March_test_documentation.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook is based on: \n",
    "    Flexural behavior of externally prestressed beams Part 1: Analytical models\"\n",
    "    Chee Khoon Ng, Kiang Hwee Tan. (2006)\n",
    "\n",
    "Variables that aren't realistic, but are used for testing purposes are:\n",
    "\n",
    "fc′ :concrete compressive strength (MPa)\\\n",
    "fpe :effective post tensioning stress (MPa) \n",
    "\n",
    "Distance from the support to loading point (Ls) and deviator (Ld) also changed by < 1 cm, so it was neglected. "
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#using ProgressBars\n",
    "#using CSV\n",
    "#using DataFrames\n",
    "using UnPack\n",
    "#using Makie, GLMakie"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Todo\n",
    "Plot everything out vs displacement. \n",
    "\n",
    "Check every variable that can be checked. (e mid , forces (static) , )\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Inputs\\\n",
    "..........Notes..........\\\n",
    "Use Ld = Ls (this test only) \\\n",
    "Eccentricities measured from the neutral axis\\\n",
    "M is the moment in the constant region\\\n",
    "Mg = moment due to the selfweight\\\n",
    "M(x) is the moment equation due to the load\\\n",
    "Units N, mm, MPa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fc′ = 36.0 = 36.0\n",
      "Ec = 4867.0 = 4867.0\n",
      "Eps = 70000.0 = 70000.0\n",
      "fpy = 0.002 * Eps = 140.0\n",
      "em = 225.76 = 225.76\n",
      "es = 4.24 = 4.24\n",
      "em0 = em = 225.76\n",
      "Ls = 502.7 = 502.7\n",
      "Ld = Ls = 502.7\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "L = 2000.0 = 2000.0\n",
      "Aps = (2.0 * (0.25 * 25.4) ^ 2 * pi) / 4.0 = 63.33843488718721\n",
      "Atr = 18537.69 + 347.96 = 18885.649999999998\n",
      "Itr = 1.0788e8 = 1.0788e8\n",
      "c = 137.51 = 137.51\n",
      "Zb = Itr / c = 784524.7618355029\n",
      "w = (Atr / 10 ^ 9) * 2400.0 * 9.81 = 0.4446437436\n",
      "mg = (w * L ^ 2) / 8.0 = 222321.8718\n",
      "fr = 0.7 * sqrt(fc′) = 3.8340579025361627\n",
      "r = sqrt(Itr / Atr) = 58.30352070947172"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "fpe = force_in_each_side / Aps = 32.87510019600154\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "32.87510019600154"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Material Properties\n",
    "struct Material\n",
    "    fc′::Float64 # Concrete strength [MPa] ****Should update on the test day using cylinder test***\n",
    "    Ec::Float64 # MPa  ACI fc-> Concrete modulus relationship [MPa]\n",
    "    Eps::Float64 #Post tensioning steel modulus [MPa]\n",
    "    fpy::Float64 #MPa  \n",
    "    #Safe load on the website https://www.engineeringtoolbox.com/wire-rope-strength-d_1518.html \n",
    "    # is ~ 150 MPa. Currently 140 MPa :)\n",
    "end\n",
    "\n",
    "@show fc′= 36.0 #(*) Concrete strength [MPa] ****Should update on the test day using cylinder test***\n",
    "@show Ec = 4867.0 #4700.0*sqrt(fc′) # MPa  ACI fc-> Concrete modulus relationship [MPa]\n",
    "@show Eps = 70000.0 #Post tensioning steel modulus [MPa]\n",
    "@show fpy = 0.002*Eps #MPa  \n",
    "#Safe load on the website https://www.engineeringtoolbox.com/wire-rope-strength-d_1518.html \n",
    "# is ~ 150 MPa. Currently 140 MPa :)\n",
    "\n",
    "struct Section\n",
    "    em::Float64 # Eccentricity at the middle of the member [mm]\n",
    "    es::Float64 # Eccentricity at the support of the member   [mm]\n",
    "    em0::Float64 # Initial eccentricity at the midspan        [mm]\n",
    "    Ls::Float64 # Distance from support to the first load point [mm]\n",
    "    Ld::Float64 # Distance from support to the first deviator [mm]\n",
    "    L::Float64 # Total length of the member [mm]\n",
    "    # two 1/4\" bars with 1200 lb capacity\n",
    "    Aps::Float64 # Total area of the steel in the section [mm^2]\n",
    "    Atr::Float64 # Transformed area of the cross section [mm^2]\n",
    "    Itr::Float64 # Moment of inertia of the transformed cross section [mm^4]\n",
    "    Zb::Float64 # Section modulus of the concrete section from the centroid to extreme tension fiber [mm^3]\n",
    "end\n",
    "\n",
    "# PixelFrame section/element properties\n",
    "# Eccentricity is measured from the centroid of the concrete crossection to the centroid of the steels\n",
    "@show em = 225.76 # Eccentricity at the middle of the member [mm]\n",
    "# Since the ropes at the supports are at the centroid of the concrete section\n",
    "@show es = 4.24    # Eccentricity at the support of the member[mm]\n",
    "@show em0 = em   # Initial eccentricity at the midspan      [mm]\n",
    "@show Ls = 502.7 # Distance from support to the first load point [mm]\n",
    "@show Ld = Ls    # Distance from support to the first deviator [mm]\n",
    "@show L = 2000.0 # Total length of the member [mm]\n",
    "\n",
    "# Steel properties\n",
    "    # two 1/4\" bars with 1200 lb capacity\n",
