EngiRef / Civil Engineering Formula
Cantilever Beam (Uniform Load)
Cantilever Beam (Uniform Load): Maximum deflection of cantilever under uniform load. A Beams formula in civil engineering. Variables δₘₐₓ, w, L, E and I, each…
Beams
Specification
- Name
- Cantilever Beam (Uniform Load)
- Discipline
- civil
- Category
- Beams
- LaTeX
- \delta_{max} = \frac{wL^4}{8EI}
- Description
- Maximum deflection of cantilever under uniform load
- Conditions
- Cantilever, uniform load over entire length
- Can solve for
- δₘₐₓ, w, L, E, I
- Tags
- cantilever, beam, deflection, uniform, distributed
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| δₘₐₓ | Max Deflection | m | m | in |
| w | Load per Unit Length | N/m | N/m | lbf/ft |
| L | Length | m | m | ft |
| E | Elastic Modulus | Pa | Pa | psi |
| I | Moment of Inertia | m⁴ | m⁴ | in⁴ |
Common questions
- What is the Cantilever Beam (Uniform Load) formula?
- Maximum deflection of cantilever under uniform load. It sits under Beams, Civil engineering in the EngiRef reference.
- What do the symbols in the Cantilever Beam (Uniform Load) formula mean?
- In Cantilever Beam (Uniform Load), δₘₐₓ is max deflection in m; w is load per unit length in N/m; L is length in m; E is elastic modulus in Pa; I is moment of inertia in m⁴.
- When does the Cantilever Beam (Uniform Load) formula apply?
- Cantilever Beam (Uniform Load) holds under this condition: Cantilever, uniform load over entire length.