Bi-material reduction

Bi-material cross-section:

Bimaterial cross section

 

To determine the neutral axis position (NAC) of a composite bi-material cross-section, the following general equation is used:

Neutral axis position of the composite bi-material cross section

 

where:

  • EB and ET - elastic modulus of the bottom and top layer, respectively;
  • AB and AT - cross-sectional area of the bottom and top layer, respectively;
  • ZB and ZT - distance from the neutral axis to the centroid of the bottom and top layer, respectively.

 

The reduced area AC of the composite bi-material cross-section is calculated as:

Reduced area of the composite bi-material cross section

 

The reduced second moment of inertia IC of the composite cross-section is calculated as:

Reduction of the second moment of inertia of the composite cross section

 

The material properties of the composite bi-material cross-section are reduced as follows:

  • Thermal linear expansion coefficient:

 

Thermal linear expansion coefficient
  • Poisson's ratio:

 

Poisson's ratio
  • Density:

 

Density

 

The reduction of the cross-sectional area and the second moment of area is performed relative to the bottom layer of the composite cross-section
The elastic modulus of the reduced composite bi-material cross-section is taken from the bottom layer of the composite cross-section
The second moment of area for the top and bottom layers is calculated with reference to the neutral axis of the composite cross-section, without taking into account its bi-material nature
For standard prefabricated composite sections, the bottom part of the cross-section is considered prefabricated, while the top part serves primarily as a finishing or cover layer:
Composite prefabricated cross section