvOIT86UOCLSJiZmRFqgz0fYVdHR1xlvtfUCAHyw+TRSM3nTJDJdgt5cl1neW23r48XGtVFYrMbYDdHIK+T0A2PBxIyIypjatTH83GyRllOICZtioGbJJjIxhvCJFwQBi/v5w8laiYsp2fhkB0s2GQsmZkRapI+ThatKaSbHqsGBsDCX4/Dle1hziPdMItJHTtZKLBtQOv1g3bHriIhjySZjwMSMSAsM4Qi7KhrUtsacnk0BAEv2XEDMjXRpAyKSgCEcaLVvWBvvdvAGAEz9+TSS0vMkjoieFRMzIi0yhB/yyurXqh56tHBDsVrE2A3RyMpnySYyEQY2aXRS58ZoUc8OGXlFGB8egxJOPzBoTMyItMHAfsgrQxAEfNq7Oeo5WOB6Wi5m/BLHeyaRSTGUAy2FWWnJJiuFHMevpuHzfZelDomeARMzInosOwtzrBgYCLlMwK8xSdh66pbUIRFRBeo7WeGT3s0AACv2XsTfV9Mkjoiqi4kZkRbp8+X11RXk6YAJoQ0BADN/jUPi3RyJIyLSLUMdF+4dWA+9A+tCLQLjwmOQkcvpB4aIiRmRFhj7Gb73X/TB896OyCkswdgN0SgsVksdEpHOGeKB1txXm8KzliVupedh+jaWbDJETMyItMhQ5qRUlVwmYPmAQNhbmuPMrQws3nNB6pCIqAI2KnOsHBgIM5mAnWeSsfHEDalDoipiYkakBaZwTOpqp8LCPi0AAF8dSsDBi3ckjohINwx9kMnf3R4fhDUGAMz+/Swup2ZJHBFVBRMzIqq0zk1d8WaIJwBg0qZY3MkqkDgiIh0y4BHwd9p7o52PE/KL1Bi9Phr5RSzZZCiYmBFpkQH/jlfah92aoLGLDe5mF+CDzbEs2URGxxjmZclkApb290ctKwXik7Pw2a54qUOiSmJiRqQFRvA7Xmkq89KSTUozGQ5evIPvDidKHRIRVcDZVoXF/UpLNq09chV/nEuROCKqDCZmRFRljVxsMPMVPwDAgoh4xN3KkDgiIu0zhhHwjr7OeKutFwBg8pZYpGTmSxwRPQ0TMyItEP+Z/i8Y62WZFRjc2gNdmrqiqETEmA3RyCkoljokIq0wtgHwqV0bw8/NFvdzizBhI0s26TsmZkRULYIg4LM+zeFmp0Li3RzM+u2s1CERUQWUZqXTDyzM5Thy5R7WHLoidUj0BEzMiKja7C0VWD4gADIB2HLyJn6NYckmMh7GNALeoLY15vRsCgBYsuciTl2/L3FE9DhMzIi0wJQm/z8q2LsWxrxUWrJpxrY4XL+XK3FERM/GWL/P/VrVQ48WbihRixgXHo3MfJZs0kdMzIjomY15yQetPB2QVVCMseHRKCphySYyfMYzXlZKEAR82rs56jlY4EZaHmZsizOKW4MYGyZmRFrw4KfNiM58VImZXIblAwNgqzJDzI10LIu8KHVIRFQBOwtzrBgYCLlMwG+xSfj5FKcf6BsmZkSkFfUcLPHZPyWbvjh4BUcu35U4IqLqMfYxpCBPB0wILZ1+MPPXOCTcyZY4InoYEzMiLTLRATONbs3dMKi1O0QRGL8xBmk5hVKHRFRtxjwC/v6LPnje2xG5hSUYGx6NwmJOP9AXTMyItMHYD7GrYGaPpvBxtkZqVgGmbInlHBYiPSSXCVg+IBD2luaIu5WJRbtZsklfMDEjIq2yUMixcmAgFGYy/HE+FT9GXZM6JKIqMZWDCVc7FRb+M/3g6z8TceBCqsQREWBAidn8+fPx3HPPwcbGBs7OzujVqxcuXLhQpk1+fj5GjRqFWrVqwdraGn369EFKStnaYNevX0f37t1haWkJZ2dnTJ48GcXFZe9YfuDAAbRs2RJKpRI+Pj5Yu3ZtuXhWr16N+vXrQ6VSITg4GMePH9f6eybDY0z3PXoWfnVs8VG3JgCAT3eex7mkTIkjIqo6U/g2d27qijdDPAEAH2yOxZ2sAokjIoNJzA4ePIhRo0bh6NGjiIyMRFFRETp37oycnBxNmwkTJuD333/H5s2bcfDgQSQlJeG1117TrC8pKUH37t1RWFiII0eO4IcffsDatWsxc+ZMTZvExER0794dHTt2RExMDMaPH4+3334bu3fv1rTZuHEjJk6ciFmzZuHUqVPw9/dHWFgYUlN5tGGqRJ7LLOfNEE+ENnFGYbEaYzacQl5hidQhEVEFPuzWBL6uNribXYhJm2OhZskmSRlMYhYREYFhw4ahadOm8Pf3x9q1a3H9+nWcPHkSAJCRkYFvv/0WS5cuxUsvvYSgoCB8//33OHLkCI4ePQoA2LNnD86dO4effvoJAQEB6Nq1K+bNm4fVq1ejsLB0kvKXX34JLy8vLFmyBE2aNMHo0aPRt29fLFu2TBPL0qVLMXLkSAwfPhx+fn748ssvYWlpie+++67mO4b0iikcYVeWIAhY2NcfzjZKXLmTg7nbz0kdEhFVQGUux6pBgVCayXDo4h18+1ei1CGZNINJzB6VkZEBAHB0dAQAnDx5EkVFRQgNDdW08fX1hYeHB6KiogAAUVFRaN68OVxcXDRtwsLCkJmZibNnz2raPLyNB20ebKOwsBAnT54s00YmkyE0NFTThkyPiUxJqTJHq9KSTYIAbDh+HTvP3JY6JKJKM6WpCQ1dbDDzFT8AwMLd8ThzM0PiiEyXmdQBVIdarcb48ePRtm1bNGvWDACQnJwMhUIBe3v7Mm1dXFyQnJysafNwUvZg/YN1T2qTmZmJvLw83L9/HyUlJRW2iY9//FUtBQUFKCj499x9ZmbpnJuioiIUFWmvLMaDbWlzm/R0arH0UvOSkhL2/SOe87TDu+298OWhREz7+TT8XK1Q195CK9vm510axt7vxSWlp93VarVevUdd93u/QDccvJCKPedSMXr9Kfzyn+dhrTTINEGrHu13XX8mDLLHR40ahbi4OPz1119Sh1Jp8+fPx5w5c8ot37NnDywtLbX+epGRkVrfJj1eSooMgAwXLsRjZ8Z5qcPRO43UgKe1HNeyizH8q0MY07QEci0ORvDzLg1j7ffzSQIAOW7duoWdO29IHU45uuz3Fy2B4wo5rqXl4t01f2CID+9v9sCDfs/N1W09YINLzEaPHo3t27fj0KFDqFevnma5q6srCgsLkZ6eXmbULCUlBa6urpo2j149+eCqzYfbPHolZ0pKCmxtbWFhYQG5XA65XF5hmwfbqMj06dMxceJEzd+ZmZlwd3dH586dYWtrW4UeeLKioiJERkbi5Zdfhrm5uda2S0+2Iz0auHcHvr6+6NbGS+pw9FJA21z0XH0UiVnFSLRohLEv+TzzNvl5l4ax9/vtw1fx67WLqFe3Lrp1ay51OBo11e+e/ml447u/cfyODANe8EdPfzedvZYheLTfH5zx0hWDScxEUcSYMWOwbds2HDhwAF5eZXd+QUFBMDc3x969e9GnTx8AwIULF3D9+nWEhIQAAEJCQvDpp58iNTUVzs7OAEozYFtbW/j5+Wna7Ny5s8y2IyMjNdtQKBQICgrC3r170atXLwClw9179+7F6NGjHxu/UqmEUqkst9zc3FwnXzBdbZcqJpOVTtc0k8vZ74/h7WyHT3s3w7jwGKw+kIB2DZ0R7F1LK9vm510axtrvD77PMplML9+frvu9bUMXjHmpIVbsvYRZv5/Hc15O8Kil/TM7huZBv+v6M2Ewk/9HjRqFn376CevXr4eNjQ2Sk5ORnJyMvLw8AICdnR1GjBiBiRMnYv/+/Th58iSGDx+OkJAQPP/88wCAzp07w8/PD2+