m_n_kappa.Crosssection#

class m_n_kappa.Crosssection(sections=None, slab_effective_widths=None)#

Bases: object

Combines a number of sections

New in version 0.1.0.

Parameters:

sections (list[Section]) – sections the cross-section consists of
slab_effective_widths (EffectiveWidths) – effective widths’ for the slab (concrete and reinforcement)

Examples

There are several ways you can create a cross-section. Basis are either a number of Section.

>>> 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=10.0, left_edge=-10.0)
>>> 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

The above create Section may be combined to a cross-section like:

>>> cross_section_top = steel_section + concrete_section_1
>>> cross_section_top
Crosssection(sections=sections)

Or alternatively like:

>>> from m_n_kappa import Crosssection
>>> sections_list = [steel_section, concrete_section_1]
>>> cross_section_bottom = Crosssection(sections=sections_list)
>>> cross_section_bottom
Crosssection(sections=sections)

This is also the only way nn case an EffectiveWidths is to be applied.

>>> from m_n_kappa import EffectiveWidths
>>> widths = EffectiveWidths(membran=2.0, bending=3.0)
>>> cross_section_3 = Crosssection(
...     sections=sections_list, slab_effective_widths=widths)
>>> cross_section_3.slab_effective_width.bending
3.0

By using a predifined ComposedGeometry a Crosssection may also be created easily:

>>> from m_n_kappa import IProfile
>>> i_geometry = IProfile(
...     top_edge=0.0, t_w=9.5, h_w=200-15*2 , t_fo=15.0, b_fo=200)
>>> cross_section_4 = i_geometry + steel
>>> cross_section_4
Crosssection(sections=sections)

Another Section may be added also on different ways:

>>> concrete_geometry_2 = Rectangle(
...     top_edge=0.0, bottom_edge=10.0, width=10.0, left_edge=0.0)
>>> concrete_section_2 = concrete + concrete_geometry_2
>>> cross_section_top = cross_section_top + concrete_section_2
>>> len(cross_section_top.sections)
3

>>> cross_section_bottom.add_section(concrete_section_2)
>>> len(cross_section_bottom.sections)
3

Subsequently, the Crosssection is needed for all computations.

Methods

`add_section`(section)	add a `Section` to this cross-section
`concrete_slab_width`()	full width of the concrete slab
`decisive_maximum_negative_strain_position`()	minimum of all maximum negative strains
`decisive_maximum_positive_strain_position`()	minimum of all maximum positive strains
`get_boundary_conditions`()	curvature boundary values under positive and negative curvature
`get_sub_cross_sections`()	get cross-section split into slab- and girder-sections (the sub-cross-sections)
`left_edge`()	outer left-edge of the concrete-slab
`maximum_negative_strain`()	determine maximum positive strain of all sections associated with this cross-section
`maximum_positive_strain`()	determine maximum positive strain of all sections associated with this cross-section
`right_edge`()	outer right-edge of the concrete-slab
`sections_not_of_type`(section_type)	get a list of sections that are not of the specified typ
`sections_of_type`(section_type)	get a list of sections that are of the specified type associated with this cross-section
`strain_positions`([strain_1, strain_2, ...])	get all `StrainPosition`-values between `strain_1` and `strain_2`

Attributes

`bottom_edge`	overall vertical position of the bottom edge of the cross-section \(z_\mathrm{bottom}\)
`girder_sections`	`Section` belonging to te girder
`half_point`	vertical middle between and bottom
`height`	height of the cross-section
`section_type`	section-type this cross-section is associated with, if it is only one
`sections`	all sections associated with this cross-section
`slab_effective_width`	effective widths of the (concrete) slab
`slab_sections`	all slab-sections of this cross-section
`top_edge`	top-edge of the cross-section \(z_\mathrm{top}\)

add_section(section)#

add a Section to this cross-section

Parameters:: section (Section) – section to add to this cross-section
Return type:: None
Raises:: ValueError – if section is not of type Section

concrete_slab_width()#

full width of the concrete slab

Return type:: float

decisive_maximum_negative_strain_position()#

minimum of all maximum negative strains

New in version 0.2.0.

Return type:: StrainPosition

decisive_maximum_positive_strain_position()#

minimum of all maximum positive strains

New in version 0.2.0.

Return type:: StrainPosition

get_boundary_conditions()#

curvature boundary values under positive and negative curvature

Returns:: curvature boundary values under positive and negative curvature
Return type:: Boundaries