Systematic calculation of high-duty bolted joints

Single-bolt analysis to VDI 2230 Part 1

Size the preload, pick the tightening torque and verify assembly stress, working stress, fatigue and surface pressure — with every R-step of the calculation laid open below the results.

Concentric clamping & loading Metric ISO thread, fully threaded Units: mm · N · MPa

Joint definition

MPa
mm
mm
mm²
mm
mm

mm
MPa
mm
mm
mm

N
N
cycles
N
N
N

mm
MPa

Calculation sheet

Bolted joint verification

OK

Assembly torque MA (at FM,zul)

—N·m

min. required — N·m

Permissible preload FM,zul

—kN

ν·Rp0.2 incl. torsion

Required FM,max

—kN

FM,min — kN · αA —

Verification checks

Utilisation = demand / capacity. Green < 80 %, amber < 100 %, red = not verified. Slipping: VDI recommends SG ≥ 1.2 static, ≥ 1.8 alternating.

Joint diagram Verspannungsschaubild

Bolt line 1/δS · parts line 1/δP · drawn at the selected assembly preload with the working load split FSA/FPA.

Derived joint properties

StepQuantityRelation & substitutionResult

Model assumptions

  • Concentrically clamped and loaded single-bolt joint; fully threaded bolt; no eccentricity, prying or bolt bending.
  • Resiliences per VDI 2230-1:2015: bolt segments eq. (19)–(31), parts via deformation cone/sleeve eq. (39)–(41) with D′A ≈ DA.
  • Embedding from Table 5 (shear row when FQ > 0); αA per Table A8; pG per Table A9; yield/angle tightening applies eq. (R10/3).
  • Fatigue per §5.5: endurance eq. (170)/(171), finite life eq. (R9/6) for 10⁴ ≤ NZ < 2·10⁶; no damage accumulation.
VDI 2230-1 (simplified)
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Engineering aid only. Results must be verified against the current edition of VDI 2230 by a qualified engineer before use in design, manufacturing or safety-relevant decisions.