concreteproperties.analysis_section.Tri3#

class Tri3(el_id: int, coords: np.ndarray, node_ids: List[int], conc_material: Concrete)[source]#

Bases: object

Class for a three noded linear triangular element.

Parameters

el_id (int) – Unique element id
coords (numpy.ndarray) – A 2 x 3 array of the coordinates of the tri-3 nodes.
node_ids (List[int]) – A list of the global node ids for the current element
conc_material (Concrete) – Material object for the current finite element.

Methods

`calculate_elastic_actions`	Calculates elastic actions for the current finite element.
`calculate_service_actions`	Calculates service actions for the current finite element.
`calculate_ultimate_actions`	Calculates ultimate actions for the current finite element.
`second_moments_of_area`	Calculates the second moments of area for the current finite element.

Attributes

`el_id`
`coords`
`node_ids`
`conc_material`

second_moments_of_area() → Tuple[float][source]#

Calculates the second moments of area for the current finite element.

Returns: Modulus weighted second moments of area (e_ixx, e_iyy, e_ixy)
Return type: Tuple[float]

calculate_elastic_actions(n: float, m_x: float, m_y: float, e_a: float, cx: float, cy: float, e_ixx: float, e_iyy: float, e_ixy: float, theta: float) → Tuple[float][source]#

Calculates elastic actions for the current finite element.

Parameters

n (float) – Axial force
m_x (float) – Bending moment about the x-axis
m_y (float) – Bending moment about the y-axis
e_a (float) – Axial rigidity
cx (float) – x-Centroid
cy (float) – y-Centroid
e_ixx (float) – Flexural rigidity about the x-axis
e_iyy (float) – Flexural rigidity about the y-axis
e_ixy (float) – Flexural rigidity about the xy-axis
theta (float) – Angle (in radians) the neutral axis makes with the horizontal axis (\(-\pi \leq \theta \leq \pi\))

Returns

Elastic force and resultant moment

Return type

Tuple[float]

calculate_service_actions(point_na: Tuple[float], d_n: float, theta: float, kappa: float, na_local: float) → Tuple[float][source]#

Calculates service actions for the current finite element.

Parameters

point_na (Tuple[float]) – Point on the neutral axis
d_n (float) – Depth of the neutral axis from the extreme compression fibre
theta (float) – Angle (in radians) the neutral axis makes with the horizontal axis (\(-\pi \leq \theta \leq \pi\))
kappa (float) – Curvature
na_local (float) – y-location of the neutral axis in local coordinates

Returns

Axial force, resultant moment and maximum strain

Return type

Tuple[float]

calculate_ultimate_actions(point_na: Tuple[float], d_n: float, theta: float, ultimate_strain: float, pc_local: float) → Tuple[float][source]#

Calculates ultimate actions for the current finite element.

Parameters

point_na (Tuple[float]) – Point on the neutral axis
d_n (float) – Depth of the neutral axis from the extreme compression fibre
theta (float) – Angle (in radians) the neutral axis makes with the horizontal axis (\(-\pi \leq \theta \leq \pi\))
ultimate_strain (float) – Concrete strain at failure
pc_local (float) – y-location of the plastic centroid in local coordinates

Returns

Axial force and resultant moment

Return type

Tuple[float]