{
  "app": "Beam Studio",
  "version": "2026.10.12",
  "timestamp": "2026-10-13T03:52:10.904Z",
  "assertions": 51265,
  "failedAssertions": 0,
  "status": "PASS",
  "groups": [
    {
      "group": "Analytical closed forms",
      "cases": 5,
      "results": [
        {
          "name": "Simply supported UDL",
          "maxRelativeError": 0
        },
        {
          "name": "Cantilever UDL",
          "maxRelativeError": 0
        },
        {
          "name": "Simply supported midspan point",
          "maxRelativeError": 0
        },
        {
          "name": "Cantilever tip point",
          "maxRelativeError": 0
        },
        {
          "name": "Simply supported eccentric point",
          "maxRelativeError": 1.5772559405023482e-16
        }
      ]
    },
    {
      "group": "Default Thai gravity preset",
      "cases": 2,
      "combinations": [
        {
          "name": "D + L",
          "enabled": true,
          "kind": "service",
          "deadFactor": 1,
          "liveFactor": 1
        },
        {
          "name": "1.4D",
          "enabled": true,
          "kind": "strength",
          "deadFactor": 1.4,
          "liveFactor": 0
        },
        {
          "name": "1.4D + 1.7L",
          "enabled": true,
          "kind": "strength",
          "deadFactor": 1.4,
          "liveFactor": 1.7
        }
      ],
      "results": [
        {
          "support": "simple",
          "selfWeight_kgfPerM": 192,
          "factoredUDL_kgfPerM": 1058.8,
          "Mu_kNm": 20.766562039999997,
          "Vu_kN": 20.766562039999997,
          "governingM": "1.4D + 1.7L",
          "governingV": "1.4D + 1.7L"
        },
        {
          "support": "cantilever",
          "selfWeight_kgfPerM": 192,
          "factoredUDL_kgfPerM": 1058.8,
          "Mu_kNm": 83.06624815999999,
          "Vu_kN": 41.53312407999999,
          "governingM": "1.4D + 1.7L",
          "governingV": "1.4D + 1.7L"
        }
      ],
      "reference": {
        "title": "B.E.2566 Ministerial Regulation, Clause7(1): gravity-only LRFD",
        "url": "https://ratchakitcha.soc.go.th/documents/140A054N0000000000400.pdf"
      },
      "scope": "D and L subset only; selected ACI-style section checks do not certify complete Thai-regulation compliance."
    },
    {
      "group": "Independent finite elements",
      "cases": 240,
      "nodeComparisons": 5040,
      "maxNormalizedErrors": {
        "reaction": 2.036871198345895e-11,
        "moment": 1.5283441195902904e-11,
        "shear": 2.3080643794169123e-11,
        "deflection": 4.500444243527359e-12
      },
      "normalization": "force: total load; moment: total load × span; deflection: total load × span³ / EI; tolerance 2e-7",
      "seed": "0xB3A62026"
    },
    {
      "group": "Published numeric references",
      "cases": 7,
      "results": [
        {
          "name": "Mento flexural strength",
          "actual": 84.12986696687213,
          "reference": 84.13,
          "unit": "kN·m",
          "tolerance": 0.015
        },
        {
          "name": "Mento concrete shear φVc",
          "actual": 58.3234756097561,
          "reference": 58.32,
          "unit": "kN",
          "tolerance": 0.015
        },
        {
          "name": "Mento stirrup shear φVs",
          "actual": 102.88237039187429,
          "reference": 102.88,
          "unit": "kN",
          "tolerance": 0.015
        },
        {
          "name": "Mento total shear φVn",
          "actual": 161.2058460016304,
          "reference": 161.21,
          "unit": "kN",
          "tolerance": 0.015
        },
        {
          "name": "Mento shear ceiling",
          "actual": 284.7557926829269,
          "reference": 284.76,
          "unit": "kN",
          "tolerance": 0.015
        },
        {
          "name": "StructurePoint support shear",
          "actual": 32.3,
          "reference": 32.3,
          "unit": "kip",
          "tolerance": 0.005
        },
        {
          "name": "StructurePoint peak moment",
          "actual": 201.875,
          "reference": 201.88,
          "unit": "kip·ft",
          "tolerance": 0.006
        }
      ]
    },
    {
      "group": "Randomized reinforcement invariants",
      "cases": 600,
      "accepted": 72,
      "rejected": 528,
      "maxCapacityRelativeError": 4.710526883278478e-16,
      "method": "Neutral-axis force-equilibrium root with elastic/yielding steel, plus explicit geometric and shear invariants. Rejected cases do not certify completeness of the catalogue search."
    },
    {
      "group": "Vertical-fit regressions",
      "cases": 8,
      "before": "Accepted 2 DB12 inside a 3 mm clear height",
      "after": "Bars cannot fit vertically inside the stirrup: clear height 3.0 mm is less than the selected minimum bar diameter 12 mm. Increase beam depth or review the required cover."
    },
    {
      "group": "High-shear boundary",
      "cases": 1,
      "Mu_kNm": 370.1550688281251,
      "Vu_kN": 423.034364375,
      "selected": "4 DB25; Ø12 @ 150 mm",
      "maxSpacing_mm": 158.875
    }
  ],
  "failures": [],
  "references": [
    {
      "title": "MIT Deflections due to Bending",
      "url": "https://ocw.mit.edu/courses/1-050-solid-mechanics-fall-2004/f9a4d5764b9b0f51ffaacbdf69f7aed8_emech10_04.pdf"
    },
    {
      "title": "Mento ACI 318-19 beam design example",
      "url": "https://mento-docs.readthedocs.io/en/latest/examples/rectangular_beam_design_ACI_318-19.html"
    },
    {
      "title": "StructurePoint simply supported beam example ACI 318-14",
      "url": "https://structurepoint.org/publication/pdf/DE-Simply-Supported-Reinforced-Concrete-Beam-Analysis-and-Design-ACI-318-14-spBeam-v1000.pdf"
    }
  ]
}