    "@show Aps = 2.0*(0.25*25.4)^2*pi/4.0 # Total area of the post tensioned steel [mm2]\n",
    "# If there are multiple materials, transformed section geometry is needed for Zb (and everything related to section area)\n",
    "\n",
    "@show Atr = 18537.69 + 347.96  # Transformed area of the cross section (Concrete + Steel) [mm2]\n",
    "\n",
    "# v -> possible error.\n",
    "#previous value : 8.9795e7\n",
    "@show Itr  = 1.0788e8  # Moment of inertia of the transformed cross section [mm4]\n",
    "# # Section modulus of the concrete section from the centroid to extreme tension fiber [mm3]\n",
    "@show c = 137.51 # Distance from the centroid of the entire section to the centroid of the steel section (extreme tension) [mm]\n",
    "@show Zb = Itr/c\n",
    "\n",
    "# Its was = 6.4198e+07 #moment of inertia [mm4]\n",
    "# Zb  was = 452894.24\n",
    "\n",
    "struct Loads\n",
    "    w::Float64 # Selfweight [N/mm]\n",
    "    mg::Float64 # Moment due to selfweight [Nmm]\n",
    "    fr::Float64 # Concrete cracking strenght [MPa]\n",
    "    r::Float64 # Radius of gyration [mm]\n",
    "    #ps_force::Float64 # Post tensioning force [N]\n",
    "    fpe::Float64 # Effective post tensioning stress [MPa]\n",
    "end\n",
    "\n",
    "# Apply loads\n",
    "# assume concrete density = 2400 kg/m3\n",
    "@show w = Atr/10^9*2400.0*9.81 # Selfweight [N/mm]\n",
    "@show mg = w*L^2/8.0 # Moment due to selfweight [Nmm]\n",
    "@show fr = 0.7*sqrt(fc′) # Concrete cracking strenght [MPa]\n",
    "@show r  = sqrt(Itr/Atr) # Radius of gyration [mm]\n",
    "#@show ps_force = 890 # Post tensioning force [N]\n",
    "\n",
    "# ***possible error\n",
    "# we dont know the effective post tensioning stress\n",
    "# upward force during the tensionig phase was 200lb \n",
    "upward_force_N = 200 * 4.4 ;\n",
    "force_in_each_side = upward_force_N/sind(25.);\n",
    "@show fpe = force_in_each_side/Aps #ps_force/Aps # Effective post tensioning stress [MPa] ***will input the one on the test day***\n",
    "\n",
    "#calculate fpe.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Loads(0.4446437436, 222321.8718, 3.8340579025361627, 58.30352070947172, 32.87510019600154)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create structs\n",
    "Mat = Material(fc′, Ec, Eps, fpy)\n",
    "Sec = Section(em, es, em0, Ls, Ld, L, Aps, Atr, Itr, Zb)\n",
    "f   = Loads(w, mg, fr, r, fpe)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Function definitions\n",
    "[In the same order as in the paper]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "getDelta"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "(2)\n",
    "\"\"\"\n",
    "function getFps(Mat::Material, Sec::Section, f::Loads, Ω::Float64, M::Float64, e::Float64)\n",
    "\n",
    "    @unpack fc′, Ec, Eps, fpy = Mat\n",
    "    @unpack Aps, Atr, Itr, Zb = Sec\n",
    "    @unpack r, fpe = f\n",
    "\n",
    "    A = (Ω*M*e) # [A]bove term \n",
    "    B = (Itr*Ec/Eps + Aps*(r^2+e^2)*Ω) # [B]elow term\n",
    "    fps = fpe + A/B\n",
    "    if fps> fpy \n",
    "        fps = fpy\n",
    "        println(\"Exceeds the yielding stress-> fps = fpy = $fpy\")\n",
    "    end\n",
    "    return fps\n",
    "end\n",
    "\n",
    "\"\"\"\n",
    "(3) \n",
    "Only calculate once\n",
    "\"\"\"\n",
    "function getMcr(Mat::Material, Sec::Section, f::Loads, Ω::Float64 ) \n",
    "    @unpack fc′, Ec, Eps, fpy = Mat\n",
    "    @unpack Aps, Atr, Itr, Zb, em = Sec\n",
    "    @unpack w, mg, fr, r, fpe = f\n",
    "\n",
    "    \n",
    "    @show mcre = Aps*fpe*(em + Zb/Atr) + (fr * Zb) # Cracking moment due to initial effective prestress (mcre)\n",
    "    @assert mcre > 0 # mcre should be positive\n",
    "    @show dmcr = (Aps*em*(em + Zb/Atr)*(mcre - mg)) / ((1/Ω*Itr*Ec/Eps) + Aps*(r^2-em*Zb/Atr)) # Moment due to stress increase in external tendons.\n",
    "    @assert dmcr > 0\n",
    "    mcr = mcre + dmcr\n",
    "    return mcr\n",
    "end\n",
    "\n",
    "\"\"\"\n",
    "(6b, Ld >= Ls)\n",
    "Bond reduction coefficient for the linear elastic uncracked regime, Naaman's\n",
    "\"\"\"\n",
    "function getOmega(Sec::Section)\n",
    "    @unpack em, es, Ls, Ld, L = Sec\n",
    "    Ω = 1.0 - (es / em)*(Ls/L) + (es - em)/ em * (Ls^2/(3*L*Ld) +Ld/L)\n",
    "    return Ω\n",
    "end\n",
    "\n",
    "\"\"\"\n",
    "(12)\n",
    "\"\"\"\n",
    "function getDelta(Mat::Material, Sec::Section, f::Loads, Ω::Float64, M::Float64, e::Float64)\n",
    "\n",
    "    @unpack fc′, Ec, Eps, fpy = Mat\n",
    "    @unpack Aps, Atr, Itr, Zb, em, es, Ls, Ld, L = Sec\n",
    "    @unpack w, mg, fr, r, fpe = f\n",
    "    \n",
    "    #displacement \n",
    "    # due to the PS force\n",
    "    #at mid span\n",
    "    δ_mid⁻ = fps*Aps/(Ec*Itr) * (em * L^2 / 8 - (em-es)*Ls^2/6)\n",
    "    # at deviator \n",
    "    δ_dev⁻ = fps*Aps/(Ec*Itr)*(es*Ls^2/6 + em*(L*Ls/2-2/3*Ls^2))\n",
    "\n",
    "    # due to the applied force\n",
    "    #at the mid span\n",
    "    δ_mid⁺ = M*L^2/(6*Ec*Itr)*(3/4-(Ls/L)^2)\n",
