SectionProperties#

Bases: object

Class for storing section properties.

Stores calculated section properties. Also provides methods to calculate section properties entirely derived from other section properties.

Variables:

area (float | None) – Cross-sectional area
perimeter (float | None) – Cross-sectional perimeter
mass (float | None) – Cross-sectional mass
ea (float | None) – Modulus weighted area (axial rigidity)
ga (float | None) – Modulus weighted product of shear modulus and area
nu_eff (float | None) – Effective Poisson’s ratio
e_eff (float | None) – Effective elastic modulus
g_eff (float | None) – Effective shear modulus
qx (float | None) – First moment of area about the x-axis
qy (float | None) – First moment of area about the y-axis
ixx_g (float | None) – Second moment of area about the global x-axis
iyy_g (float | None) – Second moment of area about the global y-axis
ixy_g (float | None) – Second moment of area about the global xy-axis
cx (float | None) – X coordinate of the elastic centroid
cy (float | None) – Y coordinate of the elastic centroid
ixx_c (float | None) – Second moment of area about the centroidal x-axis
iyy_c (float | None) – Second moment of area about the centroidal y-axis
ixy_c (float | None) – Second moment of area about the centroidal xy-axis
zxx_plus (float | None) – Section modulus about the centroidal x-axis for stresses at the positive extreme value of y
zxx_minus (float | None) – Section modulus about the centroidal x-axis for stresses at the negative extreme value of y
zyy_plus (float | None) – Section modulus about the centroidal y-axis for stresses at the positive extreme value of x
zyy_minus (float | None) – Section modulus about the centroidal y-axis for stresses at the negative extreme value of x
rx_c (float | None) – Radius of gyration about the centroidal x-axis.
ry_c (float | None) – Radius of gyration about the centroidal y-axis.
i11_c (float | None) – Second moment of area about the centroidal 11-axis
i22_c (float | None) – Second moment of area about the centroidal 22-axis
phi (float | None) – Principal axis angle
z11_plus (float | None) – Section modulus about the principal 11-axis for stresses at the positive extreme value of the 22-axis
z11_minus (float | None) – Section modulus about the principal 11-axis for stresses at the negative extreme value of the 22-axis
z22_plus (float | None) – Section modulus about the principal 22-axis for stresses at the positive extreme value of the 11-axis
z22_minus (float | None) – Section modulus about the principal 22-axis for stresses at the negative extreme value of the 11-axis
r11_c (float | None) – Radius of gyration about the principal 11-axis.
r22_c (float | None) – Radius of gyration about the principal 22-axis.
j (float | None) – Torsion constant
omega (np.ndarray | None) – Warping function
psi_shear (np.ndarray | None) – Psi shear function
phi_shear (np.ndarray | None) – Phi shear function
delta_s (float | None) – Shear factor
x_se (float | None) – x-coordinate of the shear centre (elasticity approach)
y_se (float | None) – y-coordinate of the shear centre (elasticity approach)
x11_se (float | None) – 11-coordinate of the shear centre (elasticity approach)
y22_se (float | None) – 22-coordinate of the shear centre (elasticity approach)
x_st (float | None) – x-coordinate of the shear centre (Trefftz’s approach)
y_st (float | None) – y-coordinate of the shear centre (Trefftz’s approach)
gamma (float | None) – Warping constant
a_sx (float | None) – Shear area about the x-axis
a_sy (float | None) – Shear area about the y-axis
a_sxy (float | None) – Shear area about the xy-axis
a_s11 (float | None) – Shear area about the 11-bending axis
a_s22 (float | None) – Shear area about the 22-bending axis
beta_x_plus (float | None) – Monosymmetry constant for bending about the x-axis with the top flange in compression
beta_x_minus (float | None) – Monosymmetry constant for bending about the x-axis with the bottom flange in compression
beta_y_plus (float | None) – Monosymmetry constant for bending about the y-axis with the top flange in compression
beta_y_minus (float | None) – Monosymmetry constant for bending about the y-axis with the bottom flange in compression
beta_11_plus (float | None) – Monosymmetry constant for bending about the 11-axis with the top flange in compression
beta_11_minus (float | None) – Monosymmetry constant for bending about the 11-axis with the bottom flange in compression
beta_22_plus (float | None) – Monosymmetry constant for bending about the 22-axis with the top flange in compression
beta_22_minus (float | None) – Monosymmetry constant for bending about the 22-axis with the bottom flange in compression
x_pc (float | None) – x-coordinate of the global plastic centroid
y_pc (float | None) – y-coordinate of the global plastic centroid
x11_pc (float | None) – 11-coordinate of the principal plastic centroid
y22_pc (float | None) – 22-coordinate of the principal plastic centroid
sxx (float | None) – Plastic section modulus about the centroidal x-axis
syy (float | None) – Plastic section modulus about the centroidal y-axis
sf_xx_plus (float | None) – Shape factor for bending about the x-axis with respect to the top fibre
sf_xx_minus (float | None) – Shape factor for bending about the x-axis with respect to the bottom fibre
sf_yy_plus (float | None) – Shape factor for bending about the y-axis with respect to the top fibre
sf_yy_minus (float | None) – Shape factor for bending about the y-axis with respect to the bottom fibre
s11 (float | None) – Plastic section modulus about the 11-axis
s22 (float | None) – Plastic section modulus about the 22-axis
sf_11_plus (float | None) – Shape factor for bending about the 11-axis with respect to the top fibre
sf_11_minus (float | None) – Shape factor for bending about the 11-axis with respect to the bottom fibre
sf_22_plus (float | None) – Shape factor for bending about the 22-axis with respect to the top fibre
sf_22_minus (float | None) – Shape factor for bending about the 22-axis with respect to the bottom fibre

