Connectivity

Connectivity definition

Elastic connectivity joints can be defined:

  • Only in hybrid 2D-Grillage/Plate structures.

 

By using of discrete (calculational) modeling, the connectivity between structural beams and plates is treated as the bracing between nodes of the discrete (calculational) model:

In discrete (analytical) modeling, the connectivity between structural beams and plates is treated as a coupling (bracing) between the nodes of the model:

 

Connectivity between structural beams and plates

 

The same interpretation of interaction appears by modeling connectivity of the structural parts of the slab:

The same interaction behavior applies when modeling the connectivity between slab segments:

 

Connectivity of the structural parts of the slab

 

An elastic connectivity joint establishes a zero-length connection between nodes defined in the global coordinate system:

 

The properties of the connectivity are defined by the stiffness values of the zero-length connectivity joint, as follows:

Ex – axial stiffness of the zero-length connectivity in the global X direction [kN];

Ey – axial stiffness of the zero-length connectivity in the global Y direction [kN];

Ez – axial stiffness of the zero-length connectivity in the global Z direction [kN].

 

The axial stiffness representing a rigid connectivity joint between plates/slabs can be calculated as:

 

Axial stiffness as "fixed" connectivity joint between plate/slab

 

where:

E – Young's modulus [Pa];

h – plate/slab thickness [m];

v – Poisson's ratio.

 

The flexural stiffness representing a rigid connectivity joint between plates/slabs can be calculated as:

 

Flexural stiffness as "fixed" connectivity joint between plate/slab

 

Stiffness values defined between zero and 'rigid' represent a semi-rigid connectivity joint. Conversely, a zero value represents a released (rigidless, free) connectivity joint.

 

Elastic beam-to-plate connectivity properties can only be assigned to structural beam elements.

 

Elastic plate-to-plate connectivity properties are assigned exclusively to structural plate elements by defining a contour path. These properties are used to establish connectivity between adjacent plates.

 

The placement of supports (on the beam or the plate/slab) affects the interpretation of the connectivity calculation results:
Placement of the supports on the beam or on the plate/slab