    "    # at a deviator\n",
    "    δ_dev⁺ = M*L^2/(6*Ec*Itr)*( 3*(Ls/L)*(1-Ls/L)-(Ls/L)^2)\n",
    "\n",
    "    δ_mid = δ_mid⁺ - δ_mid⁻\n",
    "\n",
    "\n",
    "    δ_mid_cal = M*L^2/(6*Ec*Itr)*(3/4-(Ls/L)^2) - fps*Aps/(Ec*Itr) * (e * L^2 / 8 - (e-es)*Ls^2/6)\n",
    "    @assert abs(δ_mid - δ_mid_cal) < 1e-9\n",
    "    Δ = δ_mid - (δ_dev⁺ - δ_dev⁻)\n",
    "    K1 = Ls/L-1 \n",
    "    K2 = 0.0\n",
    "    Δcalc = M*L^2/(6*Ec*Itr)*(3 * (Ls/L) * K1 + 3/4 + K2) - fps*Aps*e/(Ec*Itr)*(L^2/8 - L*Ls/2 + Ls^2/2)\n",
    "\n",
    "    # @show Δ - Δcalc\n",
    "    @assert abs(Δ - Δcalc) < 1e-9\n",
    "    return Δ, δ_mid\n",
    "end\n",
    "\n",
    "# df = CSV.File(joinpath(@__DIR__,\"pixelframe_beam1.csv\"));\n",
    "# df = DataFrame(df);\n",
    "# test_P = df[!,2];\n",
    "# test_d = df[!,3] ;\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(re)Set containers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mcre = Aps * fpe * (em + Zb / Atr) + fr * Zb = 1.5954996196662635e6\n",
      "dmcr = (Aps * em * (em + Zb / Atr) * (mcre - mg)) / (((1 / Ω) * Itr * Ec) / Eps + Aps * (r ^ 2 - (em * Zb) / Atr)) = 133508.32623689625\n"
     ]
    }
   ],
   "source": [
    "#Initiate load forces in lb\n",
    "P_lb = 0:10:4000  #[lb]\n",
    "\n",
    "#convert to N\n",
    "P_N  = 4.448*P_lb # [N]\n",
    "\n",
    "#Use N and mm for the rest of the calculation\n",
    "P = P_N\n",
    "\n",
    "#Moment at the mid span\n",
    "M = P*Ls/2.\n",
    "\n",
    "#Run these 2 lines first, thye dont change during the calculation.\n",
    "Ω = getOmega(Sec) # [unitless]\n",
    "mcr = getMcr(Mat, Sec, f, Ω ) ; # [Nmm]\n",
    "\n",
    "# set containers for output\n",
    "\n",
    "#Total displacement at mid span\n",
    "displacements = zeros(length(M));\n",
    "\n",
    "#Displacement from the PS force at mid span\n",
    "displacements_mid = zeros(length(M));\n",
    "\n",
    "#check if any stage of the calculation exceeds the iteration limit\n",
    "iteration_exceeded = zeros(length(M)) ;\n",
    "#Maxmum iteration in each loop\n",
    "max_it = 10000;\n",
    "\n",
    "# initial guess of the stress in the tendons.\n",
    "fps = fpe ;\n",
    "\n",
    "#will have to update at the end as the current fps and use that in the next loop.\n",
    "fps_old = fpe ;\n",
    "\n",
    "fps_sub_hist = zeros(max_it);\n",
    "fps_his = zeros(length(M));\n",
    "e_his = zeros(length(M));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.7329074400000002e6\n",
      "Exceeds the cracking moment at load = 6894.400000000001 N (1.549923340122566 kips)\n",
      "Using Linear Crack scheme\n",
      "EXIT LOOP\n"
     ]
    }
   ],
   "source": [
    "println(Ω)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#loop M\n",
    "for i in eachindex(M) #ProgressBar(eachindex(M))\n",
    "    #value of the current applied moment\n",
    "    Mi = M[i] \n",
    "\n",
    "    #Check if moment is less than the critical moment\n",
    "    if Mi <= mcr\n",
    "       \n",
    "        # println(\"Moment is less than the critical moment\")\n",
    "        # println(\"M = $Mi, Mcr = $mcr\")\n",
    "\n",
    "        conv = 1.\n",
    "        tol = 1e-6\n",
    "   \n",
    "        it = 0\n",
    "        while conv > tol\n",
    "            it += 1 \n",
    "            if it > max_it\n",
    "                println(\"Maximum number of iterations reached for M = $Mi\")\n",
    "                iteration_exceeded[i] = 1\n",
    "                break\n",
    "            end\n",
    "\n",
    "            #calculate the total deflection\n",
    "            Δ, δ_mid = getDelta(Mat, Sec, f, Ω, Mi, em)\n",
    "\n",
    "            #find the actual eccentricity of the tendon\n",
    "            global e = em - Δ \n",
    "\n",
    "            #calculate the stress in the tendons, limited by fpy\n",
    "            fps_new = getFps(Mat, Sec, f, Ω, Mi, e)\n",
    "\n",
    "            conv = abs(fps_new - fps_old)/fps_old\n",
    "            fps_old = fps_new # this one used for the next loop.\n",
    "        end\n",
    "        \n",
    "        e_his[i] = e\n",
    "        set_Δ, displacements[i] = getDelta(Mat, Sec, f, Ω, Mi, em)\n",
    "      \n",
    "        fps_his[i] = fps_old\n",
    "        \n",
    "    elseif Mi > mcr \n",
    "        println(Mi) \n",
    "        Pi = P[i]\n",
    "        Pi_kips = Pi/4.44822/1000.\n",
    "        global endidx = i\n",
    "        println(\"Exceeds the cracking moment at load = $Pi N ($Pi_kips kips)\")\n",
    "        println(\"Using Linear Crack scheme\")\n",
    "        println(\"EXIT LOOP\")\n",
    "        break\n",
    "    elseif Mi > My\n",
    "        println(\"Exceeds the yielding moment\")\n",
    "        println(\"Beam reaching Ultimate Moment capacity (Mu) and will fail\")\n",
    "    else\n",
    "        println(\"Something is wrong\")\n",
    "    end\n",
