Technical Tables

Workshop reference: threads, transmission, bearings, gears, tolerances and fits, inches and millimeters, and unit conversion.

ISO metric threads

ThreadP (mm)Fine pitchTap drill (mm)d₃ (mm)Aₛ (mm²)Hex wrenchHex key
M1.60.35—1.251.1711.33.21.5
M20.4—1.61.5092.141.5
M2.50.45—2.051.9483.452
M30.5—2.52.38755.52.5
M3.50.6—2.92.7646.863
M40.7—3.33.1418.873
M50.8—4.24.01914.284
M61—54.77320.1105
M81.2516.86.46636.6136
M101.51.258.58.1658168
M121.751.2510.29.85384.31810
M1421.51211.546115.42112
M1621.51413.546156.72414
M182.51.515.514.933192.52714
M202.51.517.516.933244.83017
M222.51.519.518.933303.43417
M24322120.319352.53619
M27322423.319459.44119
M303.5226.525.706560.64622
M333.5229.528.706693.65024
M36433231.093816.75527
M39433534.093975.86030
M424.5337.536.4791120.96532
M454.5340.539.47913067036
M48534341.8661473.17536
M52544745.8661757.88036
M565.5450.549.25220308541
M64645856.63926769546
Nomenclature and interpretation
mm / in
Millimeter / inch. 1 in = exactly 25.4 mm.
M / d / P
M identifies an ISO metric thread; d is the nominal outside bolt diameter and P is the axial distance between adjacent crests, both in mm. M10 ×1.5: diameter 10 mm and pitch 1.5 mm. Fine pitch is an alternative, not the pitch used for every column in this row.
d₂ / d2
Bolt pitch diameter: theoretical cylinder where thread thickness and gap width are equal, in mm.
d₃ / d3
Bolt minor/root diameter at the root of the external thread, in mm. Not nominal diameter or tap drill size.
D₁ / D1
Internal thread (nut) minor diameter, in mm; a basic geometric value, not a selected drill size.
h₃ / H
h₃: basic radial external thread height. H: height of the fundamental 60° profile triangle. Both in mm; H is not overall bolt height.
Aₛ / As (mm²)
Effective tensile stress area of the threaded section, in square millimeters. Written A subscript s, not A2. Converts stress into force; not the nominal-diameter circle area.
Broca / Llave / Allen
Tap drill: indicative hole diameter before tapping. Wrench: across-flats size of the head/nut. Hex key: across-flats size of the internal hex socket. Check pitch, head style and manufacturer.

Reading the values: Each row uses its diameter and primary pitch. d₃ and Aₛ are reference geometric values; mm² means area, not length. Confirm tolerances and head type before selecting tools.

Indicative tightening torque

K = 0.20; F = 0.7·Rp0.2·Aₛ. Well-lubricated thread: reduce ≈25%. Workshop reference only, not a substitute for the manufacturer or VDI 2230; confirm lubricant, friction and preload.

Thread8.8 · N·m (kN)10.9 · N·m (kN)12.9 · N·m (kN)
M56.4 (6.4)8.9 (8.9)10.7 (10.7)
M610.8 (9)15.2 (12.7)18.3 (15.2)
M826.2 (16.4)36.9 (23.1)44.3 (27.7)
M1052 (26)73.1 (36.5)87.7 (43.8)
M1290.6 (37.8)127.4 (53.1)152.9 (63.7)
M14144.8 (51.7)203.6 (72.7)244.4 (87.3)
M16224.6 (70.2)315.8 (98.7)379 (118.4)
M18310.4 (86.2)436.5 (121.3)523.8 (145.5)
M20438.7 (109.7)616.9 (154.2)740.3 (185.1)
M22598.1 (135.9)841 (191.1)1009.2 (229.4)
M24758 (157.9)1066 (222.1)1279.2 (266.5)
M271111.4 (205.8)1562.9 (289.4)1875.5 (347.3)
M301506.9 (251.1)2119 (353.2)2542.8 (423.8)
M332050.7 (310.7)2883.8 (436.9)3460.6 (524.3)
M362634.4 (365.9)3704.7 (514.5)4445.6 (617.4)
Nomenclature and interpretation
8.8 / 10.9 / 12.9
ISO bolt property classes, not units or sizes. First number ×100: nominal Rm in MPa; second number ÷10: nominal yield-to-Rm ratio. Example 8.8: 800 MPa and 0.8 ×800 = 640 MPa. Standard minimums may depend on diameter.
Usos / Uses
8.8: common in machinery and structures; 10.9: mechanical joints requiring higher preload; 12.9: common in high-strength screws, including certain socket-head screws. Examples, not design selection: higher strength is not a safe automatic substitution; verify load, fatigue, corrosion, nut, lubrication and manufacturer.
T / N·m
T is tightening torque: turning effect, in newton-meters. N·m is neither force in N nor stress in MPa.
F / kN
F is estimated axial tightening preload (bolt tension), not maximum allowable external load. Shown in kilonewtons; 1 kN = 1000 N.
K = 0,20
Dimensionless nut/torque factor combining thread friction, bearing-surface friction and geometry. Assumed 0.20 here; NOT a universal constant. In temperature, K means kelvin: a different context.
T = K·d·F
Use d in meters and F in newtons to obtain T in N·m. Preload used is F = 0.7·Rp0.2·Aₛ: MPa and mm² give N. The 0.7 is the reference fraction of yield strength.

