.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/trusses/plot_truss09.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_auto_examples_trusses_plot_truss09.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_trusses_plot_truss09.py:


================================================================
Post-buckling of a truss column using Arc-Length Control.
================================================================

This is the same structure as in problem :ref:`sphx_glr_auto_examples_trusses_plot_truss07.py` but
it will be solved using arc-length-control.

Author: Peter Mackenzie-Helnwein

.. GENERATED FROM PYTHON SOURCE LINES 13-14

Setup

.. GENERATED FROM PYTHON SOURCE LINES 14-24

.. code-block:: Python

    import numpy as np
    import matplotlib.pyplot as plt

    from femedu.examples import Example

    from femedu.domain import System, Node
    from femedu.elements.finite import Truss
    from femedu.materials import FiberMaterial
    from femedu.solver import NewtonRaphsonSolver








.. GENERATED FROM PYTHON SOURCE LINES 25-26

Create the example by subclassing the :py:class:`Example`

.. GENERATED FROM PYTHON SOURCE LINES 26-177

.. code-block:: Python


    class ExampleTruss09(Example):

        def problem(self):
            # units
            mm = 1.
            m = 1000. * mm
            N  = 1.0
            kN = 1000. * N
            MN = 1000. * kN
            Pa = N / m**2
            MPa = 1.e6 * Pa
            GPa = 1000. * MPa

            # mesh parameters
            H = 5.00 * m
            W = H / 20

            Px = 0.05 * kN

            #Ny = 11
            Ny = 20

            params_vert = dict(
                E = 200 * GPa,
                A = 10 * mm**2
            )

            params_diag = dict(
                E = 200 * GPa,
                A = 50 * mm**2
            )

            params_brace = dict(
                E = 200 * GPa,
                A = 50 * mm**2
            )

            EI = params_vert['E'] * params_vert['A'] * W**2 / 2
            Py = EI * np.pi**2 / (2*H)**2

            # initialize a system model
            model = System()
            model.setSolver(NewtonRaphsonSolver())

            # create floor nodes
            h = 0.0
            nd0 = Node(0.0, h)
            nd1 = Node(  W, h)

            nd_00 = nd0
            nd_01 = nd1

            model.addNode(nd0, nd1)

            for layer in range(Ny):
                h += H / Ny
                nd_10 = Node(0.0, h)
                nd_11 = Node(  W, h)

                model.addNode(nd_10, nd_11)

                # create elements
                model += Truss(nd_00, nd_10, FiberMaterial(params_vert))
                model += Truss(nd_01, nd_11, FiberMaterial(params_vert))
                model += Truss(nd_00, nd_11, FiberMaterial(params_diag))
                model += Truss(nd_10, nd_11, FiberMaterial(params_brace))

                # prep for the next level
                nd_00 = nd_10
                nd_01 = nd_11

            # apply boundary conditions
            nd0.fixDOF(['ux','uy'])
            nd1.fixDOF(['ux','uy'])

            # build reference load
            nd_10.addLoad([-Py/2],['uy'])
            nd_11.addLoad([-Py/2],['uy'])
            nd_10.addLoad([ Px/2],['ux'])
            nd_11.addLoad([ Px/2],['ux'])

            # write out report
            model.report()

            # create plots
            model.setLoadFactor(1.0)    # needed to show the reference load
            model.plot(factor=0., filename="truss08_undeformed.png", show_loads=1, show_bc=1, title="Undeformed System")

            #
            # performing the analysis
            #
            model.resetDisp()
            model.setLoadFactor(0.0)
            model.solve()

            # set up data collection
            load_list = [ 0.0 ]
            data_list = [ nd_11.getDisp() ]

            # initialize the arc-length parameters
            model.initArcLength(load_increment=0.33, alpha=0.04, tolerance=1.0e-4)

            # increments until the load level exceeds 2.0
            #
            # use a counter to prevent run-away analysis
            maxSteps = 100
            nSteps = 0

            while True:  # an endless loop

                # mode by one reference arc-length
                model.stepArcLength(max_iter=20, verbose=True)

                # collect data
                load_list.append(model.loadfactor)
                data_list.append(nd_11.getDisp())

                # emergency exit for run-away jobs
                nSteps += 1
                if nSteps > maxSteps:
                    print("Maximum number of load steps exceeded")
                    break

                if model.loadfactor > 2.0:
                    print(f"Reached the target load level after {nSteps} steps")
                    break

            # plot the deformed shape
            model.plot(factor=1.0,
                       title="Deformed Sytem at Transition to Displacement Control",
                       filename="truss09_deformed_end_load_control.png",
                       show_loads=False, show_reactions=False)

            #
            # create a nice summary plot
            #

            levels = np.array(load_list)
            data   = np.array(data_list)

            plt.figure()
            plt.plot(data, levels, '--o')

            plt.grid(True)
            plt.xlabel('displacements $ u_i $')
            plt.ylabel('load factor $ \\lambda $')
            plt.legend(['$ u_x $','$ u_y $'])
            plt.savefig("truss09_deformation_history.png")
            plt.show()








.. GENERATED FROM PYTHON SOURCE LINES 192-194

Run the example by creating an instance of the problem and executing it by calling :py:meth:`Example.run()`


.. GENERATED FROM PYTHON SOURCE LINES 194-199

.. code-block:: Python


    if __name__ == "__main__":
        ex = ExampleTruss09()
        ex.run()