88QZiY2Oxe/duzJgxA6NGjdIkTe+99x4SEhIwZcoUxMfH43//+x82bdqECRMmaGKZOHEivv76a/zwww84f/483n//feTk5GD48OE13zGkF0zlhpTP6tWAuugbVA/qf0o2peeyZBPpMdOZ+1/OmJd88Fx9B2QXFGNMeDSKSnhKs6YYTGL2xRdfICMjAy+++CLc3Nw0j40bN2raLFu2DD169ECfPn3QoUMHuLq6YuvWrZr1crkc27dvh1wuR0hICF5//XW8+eabmDt3rqaNl5cXduzYgcjISPj7+2PJkiX45ptvEBYWpmkzYMAALF68GDNnzkRAQABiYmIQERFR7oIAIipvTs+m8HKywu2MfEz7+QyTWiI9ZCaXYfnAQNiqzBB7Ix1LIy9KHZLJMKhTmU+jUqmwevVqrF69+rFtPD09y52qfNSLL76I6OjoJ7YZPXr0E09dkokyocvrq8tKaYZVgwLR+3+HEXE2GeuPX8eQYE+pwyLS4LFCqbr2FvisTwv8Z90pfHnwCtr5OKGtj5PUYRk9gxkxI9Jn/B2vmmZ17TC1iy8AYO7v53AxJUviiIjKE0z5XOY/ujV3w6DWHhBFYMLGGNzLZskmXWNiRqRF/BmvvLfaeuGFRrVRUKzGmPXRyC9iySYifTSzhx98nK2RmlWAyVtOc/qBjjExI9IC/k5VnUwmYHE/fzhZK3EhJQv/3cn7v5F+4Ne5LAuFHCsHBkJhJsO++FSsPXJV6pCMGhMzIpJMbRsllvb3BwD8GHUNe84mSxwR0b84ZfRffnVs8VG3JgCA+TvjcS5Jt/fyMmVMzIi0iD/kVdehUW2808EbADDl59O4nZEncUREVJE3QzwR2sQZhSVqjNlwCrmFxVKHZJSYmBGR5D7o3BjN69ohPbcIEzbGoETNk0kkHU5NqJggCFjY1x8utkpcuZODub+fkzoko8TEjEiLeBVX9SjMZFg5KBBWCjmOJqThiwOXpQ6JiN/mCjhaKbCsfwAEAQg/cQM7Tt+WOiSjw8SMSAt4ldKz83KywtxXmwEAlv1xCSev3Zc4IjJVIqf/P1EbHyf858UGAIBpW0/j5n3dFvU2NUzMiEhvvNayLnoF1EGJWsTYDdHIyCuSOiQiqsD40EYIcLdHVn4xxoXHoJglm7SGiRmRFnHy/7MRBAHzejWDh6MlbqXn4aNtLNlE0uH3+fHM5TKsGhQIG6UZTl67j5V7L0kdktFgYkakBUwdtMdGZY6VgwJhJhOw/fRtbP77ptQhkYnhsUDluDta4pPepdMPPt9/GUcT7kkckXFgYkakRTzA1o4Ad3tM6twYADDrt7O4nJotcUREVJFXA+qib1A9qP8p2XQ/p1DqkAweEzMiLeARtva928Eb7XyckFdUgrEbolFQzJJNVLN4lXXlzOnZFF5OVridkY+pP7Nk07NiYkZEekkmE7C0vz8crRQ4dzsTC3ZdkDokIqqAldIMqwYFwlwuYM+5FKw7dl3qkAwaEzMiLeJkYe1ytlVhcb8WAIDvDidif3yqxBGRKeH3ufKa1bXD1C6+AIB528/hQnKWxBEZLiZmRFrA+x7pzku+Lhjetj4A4IPNsUjNzJc2ICKq0FttvfBCo9ooKC4t2ZRfxOkH1cHEjEireIitC9O6+sLPzRb3cgoxcVMs1CzZRDrEOVLVI5MJWNzPH07WSlxMycYnO1iyqTqYmBFpAX/HdUtpJsfKQYGwMJfjr8t38dWfCVKHRCaApzKrrraNEkv7+wMAfjp6HbvPJksckeFhYkZEBsHH2Rqze/oBABbvvoCYG+nSBkREFerQqDbe6eANAJiy5TSS0vMkjsiwMDEj0iIeYetW/1bu6N7CDcVqEePCo5GVXyx1SGSEOAL+7D7o3BjN69ohI68IEzbGoITTDyqNiRmRFvAnp2YIgoD/9m6OuvYWuHYvF3O2n5c6JDJqPNKqLoWZDCsHBcJKIcexxDT8b/9lqUMyGEzMiMig2FmYY+WgAMhlAn6NvY0Td7jzJO3igZZ2eDlZYe6rpSWblu+9hL+vpkkckWFgYkakDf/8kjNFqBlBno4Y36khAGBzggzX7uVKHBERVeS1lnXRK6AOStQixoXHICOvSOqQ9B4TMyIySP/p6IPW9R1QoBYwYfNpFBarpQ6JjAznjD47QRAwr1czeDha4lZ6Hj7ceoa3I3kKJmZEWsQf8pojlwlY3Lc5LM1EnLmViSV7WLKJtIN5g3bZqMyxclAgzGQCdpy5jU1/35A6JL3GxIxIC3jnf2m42akwqEHpSNmaQwk4dPGOxBERUUUC3O0xqXNjAMDs387hcipLNj0OEzMiMmgtHEUMae0OAJi4KRZ3swskjoiMBQfAtevdDt5o5+OEvKISjNkQw5JNj8HEjEgLRM3kf/6US2Fal0Zo7GKDu9kFmMSSTfSMOAKuGzKZgKX9/eFopcD525lYEBEvdUh6iYkZERk8lXlpySalmQwHL97Bd4cTpQ6JjADnjGqfs60Ki/u1AAB8f/gq9p5PkTgi/cPEjEiL+EMuncauNvi4R2nJpgUR8Yi7lSFxRERUkZd8XTC8bX0AwOQtp5GamS9tQHqGiRmRFvDEh34YEuyBzn4uKCoRMXZDNHIKWLKJqo5XZeretK6+8HOzRVpOISZsiuH0g4cwMSMioyEIAhb2bQE3OxUS7uZg9m9npQ6JDBjnjOqO0qx0+oGFuRyHL9/DmkMJUoekN5iYEWmByDv/6w17SwWWDQiATAA2n7yJ32KTpA6JiCrg42yN2T1Lpx8s2XMBMTfSpQ1ITzAxIyKj87x3LYzu6AMA+GjrGdxIY8kmqjyeVKs5/Vu5o3sLNxSrS6cfZOWzZBMTMyJt4ux/vTG2U0MEeTogq6AYY8OjUVTCkk1UNfw6654gCPhv7+aoa2+B62m5mPFLnMmXbGJiRqQFvO+R/jGTy7BiYABsVGaIvp6OFX9ckjokMhQmnhjUNDsLc6wcFAC5TMCvMUnYeuqW1CFJiokZERmteg6W+Oy10nsmrT5wGUeu3JU4IiKqSJCnI8Z3aggA+PjXOCTezZE4IukwMSPSIp750D/dW7hh4HPuEEVgwsYYpOUUSh0SGQh+n2vWfzr6INjLEbmFJRi7IRqFxaY5/YCJGZE28MyHXpv5ih8a1LZCSmYBpmyJNfk5LPRk/HRIQy4TsHxgAOwtzXHmVgYW77kgdUiSYGJGpEWcLKyfLBVmWDWoJRRyGf44n4r/O3pN6pCIqAJudhZY0Kd0+sFXhxJw8OIdiSOqeUzMiLSAR9j6z6+OLaZ38wUAfLLjPM7fzpQ4ItJ3Ao+0JBHW1BVvPO8JAJi0KRZ3sgokjqhmMTEjIpMxrE19vOTrjMJiNcZsiEZeYYnUIZEe4plu6X3UvQkau9jgbnYBPtgca1Ilm5iYEWkRj6/1myAIWNS3BZxtlLicmo15O85JHRIRVUBlLseqwYFQmslw8OIdfHc4UeqQakyVE7Pi4mL8+OOPSElJ0UU8RAaJk8kNRy1rJZYNCIAgAOuPXceuM7elDomIKtDIxQYf9ygt2bQgIh5xtzIkjqhmVDkxMzMzw3vvvYf8/HxdxENk0DgnxTC09XHCey80AABM/fk0bqXnSRwR6RPeMFp/DAn2QFhTFxSViBizIRo5BcVSh6Rz1TqV2bp1a8TExGg5FCLDxZ9xwzPx5Ubwd7dHZn4xxodHo5glm+gRPM6SniAIWNCnBdzsVEi8m4NZv52VOiSdq1Zi9p///AcTJ07E559/jqioKJw+fbrMg4hI35nLZVg1MBDWSjOcuHofn++/LHVIRFQBe0sFlg0IgEwAtpy8iV9jjLtkk1l1njRw4EAAwNixYzXLBEGAKIoQBAElJbzSiUwTD7ANi0ctS3zauxnGhcdg5d5LaNPACa29HKUOiyTGKaP653nvWhj9UkOs3HsJM7bFIdDdAR61LKUOSyeqNWKWmJhY7pGQkKD5L5Gp4Q+54Xo1oC76tKwHtQiMD49GRm6R1CGRnhB4qKVXxr7kg1aeDsgqKMbY8GgUGen0g2olZp6enk98EJkqzkkxTHNebQovJyskZeRj2tbTvMrWxPH/vn4yk8uwfGAAbFRmiLmRjmWRF6UOSSeqdSrzgXPnzuH69esoLCxbFLhnz57PFBSRoeEPuWGzVpph5cBAvPbFYeyKS8aG4zcwONhD6rCI6BH1HCzx2WstMGr9KXxx8Ara+TihjY+T1GFpVbUSs4SEBPTu3RtnzpzRzC0D/r1VAOeYEZGhaV7PDlPCfPHpzvOYu/0snqvvgIYuNlKHRRLiCLh+6t7CDX9ddseG4zcwfmMMIsZ3gKOVQuqwtKZapzLHjRsHLy8vpKamwtLSEmfPnsWhQ4fQqlUrHDhwQMshEhHVjBHtvNChUW3kF5WWbMov4kGmKeKZbP33cQ8/NKhthdSsAkzZEmtU0w+qlZhFRUVh7ty5cHJygkwmg0wmQ7t27TB//vwyV2oSmQpj+lEwZTKZgCX9/OFkrUB8chbm7zwvdUhEVAFLhRlWDWoJhVyGP86n4seoa1KHpDXVSsxKSkpgY1M6xO/k5ISkpCQApRcFXLhwQXvR6bnVq1ejfv36UKlUCA4OxvHjx6UOiSTGO/8bvto2SizpHwAA+CHqGiLPsfycqeK3Wb/51bHFh918AQCf7jyPc0mZEkekHdVKzJo1a4bY2FgAQHBwMBYuXIjDhw9j7ty58Pb21mqA+mrjxo2YOHEiZs2ahVOnTsHf3x9hYWFITU2VOjQiekYvNKqNke29AACTt8QiOYMl6EwJSzIZjqFt6qOTrzMKi9UYs+EUcgsNv2RTtRKzGTNmQK0uvX/I3LlzkZiYiPbt22Pnzp1YuXKlVgPUV0uXLsXIkSMxfPhw+Pn54csvv4SlpSW+++47qUMjIi2YHOaL5nXtkJ5bhAkbY1Ci5s7a1HAAXP8JgoCFfVvA2UaJK3dyMG/7OalDembVuiozLCxM828fHx/Ex8cjLS0NDg4OJnEqp7CwECdPnsT06dM1y2QyGUJDQxEVFVXhcwoKClBQUKD5OzOzdMj177//hrW1tdZiO3YzF7/E5sGx1jEoFcZzlYq+y8rKAgBcuXwJxwuTJI7GdBQVFeHKlSs4fvw4zM3Ntb79t5vKMCUZiEq4h49+OoDXfK20/hqGSNf9LrXbt7NL/5ucjOPHsyWO5l/G3u/P4l1/FT75qwAbjt+Am5CB5+sqtbbtR/s9O1vHnwnxGVy6dEmMiIgQc3NzRVEURbVa/SybMxi3bt0SAYhHjhwps3zy5Mli69atK3zOrFmzRJTe7kpnD5nKWnQfv0n0nLpdtGszUOevx8e/D5chC0TPqdtFi0YhksfCh3YfVs1eEj2nbhc9Jv8qKur4Sh4PH7p/2L84XPScul207/iW5LHwUYX/bx3eFD2nbhfrjQsX5ba1df56GRkZOskxBFGs+uVk9+7dQ//+/bF//34IgoBLly7B29sbb731FhwcHLBkyZKqbtKgJCUloW7dujhy5AhCQkI0y6dMmYKDBw/i2LFj5Z5T0YiZu7s79u7dq9URs/2JOfgiOhcCgDkv2MO3Fo+qasKM/Wm4eL8E41tZoo0HR1VqSlFREY4dO4bg4GCdjSCIoohVf2fhrxsFqG0pw6JODrA0r9YsEKNRE/0upZ/OZOO3S3l4paEF3miuvd/nZ2Xs/f6sitUiZh1Mx6X7xWhcywyz29tDLnv2s3iP9nt2djY6deqEjIwM2NraaiHysqp1KnPChAkwNzfH9evX0aRJE83yAQMGYOLEiUafmDk5OUEulyMlpezVWikpKXB1da3wOUqlEkpl+aHVVq1aafV/bGBgEf6+EYETd2VYE1uAnWNbw86SX2Bds/77MHA/HQ0bNkRr/3pSh2MyioqKcPfuXbRu3VqnOyo//yJ0W/knbqTlYcs1BVYNCjSJaRuPU1P9LpW9d88DlxLg5uaG1q2bPP0JNcTY+10bvm2Yi24r/8SFe8U4muWACS83euZtPtrvD6Yi6Uq1Dvv27NmDBQsWoF69sjughg0b4to147mXyOMoFAoEBQVh7969mmVqtRp79+4tM4Imlb7eang4WuBWeh6mb2PdP6JnZaMyx8qBgTCTCdh++jY2n7wpdUikQ/zFNFwetSzxae9mAIBV+y7hWMI9iSOqumolZjk5ObC0tCy3PC0trcJRIWM0ceJEfP311/jhhx9w/vx5vP/++8jJycHw4cOlDg0qObCsXwuYyQTsPJOMjSduSB2SyRB45yOjFejhgImdS4++Z/16Flfu6M+kcNINfpsN06sBddGnZT209XGCV23Dm1pSrcSsffv2+PHHHzV/C4IAtVqNhQsXomPHjloLTp8NGDAAixcvxsyZMxEQEICYmBhERETAxcVF6tAAAC3q2WFyWGMAwOzfz+JyapbEERk3jkqahvc6NEBbn1rIKyrB2A3RKChmySZjxO+z4fu0dzP8MLw1nG1UUodSZdVKzBYuXIivvvoKXbt2RWFhIaZMmYJmzZrh0KFDWLBggbZj1FujR4/GtWvXUFBQoJkYqE9GtvdG+4ZOyC9SY/R61v0jelYymYCl/QPgYGmOs0mZWBhhOpVOiAyJylwOmRYm/kuh2nf+v3jxItq1a4dXX30VOTk5eO211xAdHY0GDRpoO0aqJplMwJL+/qhlVVr377Nd8VKHZLQeHF+b8Hxwk+Fiq8Lifv4AgG//SsT+C6z2YbT4fSYJVOuqTACws7PDRx99pM1YSAecbUp3IsPXnsDaI1fRzscJoX76cbqVyFB1auKCYW3qY+2Rq/hgUyx2jW9vkKdMqGI8k0lSqnZilp6ejuPHjyM1NVVTnumBN99885kDI+3p6OuMEe288O1fiZi8JRYR4zvAxZY7EV3gAbbpmNbVF8cS03D+diYmbYrFD8NbG+ypEyLSH9VKzH7//XcMGTIE2dnZsLW1LXM/H0EQmJjpoSldGuNowj2cTcrEhI0x+L8RwVq58R6V4hG26VGZy7FqUAB6rPoLf166i6//TMC7L3AqhzHhVdYkhWrNMZs0aRLeeustZGdnIz09Hffv39c80tLStB0jaYHSTI6VgwJhYS7HkSv3sObQFalDIjJ4Ps42mP1KUwDAot0XEHsjXdqASCt4nEVSqlZiduvWLYwdO7bCe5mR/mpQ2xpzXi3diSzZcxGnrt+XOCLjIT74KecBtskZ8Jw7ujV3RbFaxNjwaGQXFEsdEmkJL+YhKVQrMQsLC8Pff/+t7VioBvQLqoceLdxQohYxLjwamflFUodEZNAEQcD83i1Q194C1+7lYuYvcVKHREQGrNJzzH777TfNv7t3747Jkyfj3LlzaN68ebmaXT179tRehKRVgiDg097NEXMjHTfS8jBjWxxWDAww6bp/2sR+NE12luZYMTAA/ddEYWv0LbRv5ITegayZaqg4Z5SkVOnErFevXuWWzZ07t9wyQRBQUsIbmeozOwtzrBgYiP5rovBbbBI6NKqNvkHciTwT/pCbvFb1HTE+tBGWRl7EjG