🧮 在线计算器：VDI 2230 Bolted Joint Calculation — The full 14-step calculation chain (R0–R13), with six strength checks.
What exactly does VDI 2230 cover? — Scope and standard positioning
1. One-line positioning
The subtitle of VDI 2230 Blatt 1 sets a clear boundary for its core territory:
Zylindrische Einschraubenverbindungen (cylindrical single-bolt joints)
Two key words: single-bolt (Einschraubenverbindung) and cylindrical thread (zylindrisch) — the load sharing of a multi-bolt group is not within the scope of Blatt 1; it is handled separately by VDI 2230 Blatt 2:2014.
2. Applicability conditions
The standard sets out its applicability conditions in §1 (Anwendungsbereich / Scope) (VDI 2230:2015, §1, p.4-5):
✅ Scenarios the standard covers
| Condition | Source |
|---|---|
| Steel bolts with 60° fastening threads | §1, p.4 |
| Property class per DIN EN ISO 898-1 | §1, p.4 |
| Metric ISO threads M4–M39 (range of the standard’s tables) | Table A1–A4 |
| Through-bolt joint DSV (Durchsteckschraubverbindung) | §1, p.4 |
| Tapped-thread joint ESV (Einschraubverbindung) | §1, p.4 |
| Loads mainly from static and dynamic axial force | §4.2 |
❌ Scenarios the standard does not cover
The standard itself clearly states its limits:
“The generally difficult and large-scale analysis of forces and deformations which is involved in the determination of the initial quantities cannot be addressed by this standard because of the large variety of designs of components and BJs: this task must be solved by means of elasto-mechanics.”
(VDI 2230:2015, §4.2, p.29)
| Scenario | Reason | Alternative |
|---|---|---|
| Multi-bolt group load sharing | Blatt 1 analyses only a single bolt | VDI 2230 Blatt 2 (2014) |
| Flange joints with a sealing gasket | Gasket nonlinearity is beyond the spring model | DIN EN 1591 |
| Exact location of the external load point | The standard assumes $F_A$, $F_Q$ are known | FEM / elasto-mechanical analysis |
3. The interface limiting dimension G — check before you use the standard
The cone-of-resilience model in VDI 2230 has a geometric premise, which the standard gives explicitly in step R0 (VDI 2230:2015, §4.2, Eq. R0/1, R0/2):
Through-bolt joint (DSV / TBJ):
$$ G = h_{\min} + d_W \tag{R0/1} $$Tapped-thread joint (ESV / TTJ):
$$ G' \approx (1.5 \dots 2) \cdot d_W \tag{R0/2} $$The standard’s own warning:
“Exceeding the limiting dimensions entails a relatively large calculation error.”
(VDI 2230:2015, §4.2, p.29)
Here $h_{\min}$ is the minimum clamping height and $d_W$ is the outer diameter of the bearing surface of the bolt head or nut. When the interface dimension $c_T$ exceeds the limit $G$, the assumptions of the cone-resilience formula are no longer reliable and the calculation error grows markedly. Before applying VDI 2230, the engineer must check this condition first.
4. The family of standards VDI 2230 depends on
The input data VDI 2230 needs comes from a group of base standards. The main text and appendices directly cite the following (VDI 2230:2015, §2 Symbols / Normative References):
| Standard | What it provides | Use in VDI 2230 |
|---|---|---|
| DIN 13-1 | Thread geometry $d, d_2, d_3, P, A_S$ | R0 diameter selection, cross-section area in the R3 resilience calculation |
| DIN EN ISO 898-1 | Property class → $R_{p0.2\min}, R_m$ | R7 allowable preload, R8/R9 safety factors |
| DIN EN ISO 4014 / 4017 | Bolt-head geometry $d_w, s, k$ | $A_p$ bearing area, cone-angle calculation |
| DIN EN 20273 | Through-hole diameter $d_h$ | Cone-resilience $\delta_P$ calculation (Eq. 40-43) |
| DIN EN ISO 7089 | Washer dimensions | R10 bearing-pressure check |
5. How force is transmitted — a premise that is easy to overlook
The fundamental assumption of the VDI 2230 spring model is: the external working load is transmitted to the bolt through the clamped parts, not applied directly to the bolt shank. The standard explains this in §4.2:
“The calculation of a BJ is based on the external working load $F_B$ acting on the joint. This working load and the elastic deformations of the components caused by it produces an axial working load $F_A$, a transverse load $F_Q$, a bending moment $M_b$ and in some cases a torque $M_T$ at the individual bolting point.”
(VDI 2230:2015, §4.2, p.28)
This means VDI 2230 describes a physical model in which the force acts on the bolt indirectly, after the elastic deformation of the clamped parts. In this model the external force is shared according to the resilience ratio of the bolt and the clamped parts (the force ratio $\Phi$, see R3) — which is exactly where the core value of VDI 2230 lies.
If the external force is applied directly along the bolt axis (as with an eye bolt carrying load directly), the force ratio $\Phi$ reduces to 1.0, and the force-sharing calculation of VDI 2230 loses its meaning.
6. The accuracy and verification the standard recommends
The standard has a clear view of its own accuracy (VDI 2230:2015, §1, p.5):
- The cone-angle formula (Eq. 42/43) has an accuracy of about ±5%
- The load introduction factor n: needs engineering judgement; for critical joints, verification by FEM is advised
“This standard does not in principle do away with the need for experimental and/or numerical (FEM) tests for verifying the calculation results.”
(VDI 2230:2015, §1, p.5)
Data basis and accuracy statement
All quotations in this article are from VDI 2230 Blatt 1:2015-11. Citation format: (VDI 2230:2015, section, formula/figure/table/page).
Disclaimer: This article is for engineering teaching reference only. The final responsibility for engineering safety verification rests with the user.
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