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Cantilever Beam Stiffness Calculator

This calculator helps determine the stiffness of a cantilever beam based on its material and geometric properties. It is useful for structural engineers, civil engineers, and students to evaluate how much resistance a beam offers against deflection when a load is applied at its free end.

Calculate Cantilever Beam Stiffness

Input Fields
E
MPa
Elastic modulus of the material
I
cm⁴
Cross-sectional resistance to bending
l
m
Distance from the fixed support to free end

Cantilever Beam Stiffness Formula

Formula
$$\text{Stiffness} = \frac{3 \cdot E \cdot I}{l^3}$$

Where:

  • $$E$$ = Young’s Modulus of the material (Pa)
  • $$I$$ = Moment of Inertia (m⁴)
  • $$l$$ = Length of the beam (m)

This formula calculates how stiff (resistant to deflection) a cantilever beam is when a load is applied at the free end. The higher the stiffness, the less it will bend.


A cantilever beam is fixed at one end and free at the other. Its stiffness plays a critical role in structural performance and safety. By inputting the Young’s modulus, moment of inertia, and beam length, this calculator returns the stiffness value used in design and load calculations. This is especially relevant in civil, mechanical, and structural engineering applications.

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