{
 "title": "Long rotating solid cylinder, axisymmetric",
 "kind": "theory",
 "source": "Timoshenko and Goodier, Theory of Elasticity, 3rd ed., McGraw-Hill 1970, §32 (long rotating cylinder, ε_z = 0)",
 "quantities": [
  {
   "id": "radial_axis",
   "quantity": "radial stress σ_r on the axis (r = 0)",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Spin",
     "at": [
      [
       0,
       0,
       0
      ]
     ]
    },
    "pointer": "/nodes/0/stress/0"
   },
   "value": 0.3857142857142857,
   "tolerance": {
    "relative": 0.01
   },
   "reason": "stress extrapolated to the axis, where σ_r = σ_θ: under 1% with sixteen quadratic elements across"
  },
  {
   "id": "hoop_rim",
   "quantity": "hoop stress σ_θ at the surface (r = 1)",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Spin",
     "at": [
      [
       1.0,
       0,
       0
      ]
     ]
    },
    "pointer": "/nodes/0/stress/2"
   },
   "value": 0.12857142857142853,
   "tolerance": {
    "relative": 0.01
   },
   "reason": "stress extrapolated to the surface: under 1%"
  }
 ]
}