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
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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