Works out the before-plating pitch diameter limits and the thread gage sizes needed to inspect a part before it is coated. Companion to the three-wire pitch diameter calculator.
Reference tool. Not a certified measurement.
UN inch class limits are computed from published ASME B1.1 formulas. Pre-plate values are computed
from the geometry of the 60° thread form. All values are provided for reference and estimation only.
The controlling documents are ASME B1.1, ASME B1.2 and the customer's print or plating specification;
where this page and those documents disagree, they govern. The choice of pre-plate convention comes
from the print or plating spec, not from this tool. Verify all values before using them for inspection,
acceptance, gage procurement, or the disposition of product. This tool does not compute gagemaker's
tolerance, does not reproduce coating thickness tables from ASTM or military specifications, and does
not compute metric class limits. No warranty of any kind is made as to accuracy, completeness, or
fitness for a particular purpose, and no liability is accepted for any loss or damage arising from its use.
Version 1.0 · Pre-plate values computed, not transcribed · Last reviewed August 2026
Inputs
Formulas and conventions
The 4t relationship
Radial thickness from a diametral figure
t = tdiametral / 2
Flank displacement along the pitch line
t / sin 30° = 2t
Change in pitch diameter, both flanks
4t
External thread, pre-plate
PDbefore = PDafter − 4t smaller
Internal thread, pre-plate
PDbefore = PDafter + 4t larger
The three conventions
Convention
Limit at risk
Other limit
Band
A band preserved
shifted by 4 tmax
shifted by 4 tmax
unchanged
B full range, narrowed
shifted by 4 tmax
shifted by 4 tmin
narrowed by 4(tmax−tmin)
C single limit shifted
shifted by 4 tmax
unchanged
narrowed by 4 tmax
For an external thread the limit at risk is the maximum, because plating only moves the pitch
diameter up. For an internal thread it is the minimum, because plating only moves it down.
Convention C leaves the other limit alone on exactly that reasoning.
When a single thickness is entered, conventions A and B are algebraically identical, since
tmin and tmax are the same number. Only C differs.
Note on convention C. You asked for A and B. C was added because it follows the directional
logic of ASME B1.1 para. 7.5, which handles coating by decreasing the maximum pitch diameter by four
times the coating thickness and does not move the minimum. A print that invokes B1.1 for coated
threads implies the tightest of the three bands. C is included so that reading is available, not
because it is the default. The correct choice comes from your print or plating specification, not
from this tool.
Gage pitch diameters
External, thread ring gage
GO = pre-plate maximum · NO-GO = pre-plate minimum
Internal, thread plug gage
GO = pre-plate minimum · NO-GO = pre-plate maximum
GO always sits at maximum material. These are basic gage pitch diameters.
Gagemaker's tolerance, X or W per ASME B1.2 or B1.16M, is tabulated rather than derivable from a
formula and is deliberately not computed here. Your gage maker applies it.
Where the after-plating limits come from
UN inch series: computed. Same ASME B1.1 engine as the three-wire tool.
D₂ = D − 0.6495190528 p,
T₂ₑ = 0.0015 ∛D + 0.0015 √Lₑ + 0.015 ∛(p²),
allowance 0.300 T₂ₑ for class 2A and zero for 3A, PD multipliers 2A 1.000,
3A 0.750, 2B 1.300, 3B 0.975. Length of engagement is D for UNC and UNF and
9p for UNEF, per B1.1 para. 5.1.
Metric and everything else: entered by you. ISO 965-1's foreword states that its tolerance
values were calculated from the formulae and rounded to the nearest R40 preferred number, but that
these rounding rules were not always applied in order to reproduce a smooth progression. The tables
therefore contain values no rounding rule will reproduce. Rather than publish metric limits that are
right most of the time, this tool asks you to supply them from a controlled source. Manual entry is
also the path for UNS, modified pitch diameters, and anything outside the standard UN series.
Not covered
Gagemaker's tolerance. Coating thickness tables from ASTM or military specifications, which you enter
yourself. Non-uniform or geometry-dependent deposition, including thickness variation between the
crest, flank and root, and the heavier build that occurs at thread crests in electroplating. Plating
on UNR or UNJ root forms. Taper threads. Lead and flank angle effects of coating. Classes 1A and 1B.
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