Cantilever Load Calculator

Formula

To calculate the Deflection (L):

\[ L = \frac{P \cdot L}{E \cdot I} \]

Where:

\(L\) is the Deflection of the beam (meters)
\(P\) is the Load Applied (Newtons)
\(L\) is the Length of the Beam (meters)
\(E\) is the Modulus of Elasticity (Pascals)
\(I\) is the Moment of Inertia (meters\(^4\))

What is a Cantilever Load?

A cantilever load is a force that is applied to a structure, typically a beam or a pole, that extends horizontally and is only supported at one end. This type of load creates a bending effect on the structure, causing it to flex and potentially deform or break if the load is too heavy. The amount of load a cantilever can bear depends on the material's strength and the length of the overhang.

Example Calculation

Let's assume the following values:

Load Applied (\(P\)) = 500 Newtons
Length of Beam (\(L\)) = 2 meters
Modulus of Elasticity (\(E\)) = 200 GPa (200 x 10⁹ Pascals)
Moment of Inertia (\(I\)) = 0.0001 meters⁴

Using the formula:

\[ L = \frac{500 \cdot 2}{200 \cdot 10^9 \cdot 0.0001} = \frac{1000}{20 \cdot 10^6} = \frac{1000}{20000000} = 0.00005 \text{ meters} \]

The Deflection is 0.00005 meters.