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Unified Inch Ground Thread Tap Limits (Pitch and Major Diameter, H and L Limit Numbers)

For a Unified inch ground thread tap, what are its pitch and major diameter limits for the standard limits or an H or L limit number, what limit number is it, and is the tap I measured within them?

Pitch diameter and major diameter limits of an ASME B94.9 Unified inch ground thread tap by the formulas the handbook gives: thread height and basic pitch diameter from the threads per inch, the minimum and maximum tap pitch diameters for the standard limits (minimum C over basic) or for an H (over basic) or L (under basic) limit number in steps of 0.0005 in, the equivalent limit number, the maximum major diameter from the specified tap pitch diameter with the constant A = 0.130 P, and the minimum major diameter with the tolerance B by threads per inch, with your measured diameters checked against them; the table allowances C and D for the size are entered by you.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Thread
Basic major (nominal) diameterinBasic major diameter of the Unified thread, for example 0.375 for 3/8 in.
Threads per inchTPIThreads per inch; the pitch is 1 ÷ TPI.
Tap limits
Pitch diameter limitschoiceStandard taps take the minimum pitch diameter C over basic from the table; H and L taps are marked with a number of 0.0005 in steps over or under basic.
Limit number (H or L)Limit number marked on the tap after H or L; not used for the standard limits.
Amount over basic for the minimum pitch diameter C (from the table)inAmount over basic for the minimum pitch diameter for the threads per inch and diameter range, from the handbook’s Table 2 (ASME B94.9); also used for the major diameter.
Pitch diameter tolerance D (from the table)inPitch diameter tolerance for the threads per inch and diameter range, from Table 2.
Measured tap
Measured pitch diameterinPitch diameter you measured on the tap.
Measured major diameterinMajor diameter you measured on the tap.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

Thread

What this means: Basic major (nominal) diameter
Illustration: Basic major (nominal) diameterA circle with a line straight through its centre from edge to edge, marking the diameter Basic major (nominal) diameter.Dmeasured acrossthe centreExample: 0.375 inBasic major (nominal) diameter
What it is
Basic major diameter of the Unified thread in inches.
Units and format
Enter a number in in: inches. The form accepts 0.05 in to 6 in. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.375 in as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Sets the basic pitch and major diameters.
Get it right
For example 0.375 for 3/8-16 or 0.190 for No. 10.
What this means: Threads per inch
Illustration: Threads per inchA screw-thread profile with crests and roots, the pitch from crest to crest and the major and minor diameters, for Threads per inch.pitchmajorminornExample: 16 TPIThreads per inch
What it is
Number of threads per inch of thread length.
Units and format
Enter a number in TPI: threads per inch. The form accepts 4 TPI to 80 TPI. Required: the tool does not calculate until every input is valid.
Example
The form opens with 16 TPI as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Sets the pitch, thread height, A and B.
Get it right
The number after the dash in the size, such as 16 in 3/8-16.

Tap limits

What this means: Pitch diameter limits
Illustration: Pitch diameter limitsThe options for Pitch diameter limits, with the one currently selected highlighted.Standard: minimum = basic + CH limit number (maximum over basic)L limit number (minimum under basic)Example: Standard: minimum = basic…Pitch diameter limits
What it is
Which pitch diameter limits the tap is made to.
Units and format
Choose one of 3 options from the list: Standard: minimum = basic + C; H limit number (maximum over basic); L limit number (minimum under basic).
Example
The form opens with “Standard: minimum = basic + C” selected as a worked example. Choose the option that matches your case.
Effect on the result
Decides how the minimum and maximum pitch diameters are set.
Get it right
Read the marking: H or L with a number, or no number for standard limits.
What this means: Limit number (H or L)
Illustration: Limit number (H or L)A row of identical items being counted; Limit number (H or L) is how many there are.no.Example: 3Limit number (H or L)
What it is
Limit number marked on the tap after H or L.
Units and format
Enter a plain number with no unit. The form accepts 1 to 40. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Moves the tap pitch diameter up (H) or down (L).
Get it right
Each step is 0.0005 in over or under the basic pitch diameter.
What this means: Amount over basic for the minimum pitch diamete…
Illustration: Amount over basic for the minimum pitch diameter C (from the table)A nominal size line with an upper and a lower limit around it; parts inside the band are acceptable. The figure illustrates Amount over basic for the minimum pitch diameter C (from the table).upperlowerCExample: 0.001 inAmount over basic for the minimum pitch diame…
What it is
Amount over basic for the minimum pitch diameter, from ASME B94.9 Table 2.
Units and format
Enter a number in in: inches. The form accepts 0 in to 0.05 in. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.001 in as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Sets the standard minimum pitch diameter and the major diameter.
Get it right
Read the C column for your threads per inch and diameter range.
What this means: Pitch diameter tolerance D (from the table)
Illustration: Pitch diameter tolerance D (from the table)A nominal size line with an upper and a lower limit around it; parts inside the band are acceptable. The figure illustrates Pitch diameter tolerance D (from the table).upperlowerD_tolExample: 0.0005 inPitch diameter tolerance D (from the table)
What it is
Pitch diameter tolerance, from Table 2.
Units and format
Enter a number in in: inches. The form accepts 0.000001 in to 0.05 in. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.0005 in as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Sets the band between minimum and maximum pitch diameter.
Get it right
Read the D column for your threads per inch and diameter range.

