{
  "schema": "engineering-teaching-method-v1",
  "method": "adopted_preliminary_cell_support_and_connection_envelope",
  "quantities": {
    "L": "Cell tube length, ft",
    "W": "Rack width in illustrated span direction, ft",
    "nominal_connection_allowance": "Total2ft in this selected planning geometry"
  },
  "bounds": {
    "lower": "0.75*L",
    "upper": "L-2ft"
  },
  "examples": [
    {
      "L_ft": 32,
      "lower_W_ft": 24,
      "upper_W_ft": 30
    },
    {
      "L_ft": 30,
      "lower_W_ft": 22.5,
      "upper_W_ft": 28
    }
  ],
  "algebra_check": {
    "nonempty": "0.75L<=L-2ft",
    "L_at_least_ft": 8,
    "interpretation": "Consistency of adopted inequalities only; not validated applicability at8ft"
  },
  "limits": [
    "Selected support geometry and nominal connection allowance required",
    "Actual supplier frame/nozzle/projection/maintenance geometry governs final envelope",
    "No structural capacity, airflow, lifting, nozzle-load or overall acceptance"
  ]
}