.. rst-class:: sphx-glr-horizontal


    *

      .. image-sg:: /auto_examples/trusses/images/sphx_glr_plot_truss09_001.png
         :alt: Undeformed System
         :srcset: /auto_examples/trusses/images/sphx_glr_plot_truss09_001.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /auto_examples/trusses/images/sphx_glr_plot_truss09_002.png
         :alt: Deformed Sytem at Transition to Displacement Control
         :srcset: /auto_examples/trusses/images/sphx_glr_plot_truss09_002.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /auto_examples/trusses/images/sphx_glr_plot_truss09_003.png
         :alt: plot truss09
         :srcset: /auto_examples/trusses/images/sphx_glr_plot_truss09_003.png
         :class: sphx-glr-multi-img


.. rst-class:: sphx-glr-script-out

 .. code-block:: none


    System Analysis Report
    =======================

    Nodes:
    ---------------------
      Node_135:
          x:    [0.000 0.000]
          fix:  ['ux', 'uy']
          u:    None
      Node_136:
          x:    [250.000 0.000]
          fix:  ['ux', 'uy']
          u:    None
      Node_137:
          x:    [0.000 250.000]
          u:    None
      Node_138:
          x:    [250.000 250.000]
          u:    None
      Node_139:
          x:    [0.000 500.000]
          u:    None
      Node_140:
          x:    [250.000 500.000]
          u:    None
      Node_141:
          x:    [0.000 750.000]
          u:    None
      Node_142:
          x:    [250.000 750.000]
          u:    None
      Node_143:
          x:    [0.000 1000.000]
          u:    None
      Node_144:
          x:    [250.000 1000.000]
          u:    None
      Node_145:
          x:    [0.000 1250.000]
          u:    None
      Node_146:
          x:    [250.000 1250.000]
          u:    None
      Node_147:
          x:    [0.000 1500.000]
          u:    None
      Node_148:
          x:    [250.000 1500.000]
          u:    None
      Node_149:
          x:    [0.000 1750.000]
          u:    None
      Node_150:
          x:    [250.000 1750.000]
          u:    None
      Node_151:
          x:    [0.000 2000.000]
          u:    None
      Node_152:
          x:    [250.000 2000.000]
          u:    None
      Node_153:
          x:    [0.000 2250.000]
          u:    None
      Node_154:
          x:    [250.000 2250.000]
          u:    None
      Node_155:
          x:    [0.000 2500.000]
          u:    None
      Node_156:
          x:    [250.000 2500.000]
          u:    None
      Node_157:
          x:    [0.000 2750.000]
          u:    None
      Node_158:
          x:    [250.000 2750.000]
          u:    None
      Node_159:
          x:    [0.000 3000.000]
          u:    None
      Node_160:
          x:    [250.000 3000.000]
          u:    None
      Node_161:
          x:    [0.000 3250.000]
          u:    None
      Node_162:
          x:    [250.000 3250.000]
          u:    None
      Node_163:
          x:    [0.000 3500.000]
          u:    None
      Node_164:
          x:    [250.000 3500.000]
          u:    None
      Node_165:
          x:    [0.000 3750.000]
          u:    None
      Node_166:
          x:    [250.000 3750.000]
          u:    None
      Node_167:
          x:    [0.000 4000.000]
          u:    None
      Node_168:
          x:    [250.000 4000.000]
          u:    None
      Node_169:
          x:    [0.000 4250.000]
          u:    None
      Node_170:
          x:    [250.000 4250.000]
          u:    None
      Node_171:
          x:    [0.000 4500.000]
          u:    None
      Node_172:
          x:    [250.000 4500.000]
          u:    None
      Node_173:
          x:    [0.000 4750.000]
          u:    None
      Node_174:
          x:    [250.000 4750.000]
          u:    None
      Node_175:
          x:    [0.000 5000.000]
          P:    [25.000 -3084.251]
          u:    None
      Node_176:
          x:    [250.000 5000.000]
          P:    [25.000 -3084.251]
          u:    None

    Elements:
    ---------------------
      Truss: Node_135 to Node_137:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_136 to Node_138:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_135 to Node_138:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_137 to Node_138:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_137 to Node_139:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_138 to Node_140:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_137 to Node_140:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_139 to Node_140:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_139 to Node_141:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_140 to Node_142:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_139 to Node_142:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_141 to Node_142:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_141 to Node_143:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_142 to Node_144:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_141 to Node_144:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_143 to Node_144:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_143 to Node_145:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_144 to Node_146:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_143 to Node_146:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_145 to Node_146:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_145 to Node_147:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_146 to Node_148:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_145 to Node_148:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_147 to Node_148:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_147 to Node_149:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_148 to Node_150:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_147 to Node_150:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_149 to Node_150:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_149 to Node_151:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_150 to Node_152:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_149 to Node_152:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_151 to Node_152:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_151 to Node_153:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_152 to Node_154:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_151 to Node_154:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_153 to Node_154:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_153 to Node_155:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_154 to Node_156:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_153 to Node_156:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_155 to Node_156:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_155 to Node_157:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_156 to Node_158:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_155 to Node_158:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_157 to Node_158:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_157 to Node_159:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_158 to Node_160:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_157 to Node_160:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_159 to Node_160:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_159 to Node_161:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_160 to Node_162:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_159 to Node_162:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_161 to Node_162:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_161 to Node_163:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_162 to Node_164:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_161 to Node_164:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_163 to Node_164:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_163 to Node_165:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_164 to Node_166:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_163 to Node_166:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_165 to Node_166:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_165 to Node_167:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_166 to Node_168:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_165 to Node_168:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_167 to Node_168:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_167 to Node_169:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_168 to Node_170:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_167 to Node_170:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_169 to Node_170:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_169 to Node_171:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_170 to Node_172:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_169 to Node_172:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_171 to Node_172:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_171 to Node_173:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_172 to Node_174:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_171 to Node_174:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_173 to Node_174:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_173 to Node_175:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_174 to Node_176:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_173 to Node_176:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0
      Truss: Node_175 to Node_176:
          material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.0   stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.0

