{
  "title": "Temporary test plate: gasket geometry and thickness",
  "scope": "Educational plate-method illustration; no fabrication dimensions or completed flange design. Selected gasket inside or pitch diameter must be established for the actual arrangement. Temporary test duty only.",
  "geometry": {
    "view": "Plate alone, front and edge views",
    "diameter_label": "dg: selected gasket inside or pitch diameter",
    "thickness_label": "tm: required plate thickness",
    "outer_circle": "Illustrative plate outline; outer diameter unspecified"
  },
  "method": {
    "expression": "tm = dg * sqrt(3*P/(16*S*E)) + c",
    "quantities": {
      "tm": "Required thickness, in",
      "dg": "Selected gasket diameter, in; not nominal pipe size",
      "P": "Pressure difference, psi",
      "S": "Scoped stress basis, psi",
      "E": "Quality factor, dimensionless",
      "c": "Additional thickness, in"
    },
    "basis": "Specified ASTM A285 Grade C or A516 Grade 55 temporary plate; S=24000 psi, 80% minimum yield; E=1 and c=0. Not a general service allowable."
  },
  "hypothetical_example": {
    "dg_in": 4.0,
    "P_psi": 1000,
    "S_psi": 24000,
    "E": 1,
    "c_in": 0,
    "tm_in": 0.3535533905932738,
    "assumed_actual_thickness_in": 0.375,
    "arithmetic_comparison": "Assumed actual thickness exceeds calculated requirement; no NPS gasket or assembly adequacy established."
  },
  "conditions": [
    "Use consistent pressure and length units.",
    "Gauge pressure is the difference only when opposite face shares the atmospheric reference.",
    "Verify plate geometry, material, flange, gasket, bolts and applicable method independently.",
    "Identify test-only duty and remove under restoration plan; service blinds need their own design basis."
  ]
}