    "    endidx = i\n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "visualize_plot (generic function with 1 method)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create visualize plot function \n",
    "function visualize_plot(x,y,Xlabel, Ylabel, TITLE, )\n",
    "\n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": []
    },
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "156\n",
      "slope = P[endidx - 1] / displacements[endidx - 1] = 19765.840972402057\n",
      "-0.1288223828291848\n"
     ]
    }
   ],
   "source": [
    "#Convert displacement into Inches. 25.4 mm = 1 inch\n",
    "dis_in = displacements/25.4\n",
    "println(endidx)\n",
    "@show slope = P[endidx]/displacements[endidx]\n",
    "plt_calc_in = Makie.plot(dis_in[1:endidx], P_lb[1:endidx], label = \"Calculated Displacement\",\n",
    "    xlabel = \"Deflection (Inches)\", \n",
    "    ylabel = \"Load (lb)\"\n",
    ")\n",
    "\n",
    "# println(e_his[endidx]-e_his[1])\n",
    "# e_diff = \n",
    "# plt_e = Makie.plot(displacements, (em .- e_his[1:(endidx)]))\n",
    "# display(plt_e)\n",
    "# display(plt_calc_in)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_calc_mm = Makie.plot(displacements[1:endidx], P[1:endidx], label = \"Calculated Displacement\",\n",
    "    xlabel = \"Deflection (mm)\", \n",
    "    ylabel = \"Load (N)\",\n",
    "    title =  \"test\"\n",
    ")\n",
    "\n",
    "plt_fps = Makie.plot(displacements[1:endidx-1],fps_his[1:endidx-1])\n",
    "\n",
    "Makie.plot(plt_calc_in, plt_calc_mm, plt_fps)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 196,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    }
   ],
   "source": [
    "println(fps_his)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1195.8,730.314 1197,729.301 1197.6,729.639 1198.81,728.288 1200.01,726.937 1200.61,726.937 1201.82,726.261 1203.02,724.572 1203.62,725.248 1204.83,723.897 1205.43,722.883 1206.63,722.883 1207.84,721.532 1208.44,720.519 1209.64,720.519 1210.85,719.506 1211.45,719.168 1212.65,718.83 1213.86,717.479 1215.06,716.803 1215.66,716.803 1216.87,715.79 1217.47,715.115 1218.67,714.439 1219.88,713.426 1220.48,712.75 1221.68,712.412 1222.89,711.399 1223.49,710.386 1224.69,710.386 1225.89,709.71 1227.1,708.697 1227.7,708.359 1228.9,707.684 1229.51,707.346 1230.71,706.333 1231.91,705.319 1232.52,704.981 1233.72,704.306 1234.92,703.968 1235.53,702.279 1236.73,702.617 1237.93,700.928 1238.53,700.59 1239.74,700.59 1240.94,698.902 1241.54,698.564 1242.75,698.226 1243.95,697.213 1244.55,696.537 1245.76,695.524 1246.96,694.848 1247.56,694.511 1248.77,693.835 1249.97,693.159 1250.57,692.484 1251.78,691.808 1252.98,690.795 1253.58,690.795 1254.79,689.782 1255.99,688.768 1256.59,688.093 1257.8,687.755 1259,687.08 1259.6,686.404 1260.81,686.066 1262.01,684.715 1262.61,684.715 1263.81,684.377 1265.02,683.364 1265.62,683.026 1266.82,682.013 1268.03,681.337 1268.63,680.324 1269.83,680.324 1271.04,679.311 1271.64,678.635 1272.84,677.96 1274.05,676.609 1274.65,676.609 1275.85,675.933 1277.06,675.258 1277.66,674.92 1278.86,674.244 1280.07,673.569 1280.67,672.555 1281.87,672.555 1283.08,671.542 1283.68,670.529 1284.88,670.529 1286.09,669.516 1286.69,668.164 1287.89,667.827 1289.1,667.489 1289.7,666.476 1290.9,666.138 1292.1,665.124 1292.71,664.111 1293.91,664.111 1295.11,662.76 1295.72,662.76 1296.92,662.085 1298.12,660.734 1298.73,661.409 1299.93,660.058 1301.13,659.382 1301.74,659.382 1302.94,658.031 1304.14,657.356 1304.74,657.018 1305.95,656.005 1307.15,654.654 1307.75,654.654 1308.96,653.64 1310.16,652.965 1310.76,652.627 1311.97,651.276 1313.17,650.938 1313.77,649.925 1314.98,649.925 1316.18,649.249 1316.78,648.236 1317.99,647.898 1319.19,646.547 1319.79,645.872 1321,645.872 1322.2,645.196 1322.8,644.183 1324.01,643.507 1325.21,642.832 1325.81,642.832 1327.02,642.156 1328.22,640.805 1328.82,640.805 1330.02,639.792 1331.23,638.103 1331.83,639.116 1333.03,637.427 1334.24,637.09 1334.84,636.752 1336.04,635.401 1337.25,635.063 1337.85,635.063 1339.05,634.05 1340.26,632.699 1340.86,632.699 1342.06,632.023 1343.27,631.01 1343.87,630.334 1345.07,629.659 1346.28,628.307 1346.88,628.307 1348.08,627.97 1349.29,626.281 1349.89,626.281 1351.09,625.605 1352.3,625.268 1352.9,623.579 1354.1,623.579 1355.31,622.565 1355.91,621.89 1357.11,621.552 1358.31,620.201 1358.92,619.863 1360.12,619.525 1361.32,618.174 1361.93,618.174 1363.13,617.499 1364.33,616.823 1364.94,616.486 1366.14,615.472 1367.34,614.121 1367.95,614.459 1369.15,613.446 1370.35,613.446 1370.95,612.432 1372.16,611.081 1373.36,610.743 1373.96,610.406 1375.17,609.392 1376.37,608.379 1376.97,608.717 1378.18,607.028 1379.38,606.69 1379.98,606.015 1381.19,605.339 1382.39,604.664 1382.99,603.988 1384.2,603.312 1385.4,602.299 1386,602.299 1387.21,601.624 1388.41,600.272 1389.01,600.272 1390.22,599.259 1391.42,598.584 1392.02,598.246 1393.23,597.57 1394.43,596.557 1395.03,596.219 1396.23,595.882 1397.44,593.855 1398.04,594.868 1399.24,593.855 1400.45,592.842 1401.05,592.842 1402.25,591.828 1403.46,591.153 1404.06,590.139 1405.26,589.802 1406.47,588.451 1407.07,588.788 1408.27,587.775 1409.48,586.762 1410.08,586.762 