    +
    +
    +
    Last converged state stored at lam=0.33
    norm of the out-of-balance force:   8.2920e+04 with g=  8.2879e+04
    norm of the out-of-balance force:   1.6569e+06 with g= -1.6521e+06
    norm of the out-of-balance force:   5.1266e+05 with g= -5.1266e+05
    norm of the out-of-balance force:   1.4611e+05 with g= -1.3796e+05
    norm of the out-of-balance force:   2.5723e+04 with g= -2.5721e+04
    norm of the out-of-balance force:   9.5233e+03 with g= -9.0877e+03
    norm of the out-of-balance force:   3.2146e+02 with g= -3.0907e+02
    norm of the out-of-balance force:   1.6638e+01 with g= -1.5828e+01
    norm of the out-of-balance force:   3.5671e-03 with g= -3.3529e-03
    norm of the out-of-balance force:   5.5540e-08 with g= -9.2359e-10
    +
    Last converged state stored at lam=0.6227422697123645
    norm of the out-of-balance force:   6.6676e+04 with g=  6.5221e+04
    norm of the out-of-balance force:   2.0449e+05 with g= -2.0391e+05
    norm of the out-of-balance force:   5.5408e+04 with g= -5.5408e+04
    norm of the out-of-balance force:   6.1144e+03 with g= -5.7866e+03
    norm of the out-of-balance force:   9.2764e+01 with g= -9.0033e+01
    norm of the out-of-balance force:   1.1474e+00 with g= -1.1337e+00
    norm of the out-of-balance force:   1.0110e-05 with g= -9.6344e-06
    +
    Last converged state stored at lam=0.787647858831627
    norm of the out-of-balance force:   4.9724e+04 with g=  2.0696e+04
    norm of the out-of-balance force:   2.1897e+04 with g= -2.1891e+04
    norm of the out-of-balance force:   6.3454e+03 with g= -6.3454e+03
    norm of the out-of-balance force:   1.1488e+02 with g= -1.0849e+02
    norm of the out-of-balance force:   3.5700e-02 with g= -3.3758e-02
    norm of the out-of-balance force:   1.2329e-07 with g= -1.0866e-07
    +
    Last converged state stored at lam=0.8582211678855424
    norm of the out-of-balance force:   5.8126e+04 with g=  3.7905e+03
    norm of the out-of-balance force:   2.1377e+03 with g= -2.1375e+03
    norm of the out-of-balance force:   1.8609e+02 with g= -1.8609e+02
    norm of the out-of-balance force:   1.0489e-01 with g= -9.8989e-02
    norm of the out-of-balance force:   4.9708e-08 with g= -2.8062e-08
    +
    Last converged state stored at lam=0.8947444636355311
    norm of the out-of-balance force:   6.0363e+04 with g=  1.0152e+03
    norm of the out-of-balance force:   5.6786e+02 with g= -5.6741e+02
    norm of the out-of-balance force:   1.2622e+01 with g= -1.2621e+01
    norm of the out-of-balance force:   4.8446e-04 with g= -4.5715e-04
    norm of the out-of-balance force:   5.5756e-08 with g=  7.2760e-12
    +
    Last converged state stored at lam=0.9171595588454392
    norm of the out-of-balance force:   6.0976e+04 with g=  3.8238e+02
    norm of the out-of-balance force:   2.5692e+02 with g= -2.5596e+02
    norm of the out-of-balance force:   2.0406e+00 with g= -2.0405e+00
    norm of the out-of-balance force:   1.2702e-05 with g= -1.1993e-05
    +
    Last converged state stored at lam=0.9325833500342546
    norm of the out-of-balance force:   6.1208e+04 with g=  1.8105e+02
    norm of the out-of-balance force:   1.5454e+02 with g= -1.5294e+02
    norm of the out-of-balance force:   6.0771e-01 with g= -6.0763e-01
    norm of the out-of-balance force:   1.1339e-06 with g= -1.0685e-06
    +
    Last converged state stored at lam=0.9441053338225337
    norm of the out-of-balance force:   6.1318e+04 with g=  1.0104e+02
    norm of the out-of-balance force:   1.1112e+02 with g= -1.0887e+02
    norm of the out-of-balance force:   2.7131e-01 with g= -2.7126e-01
    norm of the out-of-balance force:   2.3165e-07 with g= -2.1401e-07
    +
    Last converged state stored at lam=0.9532736531530919
    norm of the out-of-balance force:   6.1380e+04 with g=  6.3973e+01
    norm of the out-of-balance force:   8.9769e+01 with g= -8.6957e+01
    norm of the out-of-balance force:   1.5665e-01 with g= -1.5661e-01
    norm of the out-of-balance force:   8.4460e-08 with g= -7.1683e-08
    +
    Last converged state stored at lam=0.9609482768676192
    norm of the out-of-balance force:   6.1419e+04 with g=  4.4826e+01
    norm of the out-of-balance force:   7.8195e+01 with g= -7.4943e+01
    norm of the out-of-balance force:   1.0626e-01 with g= -1.0622e-01
    norm of the out-of-balance force:   7.5056e-08 with g= -3.3098e-08
    +
    Last converged state stored at lam=0.967645074742044
    norm of the out-of-balance force:   6.1446e+04 with g=  3.4131e+01
    norm of the out-of-balance force:   7.1504e+01 with g= -6.7928e+01
    norm of the out-of-balance force:   7.9850e-02 with g= -7.9819e-02
    norm of the out-of-balance force:   5.4054e-08 with g= -1.8768e-08
    +
