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Capacity Calculator

Vacuum tube lifter capacity calculator: tube size, porosity and altitude

This vacuum lifter capacity calculator estimates what a lifting tube of a given diameter can lift at a given working vacuum, derates the figure for a porous load and for altitude, and checks the pad area the tube needs. It is a plausibility check for a quotation, not a rating: it does not deduct the weight of the pad and tube, it ignores leaks, and the manufacturer's rating and the sample test decide. Our own vacuum tube lifter range is rated for airtight loads per the catalogue; porous loads are tested with samples.

Inputs: tube diameter, working vacuum, porosity, altitude

Four inputs; the defaults are a Ø160 mm tube at 40 kPa, a semi-porous load and sea level, taken from the tables below. Add your load weight if you want the sea-level rating the load needs.

Limits of the estimate

The theoretical mass does not deduct the weight of the pad, the tube and the handle, and it ignores leaks, so a rating is always below it; how far below is the maker's call, and ratings for the same tube diameter differ by up to about 40% between makers. The porosity shares are planning estimates, the altitude factor assumes a standard atmosphere, and neither replaces the manufacturer's rating or the sample test. Loads above 200 kg are outside this site's range.

Get a selection proposal

send the load, the heights and the site altitude; porous loads go to a sample test before the quotation.

Cowest Machinery designs and manufactures vacuum tube lifters at its factory in Qingyuan, Guangdong, China.

Result

Up to five lines come back: the theoretical lifting mass of the tube at that vacuum, before any deduction; the altitude factor; the theoretical mass after derating for the porosity class and the altitude, still before any deduction, so a lifter's rating sits below it; if you entered a load, the sea-level airtight rating a lifter needs to lift it there; and the minimum pad area. A rating that sits near the 30–40 kPa result is plausible; a rating that needs 50 kPa of continuous working vacuum before deducting the pad weight is optimistic and deserves a test report.

Next step: take the figures to the selection guide to size the model, or send the load and the site and we size it; porous loads go to a sample test first.

Get a selection proposal

the load, the heights and the site altitude are enough to start.

Formula

Lifting force equals the pressure difference across the tube wall times the tube's cross-section; divided by gravity it gives the theoretical lifting mass:

F (N) = Δp (Pa) × A (m²); m (kg) = F / g, with g = 9.80665 m/s², about 9.81; A = π × D² / 4, with D the tube's inside diameter in metres

Δp is the working vacuum inside the tube relative to the air outside. The UK HSE describes an average pressure difference of about 55 kPa for vacuum tube lifters; the ratings published by makers sit nearer the 30–40 kPa columns of the table below, because a rating leaves room for the pad and tube weight, leaks and a safety margin.

Theoretical lifting mass by tube diameter (kg, before deducting pad and tube weight)
Tube diameter30 kPa40 kPa50 kPa55 kPaTypical brand rating
100 mm24324044—
120 mm3546586335–50 kg
140 mm4763788645–60 kg
160 mm628210311360–70 kg
180 mm78104130143about 85 kg
200 mm96128160176110–120 kg
230 mm127169212233about 140 kg
250 mm150200250275about 200 kg
300 mm216288360396about 300 kg

Condition: our catalogue ratings are for airtight loads and are confirmed with a sample test for porous loads; the calculator checks a rating for plausibility, it does not re-rate a model.

Derating for porosity

A porous load leaks air through its surface; the generator has to make up the leak while holding the pressure difference, so the usable capacity is a share of the airtight rating. The calculator applies the same shares to the theoretical mass, which is still before any deduction; they are planning estimates, and a sample test replaces them.

Porosity classes and planning shares (industry estimates)
ClassTypical loadsShare of the airtight rating
AirtightPE film bags, plastic and steel drums, laminated boards100%
Semi-porousPlain cartons, paper sacks with a PE liner, laminated woven sacks75–90%
PorousUnlined multi-wall paper sacks, chipboard50–80%
Highly porousUncoated woven sacks, jute, cloth bagsOften not on vacuum alone; the calculator gives no figure

Rule: porous loads are sample-tested before a quotation, and the quotation states which load class the rating applies to. For porous loads the vacuum source matters more than the tube size: flow replaces the leaking air, a larger tube does not. Next step: how pads and blower flow are chosen for porous paper and woven sacks.

Altitude correction

Air pressure falls with altitude, the pressure difference a generator can produce falls with it, and so does capacity. The calculator uses the standard atmosphere:

p(h) = 101.325 × (1 − 2.25577 × 10⁻⁵ × h)^5.25588 kPa, with h the altitude in metres; capacity factor ≈ p(h) / 101.325

Altitude and capacity factor (standard atmosphere)
AltitudeAir pressureCapacity factor
0 m101.3 kPa100%
500 m95.5 kPa94%
1,000 m89.9 kPa89%
1,500 m84.6 kPa83%
2,000 m79.5 kPa78%
2,500 m74.7 kPa74%
3,000 m70.1 kPa69%
4,000 m61.6 kPa61%

The formula agrees with the altitude table published by one US maker of vacuum lifters: about 83% at 1,524 m and about 69% at 3,048 m. Correct for altitude above about 1,000 m; above 1,500 m, ask for the quotation to state the derated capacity. Worked example (example figures): a plant at about 2,240 m lifting a 40 kg airtight load, such as a PE film bag, needs a sea-level rating of at least 40 / 0.76, about 53 kg, before any margin.

Pad area check

The pad must hold the load as firmly as the tube lifts it: holding force is the pressure difference times the pad's effective sealing area, and the practice of several makers is an effective pad area of at least twice the tube's cross-section, some makers asking for 2.5 times, so that holding force exceeds lifting force with a margin. The calculator reports that minimum area and the square or round pad it corresponds to.

Minimum pad effective area ≈ 2 × π × D² / 4. Example: a Ø160 mm tube has a cross-section of about 0.020 m², so the pad needs about 0.040 m² of effective area, about a 200 × 200 mm square or a Ø226 mm circle

If the load's flat face is smaller than that area, the pad cannot seal on it: a smaller tube or a different gripping method is needed. Next step: pad types by load are in step 5 of the selection guide.