1411.28,585.748 1412.49,584.735 1413.09,585.073 1414.29,583.384 1414.89,582.708 1416.1,582.371 1417.3,581.695 1418.51,580.682 1419.11,580.682 1420.31,579.668 1421.52,578.655 1422.12,578.655 1423.32,577.642 1424.52,575.953 1425.13,576.629 1426.33,575.615 1426.93,574.94 1428.14,574.602 1429.34,573.589 1429.94,572.575 1431.15,572.575 1432.35,571.9 1432.95,570.549 1434.16,570.549 1435.36,569.535 1436.56,569.198 1437.16,568.522 1438.37,567.509 1438.97,567.171 1440.17,566.495 1441.38,565.82 1441.98,565.144 1443.18,564.807 1444.39,564.131 1444.99,562.442 1446.19,562.78 1447.4,561.767 1448.6,561.429 1449.2,560.753 1450.41,560.078 1451.01,559.74 1452.21,559.064 1453.42,558.727 1454.02,557.376 1455.22,557.038 1456.43,556.7 1457.03,555.349 1458.23,556.025 1459.44,553.998 1460.04,553.66 1461.24,554.336 1462.44,553.322 1463.05,552.985 1464.25,552.647 1465.45,551.971 1466.06,551.296 1467.26,550.62 1468.46,549.607 1469.07,548.931 1470.27,548.931 1471.47,547.58 1472.08,547.243 1473.28,546.905 1474.48,545.554 1475.08,545.891 1476.29,544.54 1477.49,544.203 1478.09,543.189 1479.3,542.514 1480.5,542.176 1481.1,541.5 1482.31,541.163 1483.51,539.812 1484.11,539.136 1485.32,538.798 1486.52,537.785 1487.12,537.447 1488.33,536.096 1489.53,535.758 1490.13,535.083 1491.34,534.745 1492.54,533.732 1493.14,533.394 1494.35,533.732 1495.55,532.718 1496.15,531.705 1497.36,531.367 1498.56,530.354 1499.16,530.354 1500.37,529.341 1501.57,528.665 1502.17,528.327 1503.37,527.652 1504.58,526.638 1505.18,525.963 1506.38,525.963 1507.59,524.95 1508.19,523.936 1509.39,523.936 1510.6,522.585 1511.2,522.923 1512.4,521.234 1513.61,520.896 1514.21,520.559 1515.41,519.208 1516.62,518.87 1517.22,517.857 1518.42,517.519 1519.63,516.505 1520.23,516.168 1521.43,515.492 1522.64,514.817 1523.24,514.479 1524.44,513.803 1525.65,512.79 1526.25,512.114 1527.45,511.777 1528.65,511.439 1529.26,509.75 1530.46,510.088 1531.66,508.399 1532.27,508.399 1533.47,508.061 1534.67,506.71 1535.28,506.71 1536.48,505.697 1537.68,505.697 1538.29,504.683 1539.49,504.008 1540.69,502.995 1541.3,502.995 1542.5,501.644 1543.7,501.644 1544.3,500.968 1545.51,499.955 1546.71,498.941 1547.31,499.955 1548.52,497.928 1549.72,497.59 1550.32,497.253 1551.53,496.239 1552.73,494.888 1553.33,494.55 1554.54,494.55 1555.74,493.537 1556.34,493.537 1557.55,492.862 1558.75,491.848 1559.35,491.51 1560.56,490.159 1561.76,489.146 1562.36,489.146 1563.57,488.47 1564.77,487.795 1565.37,486.782 1566.58,486.444 1567.78,485.431 1568.38,485.093 1569.58,484.755 1570.79,483.404 1571.39,483.404 1572.59,482.728 1573.8,482.053 1574.4,481.377 1575.6,480.702 1576.81,480.026 1577.41,479.351 1578.61,479.013 1579.82,478 1580.42,478 1581.62,476.986 1582.83,475.973 1583.43,476.311 1584.63,474.284 1585.84,473.609 1586.44,474.622 1587.64,472.933 1588.85,471.582 1589.45,471.92 1590.65,470.906 1591.86,470.231 1592.46,470.231 1593.66,469.218 1594.86,468.88 1595.47,468.542 1596.67,467.529 1597.87,466.853 1598.48,466.178 1599.68,465.502 1600.88,465.164 1601.49,464.489 1602.69,463.813 1603.89,462.124 1604.5,462.462 1605.7,461.787 1606.9,460.773 1607.5,461.111 1608.71,459.76 1609.91,459.084 1610.51,458.747 1611.72,458.071 1612.92,457.058 1613.52,457.058 1614.73,455.707 1615.93,455.031 1616.53,455.707 1617.74,455.031 1618.94,454.018 1619.54,454.356 1620.75,453.68 1621.95,453.342 1622.55,452.329 1623.76,451.653 1624.36,450.64 1625.56,450.64 1626.77,449.627 1627.97,448.951 1628.57,448.951 1629.78,447.262 1630.98,446.587 1631.58,446.587 1632.79,445.574 1633.99,444.898 1634.59,444.898 1635.79,443.547 1636.4,443.209 1637.6,442.871 1638.8,441.858 1640.01,441.183 1640.61,440.507 1641.81,440.169 1643.02,439.156 1643.62,438.48 1644.82,437.805 1646.03,436.792 1646.63,436.792 1647.83,436.116 1648.43,435.44 1649.64,434.765 1650.84,434.089 1651.44,433.076 1652.65,432.738 1653.85,431.725 1655.06,431.387 1655.66,430.712 1656.86,429.698 1658.07,429.361 1658.67,428.685 1659.87,427.672 1660.47,427.334 1661.68,426.996 1662.88,425.983 1663.48,425.307 1664.69,425.307 1665.89,424.294 1666.49,423.618 1667.7,422.943 1668.9,422.267 1670.1,421.254 1670.71,421.254 1671.91,420.241 1672.51,420.241 1673.71,419.565 1674.92,418.214 1675.52,418.214 1676.72,417.539 1677.93,416.525 1678.53,415.85 1679.73,416.187 1680.94,415.174 1681.54,414.161 1682.74,413.823 1683.95,412.472 1684.55,412.134 1685.75,412.134 1686.96,411.459 1687.56,410.445 1688.76,410.108 1689.97,409.094 1690.57,408.757 1691.77,408.419 1692.98,407.405 1693.58,406.392 1694.78,406.054 1695.99,405.379 1696.59,404.703 1697.79,404.366 1699,403.352 1699.6,403.014 1700.8,402.339 1702,401.326 1702.61,400.65 1703.81,400.988 1705.01,399.637 1705.62,399.299 1706.82,398.623 1708.02,397.61 1708.63,396.935 1709.83,396.597 1711.03,396.259 1711.64,395.246 1712.84,394.908 1714.04,393.557 1714.64,393.557 1715.85,393.219 1717.05,391.868 1717.65,391.868 1718.86,391.193 1720.06,390.179 1720.66,390.517 1721.87,389.504 1723.07,388.828 1723.67,388.49 1724.88,387.139 1726.08,386.801 1726.68,386.464 1727.89,386.126 1729.09,384.775 1729.69,384.775 1730.9,384.099 1732.1,383.424 