Cantilever Beam Deflection (Point Load)

civil-beam-deflection-cantilever

Cantilever Beam Deflection (Point Load)

civil

Beams

\delta = \frac{FL^3}{3EI}

Maximum deflection at free end of cantilever with point load

Point load at free end; small deflection, linear elastic, prismatic beam

[
  {
    "symbol": "δ",
    "name": "Deflection",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "in"
  },
  {
    "symbol": "F",
    "name": "Force",
    "unit": "N",
    "siUnit": "N",
    "imperialUnit": "lbf"
  },
  {
    "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"
  }
]

δ, F, L, E, I

beam, cantilever, deflection, point load

false