    Last converged state stored at lam=0.9736925116512775
    norm of the out-of-balance force:   6.1467e+04 with g=  2.7833e+01
    norm of the out-of-balance force:   6.7488e+01 with g= -6.3683e+01
    norm of the out-of-balance force:   6.4196e-02 with g= -6.4164e-02
    norm of the out-of-balance force:   4.4052e-08 with g= -1.2109e-08
    +
    Last converged state stored at lam=0.9793099729067144
    norm of the out-of-balance force:   6.1484e+04 with g=  2.4016e+01
    norm of the out-of-balance force:   6.5055e+01 with g= -6.1097e+01
    norm of the out-of-balance force:   5.4067e-02 with g= -5.4034e-02
    norm of the out-of-balance force:   4.8265e-08 with g= -8.6566e-09
    +
    Last converged state stored at lam=0.9846498954569803
    norm of the out-of-balance force:   6.1498e+04 with g=  2.1701e+01
    norm of the out-of-balance force:   6.3628e+01 with g= -5.9573e+01
    norm of the out-of-balance force:   4.7092e-02 with g= -4.7057e-02
    norm of the out-of-balance force:   4.6065e-08 with g= -6.6375e-09
    +
    Last converged state stored at lam=0.9898218124584849
    norm of the out-of-balance force:   6.1511e+04 with g=  2.0357e+01
    norm of the out-of-balance force:   6.2879e+01 with g= -5.8772e+01
    norm of the out-of-balance force:   4.2071e-02 with g= -4.2033e-02
    norm of the out-of-balance force:   4.1005e-08 with g= -5.2660e-09
    +
    Last converged state stored at lam=0.9949067620146373
    norm of the out-of-balance force:   6.1523e+04 with g=  1.9678e+01
    norm of the out-of-balance force:   6.2617e+01 with g= -5.8492e+01
    norm of the out-of-balance force:   3.8345e-02 with g= -3.8302e-02
    norm of the out-of-balance force:   4.5872e-08 with g= -4.4147e-09
    +
    Last converged state stored at lam=0.9999662825781825
    norm of the out-of-balance force:   6.1534e+04 with g=  1.9482e+01
    norm of the out-of-balance force:   6.2725e+01 with g= -5.8608e+01
    norm of the out-of-balance force:   3.5524e-02 with g= -3.5475e-02
    norm of the out-of-balance force:   4.6537e-08 with g= -3.7835e-09
    +
    Last converged state stored at lam=1.0050482281891235
    norm of the out-of-balance force:   6.1545e+04 with g=  1.9655e+01
    norm of the out-of-balance force:   6.3129e+01 with g= -5.9040e+01
    norm of the out-of-balance force:   3.3366e-02 with g= -3.3310e-02
    norm of the out-of-balance force:   4.6562e-08 with g= -3.3069e-09
    +
    Last converged state stored at lam=1.010190642795217
    norm of the out-of-balance force:   6.1556e+04 with g=  2.0126e+01
    norm of the out-of-balance force:   6.3781e+01 with g= -5.9738e+01
    norm of the out-of-balance force:   3.1715e-02 with g= -3.1650e-02
    norm of the out-of-balance force:   5.3767e-08 with g= -3.0559e-09
    +
    Last converged state stored at lam=1.015424410289963
    norm of the out-of-balance force:   6.1566e+04 with g=  2.0847e+01
    norm of the out-of-balance force:   6.4651e+01 with g= -6.0668e+01
    norm of the out-of-balance force:   3.0466e-02 with g= -3.0389e-02
    norm of the out-of-balance force:   4.9668e-08 with g= -2.8158e-09
    +
    Last converged state stored at lam=1.0207751097708821
    norm of the out-of-balance force:   6.1577e+04 with g=  2.1789e+01
    norm of the out-of-balance force:   6.5720e+01 with g= -6.1807e+01
    norm of the out-of-balance force:   2.9545e-02 with g= -2.9455e-02
    norm of the out-of-balance force:   3.9835e-08 with g= -2.6394e-09
    +
    Last converged state stored at lam=1.0262643416213055
    norm of the out-of-balance force:   6.1587e+04 with g=  2.2932e+01
    norm of the out-of-balance force:   6.6975e+01 with g= -6.3142e+01
    norm of the out-of-balance force:   2.8903e-02 with g= -2.8796e-02
    norm of the out-of-balance force:   4.8596e-08 with g= -2.5393e-09
    +
    Last converged state stored at lam=1.031910693271557
    norm of the out-of-balance force:   6.1597e+04 with g=  2.4264e+01
    norm of the out-of-balance force:   6.8411e+01 with g= -6.4665e+01
    norm of the out-of-balance force:   2.8504e-02 with g= -2.8376e-02
    norm of the out-of-balance force:   4.7277e-08 with g= -2.5429e-09
    +
    Last converged state stored at lam=1.0377304546652366
    norm of the out-of-balance force:   6.1606e+04 with g=  2.5777e+01
    norm of the out-of-balance force:   7.0023e+01 with g= -6.6371e+01
    norm of the out-of-balance force:   2.8325e-02 with g= -2.8171e-02
    norm of the out-of-balance force:   6.1265e-08 with g= -2.4484e-09
    +
    Last converged state stored at lam=1.0437381567232127
    norm of the out-of-balance force:   6.1615e+04 with g=  2.7468e+01
    norm of the out-of-balance force:   7.1813e+01 with g= -6.8259e+01
    norm of the out-of-balance force:   2.8350e-02 with g= -2.8165e-02