1xaOnhAM9ahlcOhv7FwyySQqVPZarV6ko9mJQZhiBPB0x8ubTu38xf45DAun9Ez2xURx+09nJETmFpyabCYvXTn0RE9JAqzTGLiorC9u3byyz78ccf4eXlBWdnZ7zzzjsoKCjQaoCkO++90ADPezsit7AEY8NZ9+9ZaO78L2kUJDW5TMDyAQGwszBH7M0MLIlkySZDJHIInCRUpcRszpw5OHv2rObvM2fOYMSIEQgNDcW0adPw+++/Y/78+VoPknSjdCcSCHtLc8TdysTi3dyJED2rOvYWWNCnBQBgzcEE/HnpjsQRUXVxyihJoUqJWWxsLDp16qT5Ozw8HMHBwfj6668xceJErFy5Eps2bdJ6kKQ7rnYqLOpbWvfv6z8TcYB1/54Jf8gJALo0c8WQYA8AwMRNsbibzTMJhoST/0lKVUrM7t+/DxeXf+ssHjx4EF27dtX8/dxzz+HGjRvai45qxMt+LngzxBMA8MHmWNzJ4k6kqvhDTo/6uIcfGrlY405WASZvjoXIDwkRVUKVEjMXFxckJiYCAAoLC3Hq1Ck8//zzmvVZWVnlbp1BhuHDbk3g62qDu9mFmLQ5Fmo1dyJEz6K0ZFNLKM1k2H/hDr4/fFXqkKiKWJKJpFClxKxbt26YNm0a/vzzT0yfPh2WlpZo3769Zv3p06fRoAFrxRmi0p1IIFTmMhy6eAff/pUodUgGiT/j9LDGrjaY0b0JAOCzXfGIu5UhcUREpO+qlJjNmzcPZmZmeOGFF/D111/j66+/hkKh0Kz/7rvv0LlzZ60HSTWjoYsNZvYoLdm0cHc8ztzkTqSyeBUXPc7rz3viZT8XFJaoMXZDNHJYsomInqBKiZmTkxMOHTqkKVjeu3fvMus3b96MWbNmaTVAqlmDWrujS1NXFJWIGLPhFOv+VRHv/E+PEgQBC/u0gKutCgl3czDn97NPfxLpBX6dSQrVqpVpZ2cHuVxebrmjo2OZETQyPIIg4LM+zVHHToWr93Ix61fuRCqD87rpSRysFFg+MACCAGz6+yZ+j02SOiR6Al6oQVKqVmJGxs3eUoHlAwMhE4CfT93ErzG3pA6JyOA9710Lozv6AAA+3HoGN9JyJY6InoYDZiQFJmZUodZejhjzUkMAwEfb4nD9HncilcEfcnqScZ0aoqWHPbIKijEuPBrFJSzZRERlMTGjxxrzkg+eq++A7IJijAmPRhF3Io/FMx9UGWZyGVYMDISNygynrqdjxd5LUodEFeDXmaTExIwey0wuw/KBgbBVmSH2RjqWRl6UOiT9xyEzegp3R0vMf605AODz/ZcRdeWexBHRY3H2P0mAiRk9Ud2H6v59efAKDl++K3FE+olH2FQVPVrUwYBW7hBFYPzGaKTlFEodEhHpCSZm9FRdm7thUGsPiCIwYWMM7rHuH9Ezm9XTD961rZCSWYApW07zSkA9wv8VJCUmZlQpM3v4wcfZGqlZBZjMnchjsYQLVZalwgyrBgVCIZfhj/Mp+OnoNalDokfw20xSYGJGlWKhKC3ZpDCTYV98KtYeuSp1SPqFiSpVQ9M6dpjW1RcAMG/HecQnZ0ocERFJjYkZVVoTN1t81K207t/8nfE4l8SdyKM4V5iqanjb+njJ1xmFxWqMWR+NvMISqUMyeSyxRlJiYkZV8maIJ0KbOKOwRI0xG04ht5AlmwBO/qfqEwQBi/q2QG0bJS6lZuOTHeekDon+wQMtkgITM6oSQRCwsK8/XGyVuHInB3N/506E6FnVslZiWf/Skk3rjl1HRNxtqUMyaZyZQFJiYkZV5milwLIBpTuR8BM3sOM0dyIP8ACbqqtdQye826EBAGDqz2eQlJ4ncUREJAUmZlQtbRo44T8vlu5Epm09jZv3TbtkE4+wSRsmdW4Ef3d7ZOQVYXx4DErU/GBJiVdZkxSYmFG1jQ9thEAPe2TlF2NceAzr/oFzUujZmMtlWDkwANZKMxy/mobP912WOiSTxHSYpMTEjKqtdCcSCBulGU5eu4+VJlz3j1dxkbZ41rLCJ72aAQBW7L2IE1fTJI6IiGoSEzN6Ju6Olvj0obp/RxNY94/oWfUKrIvXWtaFWgTGbYhGRm6R1CGZJI6AkxSYmNEz6+lfB/2C6kH9T8mm+yZc949zUkhb5r7aDPVrWSIpIx/TtrLaRk1iV5OUmJiRVszu2RTeTla4nZGPqT+b3k7ExN4u1QBrpRlWDgqEuVzArrhkhJ+4IXVIJoeHWSQFJmakFVYP7UT2nEvBumPXpQ5JEjz1QdrUop49Joc1BgDM+f0sLqVkSRwREekaEzPSmmZ17TC1yz91/7afw4Vk09mJcMCMdOXtdt5o39AJ+UVqjNkQjfwilmzSPX6jSTpMzEir3mrrhRcb10ZBcWnJJu5EiJ6NTCZgSX9/OFkrEJ+chc92xUsdksngCDhJgYkZaZVMJmBxP384WStxMSUbn+44L3VIRAbP2UaFRf38AQBrj1zFH+dSJI6IiHSFiRlpnZO1Ekv7l+5E/u/oNew+myxxRLrHyf+kax0bO+Ptdl4AgMlbYpGSmS9xRMaL32eSEhMz0okOjWrj3Q7eAIApW06bTN0/nvogXZrcpTGa1rHF/VyWbKoJAr/QJAEmZqQzkzo3Rot6dsjIK8KEjca+EzHm90b6Qmkmx6pBgbBUyBGVcA9fHrwidUhGiSNmJCUmZqQzCrPSkk1WCjmOJabhf/tZ94/oWXnXtsacnk0BAEsjL+LU9fsSR0RE2sTEjHSqvpMV5v1T92/53kv428jr/vHO/1QT+gbVQ0//OihRixgXHo3MfJZsIjIWTMxI515rWQ+9A+v+sxOJQUae8e1EeOqDapIgCPikdzPUc7DAjbQ8fLQtzuSqbeiSyKkJJCEmZlQj5r7aFB6OlriVnocPt57hToToGdmqzLFyUCDkMgG/xyZhy8mbUodERFrAxIxqhM0/OxEzmYAdZ25j09/GVffvQZrJi7ioJrX0cMDElxsBAGb9dhYJd7Iljsi48PtMUmBiRjUmwN0eH/xT92/2b+dwOZU7EaJn9d4LDRDiXQu5hSUYsyEaBcWstvGsOKBPUmJiRjXqnfbeaOfjhLyiEqOs+8cDbKppcpmAZQMC4GBpjrNJmVgUcUHqkIwGL+YhKTAxoxolkwlY2t8fjlYKnL+diQURxlH3j0fYJCVXOxUW9S2ttvHNX4k4cCFV4oiIqLqYmFGNc7ZVYck/df++P3wV++JZ94/oWYX6uWBoiCcA4IPNsUjNYsmm6uJxFkmJiRlJoqOvM95qW1r374PNp5Fq4HX/HlxezxIuJKXp3ZrA19UGd7MLMWlTLNRGXW1D9/h1JikYRGJ29epVjBgxAl5eXrCwsECDBg0wa9YsFBYWlml3+vRptG/fHiqVCu7u7li4cGG5bW3evBm+vr5QqVRo3rw5du7cWWa9KIqYOXMm3NzcYGFhgdDQUFy6dKlMm7S0NAwZMgS2trawt7fHiBEjkJ3NiexVNbVrY/i52SItpxATNsVwJ0L0jFTmpSWbVOYy/HnpLr75K0HqkIioigwiMYuPj4darcaaNWtw9uxZLFu2DF9++SU+/PBDTZvMzEx07twZnp6eOHnyJBYtWoTZs2fjq6++0rQ5cuQIBg0ahBEjRiA6Ohq9evVCr169EBcXp2mzcOFCrFy5El9++SWOHTsGKysrhIWFIT//3xGdIUOG4OzZs4iMjMT27dtx6NAhvPPOOzXTGUZEaSbHykGBsDCX4/Dle1hzyPB3IjzAJqk