m_n_kappa.Node#

class m_n_kappa.Node(cross_section, position, m_kappa_curve=None)#

Bases: object

Beam-Node

New in version 0.1.0.

stores the cross-section, the position_value in the beam and the computed M-Kappa-Curve

Parameters:

cross_section (Crosssection) – Cross-section at this node
position (float) – position of the node along the beam
m_kappa_curve (MKappaCurvePoints) – if moment-curvature-curve has already been computed, then this may be passed here

Examples

For computation of a Node, first a :py:class.`~m_n_kappa.Crosssection` is needed.

>>> from m_n_kappa import Concrete, Steel, Rectangle
>>> concrete = Concrete(f_cm=35.0)
>>> concrete_geometry_1 = Rectangle(
...     top_edge=0.0, bottom_edge=10.0, width=20.0)
>>> concrete_section_1 = concrete + concrete_geometry_1
>>> steel = Steel(f_y=355.0)
>>> steel_geometry = Rectangle(
...     top_edge=10.0, bottom_edge=20.0, width=10.0)
>>> steel_section = steel + steel_geometry
>>> cross_section = concrete_section_1 + steel_section
>>> cross_section
Crosssection(sections=sections)

The node is initialized by:

>>> from m_n_kappa import Node
>>> node = Node(cross_section=cross_section, position=0.0)

During initialization the Moment-Curvature-Curve is computed. curvature() allows us to determine the corresponding curvature to a given moment

>>> node.curvature_by(moment=100)
1.4443096916449083e-07

For computation of the incremental deformation at this node use incremental_deformation().

Methods

`curvature_by`(moment)	compute curvature
`incremental_deformation`(load, single_load)	determine incremental deformation at this node

Attributes

`cross_section`	`Crosssection` at the node
`curve_points`	computed Moment-Curvature-Curve at the node
`node_number`
`number`	number of the node
`position`	position of the node along the beam

curvature_by(moment)#

compute curvature

Parameters:: moment (float) – moment that is associated with the curvature
Return type:: float

incremental_deformation(load, single_load)#

determine incremental deformation at this node

for the deformation the curvature and single-load-moment at the node under given loading are computed

Parameters:

load (ABCSingleSpan) – load applied to the beam
single_load (SingleSpanSingleLoads) – single-load applied at the point, where deformation is computed

Returns:

product from curvature and moment of the single-load at this node

Return type:

float

property cross_section: Crosssection#: Crosssection at the node

property curve_points: m_n_kappa.curves_m_kappa.MKappaCurvePoints | m_n_kappa.curves_m_n_kappa.MNKappaCurvePoints#: computed Moment-Curvature-Curve at the node

property number: int#: number of the node

property position: float#: position of the node along the beam