EngiRef / Civil Engineering Formula
Cantilever Beam Deflection (Point Load)
Cantilever Beam Deflection (Point Load): Maximum deflection at free end of cantilever with point load. A Beams formula in civil engineering.
Beams
Specification
- Name
- Cantilever Beam Deflection (Point Load)
- Discipline
- civil
- Category
- Beams
- LaTeX
- \delta = \frac{FL^3}{3EI}
- Description
- Maximum deflection at free end of cantilever with point load
- Conditions
- Point load at free end; small deflection, linear elastic, prismatic beam
- Can solve for
- δ, F, L, E, I
- Tags
- beam, cantilever, deflection, point load
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| δ | Deflection | m | m | in |
| F | Force | N | N | lbf |
| L | Length | m | m | ft |
| E | Elastic Modulus | Pa | Pa | psi |
| I | Moment of Inertia | m⁴ | m⁴ | in⁴ |