Flexural Rigidity can be defined as the resistance of a structure which is undergoing bending, or as a force couple required to bend a non-rigid structure.
The formula is:
M stands for: Bending moment.
k stands for: Curvature
E stands for Young's modulus
I stands for: Second moment of area(geometry dependent).
Here are demonstrated three arrangements of load F, each creating a distribution of moment M(x):
And if we integrate: we could obtain a solution to the bending stiffness S (for a rectangular beam), such as:
Use of Flexual rigidity:
Flexural rigidity is a very needed property in industry.
One example of this is a sandwich structure, which is a special class of composite materials that is fabricated by attaching two thin but stiff skins to a lightweight but thick core. It combines both lightweight and high flexural rigidity but can be not easily recycled, core and skins being from hybrid materials.
It is also used in Automotive applications.
Building: doors, decorative panels and facade panels.
Another one is composite rollers, which have high flexual rigidity and light weight when compared to rollers made out of steel or other metals.