Bolt Tightening Torque

A bolted joint only works if the bolt reaches the right preload. Under-tightened joints loosen; over-tightened bolts yield. This tool calculates the tightening torque for ISO metric coarse-thread bolts with the simplified VDI 2230 relation and checks the equivalent stress during tightening.

FasteningVDI 2230ISO 898-1
↑ ↓ steps the value
Tightening torque M_A74.8N·m
Preload F_M
37.8 kN
Thread torque M_G
39.1 N·m
Under-head torque M_K
35.7 N·m
Stress area A_s
84.3 mm²
Yield load F_0.2 = Rp0.2 · A_s
54 kN
Equivalent stress σ_red
545 MPa
  • σ_red / Rp0.2 = 85 % — VDI 2230 assembly limit 90 %
METHOD

How it is calculated

F_M = ν · Rp0.2 · A_s
M_A = F_M · (0.16·P + 0.58·μG·d₂ + μK·D_Km / 2)
d₂ = d − 0.6495·P      D_Km = (s + d_h) / 2
σ_red = √(σ_M² + 3·τ²) ≤ 0.9 · Rp0.2
ASSUMPTIONS & NOTES
  • Friction coefficients range from 0.08 to 0.20 depending on finish and lubrication; 0.12–0.14 is typical for dry, uncoated steel.
  • The mean under-head diameter uses ISO 4017 across-flats and ISO 273 medium clearance holes.
  • Torque-wrench scatter (±10–25 %) and embedding losses are not included; use a full VDI 2230 analysis for critical joints.

Results are for preliminary design and checking; base the final design on the governing standard and safety factors.