fedoo.constitutivelaw.BeamCircular

class BeamCircular(material, r, k=0.9, name='')

__init__(material, r, k=0.9, name='')

Properties for a beam with circular cross section.

Parameters:

• material (ConstitutiveLaw name (str) or ConstitutiveLaw object) – Material Constitutive Law used to get the elastic modulus and shear modulus. The ConstitutiveLaw object should have attributes E and G that gives the young and the shear modulus (as fedoo.constitutivelaw.ElasticIsotrop).

• r (scalar or arrays of gauss point values) – Radius of the beam section.

• k (scalar or arrays of gauss point values, default: 0.9) – Shear shape factor. If k=0 the beam use the bernoulli hypothesis. Default is set to 0.9 (usual value for cylindrical beam).

• name (str) – Name of the WeakForm.

Notes

The current beam formulation supports isotropic linear elastic materials only. Material orientations are ignored; the beam cross-section orientation is defined by the assembly element frame.

Methods

BeamCircular.compute_linear_density()
BeamCircular.compute_rotary_density()
BeamCircular.get_all()	Return a dict with all the known ConstitutiveLaw (with a name).
BeamCircular.get_beam_rigidity()
BeamCircular.get_local_frame([assembly])	Return material frames, resolved at assembly Gauss points.
BeamCircular.initialize(assembly, pb)	Initialize the constitutive law for the current problem.
BeamCircular.reset()	Reset the constitutive law.
BeamCircular.set_local_frame(local_frame[, ...])	Define the material coordinate frame.
BeamCircular.set_start(assembly, pb)	Begin a new time iteration.
BeamCircular.to_start(assembly, pb)	Restart the current time iteration.
BeamCircular.update(assembly, pb)	Update the constitutive law for the current problem state.

BeamCircular.linear_density	Mass per unit beam length.
BeamCircular.name	Name of the constitutive law.
BeamCircular.rotary_density	Mass moments of inertia per unit beam length.
BeamCircular.r	Radius of the beam section.
BeamCircular.A	Section surface
BeamCircular.Jx	Torsion constant
BeamCircular.Iyy	Second moment of area with respect to y
BeamCircular.Izz	Second moment of area with respect to z
BeamCircular.k	Shear shape factor.
BeamCircular.is_initialized	Tag set to True once the law is intialized.