ALOGY tools

How we verify the calculations

ALOGY Tools calculates with the equations, coefficients and tables of the standards cited on each page, not with values from memory. Below are points published by official sources, side by side with what the tools calculate.

A point agrees when the difference fits within the rounding of the published value (half of its last digit), unless the group states another tolerance. The ALOGY Tools column is calculated when this page is generated, by the same code the tools run.

Thermocouples: voltage with the reference junction at 0 °C

Source: NIST ITS-90 Thermocouple Database (Monograph 175), one point of each type

PointPublished valueALOGY ToolsDifferenceStatus
Type K, 300 °C12.209 mV12.20857 mV−0.00043Agrees
Type J, 800 °C45.494 mV45.49439 mV+0.00039Agrees
Type T, −100 °C−3.379 mV−3.37858 mV+0.00042Agrees
Type E, −100 °C−5.237 mV−5.23718 mV−0.00018Agrees
Type N, −100 °C−2.407 mV−2.40681 mV+0.00019Agrees
Type R, 1200 °C13.228 mV13.22797 mV−3.5 × 10⁻⁵Agrees
Type S, 1200 °C11.951 mV11.95055 mV−0.00045Agrees
Type B, 1000 °C4.834 mV4.83434 mV+0.00034Agrees

Used in: Thermocouple calculator

PT100: resistance from temperature

Source: IEC 60751:2022, reference table (Callendar–Van Dusen)

PointPublished valueALOGY ToolsDifferenceStatus
PT100, −200 °C18.52 Ω18.5201 Ω+8 × 10⁻⁵Agrees
PT100, −100 °C60.26 Ω60.2558 Ω−0.0042Agrees
PT100, 100 °C138.51 Ω138.5055 Ω−0.0045Agrees
PT100, 850 °C390.48 Ω390.4811 Ω+0.0011Agrees

Used in: PT100 calculator

Units: conversion factors

Source: NIST SP 811 (2008), appendix B; CGPM standard gravity (9.80665 m/s²)

PointPublished valueALOGY ToolsDifferenceStatus
1 psi6.894757 kPa6.89475729 kPa+2.9 × 10⁻⁷Agrees
1 kgf/cm²98.0665 kPa98.0665 kPa0Agrees
1 hp745.6999 W745.699872 W−2.8 × 10⁻⁵Agrees
1 US gallon per minute3.785412 L/min3.78541178 L/min−2.2 × 10⁻⁷Agrees

Used in: Industrial unit converter

Gases: molar volume of the ideal gas

Source: CODATA 2018 (at 0 °C and 101.325 kPa)

PointPublished valueALOGY ToolsDifferenceStatus
0 °C and 101.325 kPa22.41396954 L/mol22.4139695446 L/mol+4.6 × 10⁻⁹Agrees

Used in: ppm ↔ mg/m³ for gases

Bearings: defect frequencies of the 6205

Source: Case Western Reserve University Bearing Data Center, 6205-2RS JEM SKF bearing

PointPublished valueALOGY ToolsDifferenceStatus
Inner race (BPFI)5.4152 × shaft speed5.415224 × shaft speed+2.4 × 10⁻⁵Agrees
Outer race (BPFO)3.5848 × shaft speed3.584776 × shaft speed−2.4 × 10⁻⁵Agrees
Cage (FTF)0.39828 × shaft speed0.3983084 × shaft speed+2.8 × 10⁻⁵Agrees
Rolling element (2 × BSF)4.7135 × shaft speed4.713443 × shaft speed−5.7 × 10⁻⁵Agrees

The published multiples are rounded from the same geometry; we accept up to 0.0001 of difference.

Used in: Bearing fault frequencies

Piping: inside diameter and friction

Source: ASME B36.10M (outside diameter 4.500 in, wall 0.237 in); Moody chart for a smooth pipe

PointPublished valueALOGY ToolsDifferenceStatus
4" Sch 40 pipe, inside diameter102.26 mm102.26 mm−1.4 × 10⁻¹⁴Agrees
Friction factor, smooth pipe, Re = 100,0000.01800.01799−1 × 10⁻⁵Agrees

Used in: Flow × velocity × diameter · Pipe pressure drop

Cables: values from the NBR 5410 tables

Source: ABNT NBR 5410:2004 (Brazilian standard, based on IEC 60364), tables 30, 36, 40 and 42

PointPublished valueALOGY ToolsDifferenceStatus
Capacity, 2.5 mm² (table 36)24 A24 A0Agrees
Capacity, 4 mm² (table 36)32 A32 A0Agrees
Capacity, 10 mm² (table 36)57 A57 A0Agrees
Temperature factor, PVC, 40 °C (table 40)0.870.870Agrees
Grouping factor, 3 bunched circuits (table 42)0.700.70Agrees
Short-circuit constant k, copper, PVC (table 30)115 A·√s/mm²115 A·√s/mm²0Agrees

Capacities for method B1 (cables in conduit), two loaded conductors, copper, PVC 70 °C.

Used in: Residential cable sizing · Industrial cable sizing

4–20 mA flow signal from differential pressure

Source: ISO 5167-1: flow is proportional to the square root of the differential pressure

PointPublished valueALOGY ToolsDifferenceStatus
25 % of the differential pressure → flow50.0 %50 %0Agrees
1 % of the differential pressure → flow10.0 %10 %0Agrees

Used in: 4–20 mA calculator

How we do it

  1. Primary source: equations and coefficients come from the standard itself or from the reference publication (NIST, IEC, ABNT, ASME, CODATA), with the edition cited on the tool’s page.
  2. Independent expected value: in each test, the expected value comes from the published source or from a hand calculation, never from the code under test.
  3. Automated tests: the points on this page and hundreds of other cases (range ends, units, invalid inputs, an empty field that is not zero) run on every code change, before every release.
  4. Stated limits: outside the range of the standard, the tool warns instead of making up a number. For example, the type B thermocouple does not convert mV to temperature below 250 °C.
  5. Same data, same result: the calculation is deterministic and the PDF report records the data used, for whoever checks it later.

What this verification does not cover

  • Results depend on the data entered: dimensions, ranges, sensor type and installation conditions are up to the person using the tool.
  • The tools do not replace a signed design, a certificate from an accredited calibration laboratory or the official strapping of a tank.
  • Standards are revised: each tool page cites the edition used in its calculations.

Found a difference?

Write to contato@alogytools.com with the tool, the data and the reference value. Every tool also has a suggestion field.

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