← The evidence ledger
Evidence row 2201806
Observed , by sync.x402_bazaar/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://structural-calc.x402tookit.com/beam-deflection
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- 5b5895a8bba5e4cb653733c686f40e5aec5002c6125d6bfbd23543414778400c
- Leaf
- 0x97e3c43d2399019fdb4d7465003319caaf5b4c51921ed3410ac3631fe5aa62e2
What was observed
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"name": "Structural and Beam Calculators",
"owner_address": "0xb531320805c5bed1d46aeadcf4f008fdf172dbda",
"raw": {
"accepts": [
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],
"description": "Beam max deflection, end slope, reactions and max moment: simply supported or cantilever, point or uniform load. Educational.",
"extensions": {
"bazaar": {
"info": {
"input": {
"method": "GET",
"queryParams": {
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"I": 80000000,
"force": 20000,
"length": 4000,
"load": "point",
"support": "simply-supported"
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"example": {
"EI": 16000000000000,
"asOf": "2026-10-21T05:44:07.926Z",
"deflectionUnderLoad": 1.66666667,
"degraded": false,
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"endSlopesRadians": {
"left": 0.00125,
"right": 0.00125
},
"formula": "R1 = P b / L, R2 = P a / L, M = P a b / L, delta under load = P a^2 b^2 / (3 E I L), delta max = P b (L^2 - b^2)^1.5 / (9 sqrt(3) E I L) (longer segment); centre load: delta = P L^3 / (48 E I)",
"length": 4000,
"load": "point",
"loadValue": {
"force": 20000,
"position": 2000
},
"maxDeflection": 1.66666667,
"maxDeflectionAt": 2000,
"maxMoment": 20000000,
"maxMomentAt": 2000,
"maxShear": 10000,
"maxSlopeAt": "left support",
"maxSlopeDegrees": 0.0716197244,
"maxSlopeRadians": 0.00125,
"notChecked": [
"EDUCATIONAL ESTIMATE, NOT ENGINEERING DESIGN: textbook closed-form formulas with idealised assumptions; no building-code or standard compliance check, no load or resistance factors, no safety verifica…",
"self-weight, shear deformation (valid for slender beams, span/depth above about 10), lateral-torsional buckling, local buckling, connection and bearing checks",
"…2 more"
],
"reactions": {
"left": 10000,
"right": 10000
},
"reasons": [
"Linear-elastic Euler-Bernoulli beam theory with constant EI, small deflections, load acting downward.",
"EDUCATIONAL ESTIMATE, NOT ENGINEERING DESIGN: textbook closed-form formulas with idealised assumptions; no building-code or standard compliance check, no load or resistance factors, no safety verifica…"
],
"source": "Roark's Formulas for Stress and Strain and AISC beam diagram formulas (closed-form, computed locally)",
"spanToDeflectionRatio": 2400,
"summary": "simply-supported beam, point load: max deflection 1.66666667 mm at 2000 mm (span/2400), max moment 20000000 N*mm. Educational estimate only.",
"support": "simply-supported",
"units": {
"area": "mm2",
"density": "kg/m3",
"expansion": "1/degC",
"force": "N",
"inertia": "mm4",
"length": "mm",
"moment": "N*mm",
"sectionModulus": "mm3",
"stress": "MPa (N/mm2)",
"system": "si",
"temperature": "degC",
"torque": "N*mm",
"udl": "N/mm (= kN/m)"
},
"verdict": "COMPUTED",
"warning": "EDUCATIONAL ESTIMATE, NOT ENGINEERING DESIGN: textbook closed-form formulas with idealised assumptions; no building-code or standard compliance check, no load or resistance factors, no safety verifica…"
},
"type": "json"
}
},
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"type": "number"
},
"I": {
"description": "Second moment of area about the bending axis (mm4 or in4)",
"type": "number"
},
"S": {
"description": "Optional section modulus (mm3 or in3) to add the bending stress M/S",
"type": "number"
},
"force": {
"description": "For load=point: the downward load P (N or lbf)",
"type": "number"
},
"length": {
"description": "Span L (mm or in), greater than 0, up to 1e12",
"type": "number"
},
"load": {
"description": "point (one concentrated load) or udl (uniform load over the full span)",
"type": "string"
},
"position": {
"description": "For load=point: distance a from the left support or fixed end (default: mid-span; cantilever default: free end)",
"type": "number"
},
"support": {
"description": "simply-supported or cantilever",
"type": "string"
},
"udl": {
"description": "For load=udl: load per unit length w (N/mm or lbf/in; 1 N/mm = 1 kN/m)",
"type": "number"
},
"units": {
"description": "si (default: mm, N, MPa, N*mm) or us (in, lbf, psi, in*lbf); every length, force, stress and modulus you send and receive uses that one system",
"type": "string"
}
},
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"degraded": {
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"disclaimer": {
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"endSlopesRadians": {
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"maxSlopeAt": {
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},
"lastUpdated": "2026-11-01T23:25:01.812Z",
"quality": {
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"l30DaysUniquePayers": 1,
"lastCalledAt": "2026-11-01T23:25:01.507Z"
},
"resource": "https://structural-calc.x402tookit.com/beam-deflection",
"serviceName": "Structural and Beam Calculators",
"tags": [
"beam",
"deflection",
"structural",
"statics"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "Beam max deflection, end slope, reactions and max moment: simply supported or cantilever, point or uniform load. Educational."
}What the leaf hashes
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Fold these into the leaf in order, hashing each sorted pair with keccak256, to reach the root of (444186 rows).
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- Day root
- 0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
- Chained
- 0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
- Published
- On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af