    norm of the out-of-balance force:   4.4501e-08 with g= -2.4484e-09
    +
    Last converged state stored at lam=1.049946982610345
    norm of the out-of-balance force:   6.1624e+04 with g=  2.9338e+01
    norm of the out-of-balance force:   7.3783e+01 with g= -7.0332e+01
    norm of the out-of-balance force:   2.8568e-02 with g= -2.8346e-02
    norm of the out-of-balance force:   5.4980e-08 with g= -2.5993e-09
    +
    Last converged state stored at lam=1.0563690862662625
    norm of the out-of-balance force:   6.1633e+04 with g=  3.1389e+01
    norm of the out-of-balance force:   7.5938e+01 with g= -7.2592e+01
    norm of the out-of-balance force:   2.8975e-02 with g= -2.8709e-02
    norm of the out-of-balance force:   4.3615e-08 with g= -2.6612e-09
    +
    Last converged state stored at lam=1.0630158424409777
    norm of the out-of-balance force:   6.1641e+04 with g=  3.3623e+01
    norm of the out-of-balance force:   7.8283e+01 with g= -7.5045e+01
    norm of the out-of-balance force:   2.9572e-02 with g= -2.9252e-02
    norm of the out-of-balance force:   4.8932e-08 with g= -2.5830e-09
    +
    Last converged state stored at lam=1.0698980455464862
    norm of the out-of-balance force:   6.1649e+04 with g=  3.6047e+01
    norm of the out-of-balance force:   8.0826e+01 with g= -7.7698e+01
    norm of the out-of-balance force:   3.0362e-02 with g= -2.9979e-02
    norm of the out-of-balance force:   6.0872e-08 with g= -2.8176e-09
    +
    Last converged state stored at lam=1.0770260698602345
    norm of the out-of-balance force:   6.1655e+04 with g=  3.8668e+01
    norm of the out-of-balance force:   8.3575e+01 with g= -8.0558e+01
    norm of the out-of-balance force:   3.1352e-02 with g= -3.0895e-02
    norm of the out-of-balance force:   5.9064e-08 with g= -2.9158e-09
    +
    Last converged state stored at lam=1.0844100002764903
    norm of the out-of-balance force:   6.1661e+04 with g=  4.1495e+01
    norm of the out-of-balance force:   8.6542e+01 with g= -8.3636e+01
    norm of the out-of-balance force:   3.2554e-02 with g= -3.2008e-02
    norm of the out-of-balance force:   5.8583e-08 with g= -3.2269e-09
    +
    Last converged state stored at lam=1.092059740433294
    norm of the out-of-balance force:   6.1667e+04 with g=  4.4536e+01
    norm of the out-of-balance force:   8.9737e+01 with g= -8.6942e+01
    norm of the out-of-balance force:   3.3980e-02 with g= -3.3332e-02
    norm of the out-of-balance force:   7.7476e-08 with g= -3.5488e-09
    +
    Last converged state stored at lam=1.0999851033420847
    norm of the out-of-balance force:   6.1671e+04 with g=  4.7803e+01
    norm of the out-of-balance force:   9.3173e+01 with g= -9.0489e+01
    norm of the out-of-balance force:   3.5648e-02 with g= -3.4880e-02
    norm of the out-of-balance force:   4.4704e-08 with g= -3.7453e-09
    +
    Last converged state stored at lam=1.1081958884114473
    norm of the out-of-balance force:   6.1674e+04 with g=  5.1308e+01
    norm of the out-of-balance force:   9.6864e+01 with g= -9.4290e+01
    norm of the out-of-balance force:   3.7580e-02 with g= -3.6673e-02
    norm of the out-of-balance force:   6.1124e-08 with g= -4.1873e-09
    +
    Last converged state stored at lam=1.1167019478489053
    norm of the out-of-balance force:   6.1676e+04 with g=  5.5065e+01
    norm of the out-of-balance force:   1.0082e+02 with g= -9.8359e+01
    norm of the out-of-balance force:   3.9799e-02 with g= -3.8732e-02
    norm of the out-of-balance force:   4.6867e-08 with g= -4.6803e-09
    +
    Last converged state stored at lam=1.1255132447515372
    norm of the out-of-balance force:   6.1676e+04 with g=  5.9088e+01
    norm of the out-of-balance force:   1.0507e+02 with g= -1.0271e+02
    norm of the out-of-balance force:   4.2335e-02 with g= -4.1084e-02
    norm of the out-of-balance force:   6.0592e-08 with g= -5.1714e-09
    +
    Last converged state stored at lam=1.134639904691934
    norm of the out-of-balance force:   6.1675e+04 with g=  6.3393e+01
    norm of the out-of-balance force:   1.0962e+02 with g= -1.0737e+02
    norm of the out-of-balance force:   4.5221e-02 with g= -4.3758e-02
    norm of the out-of-balance force:   6.6086e-08 with g= -5.8644e-09
    +
    Last converged state stored at lam=1.1440922622254606
    norm of the out-of-balance force:   6.1672e+04 with g=  6.7998e+01
    norm of the out-of-balance force:   1.1450e+02 with g= -1.1235e+02
    norm of the out-of-balance force:   4.8497e-02 with g= -4.6791e-02
    norm of the out-of-balance force:   7.7302e-08 with g= -6.6339e-09
    +
    Last converged state stored at lam=1.1538809034547999
    norm of the out-of-balance force:   6.1668e+04 with g=  7.2923e+01