1dLHBrFdKSzYt2n0Bp2+mSxuQAeKcUZKSQSRmXbp0wffff4/OnTvD29sbPXv2xAcffICtW7dq2qxbtw6FhYX47rvv0LRpUwwcOBBjx47F0qVLNW1WrFiBLl26YPLkyWjSpAnmzZuHli1b4vPPPwdQOlq2fPlyzJgxA6+++ipatGiBH3/8EUlJSfjll18AAOfPn0dERAS++eYbBAcHo127dli1ahXCw8ORlJRUo/1iDHyc/637t2TPBcTcSJc2oGriDznpk4HPuaNrM1cUlYgYuyEa2QXFUodkkHigRVIwkzqA6srIyICjo6Pm76ioKHTo0AEKhUKzLCwsDAsWLMD9+/fh4OCAqKgoTJw4scx2wsLCNElXYmIikpOTERoaqllvZ2eH4OBgREVFYeDAgYiKioK9vT1atWqlaRMaGgqZTIZjx46hd+/eFcZbUFCAgoICzd+ZmZkAgKKiIhQVaa9E0YNtaXObutbL3wUHLrhgZ1wKxqw/hV//EwIblaF9NEszs+LiYoPqe0NniJ/3mjKvZxPE3EjH1Xu5+HjbaSzs01xr2zb2flerS2/jU6Iu0av3aOz9rq8e7Xdd97+h7f0AAJcvX8aqVauwePFizbLk5GR4eXmVaefi4qJZ5+DggOTkZM2yh9skJydr2j38vMe1cXZ2LrPezMwMjo6OmjYVmT9/PubMmVNu+Z49e2BpafnE91sdkZGRWt+mLrW3AI4q5bhxPw8j1/yBN3zUBjXxNjdXDkDAiRPHccc47gBiUAzt815T+tUDVmXIsS3mNqyzb6JVbe0O7Rprv9+8JQMgQ/z5eOzMPC91OOUYa7/ruwf9npubq9PXkTQxmzZtGhYsWPDENufPn4evr6/m71u3bqFLly7o168fRo4cqesQtWb69OllRusyMzPh7u6Ozp07w9bWVmuvU1RUhMjISLz88sswNzfX2nZrgndAOgZ/ewIn78owoEML9A6sI3VIlbbo/CGgIB+tW7dGKy8nqcMxGYb8ea8x+65g5f4r2HpDgaGvhMDT8dkPBI293w/8fAYn7txGkyZN0K1dfanD0TD2ftdXj/b7gzNeuiJpYjZp0iQMGzbsiW28vb01/05KSkLHjh3Rpk2bMpP6AcDV1RUpKWXvh/Xgb1dX1ye2eXj9g2Vubm5l2gQEBGjapKaWvXljcXEx0tLSNM+viFKphFKpLLfc3NxcJ18wXW1Xl4Ib1MaE0IZYvOci5mw/j+e8neDlZCV1WJXzz/CemZmZwfW7MTDEz3tNGRvaCEcT7+P41TRM2nwGm99rA4WZdqYXG2u/C0Jp/8jlMr18f8ba7/ruQb/ruu8lnfxfu3Zt+Pr6PvHxYM7YrVu38OKLLyIoKAjff/89ZLKyoYeEhODQoUNlzv1GRkaicePGcHBw0LTZu3dvmedFRkYiJCQEAODl5QVXV9cybTIzM3Hs2DFNm5CQEKSnp+PkyZOaNvv27YNarUZwcLAWe8c0vf+iD573dkROYQnGbohGYbFa6pAqh7P/SU+ZyWVYNjAAdhbmiL2ZgaWRF6UOiYiewCCuynyQlHl4eGDx4sW4c+cOkpOTy8zpGjx4MBQKBUaMGIGzZ89i48aNWLFiRZnTh+PGjUNERASWLFmC+Ph4zJ49G3///TdGjx4NoPTmoOPHj8cnn3yC3377DWfOnMGbb76JOnXqoFevXgCAJk2aoEuXLhg5ciSOHz+Ow4cPY/To0Rg4cCDq1DGcU2/66kHdP3tLc5y5lYHFe1j3j+hZ1bW3wIJ/Jv+vOXQFf126K3FEhoG1MkkKBpGYRUZG4vLly9i7dy/q1asHNzc3zeMBOzs77NmzB4mJiQgKCsKkSZMwc+bMMvcXa9OmDdavX4+vvvoK/v7+2LJlC3755Rc0a9ZM02bKlCkYM2YM3nnnHTz33HPIzs5GREQEVCqVps26devg6+uLTp06oVu3bmjXrl25U6tUfW52FljYpwUA4KtDCTh08Y7EEVUe7/xP+qpLMzcMDvaAKAITNsXgXnbB059kojj+TVIyiKsyhw0b9tS5aADQokUL/Pnnn09s069fP/Tr1++x6wVBwNy5czF37tzHtnF0dMT69eufGg9VX+emrnjjeU/839FrmLgpFrvGtUdtm/Jz9PQFf8jJEHzc3Q8nEtNwKTUbk7ecxrdDW/Fg4gnYNSQFgxgxI9P0UfcmaOxig7vZBfhgs2HU/ePvOOkzC4UcqwYHQmEmw774VKw9clXqkIjoEUzMSG+pzEt3IkozGQ5evIPvDidKHdJjce4/GQpfV1vM6N4EADB/ZzzOJmVIHJH+EfmFJgkxMSO91sjFBjNf8QMALIiIR9wt7kSIntUbz3sitIkLCkvUGLMhGrmFLNlEpC+YmJHeG9zaA12altb9G7MhGjl6XPePc1LIEAiCgEV9W8DVVoWEOzmY89s5qUMion8wMSO9JwgCPuvTHG52KiTezcGs385KHVI5PPFBhsbBSoGlA/whCMDGv29g++kkqUPSG/w+k5SYmJFBsLdUYPmAAMgEYMvJm/g15pbUIVWI9z0iQ9KmgRNGvegDAJi+9QxupOm2BqCh4RWrJAUmZmQwgr1rYfRLDQEAM7bF4fo9/dmJcLIwGapxoQ3R0sMeWfnFGBcejeISA6m2oUP8OpOUmJiRQRn7kg9aeTogq6AYY8OjUcSdCNEzMZfLsGJgIGyUZjh1PR0r916SOiQik8bEjAyKmVyG5QMDYKsyQ8yNdCz/Q7/q/vHMBxkid0dL/Pe10pJNq/ZfRtSVexJHpB/4dSYpMDEjg1PPwRKf/VOy6X8HruDIZenr/vHMBxm6V/zroH+reqUlmzbG4H5OodQhSYbfZ5ISEzMySN2au2FQa3eIIjB+YwzSTHgnQqQts3s2hXdtKyRn5mPqz6c5d5JIAkzMyGDN7NEUPs7WSM0qwJQtsdLuRLj/IiNgqTDDyoGBUMhl2HMuBT8duy51SJLi1ASSAhMzMlgWCnnpTsRMhj/Op+LHqGtSh0Rk8JrVtcPUrr4AgHnbzyE+OVPiiGoeRwpJSkzMyKD51bHFh//sRD7deR7nkqTdifAIm4zBW23ro2Pj2igsVmPshmjkF5VIHZIk+HUmKTAxI4M3tE19dPJ1RmGxGmM2nEJeYc3vRHh8TcZEEAQs6ucPJ2slLqZk45MdLNlEVFOYmJHBe7ATcbZR4sqdHMzdLt1OhHf+J2PhZK3EsgH+AICfjl5HRFyyxBHVHB5okZSYmJFRcLQqLdkkCMCG49ex88ztGn19zkkhY9S+YW28+4I3AGDqz6eRlJ4ncUQ1iyWZSApMzMhotPFxwvsvNAAATPv5NG6Z2E6ESBcmvdwY/vXskJFXhPEbY1Ci5kEIkS4xMSOjMuHlRghwt0dmfjHGS1D3jwfYZGwUZjKsHBQIK4UcxxPTsHr/ZalD0j3mniQhJmZkVMzlMqwcGAhrpRlOXL2PVftqZifC33EyZp61rPBJ72YAgOV/XMTJa/cljqhm8ECLpMDEjIyORy1LfPrPTmTVvks4nphWY6/N33EyVr0D6+G1wLpQi8DEzWeQWyx1RLoj8lCLJMTEjIzSqwF10TeoHtQiMD48Gum5ui3ZxLn/ZArm9moGz1qWSMrIx8YEGS96IdIBJmZktOb0bAovJyskZeRj2s9nuBMhekbWytKSTWYyATH3ZNh88pbUIekUR8BJCkzMyGhZKc2walAgzOUCIs4mY/1x3df945wUMnb+7vaY+LIPAGDeznhcTs2SOCLt4zEcSYmJGRm1ZnXtMLVLacmmub+fw8UU3exEOCeFTMmINvXR2E6N/CI1xmyIMdmSTUS6wMSMjN5bbb3wQqPaKDDxun9E2iKTCRjio4ajlTnO387EZ7vipQ5JNzgEThJgYkZGTyYTsPifun/xyVn4787zWn+NB6c+WJKJTIWdAljwWunVz2uPXMXe8ykSR6Q9PJVJUmJiRiahto0SS/qX1v37Meoa9pw1nbp/RLryYqPaGNHOCwAwectppGTmSxyRdvEwi6TAxIxMxguNauOdDqV1/6b8fBrJGTrYifCXnEzMlC6N0bSOLdJyCjGBJZuInhkTMzIpH3RujOZ17ZCeW4TxG6O5EyF6RkozOVYOCoSFuRxHrtzDmkNXpA7pmfFiHpISEzMyKQ/q/lkq5DiakIYvDphA3T8iHWtQ2xpzXm0KAFiy5yKirxtHySbO/ScpMDEjk+PlZIV5r5ZOWl72xyWt1P37d/I/kWnqF1QPPVq4oUQtYmx4NDLzi6QOicggMTEjk/Ray7roFVCndCeyIRoZedyJED0LQRDwae/mqOdggRtpeZixLc5gq20YaNhkJJiYkUkSBAHzejWDh6MlbqXn4aNt2inZJPDcB5kwOwtzrBgYCLlMwG+xSfj5lGGXbOLtb0gKTMzIZNmozLFiYADMZAK2n76NzX/frPa2OFmYqFSQpwMmhDYEAMz8NQ4Jd7Iljqjq+G0mKTExI5MW6OGASZ0bAwBm/XYWVwxwJ0Kkb95/0QfPezsit7AEY8OjUVisljokIoPBxIxM3rsdvNHWpxbyikowZn00CoqrX7KJJz6IALlMwPIBgbC3NEfcrUws2m2YJZs4M4GkwMSMTJ5MJmBp/wA4Wilw7nYmFuy6UOVtcLIwUVmudios6ltabePrPxNx8OIdiSOqPH6fSUpMzIgAuNiqsLhfCwDAd4cTsT8+tVrb4RE20b9e9nPBmyGeAIBJm2JwJ6tA4oiI9B8TM6J/vOTrguFt6wMAPtgci9Qq1P3jATZRxT7s1gS+rja4m12ISZtjoTagahs8ziIpMDEjesi0rr5o4maLezmFmLjJsHYiRPpIZS7HqkGBUJnLcOjiHXz7V6LUIVUCv/ckHSZmRA9RmpXuRCzM5fjr8l18/WdClZ7PU5lE5TV0scHHPfwAAAt3x+PMzQyJI6ocfp9JCkzMiB7h42yN2T1LdyKLdl9A7I30pz6Hk4WJnmxwaw90aeqKohIRYzacQnZBsdQhEeklJmZEFejfyh3dm7uh+J+6f1mVrPvHO4UTVUwQBHzWpznq2Klw9V4uZv16VuqQHosHWiQlJmZEFRAEAf99rTnq2lvg2r1czHzKToR3/id6OntLBZYPDIRMAH4+dRO/xuh3ySYeaJEUmJgRPYadhTlWDgqAXCZgW/QtbD1V/ZJNRFSqtZcjxrxUWrLpo21xuH4vV+KIiPQLEzOiJwjydMT4TqU7kY9/icPVuzlPfgIPsImeasxLPniuvgOyC4oxJjwaRSX6VbKJ498kJSZmRE/xn44+CPZyRM6T6v7xl5yo0szkMiwfGAhblRlib6RjaeRFqUOqGA+0SAJMzIieQi4TsHxgAOwtzXH6ZgaWRD6+ZBN/x4kqp669BRb0Ka228eXBKzh8+a7EERHpByZmRJXgZvfvTmTNwQQceqTuHwfMiKqua3M3DGrtAVEEJmyMwb1s/SjZJPKyTJIQEzOiSgpr6orXn/cAAEzcFIu7erITITJkM3v4wcfZGqlZBZi85bReJUUcAScpMDEjqoIZ3f3QyMUad7ML8EEFdf94p3CiqrFQlFbbUJjJsC8+FT8cuSp1SBwBJ0kxMSOqgtK6fy2hNJPhwIU7+P6fnYg+HeUTGZombrb4qFsTAMB/d8bjXFKmxBERSYeJGVEVNXa1wYx/6v59tus84m79W/ePN6Qkqp43QzwR2sQZhSVqjNlwCrmF0pdsEjgEThIwuMSsoKAAAQEBEAQBMTExZdadPn0a7du3h0qlgru7OxYuXFju+Zs3b4avry9UKhWaN2+OnTt3llkviiJmzpwJNzc3WFhYIDQ0FJcuXSrTJi0tDUOGDIGtrS3s7e0xYsQIZGdna/29kv56PdgDnf1cUFQiYuyGaBSrOWJG9CwEQcDCvv5wsVXiyp0czNt+TrJYOABOUjK4xGzKlCmoU6dOueWZmZno3LkzPD09cfLkSSxatAizZ8/GV199pWlz5MgRDBo0CCNGjEB0dDR69eqFXr16IS4uTtNm4cKFWLlyJb788kscO3YMVlZWCAsLQ35+vqbNkCFDcPbsWURGRmL79u04dOgQ3nnnHd2+cdIrpTuRFnCzUyHhbg6KSvhLTvSsHK0UWDYgAIIAbDh+AztO35Y6JKIaZ1CJ2a5du7Bnzx4sXry43Lp169ahsLAQ3333HZo2bYqBAwdi7NixWLp0qabNihUr0KVLF0yePBlNmjTBvHnz0LJlS3z++ecASkfLli9fjhkzZuDVV19FixYt8OOPPyIpKQm//PILAOD8+fOIiIjAN998g+DgYLRr1w6rVq1CeHg4kpKSaqQfSD/YW5buRGQPne3gmQ+iZ9OmgRP+82IDAMC0radx8750JZv4dSYpmEkdQGWlpKRg5MiR+OWXX2BpaVlufVRUFDp06ACFQqFZFhYWhgULFuD+/ftwcHBAVFQUJk6cWOZ5YWFhmqQrMTERycnJCA0N1ay3s7NDcHAwoqKiMHDgQERFRcHe3h6tWrXStAkNDYVMJsOxY8fQu3fvCuMvKChAQcG/t1fIzCyd3FpUVISioqKqd8hjPNiWNrdJjxfkbov3X/DG6gMJAICiomL2fQ3i510auu73US944fDlu4i5kYGxG6Kx7q1WMJPX3DiCWl1a3aOkpESvPlv8vEvj0X7Xdf8bRGImiiKGDRuG9957D61atcLVq1fLtUlOToaXl1eZZS4uLpp1Dg4OSE5O1ix7uE1ycrKm3cPPe1wbZ2fnMuvNzMzg6OioaVOR+fPnY86cOeWW79mzp8JE81lFRkZqfZtUsQYi0LKWDNnFQNzxP3GOh9k1jp93aeiy33s6AfFJcpy6no7x3+xBN/eaq6d5544MgAynT8dCeTumxl63svh5l8aDfs/N1e0orqSJ2bRp07BgwYIntjl//jz27NmDrKwsTJ8+vYYi077p06eXGa3LzMyEu7s7OnfuDFtbW629TlFRESIjI/Hyyy/D3Nxca9ulJ+vCfpcEP+/SqKl+t/e5jYmbzyDylgxvdG6NYC9Hnb3Ww7bcOYn4jHvw9/dHt4Dyc5qlws+7NB7t9wdnvHRF0sRs0qRJGDZs2BPbeHt7Y9++fYiKioJSqSyzrlWrVhgyZAh++OEHuLq6IiUlpcz6B3+7urpq/ltRm4fXP1jm5uZWpk1AQICmTWpqapltFBcXIy0tTfP8iiiVynLxA4C5ublOvmC62i49GftdGux3aei6318L8kBUwn1sPnkTk3+Ow65x7WFvqXj6E5/VP5NF5XK5Xn6u+HmXxoN+13XfSzr5v3bt2vD19X3iQ6FQYOXKlYiNjUVMTAxiYmI0t7jYuHEjPv30UwBASEgIDh06VObcb2RkJBo3bgwHBwdNm71795aJITIyEiEhIQAALy8vuLq6lmmTmZmJY8eOadqEhIQgPT0dJ0+e1LTZt28f1Go1goODddBLRESma3bPpvB2ssLtjHxM/blmSzbxYh6SgkFclenh4YFmzZppHo0aNQIANGjQAPXq1QMADB48GAqFAiNGjMDZs2exceNGrFixoszpw3HjxiEiIgJLlixBfHw8Zs+ejb///hujR48GUHoLhPHjx+OTTz7Bb7/9hjNnzuDNN99EnTp10KtXLwBAkyZN0KVLF4wcORLHjx/H4cOHMXr0aAwcOLDC23gQEVH1WSnNsHJQIMzlAnafTcG6Y9elDolIpwwiMasMOzs77NmzB4mJiQgKCsKkSZMwc+bMMvcXa9OmDdavX4+vvvoK/v7+2LJlC3755Rc0a9ZM02bKlCkYM2YM3nnnHTz33HPIzs5GREQEVCqVps26devg6+uLTp06oVu3bmjXrl2Z+6UREZH2NKtrh6ldfAEA87afw4XkLIkjItIdg7gq81H169evcDi7RYsW+PPPP5/43H79+qFfv36PXS8IAubOnYu5c+c+to2joyPWr19f+YCJiOiZvNXWC39dvosDF+5g7IZo/Dq6LVTmcp2+JkuskRSMZsSMiIiMl0wmYHE/fzhZK3EhJQuf7jivs9diSSaSEhMzIiIyCE7WSizt7w8A+L+j17D77OPvHUlkqJiYERGRwejQqDbe7eANAJj682nczsjT2WvxqkySAhMzIiIyKJM6N0aLenZIzy3C+PAYlKi1e+5RBM9lknSYmBERkUFRmMmwYmAgrBRyHEtMw//2X5Y6JCKtYWJGREQGx8vJCvN6ld7qaPneSzh5LU3iiIi0g4kZEREZpNda1kOvgDooUYsYuyEGGXlFT39SJfCqTJISEzMiIjJY83o1g4ejJW6l5+HDrWe0WrJJ4Ox/kgATMyIiMlg2KnOsHBQIM5mAHWduY9PfN6QOieiZMDEjIiKDFuBujw/CGgMAZv92DpdTs59pezyVSVJiYkZERAbvnfbeaOfjhLyiEozZEI38opJn3iZPZJIUmJgREZHBk8kELO3vD0crBc7fzsSCiHipQyKqFiZmRERkFJxtVVjSr7Rk0/eHr2JffEq1tsMbzJKUmJgREZHR6OjrjOFt6wMAPth8GqmZ+dXeFi/KJCkwMSMiIqMyrasv/NxskZZTiAmbYqCuYskmTv4nKTExIyIio6I0k2PloEBYmMtx+PI9rDmUIHVIRJXGxIyIiIyOj7M1Zvf0AwAs2XMBMTfSq7wNgddlkgSYmBERkVHq38od3Vu4oVgtYuyGaGTlV65kE89kkpSYmBERkVESBAH/7d0cde0tcD0tFzN+idNqySYiXWBiRkRERsvOwhwrBwVALhPwa0wStp66Venn8qpMkgITMyIiMmpBno4Y36khAGDmr3FIvJvz5CdwUI0kxMSMiIiM3n86+iDYyxE5hSUYuyEahcXqpz6HA2YkBSZmRERk9OQyAcsHBsDe0hxnbmVg8Z4LUodEVCEmZkREZBLc7CywsE8LAMBXhxJw6OKdCtuxJBNJiYkZERGZjM5NXfHG854AgImbYnEnq+CxbTn5n6TAxIyIiEzKR92boLGLDe5mF+CDzbFVLtlEpEtMzIiIyKSozOVYNTgQSjMZDl68g+8OJ5ZZz1udkZSYmBERkclp5GKDj3uUlmxaEBGPuFsZFbTiuUyqeUzMiIjIJA0J9kBYUxcUlYgYsyEaOQXFAHgbM5IWEzMiIjJJgiBgQZ8WcLNTIfFuDmb9dlbqkIiYmBERkemyt1Rg+YAAyARgy8mb+DXm35JNvCqTpMDEjIiITFqwdy2Mfqm0ZNNH2+KQnJEvcURkypiYERGRyRv7kg9aeTogu6AYt9LzpA6HTBgTMyIiMnlmchmWDwyAjcpMs4xnMkkKTMyIiIgA1HOwxGevtZA6DDJxZk9vQkREZBq6t3DDhWQf7IxLRktPB6nDIRPExIyIiOghEzs3xsTOjaUOg0wUT2USERER6QkmZkRERER6gokZERERkZ5gYkZERESkJ5iYEREREekJJmZEREREeoKJGREREZGeYGJGREREpCeYmBERERHpCSZmRERERHqCiRkRERGRnmBiRkRERKQnmJgRERER6QkmZkRERER6wkzqAEyVKIoAgMzMTK1ut6ioCLm5ucjMzIS5ublWt02Px36XBvtdGux3abDfpfFovz/Ybz/Yj2sbEzOJZGVlAQDc3d0ljoSIiIiqKisrC3Z2dlrfriDqKuWjJ1Kr1UhKSoKNjQ0EQdDadjMzM+Hu7o4bN27A1tZWa9ulJ2O/S4P9Lg32uzTY79J4tN9FUURWVhbq1KkDmUz7M8I4YiYRmUyGevXq6Wz7tra2/OJKgP0uDfa7NNjv0mC/S+PhftfFSNkDnPxPREREpCeYmBERERHpCSZmRkapVGLWrFlQKpVSh2JS2O/SYL9Lg/0uDfa7NGq63zn5n4iIiEhPcMSMiIiISE8wMSMiIiLSE0zMiIiIiPQEEzMjs3r1atSvXx8qlQrBwcE4fvy41CEZjEOHDuGVV15BnTp1IAgCfvnllzLrRVHEzJkz4ebmBgsLC4SGhuLSpUtl2qSlpWHIkCGwtbWFvb09RowYgezs7DJtTp8+jfbt20OlUsHd3R0LFy7U9VvTa/Pnz8dzzz0HGxsbODs7o1evXrhw4UKZNvn5+Rg1ahRq1aoFa2tr9OnTBykpKWXaXL9+Hd27d4elpSWcnZ0xefJkFBcXl2lz4MABtGzZEkqlEj4+Pli7dq2u357e+uKLL9CiRQvNvZlCQkKwa9cuzXr2ue599tlnEAQB48eP1yxjv2vf7NmzIQhCmYevr69mvd71uUhGIzw8XFQoFOJ3330nnj17Vhw5cqRob28vpqSkSB2aQdi5c6f40UcfiVu3bhUBiNu2bSuz/rPPPhPt7OzEX375RYyNjRV79uwpenl5iXl5eZo2Xbp0Ef39/cWjR4+Kf/75p+jj4yMOGjRIsz4jI0N0cXERhwwZIsbFxYkbNmwQLSwsxDVr1tTU29Q7YWFh4vfffy/GxcWJMTExYrdu3UQPDw8xOztb0+a9994T3d3dxb1794p///23+Pzzz4tt2rTRrC8uLhabNWsmhoaGitHR0eLOnTtFJycncfr06Zo2CQkJoqWlpThx4kTx3Llz4qpVq0S5XC5GRETU6PvVF7/99pu4Y8cO8eLFi+KFCxfEDz/8UDQ3Nxfj4uJEUWSf69rx48fF+vXriy1atBDHjRunWc5+175Zs2aJTZs2FW/fvq153LlzR7Ne3/qciZkRad26tThq1CjN3yUlJWKdOnXE+fPnSxiVYXo0MVOr1aKrq6u4aNEizbL09HRRqVSKGzZsEEVRFM+dOycCEE+cOKFps2vXLlEQBPHWrVuiKIri//73P9HBwUEsKCjQtJk6darYuHFjHb8jw5GamioCEA8ePCiKYmk/m5ubi5s3b9a0OX/+vAhAjIqKEkWxNKmWyWRicnKyps0XX3wh2traavp6ypQpYtOmTcu81oABA8SwsDBdvyWD4eDgIH7zzTfscx3LysoSGzZsKEZGRoovvPCCJjFjv+vGrFmzRH9//wrX6WOf81SmkSgsLMTJkycRGhqqWSaTyRAaGoqoqCgJIzMOiYmJSE5OLtO/dnZ2CA4O1vRvVFQU7O3t0apVK02b0NBQyGQyHDt2TNOmQ4cOUCgUmjZhYWG4cOEC7t+/X0PvRr9lZGQAABwdHQEAJ0+eRFFRUZm+9/X1hYeHR5m+b968OVxcXDRtwsLCkJmZibNnz2raPLyNB234/QBKSkoQHh6OnJwchISEsM91bNSoUejevXu5vmG/686lS5dQp04deHt7Y8iQIbh+/ToA/exzJmZG4u7duygpKSnzwQEAFxcXJCcnSxSV8XjQh0/q3+TkZDg7O5dZb2ZmBkdHxzJtKtrGw69hytRqNcaPH4+2bduiWbNmAEr7RaFQwN7evkzbR/v+af36uDaZmZnIy8vTxdvRe2fOnIG1tTWUSiXee+89bNu2DX5+fuxzHQoPD8epU6cwf/78cuvY77oRHByMtWvXIiIiAl988QUSExPRvn17ZGVl6WWfs4g5EemNUaNGIS4uDn/99ZfUoZiExo0bIyYmBhkZGdiyZQuGDh2KgwcPSh2W0bpx4wbGjRuHyMhIqFQqqcMxGV27dtX8u0WLFggODoanpyc2bdoECwsLCSOrGEfMjISTkxPkcnm5K0lSUlLg6uoqUVTG40EfPql/XV1dkZqaWmZ9cXEx0tLSyrSpaBsPv4apGj16NLZv3479+/ejXr16muWurq4oLCxEenp6mfaP9v3T+vVxbWxtbfXyx7kmKBQK+Pj4ICgoCPPnz4e/vz9WrFjBPteRkydPIjU1FS1btoSZmRnMzMxw8OBBrFy5EmZmZnBxcWG/1wB7e3s0atQIly9f1svPOhMzI6FQKBAUFIS9e/dqlqnVauzduxchISESRmYcvLy84OrqWqZ/MzMzcezYMU3/hoSEID09HSdPntS02bdvH9RqNYKDgzVtDh06hKKiIk2byMhING7cGA4ODjX0bvSLKIoYPXo0tm3bhn379sHLy6vM+qCgIJibm5fp+wsXLuD69etl+v7MmTNlEuPIyEjY2trCz89P0+bhbTxow+/Hv9RqNQoKCtjnOtKpUyecOXMGMTExmkerVq0wZMgQzb/Z77qXnZ2NK1euwM3NTT8/61W+XID0Vnh4uKhUKsW1a9eK586dE9955x3R3t6+zJUk9HhZWVlidHS0GB0dLQIQly5dKkZHR4vXrl0TRbH0dhn29vbir7/+Kp4+fVp89dVXK7xdRmBgoHjs2DHxr7/+Ehs2bFjmdhnp6emii4uL+MYbb4hxcXFieHi4aGlpadK3y3j//fdFOzs78cCBA2UuZ8/NzdW0ee+990QPDw9x37594t9//y2GhISIISEhmvUPLmfv3LmzGBMTI0ZERIi1a9eu8HL2yZMni+fPnxdXr15t0rcQmDZtmnjw4EExMTFRPH36tDht2jRREARxz549oiiyz2vKw1dliiL7XRcmTZokHjhwQExMTBQPHz4shoaGik5OTmJqaqooivrX50zMjMyqVatEDw8PUaFQiK1btxaPHj0qdUgGY//+/SKAco+hQ4eKolh6y4yPP/5YdHFxEZVKpdipUyfxwoULZbZx7949cdCgQaK1tbVoa2srDh8+XMzKyirTJjY2VmzXrp2oVCrFunXrip999llNvUW9VFGfAxC///57TZu8vDzxP//5j+jg4CBaWlqKvXv3Fm/fvl1mO1evXhW7du0qWlhYiE5OTuKkSZPEoqKiMm32798vBgQEiAqFQvT29i7zGqbmrbfeEj09PUWFQiHWrl1b7NSpkyYpE0X2eU15NDFjv2vfgAEDRDc3N1GhUIh169YVBwwYIF6+fFmzXt/6XBBFUaz6OBsRERERaRvnmBERERHpCSZmRERERHqCiRkRERGRnmBiRkRERKQnmJgRERER6QkmZkRERER6gokZERERkZ5gYkZERESkJ5iYERFJRBAE/PLLL1KHQUR6hIkZEZmEYcOGoVevXpK89uzZsxEQEFBu+e3bt9G1a9eaD4iI9JaZ1AEQEZkqV1dXqUMgIj3DETMiMnkHDx5E69atoVQq4ebmhmnTpqG4uFizXq1WY+HChfDx8YFSqYSHhwc+/fRTzfqpU6eiUaNGsLS0hLe3Nz7++GMUFRUBANauXYs5c+YgNjYWgiBAEASsXbsWQPlTmWfOnMFLL70ECwsL1KpVC++88w6ys7M16x+M+i1evBhubm6oVasWRo0apXktIjJ8HDEjIpN269YtdOvWDcOGDcOPP/6I+Ph4jBw5EiqVCrNnzwYATJ8+HV9//TWWLVuGdu3a4fbt24iPj9dsw8bGBmvXrkWdOnVw5swZjBw5EjY2NpgyZQoGDBiAuLg4RERE4I8//gAA2NnZlYsjJycHYWFhCAkJwYkTJ5Camoq3334bo0eP1iRyALB//364ublh//79uHz5MgYMGICAgACMHDlSp/1ERDVEJCIyAUOHDhVfffXVcss//PBDsXHjxqJardYsW716tWhtbS2WlJSImZmZolKpFL/++utKv9aiRYvEoKAgzd+zZs0S/f39y7UDIG7btk0URVH86quvRAcHBzE7O1uzfseOHaJMJhOTk5M178HT01MsLi7WtOnXr584YMCASsdGRPqNI2ZEZNLOnz+PkJAQCIKgWda2bVtkZ2fj5s2bSE5ORkFBATp16vTYbWzcuBErV67ElStXkJ2djeLiYtja2lY5Dn9/f1hZWZWJQ61W48KFC3BxcQEANG3aFHK5XNPGzc0NZ86cqdJrEZH+4hwzIqInsLCweOL6qKgoDBkyBN26dcP27dsRHR2Njz76CIWFhTqJx9zcvMzfgiBArVbr5LWIqOYxMSMik9akSRNERUVBFEXNssOHD8PGxgb16tVDw4YNYWFhgb1791b4/CNHjsDT0xMfffQRWrVqhYYNG+LatWtl2igUCpSUlDw1jtjYWOTk5JSJQyaToXHjxs/wDonIkDAxIyKTkZGRgZiYmDKPd955Bzdu3MCYMWMQHx+PX3/9FbNmzcLEiRMhk8mgUqkwdepUTJkyBT/++COuXLmCo0eP4ttvvwUANGzYENevX0d4eDiuXLmClStXYtu2bWVet379+khMTERMTAzu3r2LgoKCcrENGTIEKpUKQ4cORVxcHPbv348xY8bgjTfe0JzGJCLjxzlmRGQyDhw4gMDAwDLLRowYgZ07d2Ly5Mnw9/eHo6MjRowYgRkzZmjafPzxxzAzM8PMmTORlJQENzc3vPfeewCAnj17YsKECRg9ejQKCgrQvXt3fPzxx5orOgGgT58+2Lp1Kzp27Ij09HR8//33GDZsWJk4LC0tsXv3bowbNw7PPfccLC0t0adPHyxdulRn/UFE+kcQHx6/JyIiIiLJ8FQmERERkZ5gYkZERESkJ5iYEREREekJJmZEREREeoKJGREREZGeYGJGREREpCeYmBERERHpCSZmRERERHqCiRkRERGRnmBiRkRERKQnmJgRERER6QkmZkRERER64v8BaPVBCUvrv1UAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"beam_model.Members[\"M1\"].plot_shear(Direction=\"Fy\", n_points=1000)\n",
"beam_model.Members[\"M1\"].plot_moment(Direction=\"Mz\", n_points=1000)\n",
"beam_model.Members[\"M1\"].plot_deflection(Direction=\"dy\", n_points=1000)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "pfse",
"language": "python",
"name": "pfse"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.16"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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