1732.7,383.086 1733.91,382.073 1735.11,381.397 1735.71,380.722 1736.92,380.384 1738.12,380.046 1738.72,378.695 1739.92,378.695 1741.13,377.006 1741.73,377.344 1742.93,376.668 1744.14,375.655 1744.74,375.655 1745.94,374.642 1747.15,373.966 1747.75,373.291 1748.95,373.291 1750.16,372.615 1750.76,371.94 1751.96,371.94 1753.17,370.588 1753.77,370.588 1754.97,369.575 1756.18,368.224 1756.78,368.9 1757.98,368.224 1759.19,366.873 1759.79,366.873 1760.99,365.86 1762.2,365.184 1762.8,365.184 1764,364.171 1765.21,363.495 1765.81,362.82 1767.01,362.82 1768.21,362.144 1768.82,361.469 1770.02,360.455 1771.22,359.442 1771.83,359.104 1773.03,358.429 1774.23,358.091 1774.84,357.415 1776.04,356.74 1777.24,355.727 1777.85,355.051 1779.05,355.051 1780.25,353.362 1780.85,353.7 1782.06,352.687 1783.26,352.687 1783.86,352.011 1785.07,351.336 1786.27,350.66 1786.87,350.322 1788.08,349.309 1789.28,349.309 1789.88,348.633 1791.09,347.958 1792.29,347.282 1792.89,346.607 1794.1,345.931 1795.3,344.58 1795.9,345.256 1797.11,344.242 1798.31,343.229 1798.91,343.905 1800.12,342.554 1801.32,341.878 1801.92,342.216 1803.13,340.527 1804.33,340.189 1804.93,339.851 1806.13,338.838 1807.34,338.838 1807.94,338.163 1809.14,337.825 1810.35,336.811 1810.95,336.811 1812.15,336.136 1813.36,335.123 1813.96,335.123 1815.16,334.109 1816.37,333.434 1816.97,333.434 1818.17,332.083 1819.38,331.407 1819.98,331.745 1821.18,330.394 1821.78,329.38 1822.99,329.38 1824.19,328.705 1825.4,327.692 1826,327.692 1827.2,326.678 1828.41,325.665 1829.01,326.341 1830.21,324.989 1831.42,323.976 1832.02,323.638 1833.22,322.963 1833.82,322.287 1835.03,321.949 1836.23,321.612 1836.83,319.923 1838.04,320.261 1839.24,318.91 1839.84,318.91 1841.05,318.91 1842.25,317.558 1843.45,316.883 1844.06,316.883 1845.26,315.87 1845.86,315.532 1847.06,315.194 1848.27,314.181 1848.87,313.167 1850.07,312.83 1851.28,312.154 1851.88,311.479 1853.08,311.479 1854.29,310.465 1855.49,309.452 1856.09,309.79 1857.3,308.776 1857.9,307.763 1859.1,307.425 1860.31,307.088 1860.91,306.074 1862.11,306.412 1863.32,305.399 1863.92,304.723 1865.12,304.723 1866.33,303.372 1866.93,302.697 1868.13,302.697 1869.34,301.683 1869.94,302.021 1871.14,301.008 1872.34,300.332 1872.95,299.319 1874.15,299.657 1875.35,298.643 1875.96,297.968 1877.16,297.63 1878.36,296.955 1878.97,295.941 1880.17,295.941 1881.37,294.928 1881.98,294.59 1883.18,294.59 1884.38,293.577 1884.99,292.901 1886.19,292.563 1887.39,291.888 1887.99,291.212 1889.2,290.537 1890.4,289.524 1891,289.186 1892.21,289.186 1893.41,287.835 1894.01,287.497 1895.22,287.159 1896.42,286.484 1897.02,286.146 1898.23,285.47 1899.43,284.795 1900.03,284.457 1901.24,284.119 1902.44,283.444 1903.04,283.106 1904.25,282.093 1905.45,281.417 1906.05,281.079 1907.26,280.404 1908.46,279.728 1909.06,279.053 1910.27,278.715 1911.47,278.039 1912.07,277.702 1913.27,277.364 1914.48,275.675 1915.08,275.675 1916.28,275.337 1917.49,274.324 1918.09,273.986 1919.29,273.648 1920.5,272.973 1921.1,272.297 1922.3,271.959 1923.51,270.946 1924.11,270.271 1925.31,270.271 1926.52,269.595 1927.12,269.257 1928.32,268.582 1929.53,267.568 1930.13,266.893 1931.33,266.217 1932.54,266.217 1933.14,265.542 1934.34,265.204 1935.55,263.853 1936.15,264.528 1937.35,263.515 1938.55,262.502 1939.16,262.84 1940.36,261.489 1941.56,261.151 1942.17,261.151 1943.37,259.8 1944.57,259.462 1945.18,259.124 1946.38,258.111 1947.58,257.773 1948.19,257.097 1949.39,256.76 1950.59,255.409 1951.19,254.733 1952.4,255.071 1953.6,253.382 1954.2,253.382 1955.41,253.044 1956.61,252.707 1957.21,251.355 1958.42,251.355 1959.62,250.342 1960.22,250.004 1961.43,250.004 1962.63,248.991 1963.23,248.315 1964.44,247.978 1965.64,247.64 1966.24,247.302 1967.45,246.627 1968.65,245.613 1969.25,245.951 1970.46,244.938 1971.66,244.262 1972.26,244.262 1973.47,243.249 1974.67,241.898 1975.27,242.911 1976.48,241.222 1977.68,240.885 1978.28,241.222 1979.48,239.871 1980.69,238.858 1981.29,238.858 1982.49,238.52 1983.7,237.507 1984.3,237.507 1985.5,236.831 1986.71,235.818 1987.31,235.818 1988.51,234.805 1989.72,233.791 1990.32,234.129 1991.52,233.116 1992.73,232.44 1993.33,231.765 1994.53,231.427 1995.13,230.751 1996.34,230.076 1997.54,230.076 1998.75,229.063 1999.35,228.725 2000.55,228.387 2001.76,227.036 2002.36,227.712 2003.56,226.023 2004.76,225.347 2005.37,225.347 2006.57,224.672 2007.17,223.996 2008.38,223.996 2009.58,222.645 2010.18,222.307 2011.39,221.969 2012.59,221.294 2013.79,220.281 2014.4,220.956 2015.6,219.943 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1195.8,730.314 1197,729.301 1197.6,729.639 1198.81,728.288 1200.01,726.937 1200.61,726.937 1201.82,726.261 1203.02,724.572 1203.62,725.248 1204.83,723.897 1205.43,722.883 1206.63,722.883 1207.84,721.532 1208.44,720.519 1209.64,720.519 1210.85,719.506 1211.45,719.168 1212.65,718.83 1213.86,717.479 1215.06,716.803 1215.66,716.803 1216.87,715.79 1217.47,715.115 1218.67,714.439 1219.88,713.426 1220.48,712.75 1221.68,712.412 1222.89,711.399 1223.49,710.386 1224.69,710.386 1225.89,709.71 1227.1,708.697 1227.7,708.359 1228.9,707.684 