# What is Cantilever Beam in Physics? | Definition, Example, Formula – Elasticity

Cantilever Definition in Physics:
A beam clamped at one end and loaded at free end is called a cantilever.

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## What is Cantilever Beam in Physics? | Definition, Example, Formula – Elasticity

Cantilever Formula Physics:
Depression (δ) at the free end of a cantilever is given by

δ = $$\frac{w l^{3}}{3 Y I_{G}}$$

where,
l = Length of the cantilever,
Y = Young’s modulus of elasticity
IG = Geometrical moment of inertia.

For a beam of rectangular cross-section having breadth b and thicknes d,

$$I_{G}=\frac{b d^{3}}{12}$$

For a beam of circular cross-section area having radius r,

$$I_{G}=\frac{\pi r^{4}}{4}$$

Cantilever Beam Example:
A good example of a cantilever beam is a balcony. A balcony is supported on one end only, the rest of the beam extends over open space; there is nothing supporting it on the ther side.

Beam Supported at Two Ends and Loaded at the Middle

Depression at middle, δ = $$\frac{w l^{3}}{48 Y I_{G}}$$

Elasticity:
Elasticity defines a property of an object that has the ability to regain its original shape after being stretched or compressed. Learn about the deforming force applied on an elastic object and how the stress and strain works on an object. What is a Hooke’s law and how it is applicable for the concept of elasticity.