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Example calculation

Calculation of tightening torques and bolt forces

according to Roloff/Matek "Maschinenelemente"

Input data

  Nominal diameter of the screw thread dN   mm
  Thread pitch Ph   mm
  Pitch diameter of the screw thread d2   mm
  Root diameter of the screw thread d3   mm
  Neck diameter for the necked-down bolts dT   mm
  Outer diameter of the bolt head or nut dw   mm
  Through-hole diameter dh   mm
  Half angle of the thread β/2   °
  Minimum yield strength of the bolt material Rp0,2   N/mm²
  Minimum gasket/flange force per bolt FVM min   kN
  Maximum gasket/flange force per bolt FVM max   kN
 

Friction coefficient combinations:

  Combination number  
  Friction coefficient for the screw thread μG  
  Friction coefficient for the joint face μK  
  Comment  
 
 
 

Calculation

  Combination number  
  Allowable bolt tensile stress σM all   N/mm²
  Tensile stress for minimum gasket force σM min   N/mm²
  Tensile stress for maximum gasket force σM max   N/mm²
  Allowable stress intensity for bolt σV all   N/mm²
  Stress intensity for minimum gasket force σV min   N/mm²
  Stress intensity for maximum gasket force σV max   N/mm²
  Stress efficiency for minimum gasket force   %
  Stress efficiency for maximum gasket force   %
 

Results

  Combination number  
  Allowable bolt tensile force FVM all   kN
  Allowable bolt tightening torque MA all   N·m
  Tightening torque for minimum gasket force MA min   N·m
  Tightening torque for maximum gasket force MA max   N·m

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