Display Results#
This example demonstrates how to display results in sectionproperties.
A 165.1 x 5.4 CHS will be analysed and the differences in the display_results() output highlighted.
Create Geometry and Section#
[1]:
from sectionproperties.analysis import Section
from sectionproperties.pre.library import circular_hollow_section
geom = circular_hollow_section(d=165.1, t=5.4, n=64)
geom.create_mesh(mesh_sizes=10)
sec = Section(geometry=geom)
sec.plot_mesh(materials=False)
[1]:
<Axes: title={'center': 'Finite Element Mesh'}>
The display_results() method will print all the results that have been calculated for the Section object. If an analysis has not been conducted, no results will display.
[2]:
sec.display_results()
Section Properties ┏━━━━━━━━━━┳━━━━━━━┓ ┃ Property ┃ Value ┃ ┡━━━━━━━━━━╇━━━━━━━┩ └──────────┴───────┘
[3]:
sec.calculate_geometric_properties()
sec.display_results()
Section Properties ┏━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓ ┃ Property ┃ Value ┃ ┡━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩ │ area │ 2.704897e+03 │ │ perimeter │ 5.184687e+02 │ │ qx │ 3.063860e-11 │ │ qy │ 3.751666e-12 │ │ ixx_g │ 8.619244e+06 │ │ iyy_g │ 8.619244e+06 │ │ ixy_g │ -1.491571e-09 │ │ cx │ 1.386990e-15 │ │ cy │ 1.132709e-14 │ │ ixx_c │ 8.619244e+06 │ │ iyy_c │ 8.619244e+06 │ │ ixy_c │ -1.491571e-09 │ │ zxx+ │ 1.044124e+05 │ │ zxx- │ 1.044124e+05 │ │ zyy+ │ 1.044124e+05 │ │ zyy- │ 1.044124e+05 │ │ rx │ 5.644939e+01 │ │ ry │ 5.644939e+01 │ │ i11_c │ 8.619244e+06 │ │ i22_c │ 8.619244e+06 │ │ phi │ 0.000000e+00 │ │ z11+ │ 1.044124e+05 │ │ z11- │ 1.044124e+05 │ │ z22+ │ 1.044124e+05 │ │ z22- │ 1.044124e+05 │ │ r11 │ 5.644939e+01 │ │ r22 │ 5.644939e+01 │ └───────────┴───────────────┘
The formatting can be changed by passing a formatting string to the fmt argument, see here for more information on string formatting.
[4]:
sec.display_results(fmt=".1f")
Section Properties ┏━━━━━━━━━━━┳━━━━━━━━━━━┓ ┃ Property ┃ Value ┃ ┡━━━━━━━━━━━╇━━━━━━━━━━━┩ │ area │ 2704.9 │ │ perimeter │ 518.5 │ │ qx │ 0.0 │ │ qy │ 0.0 │ │ ixx_g │ 8619243.5 │ │ iyy_g │ 8619243.5 │ │ ixy_g │ -0.0 │ │ cx │ 0.0 │ │ cy │ 0.0 │ │ ixx_c │ 8619243.5 │ │ iyy_c │ 8619243.5 │ │ ixy_c │ -0.0 │ │ zxx+ │ 104412.4 │ │ zxx- │ 104412.4 │ │ zyy+ │ 104412.4 │ │ zyy- │ 104412.4 │ │ rx │ 56.4 │ │ ry │ 56.4 │ │ i11_c │ 8619243.5 │ │ i22_c │ 8619243.5 │ │ phi │ 0.0 │ │ z11+ │ 104412.4 │ │ z11- │ 104412.4 │ │ z22+ │ 104412.4 │ │ z22- │ 104412.4 │ │ r11 │ 56.4 │ │ r22 │ 56.4 │ └───────────┴───────────┘
When more analyses are conducted, more results are displayed.
[5]:
sec.calculate_warping_properties()
sec.calculate_plastic_properties()
sec.display_results()
Section Properties ┏━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓ ┃ Property ┃ Value ┃ ┡━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩ │ area │ 2.704897e+03 │ │ perimeter │ 5.184687e+02 │ │ qx │ 3.063860e-11 │ │ qy │ 3.751666e-12 │ │ ixx_g │ 8.619244e+06 │ │ iyy_g │ 8.619244e+06 │ │ ixy_g │ -1.491571e-09 │ │ cx │ 1.386990e-15 │ │ cy │ 1.132709e-14 │ │ ixx_c │ 8.619244e+06 │ │ iyy_c │ 8.619244e+06 │ │ ixy_c │ -1.491571e-09 │ │ zxx+ │ 1.044124e+05 │ │ zxx- │ 1.044124e+05 │ │ zyy+ │ 1.044124e+05 │ │ zyy- │ 1.044124e+05 │ │ rx │ 5.644939e+01 │ │ ry │ 5.644939e+01 │ │ i11_c │ 8.619244e+06 │ │ i22_c │ 8.619244e+06 │ │ phi │ 0.000000e+00 │ │ z11+ │ 1.044124e+05 │ │ z11- │ 1.044124e+05 │ │ z22+ │ 1.044124e+05 │ │ z22- │ 1.044124e+05 │ │ r11 │ 5.644939e+01 │ │ r22 │ 5.644939e+01 │ │ j │ 1.723507e+07 │ │ x_se │ -5.413764e-14 │ │ y_se │ 4.403193e-14 │ │ x1_se │ -5.552463e-14 │ │ y2_se │ 3.270485e-14 │ │ x_st │ -4.677381e-14 │ │ y_st │ 1.860535e-14 │ │ gamma │ 2.199645e+03 │ │ a_sx │ 1.354759e+03 │ │ a_sy │ 1.354759e+03 │ │ a_s11 │ 1.354759e+03 │ │ a_s22 │ 1.354759e+03 │ │ beta_x+ │ 8.159041e-14 │ │ beta_x- │ -8.159041e-14 │ │ beta_y+ │ -1.040259e-13 │ │ beta_y- │ 1.040259e-13 │ │ beta_11+ │ 8.159041e-14 │ │ beta_11- │ -8.159041e-14 │ │ beta_22+ │ -1.040259e-13 │ │ beta_22- │ 1.040259e-13 │ │ x_pc │ 1.386990e-15 │ │ y_pc │ 1.132709e-14 │ │ x11_pc │ 1.386990e-15 │ │ y22_pc │ 1.132709e-14 │ │ sxx │ 1.374429e+05 │ │ syy │ 1.374429e+05 │ │ s11 │ 1.374429e+05 │ │ s22 │ 1.374429e+05 │ │ sf_xx+ │ 1.316346e+00 │ │ sf_xx- │ 1.316346e+00 │ │ sf_yy+ │ 1.316346e+00 │ │ sf_yy- │ 1.316346e+00 │ │ sf_11+ │ 1.316346e+00 │ │ sf_11- │ 1.316346e+00 │ │ sf_22+ │ 1.316346e+00 │ │ sf_22- │ 1.316346e+00 │ └───────────┴───────────────┘
Because we have not specified any material properties, the displayed properties are purely geometric. If we assign a steel material to the CHS, we will see some results change to material property weighted values (see here for more information on how material properties affect results).
[6]:
from sectionproperties.pre import Material
# create steel material
steel = Material(
name="Steel",
elastic_modulus=200e3, # N/mm^2 (MPa)
poissons_ratio=0.3, # unitless
density=7.85e-6, # kg/mm^3
yield_strength=500, # N/mm^2 (MPa)
color="grey",
)
geom.material = steel # assign steel to the CHS
# remesh and recreate Section object
geom.create_mesh(mesh_sizes=5)
sec = Section(geometry=geom)
# perform analysis and display results
sec.calculate_geometric_properties()
sec.calculate_warping_properties()
sec.calculate_plastic_properties()
sec.display_results(fmt=".3e")
Section Properties ┏━━━━━━━━━━━┳━━━━━━━━━━━━┓ ┃ Property ┃ Value ┃ ┡━━━━━━━━━━━╇━━━━━━━━━━━━┩ │ area │ 2.705e+03 │ │ perimeter │ 5.185e+02 │ │ mass │ 2.123e-02 │ │ e.a │ 5.410e+08 │ │ e.qx │ -8.531e-07 │ │ e.qy │ -4.748e-06 │ │ e.ixx_g │ 1.724e+12 │ │ e.iyy_g │ 1.724e+12 │ │ e.ixy_g │ 2.253e-04 │ │ cx │ -8.776e-15 │ │ cy │ -1.577e-15 │ │ e.ixx_c │ 1.724e+12 │ │ e.iyy_c │ 1.724e+12 │ │ e.ixy_c │ 2.253e-04 │ │ e.zxx+ │ 2.088e+10 │ │ e.zxx- │ 2.088e+10 │ │ e.zyy+ │ 2.088e+10 │ │ e.zyy- │ 2.088e+10 │ │ rx │ 5.645e+01 │ │ ry │ 5.645e+01 │ │ e.i11_c │ 1.724e+12 │ │ e.i22_c │ 1.724e+12 │ │ phi │ 0.000e+00 │ │ e.z11+ │ 2.088e+10 │ │ e.z11- │ 2.088e+10 │ │ e.z22+ │ 2.088e+10 │ │ e.z22- │ 2.088e+10 │ │ r11 │ 5.645e+01 │ │ r22 │ 5.645e+01 │ │ e_eff │ 2.000e+05 │ │ g_eff │ 7.692e+04 │ │ nu_eff │ 3.000e-01 │ │ e.j │ 3.447e+12 │ │ x_se │ 2.476e-04 │ │ y_se │ 1.373e-04 │ │ x1_se │ 2.476e-04 │ │ y2_se │ 1.373e-04 │ │ x_st │ 2.493e-04 │ │ y_st │ 1.378e-04 │ │ e.gamma │ 4.862e+08 │ │ e.a_sx │ 2.709e+08 │ │ e.a_sy │ 2.709e+08 │ │ e.a_s11 │ 2.709e+08 │ │ e.a_s22 │ 2.709e+08 │ │ beta_x+ │ 2.747e-04 │ │ beta_x- │ -2.747e-04 │ │ beta_y+ │ 4.952e-04 │ │ beta_y- │ -4.952e-04 │ │ beta_11+ │ 2.747e-04 │ │ beta_11- │ -2.747e-04 │ │ beta_22+ │ 4.952e-04 │ │ beta_22- │ -4.952e-04 │ │ x_pc │ -8.776e-15 │ │ y_pc │ -1.577e-15 │ │ x11_pc │ -8.776e-15 │ │ y22_pc │ -1.577e-15 │ │ mp_xx │ 6.872e+07 │ │ mp_yy │ 6.872e+07 │ │ mp_11 │ 6.872e+07 │ │ mp_22 │ 6.872e+07 │ └───────────┴────────────┘