Mechanical Engineering

Bolt Tightening Torque

Calculate the required tightening torque for bolted connections based on bolt size, grade and desired preload force.

Units:
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💡Correct bolt torque is critical — under-torquing causes joint loosening and fatigue failure, over-torquing causes thread stripping or bolt breakage. Always use a calibrated torque wrench. Add thread locker (Loctite) for vibrating joints.
M_A = F_sp × d₂/2 × (tan λ + μ_G / cos α_n) + μ_K × F_sp × D_Km/2
M_A M = K × d × F_sp
Input
Bolt size iMetric bolt thread size.
Bolt grade iISO bolt property class. 8.8 is the most common industrial grade. 10.9 and 12.9 for high-strength applications.
Utilisation factor ν iPercentage of proof strength used as preload. Recommended: 70–90% for non-permanent joints, 90% for permanent.
%
Thread friction coefficient μ iThread and under-head friction. Dry steel: 0.12–0.18. Lightly oiled: 0.10–0.14. Zinc plated: 0.09–0.14.
Result
Preload force F_sp [kN]
Tightening torque M_A [N·m]
Min. torque (−10%) [N·m]
Max. torque (+10%) [N·m]
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