{
 "title": "MacNeal–Harder curved cantilever, hex8 with incompatible modes",
 "kind": "benchmark",
 "source": "MacNeal and Harder, 'A proposed standard set of problems to test finite element accuracy', Finite Elements in Analysis and Design 1 (1985) 3–20: Fig. 5 (p. 7) geometry, material and mesh; Table 3 (p. 10) theoretical tip displacements",
 "quantities": [
  {
   "id": "in_plane",
   "quantity": "tip displacement along the in-plane load",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "In_plane",
     "at": [
      [
       0,
       4.12,
       0
      ]
     ]
    },
    "pointer": "/nodes/0/displacement/1"
   },
   "value": 0.08734,
   "tolerance": {
    "relative": 0.02
   },
   "reason": "MacNeal and Harder grade an element A within 2% of the theoretical value on this prescribed coarse mesh (p. 14)",
   "known_failure": "0.880 of the theory, grade C: straight-sided hex8 on six elements over 90° (MacNeal–Harder's HEXA(8): 0.880, Table 9 p. 15)"
  },
  {
   "id": "out_of_plane",
   "quantity": "tip displacement along the out-of-plane load",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Out_of_plane",
     "at": [
      [
       0,
       4.12,
       0
      ]
     ]
    },
    "pointer": "/nodes/0/displacement/2"
   },
   "value": 0.5022,
   "tolerance": {
    "relative": 0.02
   },
   "reason": "MacNeal and Harder grade an element A within 2% of the theoretical value on this prescribed coarse mesh (p. 14)",
   "known_failure": "0.798 of the theory, grade D: out-of-plane bending with torsion on one element across (MacNeal–Harder's HEXA(8): 0.849)"
  }
 ]
}