m_n_kappa.crosssection.ComputationCrosssectionStrain#

class m_n_kappa.crosssection.ComputationCrosssectionStrain(sections, strain, slab_effective_widths=None)#

Bases: ComputationCrosssection

computes a cross-section under a constant strain_value assuming zero curvature

New in version 0.1.0.

Parameters:

sections (list[Section] | Crosssection) – sections the cross_section consists of
strain (float) – applied constant strain_value \(\varepsilon\)
slab_effective_widths (EffectiveWidths) – effective widths’ for the slab (concrete and reinforcement)

See also

ComputationCrosssectionCurvature: computes a cross-section under a strain-distribution initialized by a curvature and a neutral-axis-value

Examples

>>> from m_n_kappa import IProfile, Steel
>>> steel = Steel(f_y=355.0)
>>> 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 = i_geometry + steel

To apply a strain onto the cross-section ComputationCrosssectionStrain has to be initialized as follows.

>>> from m_n_kappa.crosssection import ComputationCrosssectionStrain
>>> compute_cross_section = ComputationCrosssectionStrain(
...     sections=cross_section, strain=0.001)

The total axial-force is given by calling total_axial_force() as follows.

>>> compute_cross_section.total_axial_force()
1599150.0

The axial-force carryied by the slab (concrete + reinforcement) is computed by calling slab_sections_axial_force().

>>> compute_cross_section.slab_sections_axial_force()
0

Whereas the axial-force of the streel-girder is computed by girder_sections_axial_force().

>>> compute_cross_section.girder_sections_axial_force()
1599150.0

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)
`girder_sections_axial_force`()	summarized axial force of the girder sections
`girder_sections_moment`()	summarized moment of the girder 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
`slab_sections_axial_force`()	summarized axial forces of the slab sections
`slab_sections_moment`()	summarized moments of the slab sections
`strain_positions`([strain_1, strain_2, ...])	get all `StrainPosition`-values between `strain_1` and `strain_2`
`total_axial_force`()	summarized axial forces of the cross_section
`total_moment`()	summarized moments of the cross_section

Attributes

`bottom_edge`	overall vertical position of the bottom edge of the cross-section \(z_\mathrm{bottom}\)
`compute_sections`	`Section` in `sections` transformed into `ComputationSection`
`compute_split_sections`	split computation sections
`computed_girder_sections`	sections of the girder (computed)
`computed_slab_sections`	sections of the slab (computed)
`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
`strain`	applied strain_value to the 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