{
 "title": "Plate with a circular hole in tension (Kirsch)",
 "kind": "theory",
 "source": "Kirsch, Zeitschrift des VDI 42 (1898) 797–807; Timoshenko and Goodier, Theory of Elasticity, 3rd ed., 1970, §35",
 "quantities": [
  {
   "id": "kt",
   "quantity": "σ_xx at the top of the hole (0, 1, 0) over the remote stress",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Tension",
     "at": [
      [
       0,
       1.0,
       0
      ]
     ]
    },
    "pointer": "/nodes/0/stress/0"
   },
   "value": 3.0,
   "tolerance": {
    "relative": 0.02
   },
   "reason": "the reference is the infinite plate; the finite plate (W = 60a, Heywood's width correction about +0.1%, and the loaded ends 30a away) raises the peak by a few tenths of a percent, and the stress extrapolated to the hole surface adds up to about 1%"
  },
  {
   "id": "side",
   "quantity": "σ_yy at the side of the hole (1, 0, 0) over the remote stress",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Tension",
     "at": [
      [
       1.0,
       0,
       0
      ]
     ]
    },
    "pointer": "/nodes/0/stress/1"
   },
   "value": -1.0,
   "tolerance": {
    "relative": 0.03
   },
   "reason": "infinite-plate value −S; finite width and extrapolation as for Kt, on a smaller value"
  }
 ]
}