Beam2D class

Parent class

Element classes

Class doc

class femedu.elements.linear.Beam2D.Beam2D(nodei, nodej, material, label=None)

Representing a 2D beam element.

Assumptions

The beam is defined along the X-axis. (Y-axis values are ignored)
Small displacements and small rotations
Navier’s and Bernoulli-Euler assumptions (plane sections and shear rigidity)
Linear elastic material (may change future releases)

The element is using dofs \(v\) (uy) and \(\theta=v'\) (rz)

Internal variables
self.nodes	nodes i and j (tuple)
self.material	pointer to Material object
self.force	internal force (list of arrays for shear, _V_, and moment, _M_)
self.Forces	nodal force vectors (list of np.arrays)
self.Kt	tangent stiffness (list of np.arrays)

getInternalForce(variable='')

computes vectors of normalized locations (s: ndarray) for which values (val: ndarray) are provided. Values of s are normalized to the interval \([0,1]\).

Returns:: tuple (s, val)

resetLoads()

setDistLoad(w)

Parameters:: w – uniform load. positive if pointing in the local y-direction.

updateState(): Compute internal state, nodal forces, and tangent stiffness for the current state of deformation.