1229.51,707.346 1230.71,706.333 1231.91,705.319 1232.52,704.981 1233.72,704.306 1234.92,703.968 1235.53,702.279 1236.73,702.617 1237.93,700.928 1238.53,700.59 1239.74,700.59 1240.94,698.902 1241.54,698.564 1242.75,698.226 1243.95,697.213 1244.55,696.537 1245.76,695.524 1246.96,694.848 1247.56,694.511 1248.77,693.835 1249.97,693.159 1250.57,692.484 1251.78,691.808 1252.98,690.795 1253.58,690.795 1254.79,689.782 1255.99,688.768 1256.59,688.093 1257.8,687.755 1259,687.08 1259.6,686.404 1260.81,686.066 1262.01,684.715 1262.61,684.715 1263.81,684.377 1265.02,683.364 1265.62,683.026 1266.82,682.013 1268.03,681.337 1268.63,680.324 1269.83,680.324 1271.04,679.311 1271.64,678.635 1272.84,677.96 1274.05,676.609 1274.65,676.609 1275.85,675.933 1277.06,675.258 1277.66,674.92 1278.86,674.244 1280.07,673.569 1280.67,672.555 1281.87,672.555 1283.08,671.542 1283.68,670.529 1284.88,670.529 1286.09,669.516 1286.69,668.164 1287.89,667.827 1289.1,667.489 1289.7,666.476 1290.9,666.138 1292.1,665.124 1292.71,664.111 1293.91,664.111 1295.11,662.76 1295.72,662.76 1296.92,662.085 1298.12,660.734 1298.73,661.409 1299.93,660.058 1301.13,659.382 1301.74,659.382 1302.94,658.031 1304.14,657.356 1304.74,657.018 1305.95,656.005 1307.15,654.654 1307.75,654.654 1308.96,653.64 1310.16,652.965 1310.76,652.627 1311.97,651.276 1313.17,650.938 1313.77,649.925 1314.98,649.925 1316.18,649.249 1316.78,648.236 1317.99,647.898 1319.19,646.547 1319.79,645.872 1321,645.872 1322.2,645.196 1322.8,644.183 1324.01,643.507 1325.21,642.832 1325.81,642.832 1327.02,642.156 1328.22,640.805 1328.82,640.805 1330.02,639.792 1331.23,638.103 1331.83,639.116 1333.03,637.427 1334.24,637.09 1334.84,636.752 1336.04,635.401 1337.25,635.063 1337.85,635.063 1339.05,634.05 1340.26,632.699 1340.86,632.699 1342.06,632.023 1343.27,631.01 1343.87,630.334 1345.07,629.659 1346.28,628.307 1346.88,628.307 1348.08,627.97 1349.29,626.281 1349.89,626.281 1351.09,625.605 1352.3,625.268 1352.9,623.579 1354.1,623.579 1355.31,622.565 1355.91,621.89 1357.11,621.552 1358.31,620.201 1358.92,619.863 1360.12,619.525 1361.32,618.174 1361.93,618.174 1363.13,617.499 1364.33,616.823 1364.94,616.486 1366.14,615.472 1367.34,614.121 1367.95,614.459 1369.15,613.446 1370.35,613.446 1370.95,612.432 1372.16,611.081 1373.36,610.743 1373.96,610.406 1375.17,609.392 1376.37,608.379 1376.97,608.717 1378.18,607.028 1379.38,606.69 1379.98,606.015 1381.19,605.339 1382.39,604.664 1382.99,603.988 1384.2,603.312 1385.4,602.299 1386,602.299 1387.21,601.624 1388.41,600.272 1389.01,600.272 1390.22,599.259 1391.42,598.584 1392.02,598.246 1393.23,597.57 1394.43,596.557 1395.03,596.219 1396.23,595.882 1397.44,593.855 1398.04,594.868 1399.24,593.855 1400.45,592.842 1401.05,592.842 1402.25,591.828 1403.46,591.153 1404.06,590.139 1405.26,589.802 1406.47,588.451 1407.07,588.788 1408.27,587.775 1409.48,586.762 1410.08,586.762 1411.28,585.748 1412.49,584.735 1413.09,585.073 1414.29,583.384 1414.89,582.708 1416.1,582.371 1417.3,581.695 1418.51,580.682 1419.11,580.682 1420.31,579.668 1421.52,578.655 1422.12,578.655 1423.32,577.642 1424.52,575.953 1425.13,576.629 1426.33,575.615 1426.93,574.94 1428.14,574.602 1429.34,573.589 1429.94,572.575 1431.15,572.575 1432.35,571.9 1432.95,570.549 1434.16,570.549 1435.36,569.535 1436.56,569.198 1437.16,568.522 1438.37,567.509 1438.97,567.171 1440.17,566.495 1441.38,565.82 1441.98,565.144 1443.18,564.807 1444.39,564.131 1444.99,562.442 1446.19,562.78 1447.4,561.767 1448.6,561.429 1449.2,560.753 1450.41,560.078 1451.01,559.74 1452.21,559.064 1453.42,558.727 1454.02,557.376 1455.22,557.038 1456.43,556.7 1457.03,555.349 1458.23,556.025 1459.44,553.998 1460.04,553.66 1461.24,554.336 1462.44,553.322 1463.05,552.985 1464.25,552.647 1465.45,551.971 1466.06,551.296 1467.26,550.62 1468.46,549.607 1469.07,548.931 1470.27,548.931 1471.47,547.58 1472.08,547.243 1473.28,546.905 1474.48,545.554 1475.08,545.891 1476.29,544.54 1477.49,544.203 1478.09,543.189 1479.3,542.514 1480.5,542.176 1481.1,541.5 1482.31,541.163 1483.51,539.812 1484.11,539.136 1485.32,538.798 1486.52,537.785 1487.12,537.447 1488.33,536.096 1489.53,535.758 1490.13,535.083 1491.34,534.745 1492.54,533.732 1493.14,533.394 1494.35,533.732 1495.55,532.718 1496.15,531.705 1497.36,531.367 1498.56,530.354 1499.16,530.354 1500.37,529.341 1501.57,528.665 1502.17,528.327 1503.37,527.652 1504.58,526.638 1505.18,525.963 1506.38,525.963 1507.59,524.95 1508.19,523.936 1509.39,523.936 1510.6,522.585 1511.2,522.923 1512.4,521.234 1513.61,520.896 1514.21,520.559 1515.41,519.208 1516.62,518.87 1517.22,517.857 1518.42,517.519 1519.63,516.505 1520.23,516.168 1521.43,515.492 1522.64,514.817 1523.24,514.479 1524.44,513.803 1525.65,512.79 1526.25,512.114 1527.45,511.777 1528.65,511.439 1529.26,509.75 1530.46,510.088 1531.66,508.399 1532.27,508.399 1533.47,508.061 1534.67,506.71 1535.28,506.71 1536.48,505.697 1537.68,505.697 1538.29,504.683 1539.49,504.008 1540.69,502.995 1541.3,502.995 1542.5,501.644 1543.7,501.644 1544.3,500.968 1545.51,499.955 1546.71,498.941 1547.31,499.955 1548.52,497.928 1549.72,497.59 1550.32,497.253 