Metric bolt torque values calculator has been developed 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 Thread
Property Class
Utilization Factor of the Yield
Point Stress during Tightening
Coefficient of Friction in the Thread
and in the Bearing Area of the Head


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


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/Condition Symbol Equation
Tightening Torque MA Equation for Tightening Torque
Permissible Assembly Preload FMzul Equation for Permissible Assembly Preload
Effective diameter for the friction moment DKm Equation for Effective diameter for the friction moment

List of Parameters
Symbol Definition
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

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