API for developers#

General#

Classes

`StrainPosition`(strain, position, material)	Container for strains at a position_value within a given material
`EffectiveWidths`(membran[, bending, ...])	container holding the effective widths
`NotSuccessfulReason`([keyword, variable, ...])	Container for reasons why computation has not been successful

Methods

`curvature`(neutral_axis_value, ...)	curvature from strain at a position and neutral-axis
`curvature_by_points`(top_edge, bottom_edge, ...)	compute curvature by two given points
`strain`(neutral_axis_value, curvature_value, ...)	compute the strain from its position, the neutral axis and the curvature value
`position`(strain_at_position, ...)	compute the vertical position of a given strain using neutral-axis and curvature
`neutral_axis`(strain_at_position, ...)	compute the neutral axis from strain, its geometric position and the curvature
`remove_duplicates`(list_of_lists)
`positive_sign`(list_of_lists)
`negative_sign`(list_of_lists)
`interpolation`(position_value, first_pair, ...)	Linear interpolation between

check_width([width, left_edge, right_edge])

make sure all properties corresponding with the width of a Rectangle or Trapezoid are fulfilled.

`StressStrain`(stress, strain)	container for a stress-strain-point
`ConcreteCompression`(f_cm, yield_strain, E_cm)	Meta-class for concrete under compression
`ConcreteCompressionNonlinear`(f_cm, ...)	non-linear concrete behaviour according to EN 1992-1-1 [1]_
`ConcreteCompressionParabolaRectangle`(f_cm, E_cm)	parabola-rectangle behaviour of concrete under compression according to EN 1992-1-1 [1]_
`ConcreteCompressionBiLinear`(f_cm)	bi-linear behaviour of concrete under compression according to EN 1992-1-1 [1]_
`ConcreteTension`(f_cm, E_cm[, f_ctm, g_f, ...])	define concrete tensile behaviour

`ComputationSection`(geometry, material)	base class for specified ComputationsSection-classes
`ComputationSectionCurvature`(section, ...)	compute section given a curvature and a neutral axis
`ComputationSectionStrain`(section, strain_value)	compute section under a constant strain-value

Classes

`ComputationCrosssection`([sections, ...])	Base for computed cross-sections
`ComputationCrosssectionStrain`(sections, strain)	computes a cross-section under a constant strain_value assuming zero curvature
`ComputationCrosssectionCurvature`(...[, ...])	computes a cross-section given a curvature and a neutral axis
`ComputationCrosssectionStrainAdd`(...)	result of adding two ComputationCrosssectionStrain-classes to each other
`EdgeStrains`(bottom_edge_strain, top_edge_strain)	store strains at edges and compute curvature from these points
`CrossSectionBoundaries`(sections)	Compute the Boundary-Values for the cross_section

Methods

`axial_force`(sections)	compute the sum of axial-force from a list of computed sections
`moment`(sections)	compute the sum of moments from a list of computed sections
`determine_curvatures`(bottom_edge_strains, ...)	determine curvatures by combining the bottom- and top-edge-strains
`compute_neutral_axis`(edge_strains, starts_top)	compute the neutral axis with given curvature and strain a top or at bottom

Classes

`MaximumCurvature`(curvature, start, other, ...)	store values connected to maximum curvature
`MinimumCurvature`(...[, top_edge, bottom_edge])	store maximum positive and negative section strains for determination of minimum curvature
`BoundaryValues`(maximum_curvature, ...)	store boundary condition values
`Boundaries`(positive, negative, neutral_axes)	store boundary conditions

Methods

`compute_curvatures`(strain_position, ...)	compute curvatures from a position with associated strains and a list of strains with its associated positions
`remove_higher_strains`(strain, position_strains)	Return strain-position values where `strain`-attribute is smaller `strain`
`remove_smaller_strains`(strain, position_strains)	Return strain-position values where `strain`-attribute is greater `strain`
`get_lower_positions`(position, position_strains)	get all positions in 'position_strains', that are lower than the given position_value
`get_higher_positions`(position, position_strains)	get all positions in 'position_strains', that are higher than the given position_value

`Point`(cross_section, applied_axial_force[, ...])	base-class for computing equilibrium of axial-forces
`Computation`(iteration, ...[, curvature, ...])	stores the results of an iteration-step during a computation
`MKappa`(cross_section[, applied_axial_force, ...])	base class for computation of one Moment-Curvature-Point by varying the neutral axis
`MNByStrain`(cross_section, applied_axial_force)	computation of uniform strain leading to given axial-force
`AxialForcePoint`(sub_cross_sections, axial_force)	base class

`MNKappaCurvePoint`(moment, curvature, ...[, ...])	Container for single point on Moment-Axial-Force-Curvature-Curve
`MNKappaCurvePoints`([points])	Container for points on computed \(M\)-\(N\)-\(\kappa\)-Curve
`MNCurvatureCurve`([m_n_curve, ...])	compute moment-axial-force-curvature curve

`Solver`(data, target, variable)	Meta Solver-Class
`Bisection`(data, target, variable)	Bisection solver
`Newton`(data, target, variable)	Solver using the newton method

`GaussNewton`(f_i, x_0[, maximum_iterations, ...])	Gauss-Newton Solver for finding zero in a system of equations
`LevenbergMarquardt`(f_i, x_0[, ...])	Levenberg-Marquardt algorithm

`Vector`(entries)	New in version 0.2.0.
`Matrix`(matrix)	New in version 0.2.0.
`Jacobian`(f_i, x_i[, f_xi, h, ...])	Jacobian Matrix
`Identity`(row_column_number[, diagonal_value])	Identity Matrix
`LinearEquationsSystem`(coefficients, constants)	Solve System of linear equations of type :math:`mathbf{A} vec{x} =

Metaclass single span loading conditions shall be derived from

Classes

`LoadStep`(load, point)	Load-step re-computed from a `MKappaCurvePoint`
`Loading`(beam_length, nodes[, load])	compute the load-steps by analysis of decisive m-kappa-curve
`Deformation`(position, load, deformation[, ...])	container for computed deformations
`Deformations`(deformations)	container for number of deformations
`Element`(nodes, strain_differences, axial_force)