    norm of the out-of-balance force:   1.1972e+02 with g= -1.1767e+02
    norm of the out-of-balance force:   5.2205e-02 with g= -5.0224e-02
    norm of the out-of-balance force:   7.4820e-08 with g= -7.6761e-09
    +
    Last converged state stored at lam=1.164016705565621
    norm of the out-of-balance force:   6.1661e+04 with g=  7.8187e+01
    norm of the out-of-balance force:   1.2531e+02 with g= -1.2336e+02
    norm of the out-of-balance force:   5.6397e-02 with g= -5.4102e-02
    norm of the out-of-balance force:   6.9010e-08 with g= -8.7875e-09
    +
    Last converged state stored at lam=1.1745108740755632
    norm of the out-of-balance force:   6.1652e+04 with g=  8.3814e+01
    norm of the out-of-balance force:   1.3129e+02 with g= -1.2944e+02
    norm of the out-of-balance force:   6.1130e-02 with g= -5.8479e-02
    norm of the out-of-balance force:   5.9241e-08 with g= -1.0205e-08
    +
    Last converged state stored at lam=1.1853749784055951
    norm of the out-of-balance force:   6.1641e+04 with g=  8.9827e+01
    norm of the out-of-balance force:   1.3769e+02 with g= -1.3593e+02
    norm of the out-of-balance force:   6.6472e-02 with g= -6.3418e-02
    norm of the out-of-balance force:   9.6528e-08 with g= -1.2116e-08
    +
    Last converged state stored at lam=1.1966209862786765
    norm of the out-of-balance force:   6.1627e+04 with g=  9.6253e+01
    norm of the out-of-balance force:   1.4454e+02 with g= -1.4287e+02
    norm of the out-of-balance force:   7.2497e-02 with g= -6.8988e-02
    norm of the out-of-balance force:   7.7449e-08 with g= -1.4306e-08
    +
    Last converged state stored at lam=1.208261297369124
    norm of the out-of-balance force:   6.1611e+04 with g=  1.0312e+02
    norm of the out-of-balance force:   1.5187e+02 with g= -1.5029e+02
    norm of the out-of-balance force:   7.9293e-02 with g= -7.5270e-02
    norm of the out-of-balance force:   6.1007e-08 with g= -1.6880e-08
    +
    Last converged state stored at lam=1.2203087765618053
    norm of the out-of-balance force:   6.1591e+04 with g=  1.1046e+02
    norm of the out-of-balance force:   1.5972e+02 with g= -1.5822e+02
    norm of the out-of-balance force:   8.6958e-02 with g= -8.2356e-02
    norm of the out-of-balance force:   6.4676e-08 with g= -2.0195e-08
    +
    Last converged state stored at lam=1.23277678712948
    norm of the out-of-balance force:   6.1569e+04 with g=  1.1831e+02
    norm of the out-of-balance force:   1.6812e+02 with g= -1.6670e+02
    norm of the out-of-balance force:   9.5605e-02 with g= -9.0351e-02
    norm of the out-of-balance force:   6.3492e-08 with g= -2.4231e-08
    +
    Last converged state stored at lam=1.245679224096322
    norm of the out-of-balance force:   6.1543e+04 with g=  1.2670e+02
    norm of the out-of-balance force:   1.7710e+02 with g= -1.7577e+02
    norm of the out-of-balance force:   1.0536e-01 with g= -9.9378e-02
    norm of the out-of-balance force:   7.8979e-08 with g= -2.9190e-08
    +
    Last converged state stored at lam=1.259030548023882
    norm of the out-of-balance force:   6.1513e+04 with g=  1.3566e+02
    norm of the out-of-balance force:   1.8672e+02 with g= -1.8546e+02
    norm of the out-of-balance force:   1.1638e-01 with g= -1.0957e-01
    norm of the out-of-balance force:   8.4059e-08 with g= -3.5336e-08
    +
    Last converged state stored at lam=1.2728458194301213
    norm of the out-of-balance force:   6.1479e+04 with g=  1.4526e+02
    norm of the out-of-balance force:   1.9703e+02 with g= -1.9584e+02
    norm of the out-of-balance force:   1.2883e-01 with g= -1.2110e-01
    norm of the out-of-balance force:   8.1417e-08 with g= -4.3045e-08
    +
    Last converged state stored at lam=1.2871407340321555
    norm of the out-of-balance force:   6.1442e+04 with g=  1.5552e+02
    norm of the out-of-balance force:   2.0806e+02 with g= -2.0694e+02
    norm of the out-of-balance force:   1.4290e-01 with g= -1.3414e-01
    norm of the out-of-balance force:   8.6345e-08 with g= -5.2773e-08
    +
    Last converged state stored at lam=1.3019316589872136
    norm of the out-of-balance force:   6.1400e+04 with g=  1.6650e+02
    norm of the out-of-balance force:   2.1989e+02 with g= -2.1883e+02
    norm of the out-of-balance force:   1.5882e-01 with g= -1.4889e-01
    norm of the out-of-balance force:   9.4068e-08 with g= -6.4577e-08
    +
    Last converged state stored at lam=1.317235670293451
    norm of the out-of-balance force:   6.1353e+04 with g=  1.7825e+02
    norm of the out-of-balance force:   2.3255e+02 with g= -2.3157e+02
    norm of the out-of-balance force:   1.7683e-01 with g= -1.6562e-01
    norm of the out-of-balance force:   1.0112e-07 with g= -7.9888e-08
    +
