Bolt Thread Pitch & Stress Area Chart — Metric & SAE

Every thread number that the calculators on this site ask for, in one place: pitch and TPI, major, pitch, and minor diameters, the tensile stress area behind every strength number, and the tap drill that starts the internal thread. Metric M2–M48 coarse and fine; unified #0 to 1-1/2″ UNC and UNF — computed from the basic 60° thread form so the tables stay self-consistent to the last decimal.

38 thread sizes tabulated Formulas printed beside the data Measurement methods included

Metric Thread Chart (ISO 261 coarse, with fine variants)

Diameters follow the basic thread form: pitch diameter d₂ = d − 0.6495·p, minor diameter d₁ = d − 1.0825·p. The tensile stress area uses the ISO 68-1 formula in the next section. Tap drill is the common 75%-thread approximation d − p.

SizePitch p (mm)Major d (mm)Pitch dia d₂ (mm)Minor d₁ (mm)As (mm²)Fine pitch (mm)Tap drill (mm)
M20.421.741.5672.1—1.6
M2.50.452.52.2082.0133.4—2.05
M30.532.6752.4595—2.5
M40.743.5453.2428.8—3.3
M50.854.484.13414.2—4.2
M6165.3514.91820.10.755
M81.2587.1886.64736.616.75
M101.5109.0268.376581.258.5
M121.751210.86310.10684.31.2510.25
M1421412.70111.835115.41.512
M1621614.70113.835156.71.514
M202.52018.37617.294244.81.517.5
M2432422.05220.753352.5221
M303.53027.72726.211560.6226.5
M3643633.40231.67816.7332
M424.54239.07737.1291120.9337.5
M4854844.75242.5871473.1343

Fine pitch columns show the ISO 261 fine series where a standard variant exists — fine tap drill ≈ d − fine pitch. Basic diameters are unrounded theoretical values; actual parts carry ISO 965 tolerance classes (6H internal / 6g external is the common fit) on top of these numbers.

Unified Thread Chart (UNC coarse, with UNF variants)

Unified geometry follows the same 60° form per inch: pitch diameter = D − 0.6495/n, minor diameter = D − 1.0825/n, with n the threads per inch. Stress areas are shown in mm² for direct comparison with the metric table; multiply by 0.00155 to read in². Tap drill approximates the 75%-thread value D − 1/n.

SizeTPIMajor D (in)Pitch dia (in)Minor (in)As (mm²)UNF TPITap drill (in)
#0480.060.04650.03740.8—0.039
#1400.0730.05680.04591.2—0.048
#2320.0860.06570.05221.6—0.055
#4400.1120.09580.08493.9—0.087
#6320.1380.11770.10425.9—0.107
#8320.1640.14370.13029—0.133
#10240.190.16290.144911.3320.148
1/4"200.250.21750.195920.5280.2
5/16"180.31250.27640.252433.8240.257
3/8"160.3750.33440.307350240.313
7/16"140.43750.39110.360268.6200.366
1/2"130.50.450.416791.5200.423
9/16"120.56250.50840.4723117.4180.479
5/8"110.6250.5660.5266145.8180.534
3/4"100.750.68510.6418215.8160.65
7/8"90.8750.80280.7547297.9140.764
1"810.91880.8647390.8120.875
1-1/8"71.1251.03220.9704492.4120.982
1-1/4"71.251.15721.0954625.2121.107
1-3/8"61.3751.26681.1946745.1121.208
1-1/2"61.51.39181.3196906.6121.333

Tap drill values are computed approximations, not the letter/number drill chart — for example 1/4-20 wants a #7 drill (0.201 in), which the formula reproduces at 0.200. Choose the nearest standard drill; the labeled chart on the homepage’s tap-drill section lists the conventional lettered and numbered selections.

Measuring a bolt thread with calipers and a pitch gauge on a workshop benchMeasure across ten threads, divide by tenPhoto: Unsplash

Why compute instead of copy?

Printed charts round, drop fine series, and stop at the sizes their editors guessed you’d need. The tables above are generated live from the same formulas the site’s calculators run — so the As in a row here is bit-identical to the As inside the strength check, and the table extends to the whole standard ladder without typos.

Formulas & Measurement

From Callout to Number: How Each Column Is Built

A metric callout like M10×1.5 states the nominal diameter and the pitch in one breath; a unified callout like 1/4-20 UNC states the diameter in inches and the threads per inch. Everything else in the tables derives from those two numbers through the 60° thread form — the same geometry in both systems, just anchored differently.

As = 0.7854 · (d − 0.9382·p)²

As = 0.7854 · (d − 0.9743/n)²  (unified)

tensile stress area — the number every strength calculation on this site uses

Pitch ↔ TPI conversion

p = 25.4 / TPI, and TPI = 25.4 / p. The reciprocal pair across millimeters and inches is the single most useful conversion in mixed-unit shops: an 8 TPI thread is a 3.175 mm pitch, and an M12 coarse thread at 1.75 mm is 14.5 TPI — close to, but never exactly, a unified pitch.

Major, pitch, and minor diameters

Major is the crest diameter — the nominal. The basic pitch diameter sits where the thread flanks would meet a sharp V: d − 0.6495·p. The basic minor is the root: d − 1.0825·p. These are the sharp-V basics; real parts truncate and tolerance them, which is what the 6g/6H classes control.

Measuring pitch in the shop

A pitch gauge reads it directly. Without one, count crests over a ruler: across ten threads is the reliable span, because a single-thread measurement at 1.5 mm pitch is inside most rulers' error. Unified threads are friendlier — crests per inch is a straight count.