Reading the values: In “8.8 · N·m (kN)”, 8.8 is the class; the number outside parentheses is T and inside is F. For example 50 (25) means 50 N·m and 25 kN preload, not ultimate capacity. Lubrication changes K: the ≈25% reduction is indicative, never universal; follow the manufacturer procedure.

Nominal property classes

ClassRm (MPa)Rp0.2 (MPa)Rm (kgf/mm²)Rm (ksi)
4.640024040.7958.02
5.850040050.9972.52
8.880064081.58116.03
10.91000900101.97145.04
12.912001080122.37174.05
Nomenclature and interpretation
8.8 / 10.9 / 12.9
ISO bolt property classes, not units or sizes. First number ×100: nominal Rm in MPa; second number ÷10: nominal yield-to-Rm ratio. Example 8.8: 800 MPa and 0.8 ×800 = 640 MPa. Standard minimums may depend on diameter.
Usos / Uses
8.8: common in machinery and structures; 10.9: mechanical joints requiring higher preload; 12.9: common in high-strength screws, including certain socket-head screws. Examples, not design selection: higher strength is not a safe automatic substitution; verify load, fatigue, corrosion, nut, lubrication and manufacturer.
Rm
Ultimate tensile strength of the material: maximum test stress, not an allowable working load.
Rp0,2 / Rp0.2
0.2% proof/yield stress: stress corresponding to 0.2% permanent plastic strain, not fracture.
MPa / N/mm²
Megapascal: stress or pressure unit. 1 MPa = 1 N/mm²; it is not a force on its own.
kgf/mm² / ksi
Kilogram-force per square millimeter / thousand pounds-force per square inch. 1 kgf/mm² ≈ 9.80665 MPa; 1 ksi ≈ 6.894757 MPa. kgf is not kg of mass.

Reading the values: Stress (MPa) alone does not tell how much weight a bolt supports: stress area, load, joint and safety must be considered. Nominal class values do not replace the certificate or diameter-specific minimums.

ISO profile formulas

QuantityFormula
d₂d − 0.649519·P
d₃d − 1.226869·P
D₁d − 1.08253·P
h₃0.61343·P
H√3/2·P
Aₛπ/4·((d₂+d₃)/2)²
TK·d·F; d in m
Nomenclature and interpretation
mm / in
Millimeter / inch. 1 in = exactly 25.4 mm.
M / d / P
M identifies an ISO metric thread; d is the nominal outside bolt diameter and P is the axial distance between adjacent crests, both in mm. M10 ×1.5: diameter 10 mm and pitch 1.5 mm. Fine pitch is an alternative, not the pitch used for every column in this row.
d₂ / d2
Bolt pitch diameter: theoretical cylinder where thread thickness and gap width are equal, in mm.
d₃ / d3
Bolt minor/root diameter at the root of the external thread, in mm. Not nominal diameter or tap drill size.
D₁ / D1
Internal thread (nut) minor diameter, in mm; a basic geometric value, not a selected drill size.
h₃ / H
h₃: basic radial external thread height. H: height of the fundamental 60° profile triangle. Both in mm; H is not overall bolt height.
Aₛ / As (mm²)
Effective tensile stress area of the threaded section, in square millimeters. Written A subscript s, not A2. Converts stress into force; not the nominal-diameter circle area.
Broca / Llave / Allen
Tap drill: indicative hole diameter before tapping. Wrench: across-flats size of the head/nut. Hex key: across-flats size of the internal hex socket. Check pitch, head style and manufacturer.
T / N·m
T is tightening torque: turning effect, in newton-meters. N·m is neither force in N nor stress in MPa.
F / kN
F is estimated axial tightening preload (bolt tension), not maximum allowable external load. Shown in kilonewtons; 1 kN = 1000 N.
K = 0,20
Dimensionless nut/torque factor combining thread friction, bearing-surface friction and geometry. Assumed 0.20 here; NOT a universal constant. In temperature, K means kelvin: a different context.
T = K·d·F
Use d in meters and F in newtons to obtain T in N·m. Preload used is F = 0.7·Rp0.2·Aₛ: MPa and mm² give N. The 0.7 is the reference fraction of yield strength.

Reading the values: · means multiplication, / division, √ square root and ² squaring. Pitch and diameters use mm for geometry; only T =K·d·F uses d in m and F in N. These are basic dimensions, not all manufacturing limits.

Workshop reference values; confirm against the applicable standard or manufacturer’s catalog before purchasing, designing or tightening critical joints.