Cantilever Beam Stiffness Calculator

Calculate Cantilever Beam Stiffness

Input Fields

Young's Modulus

E

MPa

Elastic modulus of the material

Area Moment of Inertia

I

cm⁴

Cross-sectional resistance to bending

Length of beam

l

m

Distance from the fixed support to free end

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Your Results

Stiffness

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Cantilever Beam Stiffness 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.