What is flexural rigidity formula?

Flexural rigidity formula is used to determine the resistance of a beam to bending. It is also known as bending stiffness or flexural stiffness. The formula for flexural rigidity is EI = k(M/L), where E is the modulus of elasticity, I is the second moment of area, k is the curvature of the beam, M is the bending moment, and L is the length of the beam.

The modulus of elasticity (E) is a measure of a material's stiffness and is usually expressed in PSI or Pascals. The second moment of area (I) refers to the distribution of the cross-sectional area of the beam and is measured in square inches or meters. The bending moment (M) is the point where the beam is subject to a load, which causes it to bend.

Flexural rigidity is an essential factor in designing structural members like beams and columns. The higher the flexural rigidity of a structure, the more it can resist bending. Hence, engineers use the flexural rigidity formula to determine the required size or strength of a beam or column for a specific application.