Methods

`asdict`	Returns the SectionProperties dataclass object as a dictionary.
`calculate_centroidal_properties`	Calculates and stores derived geometric properties.
`calculate_elastic_centroid`	Calculates and stores the elastic centroid.

Attributes

`a_s11`
`a_s22`
`a_sx`
`a_sxy`
`a_sy`
`area`
`beta_11_minus`
`beta_11_plus`
`beta_22_minus`
`beta_22_plus`
`beta_x_minus`
`beta_x_plus`
`beta_y_minus`
`beta_y_plus`
`cx`
`cy`
`delta_s`
`e_eff`
`ea`
`g_eff`
`ga`
`gamma`
`i11_c`
`i22_c`
`ixx_c`
`ixx_g`
`ixy_c`
`ixy_g`
`iyy_c`
`iyy_g`
`j`
`mass`
`nu_eff`
`omega`
`perimeter`
`phi`
`phi_shear`
`psi_shear`
`qx`
`qy`
`r11_c`
`r22_c`
`rx_c`
`ry_c`
`s11`
`s22`
`sf_11_minus`
`sf_11_plus`
`sf_22_minus`
`sf_22_plus`
`sf_xx_minus`
`sf_xx_plus`
`sf_yy_minus`
`sf_yy_plus`
`sxx`
`syy`
`x11_pc`
`x11_se`
`x_pc`
`x_se`
`x_st`
`y22_pc`
`y22_se`
`y_pc`
`y_se`
`y_st`
`z11_minus`
`z11_plus`
`z22_minus`
`z22_plus`
`zxx_minus`
`zxx_plus`
`zyy_minus`
`zyy_plus`

asdict() → dict[source]#

Returns the SectionProperties dataclass object as a dictionary.

Returns:: Dictionary of the SectionProperties class
Return type:: dict

calculate_elastic_centroid() → None[source]#

Calculates and stores the elastic centroid.

Raises:: RuntimeError – If geometric properties have not already been calculated

calculate_centroidal_properties(node_list: list[list[float]]) → None[source]#

Calculates and stores derived geometric properties.

Parameters:: node_list (list[list[float]]) – List of mesh node coordinates
Raises:: RuntimeError – If geometric properties have not already been calculated