    Last converged state stored at lam=1.333070591502174
    norm of the out-of-balance force:   6.1302e+04 with g=  1.9083e+02
    norm of the out-of-balance force:   2.4614e+02 with g= -2.4521e+02
    norm of the out-of-balance force:   1.9725e-01 with g= -1.8458e-01
    norm of the out-of-balance force:   1.2784e-07 with g= -9.9009e-08
    +
    Last converged state stored at lam=1.3494550338847437
    norm of the out-of-balance force:   6.1245e+04 with g=  2.0431e+02
    norm of the out-of-balance force:   2.6070e+02 with g= -2.5983e+02
    norm of the out-of-balance force:   2.2040e-01 with g= -2.0610e-01
    norm of the out-of-balance force:   1.4475e-07 with g= -1.2323e-07
    +
    Last converged state stored at lam=1.3664084381908368
    norm of the out-of-balance force:   6.1183e+04 with g=  2.1874e+02
    norm of the out-of-balance force:   2.7632e+02 with g= -2.7551e+02
    norm of the out-of-balance force:   2.4668e-01 with g= -2.3056e-01
    norm of the out-of-balance force:   1.8412e-07 with g= -1.5395e-07
    +
    Last converged state stored at lam=1.3839511181292645
    norm of the out-of-balance force:   6.1115e+04 with g=  2.3421e+02
    norm of the out-of-balance force:   2.9309e+02 with g= -2.9233e+02
    norm of the out-of-balance force:   2.7654e-01 with g= -2.5838e-01
    norm of the out-of-balance force:   2.1078e-07 with g= -1.9299e-07
    +
    Last converged state stored at lam=1.402104305697945
    norm of the out-of-balance force:   6.1041e+04 with g=  2.5080e+02
    norm of the out-of-balance force:   3.1108e+02 with g= -3.1038e+02
    norm of the out-of-balance force:   3.1049e-01 with g= -2.9004e-01
    norm of the out-of-balance force:   2.5577e-07 with g= -2.4303e-07
    +
    Last converged state stored at lam=1.4208901984853834
    norm of the out-of-balance force:   6.0960e+04 with g=  2.6858e+02
    norm of the out-of-balance force:   3.3041e+02 with g= -3.2975e+02
    norm of the out-of-balance force:   3.4914e-01 with g= -3.2613e-01
    norm of the out-of-balance force:   3.3142e-07 with g= -3.0694e-07
    +
    Last converged state stored at lam=1.4403320090621925
    norm of the out-of-balance force:   6.0873e+04 with g=  2.8767e+02
    norm of the out-of-balance force:   3.5118e+02 with g= -3.5056e+02
    norm of the out-of-balance force:   3.9318e-01 with g= -3.6730e-01
    norm of the out-of-balance force:   4.1479e-07 with g= -3.8905e-07
    +
    Last converged state stored at lam=1.460454016577131
    norm of the out-of-balance force:   6.0779e+04 with g=  3.0815e+02
    norm of the out-of-balance force:   3.7350e+02 with g= -3.7293e+02
    norm of the out-of-balance force:   4.4341e-01 with g= -4.1432e-01
    norm of the out-of-balance force:   5.1853e-07 with g= -4.9448e-07
    +
    Last converged state stored at lam=1.4812816206678647
    norm of the out-of-balance force:   6.0677e+04 with g=  3.3014e+02
    norm of the out-of-balance force:   3.9750e+02 with g= -3.9697e+02
    norm of the out-of-balance force:   5.0077e-01 with g= -4.6808e-01
    norm of the out-of-balance force:   6.6232e-07 with g= -6.3049e-07
    +
    Last converged state stored at lam=1.502841397791728
    norm of the out-of-balance force:   6.0568e+04 with g=  3.5376e+02
    norm of the out-of-balance force:   4.2333e+02 with g= -4.2283e+02
    norm of the out-of-balance force:   5.6633e-01 with g= -5.2960e-01
    norm of the out-of-balance force:   8.4373e-07 with g= -8.0656e-07
    +
    Last converged state stored at lam=1.5251611600759247
    norm of the out-of-balance force:   6.0450e+04 with g=  3.7914e+02
    norm of the out-of-balance force:   4.5112e+02 with g= -4.5066e+02
    norm of the out-of-balance force:   6.4134e-01 with g= -6.0009e-01
    norm of the out-of-balance force:   1.0848e-06 with g= -1.0352e-06
    +
    Last converged state stored at lam=1.5482700167796377
    norm of the out-of-balance force:   6.0324e+04 with g=  4.0642e+02
    norm of the out-of-balance force:   4.8105e+02 with g= -4.8063e+02
    norm of the out-of-balance force:   7.2728e-01 with g= -6.8094e-01
    norm of the out-of-balance force:   1.3919e-06 with g= -1.3322e-06
    +
    Last converged state stored at lam=1.5721984384519325
    norm of the out-of-balance force:   6.0189e+04 with g=  4.3576e+02
    norm of the out-of-balance force:   5.1330e+02 with g= -5.1290e+02
    norm of the out-of-balance force:   8.2583e-01 with g= -7.7379e-01
    norm of the out-of-balance force:   1.8055e-06 with g= -1.7195e-06
    +
    Last converged state stored at lam=1.5969783238588153
    norm of the out-of-balance force:   6.0045e+04 with g=  4.6732e+02
    norm of the out-of-balance force:   5.4806e+02 with g= -5.4769e+02
    norm of the out-of-balance force:   9.3897e-01 with g= -8.8051e-01
