First, determine the **load (P)** applied to the beam, the **length (L)** of the beam, the **modulus of elasticity (E)** of the material, and the **moment of inertia (I)** of the cross-section. Use the formula to find the **deflection** at the free end, ensuring the beam meets safety standards.

## Cantilever Load Calculator

Enter any 4 variables

A **Cantilever Load Calculator** is used to estimate the deflection at the free end of a cantilever beam under load. This calculator is essential for structural analysis and ensures the proper design of cantilever beams in construction.

### Formula:

**$L = \frac{(P \times L^2)}{(E \times I)}$**

Where:

Variable |
Meaning |
---|---|

L | Deflection or displacement at the free end of the cantilever beam |

P | Load applied at the free end (in Newtons or pounds) |

L | Length of the cantilever beam (in meters or feet) |

E | Modulus of elasticity of the material (in N/m² or psi) |

I | Moment of inertia of the beam’s cross-sectional area (in m⁴ or in⁴) |

**Example Calculation:**

Let’s assume you have a cantilever beam with the following properties:

- Load applied (P) = 500 N
- Length of the beam (L) = 3 m
- Modulus of elasticity (E) = 200 GPa (200 × 10⁹ N/m²)
- Moment of inertia (I) = 0.0001 m⁴

Using the formula, we can calculate the deflection at the free end:

**$L = \frac{(500 \times 3^2)}{(200 \times 10^9 \times 0.0001)} = \frac{4500}{20 \times 10^6} = 0.000225 \, \text{m}$**

The deflection is **0.000225 meters** or **0.225 mm**.

Step |
Calculation |
---|---|

Load (P) | 500 N |

Length (L) | 3 m |

Modulus of elasticity (E) | 200 GPa |

Moment of inertia (I) | 0.0001 m⁴ |

Deflection at the free end (L) | 0.225 mm |

**What is Cantilever Load Calculator ?**

A **cantilever load calculator** is a valuable tool for determining how much weight a cantilever beam can support and how to distribute the load safely. When calculating the load, the tool uses the **cantilever load formula**, which takes into account the length of the cantilever, material strength, and the type of load applied (e.g., point load at the free end or distributed load).

If you’re asking, **how do you calculate cantilever capacity**, the calculator walks you through each step, helping you understand the load distribution and maximum capacity for safe use.

For more complex scenarios, such as calculating the load on a **cantilever beam with two loads** or when dealing with different materials (e.g., steel or wood), you can use a **cantilever beam calculator Excel** template or PDF for detailed examples.

These tools also help in calculating deflection, bending moments, and stress using formulas like the **cantilever beam stress calculator**. Additionally, the **Unistrut cantilever load calculator** is used for specialized structural setups, ensuring the beam can withstand the given load without failure.

Whether you’re working with wood, steel, or other materials, these calculators provide precise results to ensure structural safety and efficiency.