EngiRef / Civil Engineering Formula
Simply Supported Beam (Uniform Load)
Simply Supported Beam (Uniform Load): Maximum deflection under uniform distributed load. A Beams formula in civil engineering. Variables δₘₐₓ, w, L, E and I…
Beams
Specification
- Name
- Simply Supported Beam (Uniform Load)
- Discipline
- civil
- Category
- Beams
- LaTeX
- \delta_{max} = \frac{5wL^4}{384EI}
- Description
- Maximum deflection under uniform distributed load
- Conditions
- Simply supported, uniform load over entire span
- Can solve for
- δₘₐₓ, w, L, E, I
- Tags
- beam, deflection, uniform, load, 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 | Span | m | m | ft |
| E | Elastic Modulus | Pa | Pa | psi |
| I | Moment of Inertia | m⁴ | m⁴ | in⁴ |