    norm of the out-of-balance force:   2.3326e-06 with g= -2.2257e-06
    +
    Last converged state stored at lam=1.6226430697401106
    norm of the out-of-balance force:   5.9891e+04 with g=  5.0129e+02
    norm of the out-of-balance force:   5.8554e+02 with g= -5.8521e+02
    norm of the out-of-balance force:   1.0690e+00 with g= -1.0033e+00
    norm of the out-of-balance force:   3.0246e-06 with g= -2.8889e-06
    +
    Last converged state stored at lam=1.6492276434411508
    norm of the out-of-balance force:   5.9727e+04 with g=  5.3787e+02
    norm of the out-of-balance force:   6.2599e+02 with g= -6.2568e+02
    norm of the out-of-balance force:   1.2186e+00 with g= -1.1449e+00
    norm of the out-of-balance force:   3.9459e-06 with g= -3.7601e-06
    +
    Last converged state stored at lam=1.6767686584454533
    norm of the out-of-balance force:   5.9553e+04 with g=  5.7727e+02
    norm of the out-of-balance force:   6.6966e+02 with g= -6.6937e+02
    norm of the out-of-balance force:   1.3910e+00 with g= -1.3081e+00
    norm of the out-of-balance force:   5.1504e-06 with g= -4.9076e-06
    +
    Last converged state stored at lam=1.7053044528118302
    norm of the out-of-balance force:   5.9368e+04 with g=  6.1972e+02
    norm of the out-of-balance force:   7.1682e+02 with g= -7.1656e+02
    norm of the out-of-balance force:   1.5897e+00 with g= -1.4966e+00
    norm of the out-of-balance force:   6.7470e-06 with g= -6.4226e-06
    +
    Last converged state stored at lam=1.7348751704921308
    norm of the out-of-balance force:   5.9171e+04 with g=  6.6549e+02
    norm of the out-of-balance force:   7.6779e+02 with g= -7.6755e+02
    norm of the out-of-balance force:   1.8192e+00 with g= -1.7144e+00
    norm of the out-of-balance force:   8.8509e-06 with g= -8.4272e-06
    +
    Last converged state stored at lam=1.7655228454734126
    norm of the out-of-balance force:   5.8964e+04 with g=  7.1485e+02
    norm of the out-of-balance force:   8.2290e+02 with g= -8.2268e+02
    norm of the out-of-balance force:   2.0844e+00 with g= -1.9666e+00
    norm of the out-of-balance force:   1.1645e-05 with g= -1.1086e-05
    +
    Last converged state stored at lam=1.7972914886498852
    norm of the out-of-balance force:   5.8744e+04 with g=  7.6810e+02
    norm of the out-of-balance force:   8.8253e+02 with g= -8.8233e+02
    norm of the out-of-balance force:   2.3913e+00 with g= -2.2587e+00
    norm of the out-of-balance force:   1.5360e-05 with g= -1.4623e-05
    +
    Last converged state stored at lam=1.8302271772847247
    norm of the out-of-balance force:   5.8512e+04 with g=  8.2557e+02
    norm of the out-of-balance force:   9.4707e+02 with g= -9.4688e+02
    norm of the out-of-balance force:   2.7469e+00 with g= -2.5976e+00
    norm of the out-of-balance force:   2.0315e-05 with g= -1.9337e-05
    +
    Last converged state stored at lam=1.8643781468686256
    norm of the out-of-balance force:   5.8267e+04 with g=  8.8761e+02
    norm of the out-of-balance force:   1.0170e+03 with g= -1.0168e+03
    norm of the out-of-balance force:   3.1592e+00 with g= -2.9911e+00
    norm of the out-of-balance force:   2.6932e-05 with g= -2.5637e-05
    +
    Last converged state stored at lam=1.8997948851201156
    norm of the out-of-balance force:   5.8009e+04 with g=  9.5463e+02
    norm of the out-of-balance force:   1.0927e+03 with g= -1.0926e+03
    norm of the out-of-balance force:   3.6379e+00 with g= -3.4485e+00
    norm of the out-of-balance force:   3.5804e-05 with g= -3.4074e-05
    +
    Last converged state stored at lam=1.9365302278005143
    norm of the out-of-balance force:   5.7738e+04 with g=  1.0270e+03
    norm of the out-of-balance force:   1.1748e+03 with g= -1.1747e+03
    norm of the out-of-balance force:   4.1944e+00 with g= -3.9807e+00
    norm of the out-of-balance force:   4.7694e-05 with g= -4.5400e-05
    +
    Last converged state stored at lam=1.9746394559331968
    norm of the out-of-balance force:   5.7453e+04 with g=  1.1053e+03
    norm of the out-of-balance force:   1.2639e+03 with g= -1.2638e+03
    norm of the out-of-balance force:   4.8419e+00 with g= -4.6008e+00
    norm of the out-of-balance force:   6.3686e-05 with g= -6.0642e-05
    +
    Reached the target load level after 78 steps





.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 2.022 seconds)


.. _sphx_glr_download_auto_examples_trusses_plot_truss09.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_truss09.ipynb <plot_truss09.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_truss09.py <plot_truss09.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_truss09.zip <plot_truss09.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_