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.