Measured tap

What this means: Measured pitch diameter
Illustration: Measured pitch diameterA circle with a line straight through its centre from edge to edge, marking the diameter Measured pitch diameter.PD_mmeasured acrossthe centreExample: 0.3357 inMeasured pitch diameter
What it is
Pitch diameter you measured on the tap, in inches.
Units and format
Enter a number in in: inches. The form accepts 0.01 in to 6 in. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.3357 in as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Checked against the pitch diameter limits.
Get it right
Measure over wires on the full threads behind the chamfer.
What this means: Measured major diameter
Illustration: Measured major diameterA circle with a line straight through its centre from edge to edge, marking the diameter Measured major diameter.M_mmeasured acrossthe centreExample: 0.381 inMeasured major diameter
What it is
Major diameter you measured on the tap, in inches.
Units and format
Enter a number in in: inches. The form accepts 0.01 in to 6 in. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.381 in as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Checked against the major diameter limits.
Get it right
Measure across the crests on the full threads.

Method and formulas

  1. P = 1 ÷ TPI; symmetrical thread height h = 0.64951905 P; basic pitch diameter = D − h.
  2. Standard: minimum tap PD = basic PD + C. H limit: maximum = basic PD + 0.0005 × number. L limit: minimum = basic PD − 0.0005 × number.
  3. The other limit uses the tolerance D: maximum = minimum + D, or minimum = maximum − D.
  4. Equivalent limit number = (maximum tap PD − basic PD) ÷ 0.0005 (H), or (basic PD − minimum tap PD) ÷ 0.0005 (L) when the tap is below basic.
  5. Maximum major diameter = minimum tap PD − C + 0.64951904 P + A, with A = 0.130 P; minimum major = maximum − B, with B = 0.087 P (48 to 80 TPI), 0.076 P (36 to 47) or 0.065 P (4 to 35).
  6. Example: a 0.375 in × 16 TPI tap with standard limits has a pitch diameter from 0.33541 to 0.33591 in, which is H 3.

Limitations

  • Ground thread taps with lead angles up to 5°, as the standard assumes; cut thread taps use the handbook’s Table 3.
  • C and D depend on the threads per inch and the diameter range; enter them from ASME B94.9 or the handbook’s Table 2 (for intermediate pitches use the next coarser pitch).
  • The handbook’s Table 2 prints A for 12 TPI as 0.1080; the formula A = 0.130 P gives 0.0108, as used here.
  • Lead and angle tolerances are not checked.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Read what an H or L number on an inch tap means in diameters
  • Check a measured inch tap before tapping a gauged thread
  • Specify an oversize or undersize inch tap

Who it is for

  • Toolroom and inspection staff
  • Production engineers
  • Tool buyers

What you get

  • Pitch, thread height and basic pitch diameter
  • Minimum and maximum tap pitch diameter
  • Equivalent H or L limit number
  • Constant A, tolerance B and the major diameter limits
  • Measured diameters against the limits, with millimetre equivalents

Interpreting the result

  • An H number gives the maximum tap pitch diameter in half-thousandths over basic; H3 for a 3/8-16 tap is 0.0015 in over.
  • An oversize tap also carries a larger major diameter, because the major diameter is set from the tap pitch diameter.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 904, 906–907, 909. Topic reference; no source tables or recommended settings are reproduced.

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Open the Unified Inch Ground Thread Tap Limits (Pitch and Major Diameter, H and L Limit Numbers) calculator