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The product of Modulus of Elasticity (E) and Moment of Inertia (I) is called as
Polar moment
Flexural Rigidity
Stiffness
Modulus of rigidity
Flexural Rigidity
Flexural rigidity is defined as the product of the Modulus of Elasticity (E) and the Area Moment of Inertia (I). It represents the resistance offered by a structural member (like a beam) against bending deformation when subjected to an external load.
Flexural rigidity is defined as the product of the Modulus of Elasticity (E) and the Area Moment of Inertia (I). It represents the resistance offered by a structural member (like a beam) against bending deformation when subjected to an external load.
EI тАФ Flexural Rigidity
M=EIdx2d2yтАЛ тАФ Relation between Bending Moment and Curvature
According to the Euler-Bernoulli beam theory, the curvature of a beam is inversely proportional to its flexural rigidity (EI). A higher EI value indicates that the beam is stiffer and will undergo less deflection for a given bending moment, as defined by the relation M=EIdx2d2yтАЛ.
Flexural rigidity represents the internal resistance of a beam to bending.
It is a combined property of both the material (Elastic Modulus E) and the cross-sectional geometry (Moment of Inertia I).
Increasing either E or I will increase the flexural rigidity of the structural element.
Used to calculate beam deflections accurately.
Essential parameter for stability analysis of columns (Euler's Buckling Load).
Assumes linear elastic material behavior.
Applicable primarily to members where Bernoulli-Euler hypothesis holds (plane sections remain plane).
Analysis of beam deflections and slopes.
Calculation of critical buckling loads for structural columns.
Design of steel and concrete structural members.
Modulus of Rigidity (G) relates to shear stress and shear strain, whereas Flexural Rigidity (EI) relates to normal stress and bending.
Polar Moment of Inertia (J or IzтАЛ) relates to Torsional Rigidity (GJ).
Stiffness is a general term; Flexural Rigidity is a specific form of stiffness for bending.
B is correct тАФ The product of the Modulus of Elasticity (E) and the Moment of Inertia (I) is known as the Flexural Rigidity (EI).
Always distinguish between EI (Flexural Rigidity for bending) and GJ (Torsional Rigidity for twisting); exam questions frequently swap these to test conceptual clarity.