Technical Tables
Workshop reference: threads, transmission, bearings, gears, tolerances and fits, inches and millimeters, and unit conversion.
ISO metric threads
| Thread | P (mm) | Fine pitch | Tap drill (mm) | d₃ (mm) | Aₛ (mm²) | Hex wrench | Hex key |
|---|---|---|---|---|---|---|---|
| M1.6 | 0.35 | — | 1.25 | 1.171 | 1.3 | 3.2 | 1.5 |
| M2 | 0.4 | — | 1.6 | 1.509 | 2.1 | 4 | 1.5 |
| M2.5 | 0.45 | — | 2.05 | 1.948 | 3.4 | 5 | 2 |
| M3 | 0.5 | — | 2.5 | 2.387 | 5 | 5.5 | 2.5 |
| M3.5 | 0.6 | — | 2.9 | 2.764 | 6.8 | 6 | 3 |
| M4 | 0.7 | — | 3.3 | 3.141 | 8.8 | 7 | 3 |
| M5 | 0.8 | — | 4.2 | 4.019 | 14.2 | 8 | 4 |
| M6 | 1 | — | 5 | 4.773 | 20.1 | 10 | 5 |
| M8 | 1.25 | 1 | 6.8 | 6.466 | 36.6 | 13 | 6 |
| M10 | 1.5 | 1.25 | 8.5 | 8.16 | 58 | 16 | 8 |
| M12 | 1.75 | 1.25 | 10.2 | 9.853 | 84.3 | 18 | 10 |
| M14 | 2 | 1.5 | 12 | 11.546 | 115.4 | 21 | 12 |
| M16 | 2 | 1.5 | 14 | 13.546 | 156.7 | 24 | 14 |
| M18 | 2.5 | 1.5 | 15.5 | 14.933 | 192.5 | 27 | 14 |
| M20 | 2.5 | 1.5 | 17.5 | 16.933 | 244.8 | 30 | 17 |
| M22 | 2.5 | 1.5 | 19.5 | 18.933 | 303.4 | 34 | 17 |
| M24 | 3 | 2 | 21 | 20.319 | 352.5 | 36 | 19 |
| M27 | 3 | 2 | 24 | 23.319 | 459.4 | 41 | 19 |
| M30 | 3.5 | 2 | 26.5 | 25.706 | 560.6 | 46 | 22 |
| M33 | 3.5 | 2 | 29.5 | 28.706 | 693.6 | 50 | 24 |
| M36 | 4 | 3 | 32 | 31.093 | 816.7 | 55 | 27 |
| M39 | 4 | 3 | 35 | 34.093 | 975.8 | 60 | 30 |
| M42 | 4.5 | 3 | 37.5 | 36.479 | 1120.9 | 65 | 32 |
| M45 | 4.5 | 3 | 40.5 | 39.479 | 1306 | 70 | 36 |
| M48 | 5 | 3 | 43 | 41.866 | 1473.1 | 75 | 36 |
| M52 | 5 | 4 | 47 | 45.866 | 1757.8 | 80 | 36 |
| M56 | 5.5 | 4 | 50.5 | 49.252 | 2030 | 85 | 41 |
| M64 | 6 | 4 | 58 | 56.639 | 2676 | 95 | 46 |
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.
| Thread | 8.8 · N·m (kN) | 10.9 · N·m (kN) | 12.9 · N·m (kN) |
|---|---|---|---|
| M5 | 6.4 (6.4) | 8.9 (8.9) | 10.7 (10.7) |
| M6 | 10.8 (9) | 15.2 (12.7) | 18.3 (15.2) |
| M8 | 26.2 (16.4) | 36.9 (23.1) | 44.3 (27.7) |
| M10 | 52 (26) | 73.1 (36.5) | 87.7 (43.8) |
| M12 | 90.6 (37.8) | 127.4 (53.1) | 152.9 (63.7) |
| M14 | 144.8 (51.7) | 203.6 (72.7) | 244.4 (87.3) |
| M16 | 224.6 (70.2) | 315.8 (98.7) | 379 (118.4) |
| M18 | 310.4 (86.2) | 436.5 (121.3) | 523.8 (145.5) |
| M20 | 438.7 (109.7) | 616.9 (154.2) | 740.3 (185.1) |
| M22 | 598.1 (135.9) | 841 (191.1) | 1009.2 (229.4) |
| M24 | 758 (157.9) | 1066 (222.1) | 1279.2 (266.5) |
| M27 | 1111.4 (205.8) | 1562.9 (289.4) | 1875.5 (347.3) |
| M30 | 1506.9 (251.1) | 2119 (353.2) | 2542.8 (423.8) |
| M33 | 2050.7 (310.7) | 2883.8 (436.9) | 3460.6 (524.3) |
| M36 | 2634.4 (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
| Class | Rm (MPa) | Rp0.2 (MPa) | Rm (kgf/mm²) | Rm (ksi) |
|---|---|---|---|---|
| 4.6 | 400 | 240 | 40.79 | 58.02 |
| 5.8 | 500 | 400 | 50.99 | 72.52 |
| 8.8 | 800 | 640 | 81.58 | 116.03 |
| 10.9 | 1000 | 900 | 101.97 | 145.04 |
| 12.9 | 1200 | 1080 | 122.37 | 174.05 |
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
| Quantity | Formula |
|---|---|
| d₂ | d − 0.649519·P |
| d₃ | d − 1.226869·P |
| D₁ | d − 1.08253·P |
| h₃ | 0.61343·P |
| H | √3/2·P |
| Aₛ | π/4·((d₂+d₃)/2)² |
| T | K·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.