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        "max_moment_Nmm": 2.60770320892334e-08
      },
      "independent_balance": {
        "mass_force_error_N": 2.4010660126805305e-10,
        "uniform_snow_force_error_N": 9.822542779147625e-11,
        "maximum_reaction_force_error_N": 5.2251607485231943e-08,
        "maximum_reaction_moment_error_Nmm": 0.00012594833970069885
      },
      "candidate_source": {
        "path": "build/r7_21/full/assembly.json",
        "sha256": "37d0fc93a8d64ead28bb2d3a879d95e7712e2f7f7d25cd4d2342ec4ac28b1318",
        "plywood_mass_kg": 447.99826024252565,
        "hardware_mass_kg": 25.57033286332963,
        "actual_plywood_thickness_mm": 21,
        "section_thickness_used_mm": 21.0
      }
    }
  ],
  "minimum_selected_diagnostic_multiplier": {
    "snow_coefficients_with_shape_assumptions": 1.517293902866661,
    "research_envelope": 0.8929704403799396
  },
  "selected_eigenvalue_below_unity": true,
  "finishings": {
    "path": "build/lighting_stage5/r7/finishings.json",
    "routes": 52,
    "led_cut_m": 19.8,
    "led_mass_assumed_kg_per_m": 0.35,
    "cover_area_m2": 27.05214719200105,
    "PVC_mass_assumed_kg_per_m2": 0.9,
    "additional_mass_allowance_kg": 15
  },
  "limits": [
    "Actual G21 profiles, frames, plywood masses, current heel and new hardware are source-bound; forces are recomputed, not copied from a former model.",
    "The steel base plate is the prescribed boundary. Concrete and anchors are excluded by scope; no slab or anchor capacity is implied.",
    "The actual gross rib axes and eccentric rigid arms are recovered from CAD. The200mm gross rectangular section substitutes the shaped ends; holes, tooth roots, cheek bending, washer punching and local stresses are not resolved.",
    "Roof rotations use alpha=None or0.3; extra0.03 is a sensitivity. These are unmeasured springs relative to member EI/L and GJ/L, not a connector constitutive law. Joint translations are tied without gap or slip.",
    "Each leg-end rotation uses three equal springs of1/10/100kNm/rad or ideal restraint; actual steel/plywood bearing is anisotropic, coupled and unilateral. Current1mm nominal slots do not identify stiffness or preload.",
    "E=9000MPa,G=750MPa are assumed elastic inputs; half values test sensitivity. Isotropic Saint-Venant torsion and beam shear do not resolve plywood orthotropy or rolling shear. No purchased-batch design resistances are assigned.",
    "19.9mm is a virtual lower-thickness case for one manufacturer specification; outlines and centrelines remain the21mm nominal geometry. This is not a new manufacturing fit or a tolerance allowance to use without measurement.",
    "Snow1.5kPa,gamma1.4 and dome load patterns are inherited provisional design inputs for the Khimki-area study; a faceted square-cut pavilion has not been established to follow the smooth-dome coefficients. Each face gives one third of its resultant to each bounding rib.",
    "Wind ±1kPa is a research envelope. The0.23×0.75×1.4×2.2kPa mean-wind analogy omits pulsation and verified aerodynamics. Side curtain wind and internal pressure are not modelled; closed all-season use is unverified.",
    "PVC cover weight0.9kg/m2 and lighting0.35kg/m use archived current finishings geometry, plus15kg allowances. These are assumed masses, not weighings. PVC supplies no diaphragm bracing. Mounts and prestress are not qualified.",
    "All34 inherited static combinations are evaluated, including half-roof snow and the separate2kN/m membrane-stress diagnostic. These research patterns do not establish a complete normative combination envelope.",
    "Deflections from installed geometry subtract self-weight G. Additional values from the unloaded state are reported explicitly. Linear short-term displacement does not include creep or evolving contact gaps.",
    "Eigenvalues use axial geometric stiffness with two beam subdivisions, only for the highest-stress snow and research cases per model. They are diagnostics, not an all-pattern minimum or a code safety factor. Imperfections, contact nonlinearity, orthotropic lateral-torsional stability and nonlinear membrane action remain unverified.",
    "Gross stress extrema use41 stations per member plus point-load stations; they are sampled diagnostics, not local stress concentration solutions. Global analysis completion does not establish building readiness. Full connector/contact strength, foot/steel/bolt checks, measured properties and a physical load/fit validation remain separate tasks. A3mm mini1:7 is not a structural scale test."
  ],
  "source_links": [
    {
      "url": "https://protect.gost.ru/sp/details/cbac2ac8-70ea-4899-9b3b-1c402a1260d0",
      "checked_on": "2026-10-08",
      "evidence": "Official registry: SP64.13330.2017 active, amendments1–4 listed. No new local resistance adopted."
    },
    {
      "url": "https://protect.gost.ru/sp/details/bac9e1fe-45f1-401b-8e32-949f4ee27821",
      "checked_on": "2026-10-08",
      "evidence": "Official registry: SP20.13330.2016 active, amendments1–6 listed. Site/roof classification is still provisional."
    },
    {
      "url": "https://sveza.ru/upload/iblock/582/yh4eqemjqbvfqbloyhelkr6slchcj2d4.pdf",
      "checked_on": "2026-10-08",
      "evidence": "STO52654419-001-2024 table2: sanded21mm +0/-1.1mm,15plies. Manufacturer-specific, not generic stock.19.9mm is sensitivity only."
    }
  ],
  "geometry_checks_are_separate": true,
  "geometry_mass_comparison": {
    "old_G24_assembly_sha256": "ff40468a95fb1aa2e1df50883d9756924b31114d5ad4f2f7f87befc942f058ed",
    "old_G24_plywood_kg": 514.0414884571273,
    "new_G21_plywood_kg": 447.99826024252565,
    "note": "Actual whole plywood CAD masses;24mm frame not recomputed here.",
    "plywood_saving_kg": 66.0432282146017
  },
  "section_properties": [
    {
      "thickness_mm": 24,
      "depth_mm": 200,
      "E_MPa": 9000,
      "G_MPa": 750,
      "shear_factor": 0.8333333333333334,
      "A_mm2": 4800,
      "Iy_mm4": 230400.0,
      "Iz_mm4": 16000000.0,
      "J_mm4": 851928.2439487487
    },
    {
      "thickness_mm": 21,
      "depth_mm": 200,
      "E_MPa": 9000,
      "G_MPa": 750,
      "shear_factor": 0.8333333333333334,
      "A_mm2": 4200,
      "Iy_mm4": 154350.0,
      "Iz_mm4": 14000000.0,
      "J_mm4": 576559.4036875243
    },
    {
      "thickness_mm": 19.9,
      "depth_mm": 200,
      "E_MPa": 9000,
      "G_MPa": 750,
      "shear_factor": 0.8333333333333334,
      "A_mm2": 3979.9999999999995,
      "Iy_mm4": 131343.31666666662,
      "Iz_mm4": 13266666.666666666,
      "J_mm4": 492440.5124397187
    }
  ],
  "pinned_axial_topology_diagnostic": {
    "free_translation_dofs": 183,
    "bars": 168,
    "rank": 168,
    "translational_mechanisms": 15,
    "self_stress_states": 0,
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    "relative_tolerance": 1e-10,
    "scope": "Ideal topology axes, axial bars, four fixed translations; no claim about real moment-frame failure"
  }
}