EngiRef / Formulas

Cantilever Beam (Uniform Load)

Maximum deflection of cantilever under uniform load

Beams

Source Details

Id

civil-cantilever-uniform

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

Variables
[
  {
    "symbol": "δₘₐₓ",
    "name": "Max Deflection",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "in"
  },
  {
    "symbol": "w",
    "name": "Load per Unit Length",
    "unit": "N/m",
    "siUnit": "N/m",
    "imperialUnit": "lbf/ft"
  },
  {
    "symbol": "L",
    "name": "Length",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "ft"
  },
  {
    "symbol": "E",
    "name": "Elastic Modulus",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "I",
    "name": "Moment of Inertia",
    "unit": "m⁴",
    "siUnit": "m⁴",
    "imperialUnit": "in⁴"
  }
]
Solve For

δₘₐₓ, w, L, E, I

Tags

cantilever, beam, deflection, uniform, distributed

Is Custom

false