Bolted joint fatigue (dynamic load) strength — fixed M12 geometry

Load-fatigue limit of a bolted joint (M12 thread — fixed, matching the original locked demo) from property class, joint stiffness factor and minimum clamping force.

✓ validated against legacyoriginal: /calculators/c3_3.htm
Bolted joint fatigue (dynamic load) strength — fixed M12 geometry — original diagram from /calculators/c3_3.htm
Maximum load variation, P = Pᵦ+Pₘ33.87 kN
Minimum preload, F_i,min = Fₘ+Pₘ25.41 kN
Maximum preload, F_i,max = F₀.₂−Pᵦ45.46 kN
Maximum load variation, bolt, Pᵦ = 2Aₜσₑ8.47 kN
Load variation, clamped material, Pₘ = Pᵦ(1−Cₘ)/Cₘ25.41 kN
Fatigue strength, σₑ50.25 MPa
Load at yield strength, F₀.₂53.93 kN
Tensile stress area, Aₜ = π/4·d₀²84.26 mm²
Ultimate tensile strength, Rₘ800 MPa
Yield strength, Rₚ₀.₂640 MPa
Pitch, P1.75 mm
Flank (pitch) diameter, d₂10.863 mm
Core (root) diameter, d₃9.853 mm

Fixed to the M12 thread geometry (12 mm: P=1.75mm, d2=10.863mm, d3=9.853mm) exactly as the legacy "please login" demo lock froze it. Unlike its siblings (c3_4, e3_6c) this legacy source has no if/else-if lookup table for other thread sizes at all — the M12 numbers are the only geometry the formula ever computes with, assigned unconditionally after the login gate. Generalizing to other thread sizes here would mean importing a table that is not present in this specific legacy source, so this port is honestly presented as an M12-only reference calculator; property class, joint stiffness factor and minimum clamping force remain fully free inputs, matching what was already variable under the lock.

Method & references

  • Load-fatigue limit of a preloaded bolted joint, M12 thread (fixed geometry from the original locked demo — see notes).

The computation is a literal port of the original client-side JavaScript from /calculators/c3_3.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Bolted joint fatigue (dynamic load) strength — fixed M12 geometry — Engineering ABC