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 |
Common questions
- What is the Cantilever Beam Deflection (Point Load) formula?
- Maximum deflection at free end of cantilever with point load. It sits under Beams, Civil engineering in the EngiRef reference.
- What do the symbols in the Cantilever Beam Deflection (Point Load) formula mean?
- In Cantilever Beam Deflection (Point Load), δ is deflection in m; F is force in N; L is length in m; E is elastic modulus in Pa; I is moment of inertia in m⁴.
- When does the Cantilever Beam Deflection (Point Load) formula apply?
- Cantilever Beam Deflection (Point Load) holds under this condition: Point load at free end; small deflection, linear elastic, prismatic beam.