# METRIC BOLT TORQUE CALCULATOR AND CHART

Metric bolt torque calculator and chart to show metric bolt torque values and assembly preloads permitted for the bolts. Bolt torque values are calculated by using calculation tables and tightening torque - preload formulas given in the VDI 2230 "Systematic calculation of high duty bolted joints - Joints with one cylindrical bolt" standard. Assembly preload and tightening torque values, which are given in the results chart, are valid for shank bolts with metric standard thread according to ISO 262; head dimensions of hexagonal bolts according to DIN EN ISO 4014 to 4018, hexalobular external driving head bolts according to DIN 34800 or cylindrical bolts according to DIN EN ISO 4762 and hole ”medium“ according to ISO 273 (DIN EN 20273).

Based on theory given in VDI standard, it's aimed to utilize the bolt strength to the greatest extent. Normally 90 % of minimum yield point (Rp0.2min) is allowed to be utilized. The default value for utilization factor is therefore set as 0.9 but can be changed.

The formulas used for metric bolt torque calculations are given in the List of Equations section. For more information about systematic procedure for calculating bolted joints in the form of calculated steps, visit VDI 2230.

### Metric Bolt Torque Calculator and Chart:

 INPUT PARAMETERS Metric Thread M4 x 0.7 M5 x 0.8 M6 x 1 M7 x 1 M8 x 1 M8 x 1.25 M10 x 1 M10 x 1.25 M10 x 1.5 M12 x 1.25 M12 x 1.5 M12 x 1.75 M14 x 1.5 M14 x 2 M16 x 1.5 M16 x 2 M18 x 1.5 M18 x 2 M18 x 2.5 M20 x 1.5 M20 x 2.5 M22 x 1.5 M22 x 2.5 M24 x 1.5 M24 x 2 M24 x 3 M27 x 2 M27 x 3 M30 x 2 M30 x 3.5 M33 x 2 M33 x 3.5 M36 x 2 M36 x 4 M39 x 2 M39 x 4 Property Class 8.8 10.9 12.9 Utilization Factor of the Yield Point Stress during Tightening Coefficient of Friction in the Thread and in the Bearing Area of the Head 0.08 0.10 0.12 0.14 0.16 0.20 0.24

 RESULTS Parameter Value Designation --- --- Property Class --- Screw Thread Series --- Utilization Factor [v] --- Assembly Preload [FM,Tab] --- kN Tightening Torque [MA] --- N.m

### Supplements:

 Link Usage Metric Thread Size and Tolerance Calculator Calculates basic major, minor and pitch diameters of the metric external (bolt) thread and internal (nut) thread according to ISO 724:1993 standard. In addition to basic size calculations, tolerance calculations of different tolerance classes can be done according to ISO 965-1:1998 and ISO 965-2:1998 standards. Friction Coefficient Guide Values in Bolted Joints The coefficients of friction values in the thread μG and in the bearing surfaces of the head of the bolt or the nut μK.

### List of Equations:

 Parameter Equation Tightening Torque [MA] $${ M }_{ A }={ F }_{ Mzul }\cdot [0.16\cdot P+0.58\cdot { d }_{ 2 }\cdot { \mu }_{ Gmin }+\frac { { D }_{ Km } }{ 2 } \cdot { \mu }_{ Kmin }]$$ Permissible Assembly Preload [FMzul] $${ F }_{ Mzul }={ A }_{ 0 }\cdot \frac { \upsilon \cdot { R }_{ p0.2min } }{ \sqrt { 1+3{ \left[ \frac { 3 }{ 2 } \cdot \frac { { d }_{ 2 } }{ { d }_{ 0 } } \cdot (\frac { P }{ \pi \cdot { d }_{ 2 } } +1.155\cdot { \mu }_{ Gmin }) \right] }^{ 2 } } }$$ Effective diameter for the friction moment [DKm] $${ D }_{ Km }=0.5\cdot \left( \frac { { d }_{ h }+s }{ 2 } \right)$$

 List of Parameters Symbol Definition P Pitch d2 Pitch diameter of the bolt thread d0 Diameter at the relevant smallest cross section dh hole diameter of clamped parts s Width across flats μGmin Coefficient of friction in the thread μKmin Coefficient of friction in the head bearing area Rp0.2 0,2% proof stress of the bolt according to DIN EN ISO 898-1 DKm Effective diameter for the friction moment at the bolt head or nut bearing area A0 Appropriate minimum cross-sectional area of the bolt

### Reference:

• VDI 2230– Systematic calculation of high duty bolted joints - Joints with one cylindrical bolt