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Calculate the minimum test pressure

Annex I point 7.4 sets the floor for the hydrostatic test of pressure vessels: the higher of two values. The calculator below works it out per equipment type — free, with a reasoning line per step, so you can substantiate the number in your file.

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At a glance

The calculator

Only PS is required. Without material data you get the floor of 1.43 × PS. Same rule engine as the Dutch site, 47 test cases against OJ L 189, Annex I points 7.4 and 7.1.2.

Vertical distance between the highest liquid level during the test and the lowest point of the system. Leave empty if the column is negligible.
Empty means water at ambient temperature: 1000 kg/m³.

Material data — optional, but needed for the temperature term of point 7.4

Yield strength at the temperature at which you test, usually ambient.
Yield strength at TS, from the material standard or the certificate.
—MINIMUM TEST PRESSURE

Indicative floor; it does not replace a strength calculation or a notified body's decision. Values are rounded up, because point 7.4 gives a minimum. Your input stays in your browser and is not stored.

The two terms of point 7.4

Annex I point 7.4 requires, for pressure vessels, that the hydrostatic test pressure of point 3.2.2 is no less than the higher of two values: the pressure corresponding to the maximum loading the equipment may be subjected to in service, given its maximum allowable pressure and temperature, multiplied by 1.25 — and the maximum allowable pressure multiplied by 1.43.

Note what the first indent does and does not say. The directive names no stress ratio; it says only “given its maximum allowable pressure and temperature”. Filling that in as 1.25 × PS × ftest/fdesign comes from the standard — for unfired pressure vessels EN 13445-5 §10.2.3.3.1 — not from point 7.4. The module therefore labels each step with its source: law for 1.43 × PS, standard for the temperature term. Point 7.1.2 belongs to the design: it caps the allowable general membrane stress per material type and is no part of the formula in point 7.4; the module uses those caps to test the stresses you enter.

When does which term govern?

The crossover is exact: once the stress ratio ftest/fdesign exceeds 1.144 (that is 1.43 divided by 1.25), the temperature term wins. Below it, 1.43 × PS always governs. Practically: a vessel designed at ambient temperature nearly always tests at 1.43 × PS; a hot vessel tips over.

Where it says so: Annex I points 3.2.2 (final assessment, proof test) and 7.4 (hydrostatic test pressure), with the stress caps per material in point 7.1.2, Directive 2014/68/EU.

Does this also cover piping, boilers and accessories?

Not directly, and the answer differs per type. Point 7.4 opens with "for pressure vessels"; point 3.2.2 extends the value to all pressure equipment "where appropriate". What the harmonised standards then make of it:

The failure mode is always the same: taking the number without walking through the accompanying normative conditions, and a test protocol ends up too low or impermissibly high.

The standard-specific conditions above are referenced by clause in the full report; standard texts themselves are copyrighted and are not reproduced here.

Running the test: where it goes wrong in practice

Calculating the pressure is the easy part. This is what a notified body or a Dutch inspection body actually looks at during the test.

Choosing the gauge and the 10-to-2 rule

10 o’clock2 o’clock28 %72 %0full scalePtPt = test pressureAllowed under the 10-to-2 rule28 % to 72 % of the scale —full scale 1.4 to 3.6 x PtRecommended range rulefull scale 1.5 to 2 x Pt — needlebetween 12 and 1:30The range rule is the stricter of thetwo: follow it and you automaticallysatisfy 10-to-2. Not the reverse.
270-degree scale, zero at 7:30 — the standard layout of a Bourdon gauge.

Choose a range of one and a half to two times the test pressure. On the shop floor you check that with the 10-to-2 rule: at the test pressure the needle of an analogue gauge should sit between the 10 o’clock and 2 o’clock positions, that is between 28 % and 72 % of full scale. Lower down the reading error is too large; higher up there is no margin against overshoot.

The range rule is the stricter of the two: a full scale at one and a half to two times the pressure puts the needle between 1:30 and 12 o’clock, which satisfies 10-to-2 automatically. The reverse does not hold — 10-to-2 permits full scales up to about 3.6 times the pressure. The gauge serial number belongs in the report.

Four points on which test reports founder

The full PED report covers the whole execution — filling and venting, staged pressurisation, safety distance and overpressure protection, the standpipe method at a design pressure of 0 bar, and the split between the notified body and the Dutch inspection body at the hold points — plus a fill-in test protocol as an annex.

What else counts at the test

How reliable is this calculator?

The material limits and the factors 1.25 and 1.43 come straight from the text of the directive (OJ L 189 of 27-6-2014, pp. 213–214), not from a secondary source; the stress ratio and the standard-specific departures come from the standards named above and are labelled as such, and are covered by a suite of 47 test cases: the six calculation cases of point 7.1.2 (five material types, austenitic steel in two variants), the 1.144 crossover, and a grid check over more than 4,000 combinations. Pressures are rounded up, because point 7.4 is a minimum. The outcome is an indicative floor and replaces neither a strength calculation nor a decision by a notified body.

In the full report: this worked out for your equipment — the test pressure with its basis labelled (law, standard or reference value), the drawing of the test set-up, and the fill-in test protocol of Annex B. See the report →

Frequently asked questions

What is the minimum test pressure under the PED?

For pressure vessels: the higher of 1.25 times the pressure corresponding to the maximum in-service loading, given PS and TS, and 1.43 times the maximum allowable pressure PS (Annex I point 7.4). Point 3.2.2 extends that value to other equipment where appropriate.

When does the temperature term govern instead of 1.43 × PS?

Once the ratio of the allowable stress at test temperature to that at design temperature exceeds 1.144, which is 1.43 divided by 1.25. Below that ratio, 1.43 × PS always gives the higher value.

Does the liquid column count in the test pressure?

Yes, at the lowest point of a standing or tall item the static column adds to the pressure. Point 7.4 does not regulate it; the product standard and your procedure do — and ignoring it is a common finding at witnessed tests.

May I test pneumatically instead of hydrostatically?

Point 3.2.2 permits another recognised test where the hydrostatic test is harmful or impracticable, provided additional measures such as non-destructive testing are applied beforehand. It is the exception, not the default, and it needs agreement with the body involved.

Is a higher test pressure always safer?

No. The test condition is a load case of its own: the structure must be shown to carry the test pressure. Raising the test pressure without checking that case can damage the equipment you are trying to prove sound.

Want the number for your equipment?

The full report gives the test pressure for your equipment with its legal or normative basis, the test setup and a fill-in test protocol.

Run the free check or see the full report

Further reading