Free Engineering Tool

Bolt Preload Force Calculator

Calculate the assembly preload force in a metric bolt from utilization factor, yield strength, and tensile stress area. F = η × Rp × As.

ISO 898-1 VDI 2230 M3 – M64
Quick presets

Results

Assembly Preload Force (F)
Estimated Tightening Torque
Yield Load (100%)
Tensile Stress Area
Utilization

Preload Force

The assembly preload force is the target bolt tension during tightening:

  • η — utilization factor (0.7–0.9 typical)
  • Rp — proof / yield strength (MPa)
  • As — tensile stress area (mm²)

Torque Estimation

Approximate tightening torque (short-form equation):

  • K — nut factor (friction-dependent, typically 0.15–0.20)
  • d — nominal bolt diameter (mm)

Practical Example

Example — M10 × 8.8 @ 70%

Given: M10, class 8.8 (Rp = 640 MPa), As = 58.0 mm², η = 70%

F = 0.70 × 640 × 58.0 = 25,984 N ≈ 26.0 kN

T = 0.20 × 10 × 25,984 / 1000 = 52.0 N·m

⚠️ Note: Torque-based tightening has ±25% uncertainty. For critical joints, use stretch measurement or hydraulic tensioning for greater accuracy.

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