{
 "title": "Cantilever under a tip load, Timoshenko deflection (hex20)",
 "kind": "theory",
 "source": "Timoshenko and Gere, Mechanics of Materials (beam with shear deformation: δ = PL³/3EI + PL/κGA, κ = 5/6 for a rectangle); Cowper, J. Appl. Mech. 33 (1966) 335–340 for the shear coefficient",
 "quantities": [
  {
   "id": "tip_uz",
   "quantity": "tip deflection u_z at (10, 0.5, 0.5)",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Bend",
     "at": [
      [
       10.0,
       0.5,
       0.5
      ]
     ]
    },
    "pointer": "/nodes/0/displacement/2"
   },
   "value": -4.024,
   "tolerance": {
    "relative": 0.005
   },
   "reason": "beam theory vs 3D elasticity: the shear coefficient and the fully clamped end change the tip deflection by a few tenths of a percent at L/h = 10"
  },
  {
   "id": "reaction",
   "quantity": "total reaction z",
   "measure": {
    "from": "solve",
    "pointer": "/reaction_total/2"
   },
   "value": 1.0,
   "tolerance": {
    "relative": 1e-09
   },
   "reason": "equilibrium holds to rounding"
  }
 ]
}