{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Overdetermined Beam\n",
    "\n",
    "This example shows how to predict the behavior of a beam which is clamped at one end and\n",
    "simply supported at the other end when subjected to a linear distributed load.\n",
    "\n",
    "![](../assets/overdetermined-drawing.svg)"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using GXBeam, LinearAlgebra\n",
    "\n",
    "nelem = 16\n",
    "\n",
    "# create points\n",
    "L = 1\n",
    "x = range(0, L, length=nelem+1)\n",
    "y = zero(x)\n",
    "z = zero(x)\n",
    "points = [[x[i],y[i],z[i]] for i = 1:length(x)]\n",
    "\n",
    "# index of endpoints for each beam element\n",
    "start = 1:nelem\n",
    "stop = 2:nelem+1\n",
    "\n",
    "# create compliance matrix for each beam element\n",
    "EI = 1e7\n",
    "compliance = fill(Diagonal([0, 0, 0, 0, 1/EI, 0]), nelem)\n",
    "\n",
    "# create assembly\n",
    "assembly = Assembly(points, start, stop, compliance=compliance)\n",
    "\n",
    "# set prescribed conditions\n",
    "prescribed_conditions = Dict(\n",
    "    # simply supported left endpoint\n",
    "    1 => PrescribedConditions(uz=0),\n",
    "    # clamped right endpoint\n",
    "    nelem+1 => PrescribedConditions(ux=0, uy=0, uz=0, theta_x=0, theta_y=0,\n",
    "        theta_z=0)\n",
    ")\n",
    "\n",
    "# create distributed load\n",
    "qmax = 1000\n",
    "distributed_loads = Dict()\n",
    "for i = 1:nelem\n",
    "    distributed_loads[i] = DistributedLoads(assembly, i; s1=x[i],\n",
    "        s2=x[i+1], fz = (s) -> qmax*s)\n",
    "end\n",
    "\n",
    "# perform a static analysis\n",
    "system, state, converged = static_analysis(assembly;\n",
    "    prescribed_conditions = prescribed_conditions,\n",
    "    distributed_loads = distributed_loads,\n",
    "    linear = true)\n",
    "\n",
    "nothing #hide"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Comparison with Analytical Results"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "An analytical solution to this over-determined problem can be found using the method of\n",
    "superposition using the analytical solutions to a cantilever with a linearly distributed\n",
    "load and a cantilever with an end load."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "# construct analytical solution\n",
    "x_a = range(0.0, L, length=1000)\n",
    "w_a = @. qmax*(1-x_a)^2/(120*EI)*(4 - 8*(1-x_a) + 5*(1-x_a)^2 - (1-x_a)^3)\n",
    "slope_a = @. -qmax*(1-x_a)/(120*EI)*(8 - 24*(1-x_a) + 20*(1-x_a)^2 - 5*(1-x_a)^3)\n",
    "M_a = @. qmax/120*(8 - 48*(1-x_a) + 60*(1-x_a)^2 - 20*(1-x_a)^3)\n",
    "\n",
    "theta_a = -atan.(slope_a)\n",
    "\n",
    "# adjust coordinate system of analytical solution\n",
    "M_a = -M_a\n",
    "nothing #hide"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "Plotting the results reveals that the analytical and computational solutions show\n",
    "excellent agreement."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using Plots\n",
    "pyplot()\n",
    "nothing #hide"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=2}",
      "image/png": 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",
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     },
     "metadata": {},
     "execution_count": 4
    }
   ],
   "cell_type": "code",
   "source": [
    "plot(\n",
    "    xlim = (0.0, 1.0),\n",
    "    xticks = 0.0:0.2:1.0,\n",
    "    xlabel = \"x (m)\",\n",
    "    ylabel = \"Linear Deflection (m)\",\n",
    "    grid = false,\n",
    "    overwrite_figure=false\n",
    "    )\n",
    "\n",
    "x = [assembly.points[ipoint][1] + state.points[ipoint].u[1] for ipoint =\n",
    "    1:length(assembly.points)]\n",
    "deflection = [state.points[ipoint].u[3] for ipoint = 1:length(assembly.points)]\n",
    "plot!(x_a, w_a, label=\"Analytical\")\n",
    "scatter!(x, deflection, label=\"GXBeam\")"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=2}",
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",
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     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "cell_type": "code",
   "source": [
    "plot(\n",
    "    xlim = (0.0, 1.0),\n",
    "    xticks = 0.0:0.2:1.0,\n",
    "    xlabel = \"x (m)\",\n",
    "    ylabel = \"Angular Deflection (rad)\",\n",
    "    grid = false,\n",
    "    overwrite_figure=false\n",
    "    )\n",
    "\n",
    "x = [assembly.points[ipoint][1] + state.points[ipoint].u[1]\n",
    "    for ipoint = 1:length(assembly.points)]\n",
    "theta = [4*atan.(state.points[ipoint].theta[2]/4)\n",
    "    for ipoint = 1:length(assembly.points)]\n",
    "plot!(x_a, theta_a, label=\"Analytical\")\n",
    "scatter!(x, theta, label=\"GXBeam\")"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=2}",
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     "execution_count": 6
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   "cell_type": "code",
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    "plot(\n",
    "    xlim = (0.0, 1.0),\n",
    "    xticks = 0.0:0.2:1.0,\n",
    "    xlabel = \"x (m)\",\n",
    "    ylabel = \"Bending Moment (\\$Nm\\$)\",\n",
    "    grid = false,\n",
    "    overwrite_figure=false\n",
    "    )\n",
    "\n",
    "x = [assembly.elements[ielem].x[1] + state.elements[ielem].u[1] for ielem =\n",
    "    1:length(assembly.elements)]\n",
    "M = [state.elements[ielem].Mi[2] for ielem = 1:length(assembly.elements)]\n",
    "plot!(x_a, M_a, label=\"Analytical\")\n",
    "scatter!(x, M, label=\"GXBeam\")"
   ],
   "metadata": {},
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "source": [
    "Note that we could have easily performed a nonlinear analysis for this problem by\n",
    "setting `linear=false`."
   ],
   "metadata": {}
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   "cell_type": "markdown",
   "source": [
    "---\n",
    "\n",
    "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"
   ],
   "metadata": {}
  }
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