Measuring pitch diameter

Three wires of known diameter seated in the V-grooves, micrometer across them, and the standard wire correction added. Thread micrometers and optical comparators do the same job faster; all three verify the number the tolerance class promises.

Using the Chart

Where Each Column Feeds Which Calculation

This page is the input sheet for the rest of the toolset, and each column maps to a specific calculator downstream. Knowing which number goes where is the difference between a lookup and an engineering habit.

As → strength & sizing

The tensile stress area column is what the bolt size calculator walks against a required area, and what the preload check multiplies by the grade's yield. Any capacity number in kN or lbf on this site started as an As from this table.

Pitch / TPI → torque & engagement

The torque calculator uses the series to pick As; the thread engagement calculator takes pitch to compute the pitch diameter that sets minimum engagement depth in a tapped hole.

Tap drill → fabrication

Before any thread exists, the drill decides its strength. The d − p rule lands near the 75% thread engagement most tapped holes want — enough strength without breaking taps in tough material.

Minor & pitch dia → inspection

Go/no-go gauges and three-wire measurements verify the manufactured thread against the basic diameters plus its tolerance class. The table's basic values are the anchor the tolerances reference.

Your bolt thread pitch chart, cross-referenced

Use this bolt thread pitch chart alongside its companions: the hex bolt & nut dimensions chart covers the head and wrench sizes outside the thread, and the clearance hole chart covers the hole the bolt passes through. For calculations, start at the bolt torque calculator on our homepage or browse every tool on the all calculators page — the As values here are the exact ones those tools use.

FAQ

Thread Geometry FAQ

Conversions, measurement, tolerance classes, and how the table connects to the calculators.

How do I convert TPI to thread pitch?
Pitch and threads-per-inch are reciprocals across the unit systems. TPI to metric pitch uses p = 25.4 / TPI — a 20 TPI thread has a pitch of 25.4/20 = 1.27 mm. Metric pitch to TPI runs the same formula backwards: TPI = 25.4 / p, so an M10 coarse thread at 1.5 mm pitch would correspond to about 16.9 threads per inch. The two scales never land exactly on each other, which is why a metric nut never fits a unified bolt even when the wrench sizes coincide.
How is thread pitch measured without a gauge?
Lay a ruler along the thread and count the crest-to-crest distance across a known number of threads, then divide — measuring across ten threads and dividing by ten averages out the error that a single-thread measurement suffers. For imperial threads, count the crests that fall within one inch. A screw pitch gauge does the same job instantly: leaf by leaf, the one that rocks with no play is the pitch. Pressing the thread into paper and measuring the imprint works in a pinch for larger sizes.
How is the pitch diameter of a thread measured?
The pitch diameter is too deep inside the V to caliper directly. The classic shop method is three-wire measurement: lay three hardened wires of a known diameter into the thread grooves — two on one side, one opposite — measure across them with a micrometer, and correct for the wire size with the standard formula. A dedicated thread micrometer with V-shaped anvils reads it in one step, and optical or thread-roll comparators handle production inspection. The tables on this page list the basic pitch diameter; actual parts carry a tolerance class on top of it.
What does 6H or 6g mean on a metric thread?
Those are tolerance classes from ISO 965. The number is the tolerance grade — smaller numbers mean tighter tolerance — and the letter is the position of the tolerance band relative to the basic profile: uppercase letters (H) denote internal threads, lowercase (g) denote external. A standard structural bolt ships as 6g and mates with a 6H tapped hole, giving the common fit called out simply as 6H/6g. Closer fits like 5H/5g6g exist for precision work, and the classes stack on top of the basic diameters tabulated here.
Why is the tensile stress area smaller than the nominal area?
Because tension through a threaded section has to pass through the thread teeth, and the roots cut that path down. The stress area As blends the pitch and minor diameters into one effective number that matches how a threaded rod actually fails in a tensile test — not at the flat root, but along the helical shear path between them. It runs about 78–88% of the nominal circle for coarse series, which is why sizing tools on this site always compute capacity from As rather than from the nominal diameter.
What size drill do I need before tapping?
For metric coarse threads the common 75%-thread approximation is simply nominal minus pitch: an M10×1.5 tap wants an 8.5 mm drill, an M8×1.25 wants 6.8 mm. Unified sizes use the same logic in inches — drill ≈ D − 1/TPI, so a 1/4-20 tap wants a #7 drill (0.201 in). The tables give this value per size. Softer materials can take a slightly smaller drill for more thread engagement; hard or gummy materials often want a larger one to keep the tap from breaking.
Do these table values apply to internal threads too?
The pitch and stress areas apply directly, but the diameters need one distinction: the numbers tabulated here are the basic external-thread values. Internal threads carry the same pitch and pitch diameter nominally, but their minor and major diameters sit on the opposite side of the basic profile — a tapped hole's minor diameter is larger than the bolt's, by design, to leave clearance. The columns are labeled accordingly, and the tap-drill column is the internal-thread side of that clearance story.
Is M10×1.5 a coarse or fine thread?
Coarse. 1.5 mm is the standard ISO 261 coarse pitch for M10 — the value a plain 'M10' callout implies. The fine series at this size is M10×1.25, and it must be written out in full because the omission would silently deliver the coarse version. The metric table above lists both pitches side by side so the distinction is one glance away; the same rule holds for the unified ladder, where plain '1/2 inch' means UNC 13 TPI and 1/2-20 must say UNF explicitly.

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