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Bolt Design

Bolt Preload & Fatigue Design Calculator

Grade 4.6–12.9, M6–M48. Calculate tightening torque, preload force, joint load-sharing ratio, and Goodman fatigue safety factor in real time.

Parameters
Bolt Grade
4.6: σ_y=240 MPa, σ_u=400 MPa, σ_e=80 MPa
Nominal Diameter d M12
M6 / M8 / M10 / M12 / M16 / M20 / M24 / M30 / M36 / M48
Nut Factor K 0.20
Lubricated: 0.12–0.15 / Dry: 0.18–0.22
Target Preload F_pre 70 %
% of proof load (typically 70%)
Grip Length L_g 30 mm
External Load F_ext 5.0 kN
Torque T [N·m]
Preload F_pre [kN]
Bolt Stress σ_b [MPa]
Load Ratio Φ
Fatigue SF n_f
Overload SF n_o

Equations

Tightening torque: $T = K \cdot d \cdot F_{pre}$

Bolt stiffness: $k_b = A_t E_b / L_g$,   Joint stiffness: Rotscher cone model

Load-sharing ratio: $\Phi = k_b / (k_b + k_j)$

Alternating stress: $\sigma_a = \Phi F_{ext}/(2A_t)$,   Goodman: $\sigma_a/\sigma_e + \sigma_m/\sigma_u = 1/n_f$

CAE Note: Use the preload value as the *PRE-TENSION SECTION value in Abaqus, or as the Bolt Pretension load in Ansys Mechanical. For fatigue post-processing, combine with FE-SAFE or nCode DesignLife.