Euler Buckling Load

civil-euler-buckling

Euler Buckling Load

civil

Columns

P_{cr} = \frac{\pi^2 EI}{(KL)^2}

Critical buckling load for slender columns

Valid for long, slender columns; K depends on end conditions

[
  {
    "symbol": "Pcr",
    "name": "Critical Load",
    "unit": "N",
    "siUnit": "N",
    "imperialUnit": "lbf"
  },
  {
    "symbol": "E",
    "name": "Elastic Modulus",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "I",
    "name": "Moment of Inertia",
    "unit": "m⁴",
    "siUnit": "m⁴",
    "imperialUnit": "in⁴"
  },
  {
    "symbol": "K",
    "name": "Effective Length Factor",
    "unit": "",
    "siUnit": ""
  },
  {
    "symbol": "L",
    "name": "Column Length",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "ft"
  }
]

Pcr, E, I, L

buckling, euler, column, critical

false