Validation Pack v1.0 — Textbook-Verified Calculations

Every case below is run on every page load against its calculator. The expected values are derived from first-principles ACI 318-19 / AISC 360-22 formulas; engineers can verify each result independently using the cited clauses.

✅58 / 58 cases passing (100.0%)Run time: 14 ms

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`rc-slab`5 / 5 (100.0%)✅ All cases passing

✅rc-slab-aci-001

Two-way SS slab — 4×4 m square, residential UDL (LL=2, DL=1, SDL=1 kN/m²)

Source: ACI Committee 318, Building Code Requirements for Structural Concrete, 2019, ACI 318-19 §8.3 (slab) + §22.3-22.5 (flexure)

0.2 ms

Field	Textbook	VerCivil	Diff	Tolerance	Status
requiredThickness	88.90mm	88.89mm	0.01%	2.00%	✅
recommendedThickness	100.00mm	100.00mm	0.00%	0.00%	✅
momentX	7.460kN·m/m	7.462kN·m/m	0.03%	5.00%	✅
momentY	7.460kN·m/m	7.462kN·m/m	0.03%	5.00%	✅
bottomReinforcementX.requiredArea	319.20mm²/m	319.23mm²/m	0.01%	5.00%	✅
deflectionRatio	0.6200—	0.6176—	0.39%	5.00%	✅

✅rc-slab-aci-002

Two-way SS slab — 4×6 m office (LL=4, DL=2, SDL=1.5 kN/m²)

Source: ACI Committee 318, Building Code Requirements for Structural Concrete, 2019, ACI 318-19 §8.3 (slab) + §22.3-22.5 (flexure)

0.1 ms

Field	Textbook	VerCivil	Diff	Tolerance	Status
requiredThickness	111.10mm	111.11mm	0.01%	2.00%	✅
recommendedThickness	120.00mm	120.00mm	0.00%	0.00%	✅
momentX	19.79kN·m/m	19.79kN·m/m	0.00%	5.00%	✅
momentY	10.35kN·m/m	10.35kN·m/m	0.05%	5.00%	✅
bottomReinforcementX.requiredArea	666.50mm²/m	666.48mm²/m	0.00%	5.00%	✅
deflectionRatio	0.5800—	0.5797—	0.05%	5.00%	✅

✅rc-slab-aci-003

Two-way SS slab — 5×5 m industrial heavy (LL=10, DL=2.5, SDL=2 kN/m², fc′=35 MPa)

Source: ACI Committee 318, Building Code Requirements for Structural Concrete, 2019, ACI 318-19 §8.3 (slab) + §22.3-22.5 (flexure)

0.1 ms

Field	Textbook	VerCivil	Diff	Tolerance	Status
requiredThickness	111.10mm	111.11mm	0.01%	2.00%	✅
recommendedThickness	120.00mm	120.00mm	0.00%	0.00%	✅
momentX	34.18kN·m/m	34.18kN·m/m	0.01%	5.00%	✅
momentY	34.18kN·m/m	34.18kN·m/m	0.01%	5.00%	✅
bottomReinforcementX.requiredArea	1151.0mm²/m	1151.0mm²/m	0.00%	5.00%	✅
deflectionRatio	1.700—	1.696—	0.26%	10.00%	✅

✅rc-slab-aci-004

Continuous two-way slab — 4×4 m square (LL=3, DL=1.5, SDL=1)

Source: ACI Committee 318, Building Code Requirements for Structural Concrete, 2019, ACI 318-19 §8.3 (slab) + §22.3-22.5 (flexure)

0.1 ms

Field	Textbook	VerCivil	Diff	Tolerance	Status
requiredThickness	88.90mm	88.89mm	0.01%	2.00%	✅
recommendedThickness	100.00mm	100.00mm	0.00%	0.00%	✅
momentX	6.320kN·m/m	6.323kN·m/m	0.04%	5.00%	✅
momentY	6.320kN·m/m	6.323kN·m/m	0.04%	5.00%	✅
bottomReinforcementX.requiredArea	270.50mm²/m	270.47mm²/m	0.01%	5.00%	✅
deflectionRatio	0.7600—	0.7624—	0.31%	5.00%	✅

✅rc-slab-aci-005

Two-way SS slab — 6×8 m long span (LL=5, DL=2, SDL=1.5)

Source: ACI Committee 318, Building Code Requirements for Structural Concrete, 2019, ACI 318-19 §8.3 (slab) + §22.3-22.5 (flexure)

0.1 ms

Field	Textbook	VerCivil	Diff	Tolerance	Status
requiredThickness	155.60mm	155.56mm	0.03%	2.00%	✅
recommendedThickness	160.00mm	160.00mm	0.00%	0.00%	✅
momentX	47.20kN·m/m	47.20kN·m/m	0.01%	5.00%	✅
momentY	30.25kN·m/m	30.25kN·m/m	0.01%	5.00%	✅
bottomReinforcementX.requiredArea	1115.0mm²/m	1115.0mm²/m	0.00%	5.00%	✅
deflectionRatio	0.9800—	0.9812—	0.12%	5.00%	✅