old_contents: r"""
  .. _ref_ex_simple:
  
  Simple Example
  --------------
  
  Calculate section properties of a circle.
  
  The following example calculates the geometric, warping and plastic properties
  of a 50 mm diameter circle. The circle is discretised with 64 points and a mesh
  size of 2.5 mm\ :sup:`2`.
  
  The geometry and mesh are plotted, and the mesh information printed to the terminal
  before the analysis is carried out. Detailed time information is printed to the
  terminal during the cross-section analysis stage. Once the analysis is complete,
  the cross-section properties are printed to the terminal. The centroidal
  axis second moments of area and torsion constant are saved to variables and it
  is shown that, for a circle, the torsion constant is equal to the sum of the
  second moments of area.
  """
  
  # sphinx_gallery_thumbnail_number = 1
  
  import sectionproperties.pre.library.standard_sections as sections
  from sectionproperties.analysis.section import Section
  import matplotlib as mpl
  
  # %%
  # Create a 50 diameter circle discretised by 64 points
  geometry = sections.circular_section(d=50, n=64)
  geometry.plot_geometry()
  
  # %%
  # Create a mesh with a mesh size of 2.5 and display information about it
  geometry.create_mesh(mesh_sizes=[2.5])
  
  section = Section(geometry, time_info=True)
  section.display_mesh_info()
  section.plot_mesh()
  
  # %%
  # perform a geometric, warping and plastic analysis, displaying the time info
  section.calculate_geometric_properties()
  section.calculate_warping_properties()
  section.calculate_plastic_properties()
  
  # %%
  # Print the results to the terminal
  section.display_results()
  
  # %%
  # Get and print the second moments of area and the torsion constant
  (ixx_c, iyy_c, ixy_c) = section.get_ic()
  j = section.get_j()
  print("Ixx + Iyy = {0:.3f}".format(ixx_c + iyy_c))
  print("J = {0:.3f}".format(j))
  
new_contents: r"""
  .. _ref_ex_simple:
  
  Simple Example
  --------------
  
  Calculate section properties of a circle.
  
  The following example calculates the geometric, warping and plastic properties
  of a 50 mm diameter circle. The circle is discretised with 64 points and a mesh
  size of 2.5 mm\ :sup:`2`.
  
  The geometry and mesh are plotted, and the mesh information printed to the terminal
  before the analysis is carried out. Detailed time information is printed to the
  terminal during the cross-section analysis stage. Once the analysis is complete,
  the cross-section properties are printed to the terminal. The centroidal
  axis second moments of area and torsion constant are saved to variables and it
  is shown that, for a circle, the torsion constant is equal to the sum of the
  second moments of area.
  """
  
  # sphinx_gallery_thumbnail_number = 1
  
  import sectionproperties.pre.library.standard_sections as sections
  from sectionproperties.analysis.section import Section
  import matplotlib as mpl
  
  # %%
  # Create a 50 diameter circle discretised by 64 points
  geometry = sections.circular_section(d=50, n=64)
  geometry.plot_geometry()
  
  # %%
  # Create a mesh with a mesh size of 2.5 and display information about it
  geometry.create_mesh(mesh_sizes=[2.5])
  
  section = Section(geometry, time_info=True)
  section.display_mesh_info()
  section.plot_mesh(alpha=1)
  
  # %%
  # perform a geometric, warping and plastic analysis, displaying the time info
  section.calculate_geometric_properties()
  section.calculate_warping_properties()
  section.calculate_plastic_properties()
  
  # %%
  # Print the results to the terminal
  section.display_results()
  
  # %%
  # Get and print the second moments of area and the torsion constant
  (ixx_c, iyy_c, ixy_c) = section.get_ic()
  j = section.get_j()
  print("Ixx + Iyy = {0:.3f}".format(ixx_c + iyy_c))
  print("J = {0:.3f}".format(j))
  
subject: modify alpha