1551.53,496.239 1552.73,494.888 1553.33,494.55 1554.54,494.55 1555.74,493.537 1556.34,493.537 1557.55,492.862 1558.75,491.848 1559.35,491.51 1560.56,490.159 1561.76,489.146 1562.36,489.146 1563.57,488.47 1564.77,487.795 1565.37,486.782 1566.58,486.444 1567.78,485.431 1568.38,485.093 1569.58,484.755 1570.79,483.404 1571.39,483.404 1572.59,482.728 1573.8,482.053 1574.4,481.377 1575.6,480.702 1576.81,480.026 1577.41,479.351 1578.61,479.013 1579.82,478 1580.42,478 1581.62,476.986 1582.83,475.973 1583.43,476.311 1584.63,474.284 1585.84,473.609 1586.44,474.622 1587.64,472.933 1588.85,471.582 1589.45,471.92 1590.65,470.906 1591.86,470.231 1592.46,470.231 1593.66,469.218 1594.86,468.88 1595.47,468.542 1596.67,467.529 1597.87,466.853 1598.48,466.178 1599.68,465.502 1600.88,465.164 1601.49,464.489 1602.69,463.813 1603.89,462.124 1604.5,462.462 1605.7,461.787 1606.9,460.773 1607.5,461.111 1608.71,459.76 1609.91,459.084 1610.51,458.747 1611.72,458.071 1612.92,457.058 1613.52,457.058 1614.73,455.707 1615.93,455.031 1616.53,455.707 1617.74,455.031 1618.94,454.018 1619.54,454.356 1620.75,453.68 1621.95,453.342 1622.55,452.329 1623.76,451.653 1624.36,450.64 1625.56,450.64 1626.77,449.627 1627.97,448.951 1628.57,448.951 1629.78,447.262 1630.98,446.587 1631.58,446.587 1632.79,445.574 1633.99,444.898 1634.59,444.898 1635.79,443.547 1636.4,443.209 1637.6,442.871 1638.8,441.858 1640.01,441.183 1640.61,440.507 1641.81,440.169 1643.02,439.156 1643.62,438.48 1644.82,437.805 1646.03,436.792 1646.63,436.792 1647.83,436.116 1648.43,435.44 1649.64,434.765 1650.84,434.089 1651.44,433.076 1652.65,432.738 1653.85,431.725 1655.06,431.387 1655.66,430.712 1656.86,429.698 1658.07,429.361 1658.67,428.685 1659.87,427.672 1660.47,427.334 1661.68,426.996 1662.88,425.983 1663.48,425.307 1664.69,425.307 1665.89,424.294 1666.49,423.618 1667.7,422.943 1668.9,422.267 1670.1,421.254 1670.71,421.254 1671.91,420.241 1672.51,420.241 1673.71,419.565 1674.92,418.214 1675.52,418.214 1676.72,417.539 1677.93,416.525 1678.53,415.85 1679.73,416.187 1680.94,415.174 1681.54,414.161 1682.74,413.823 1683.95,412.472 1684.55,412.134 1685.75,412.134 1686.96,411.459 1687.56,410.445 1688.76,410.108 1689.97,409.094 1690.57,408.757 1691.77,408.419 1692.98,407.405 1693.58,406.392 1694.78,406.054 1695.99,405.379 1696.59,404.703 1697.79,404.366 1699,403.352 1699.6,403.014 1700.8,402.339 1702,401.326 1702.61,400.65 1703.81,400.988 1705.01,399.637 1705.62,399.299 1706.82,398.623 1708.02,397.61 1708.63,396.935 1709.83,396.597 1711.03,396.259 1711.64,395.246 1712.84,394.908 1714.04,393.557 1714.64,393.557 1715.85,393.219 1717.05,391.868 1717.65,391.868 1718.86,391.193 1720.06,390.179 1720.66,390.517 1721.87,389.504 1723.07,388.828 1723.67,388.49 1724.88,387.139 1726.08,386.801 1726.68,386.464 1727.89,386.126 1729.09,384.775 1729.69,384.775 1730.9,384.099 1732.1,383.424 1732.7,383.086 1733.91,382.073 1735.11,381.397 1735.71,380.722 1736.92,380.384 1738.12,380.046 1738.72,378.695 1739.92,378.695 1741.13,377.006 1741.73,377.344 1742.93,376.668 1744.14,375.655 1744.74,375.655 1745.94,374.642 1747.15,373.966 1747.75,373.291 1748.95,373.291 1750.16,372.615 1750.76,371.94 1751.96,371.94 1753.17,370.588 1753.77,370.588 1754.97,369.575 1756.18,368.224 1756.78,368.9 1757.98,368.224 1759.19,366.873 1759.79,366.873 1760.99,365.86 1762.2,365.184 1762.8,365.184 1764,364.171 1765.21,363.495 1765.81,362.82 1767.01,362.82 1768.21,362.144 1768.82,361.469 1770.02,360.455 1771.22,359.442 1771.83,359.104 1773.03,358.429 1774.23,358.091 1774.84,357.415 1776.04,356.74 1777.24,355.727 1777.85,355.051 1779.05,355.051 1780.25,353.362 1780.85,353.7 1782.06,352.687 1783.26,352.687 1783.86,352.011 1785.07,351.336 1786.27,350.66 1786.87,350.322 1788.08,349.309 1789.28,349.309 1789.88,348.633 1791.09,347.958 1792.29,347.282 1792.89,346.607 1794.1,345.931 1795.3,344.58 1795.9,345.256 1797.11,344.242 1798.31,343.229 1798.91,343.905 1800.12,342.554 1801.32,341.878 1801.92,342.216 1803.13,340.527 1804.33,340.189 1804.93,339.851 1806.13,338.838 1807.34,338.838 1807.94,338.163 1809.14,337.825 1810.35,336.811 1810.95,336.811 1812.15,336.136 1813.36,335.123 1813.96,335.123 1815.16,334.109 1816.37,333.434 1816.97,333.434 1818.17,332.083 1819.38,331.407 1819.98,331.745 1821.18,330.394 1821.78,329.38 1822.99,329.38 1824.19,328.705 1825.4,327.692 1826,327.692 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#add our calculated plot\n",
    "#plot\n",
    "plt = Makie.plot(test_d,test_P, label = \"Test Data\")\n",
    "Makie.plot!(dis_in[1:endidx-1], P_lb[1:endidx-1], label = \"Calculated Displacement\",\n",
    "xlabel = \"Deflection (Inches)\", ylabel = \"Load (lb)\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 194,
   "metadata": {},
   "outputs": [],
   "source": [
    "store_dis = displacements\n",
    "store_fpe = fpe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 195,
   "metadata": {},
   "outputs": [],
   "source": [
    "println(\"Compare\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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