Bending stiffness explained
The bending stiffness (
) is the resistance of a member against bending deflection/deformation. It is a function of the
Young's modulus
, the
second moment of area
of the beam cross-section about the axis of interest, length of the beam and beam boundary condition. Bending
stiffness of a beam can analytically be derived from the equation of beam deflection when it is applied by a force.
where
is the applied force and
is the deflection. According to elementary
beam theory, the relationship between the applied bending moment
and the resulting
curvature
of the beam is:
where
is the deflection of the beam and
is the distance along the beam. Double integration of the above equation leads to computing the deflection of the beam, and in turn, the bending stiffness of the beam.Bending stiffness in beams is also known as
Flexural rigidity.
See also
External links
