Euler Critical Stress

civil-euler-stress

Euler Critical Stress

civil

Columns

\sigma_{cr} = \frac{\pi^2 E}{(KL/r)^2}

Critical buckling stress for slender columns

Long, slender column; elastic buckling

[
  {
    "symbol": "σcr",
    "name": "Critical Stress",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "E",
    "name": "Elastic Modulus",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "K",
    "name": "Effective Length Factor",
    "unit": "",
    "siUnit": ""
  },
  {
    "symbol": "L",
    "name": "Column Length",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "ft"
  },
  {
    "symbol": "r",
    "name": "Radius of Gyration",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "in"
  }
]

σcr, E, L, r

euler, buckling, stress, column, critical

false