BIZOMAT MAKEOS · Engineering

O-Ring Groove Design (Depth, Width, Bore and Extrusion Gap)

What groove depth and width give my target squeeze and fill for this O-ring, what mating diameter does that set, and is the extrusion gap small enough?

Design of a radial O-ring gland (piston or rod): stretch of the ring on the groove diameter and the reduced cross-section, groove depth for your target squeeze, groove width for your target fill, the mating bore or rod diameter that results, and a check of the depth and width you actually choose for squeeze, fill and stretch against your limits (as the O-ring gland tool), with the extrusion gap against your allowable for the pressure.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
GlandchoiceWhether the groove is on the moving inner part (piston) or in the housing (rod).
O-ring inside diametermmInside diameter of the O-ring.
O-ring cross-sectionmmCross-section diameter of the O-ring.
Groove diameter (bottom for piston, outer for rod)mmFor a piston, the diameter at the bottom of the groove; for a rod, the outer diameter of the groove.
Target squeeze%Squeeze you design to.
Target fill%Share of the groove area the ring fills, designed to.
Groove depth chosen (0 = use the design value)mmGroove depth on the drawing (0 to use the design value).
Groove width chosen (0 = use the design value)mmGroove width on the drawing (0 to use the design value).
Your limits
Smallest squeeze%Smallest squeeze you accept (for the duty; from the seal maker).
Largest squeeze%Largest squeeze you accept.
Largest fill%Largest fill you accept (room for swell and heat).
Largest stretch (piston) or compression (rod)%Largest stretch of the ring on a piston groove, or diametral compression in a rod groove.
Radial extrusion gapmmRadial clearance between the parts at the seal.
Largest gap for the pressure and hardnessmmLargest clearance for the pressure and ring hardness (from the seal maker).

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Gland
Illustration: GlandThe options for Gland, with the one currently selected highlighted.Piston (groove on the inner part, seals on…Rod (groove in the housing, seals on a rod)Example: Piston (groove on the inn…Gland
What it is
Whether the O-ring sits in a groove on the inner part and seals against a bore (piston), or in a groove in the housing and seals against a rod (rod).
Units and format
Choose one of 2 options from the list: Piston (groove on the inner part, seals on a bore); Rod (groove in the housing, seals on a rod).
Example
The form opens with “Piston (groove on the inner part, seals on a bore)” selected as a worked example. Choose the option that matches your case.
Get it right
It changes the meaning of the groove diameter and whether the ring is stretched or compressed when fitted.
What this means: O-ring inside diameter
Illustration: O-ring inside diameterA circle with a line straight through its centre from edge to edge, marking the diameter O-ring inside diameter.IDmeasured acrossthe centreExample: 47.22 mmO-ring inside diameter
What it is
The inside diameter of the O-ring as made, from the size table or the seal maker’s data.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 2000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 47.22 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the nominal inside diameter, not the diameter of the groove it fits.
What this means: O-ring cross-section
Illustration: O-ring cross-sectionA circle with a line straight through its centre from edge to edge, marking the diameter O-ring cross-section.csmeasured acrossthe centreExample: 2.62 mmO-ring cross-section
What it is
The thickness of the O-ring cord, the diameter of its round cross-section.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 20 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2.62 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger cross-section needs a deeper and wider groove.
Get it right
Use the nominal cross-section from the size table, not a measured flattened ring.
What this means: Groove diameter (bottom for piston, outer for r…
Illustration: Groove diameter (bottom for piston, outer for rod)A circle with a line straight through its centre from edge to edge, marking the diameter Groove diameter (bottom for piston, outer for rod).Ømeasured acrossthe centreExample: 48 mmGroove diameter (bottom for piston, outer for…
What it is
For a piston gland, the diameter at the bottom of the groove; for a rod gland, the outer diameter of the groove in the housing.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 2000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 48 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Check the gland choice first: this is the groove bottom for a piston and the groove outside for a rod.
What this means: Target squeeze
Illustration: Target squeezeA bar of 100 parts with the share marked; Target squeeze is that share out of 100. The bar follows the value you type.0 %100 %Example: 20%Target squeeze
What it is
The squeeze you design to: how much the groove depth compresses the ring cross-section, as a share of the cross-section.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 5% to 40%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 20% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
More squeeze gives a shallower design groove.
Get it right
Type the percentage itself. Choose it within the seal maker’s range for your duty.
What this means: Target fill
Illustration: Target fillA bar of 100 parts with the share marked; Target fill is that share out of 100. The bar follows the value you type.0 %100 %Example: 75%Target fill
What it is
The share of the groove cross-section area the ring is designed to fill, leaving room for swelling and heat.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 40% to 95%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 75% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A higher fill target gives a narrower design groove.
Get it right
Type the percentage itself.
What this means: Groove depth chosen (0 = use the design value)
Illustration: Groove depth chosen (0 = use the design value)A surface with a step cut into it and a dimension from the original surface down to the bottom of the step, marking Groove depth chosen (0 = use the design value).doriginal surfaceExample: 2.1 mmGroove depth chosen (0 = use the design value)
What it is
The groove depth on your drawing, from the groove bottom to the sealing surface it faces.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 20 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2.1 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A deeper groove gives less squeeze and less fill.
Get it right
Use 0 to check the design depth the tool works out; enter your drawing value to check it instead.
What this means: Groove width chosen (0 = use the design value)
Illustration: Groove width chosen (0 = use the design value)A bar with a dimension line and arrows from one end to the other, marking the length Groove width chosen (0 = use the design value).LExample: 3.6 mmGroove width chosen (0 = use the design value)
What it is
The groove width on your drawing, measured along the axis between the groove side walls.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 40 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3.6 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A wider groove gives less fill.
Get it right
Use 0 to check the design width; enter your drawing value to check it instead.

Your limits

What this means: Smallest squeeze
Illustration: Smallest squeezeA bar of 100 parts with the share marked; Smallest squeeze is that share out of 100. The bar follows the value you type.0 %100 %Example: 15%Smallest squeeze
What it is
The smallest squeeze you accept for a reliable seal, from the seal maker for the duty.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 0% to 40%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 15% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Type the percentage itself; it must be below the largest squeeze.
What this means: Largest squeeze
Illustration: Largest squeezeA bar of 100 parts with the share marked; Largest squeeze is that share out of 100. The bar follows the value you type.0 %100 %Example: 30%Largest squeeze
What it is
The largest squeeze you accept before the ring is overcompressed, from the seal maker for the duty.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 1% to 50%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 30% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Dynamic seals usually allow less squeeze than static seals.
What this means: Largest fill
Illustration: Largest fillA bar of 100 parts with the share marked; Largest fill is that share out of 100. The bar follows the value you type.0 %100 %Example: 85%Largest fill
What it is
The largest share of the groove area the ring may fill, leaving room for swell and thermal expansion.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 40% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 85% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Allow for the swell of the ring material in your fluid.
What this means: Largest stretch (piston) or compression (rod)
Illustration: Largest stretch (piston) or compression (rod)A bar of 100 parts with the share marked; Largest stretch (piston) or compression (rod) is that share out of 100. The bar follows the value you type.0 %100 %Example: 5%Largest stretch (piston) or compression (rod)
What it is
The largest change you accept in the ring size when fitted: stretch over the groove bottom for a piston, or diametral compression in the housing for a rod.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 0% to 20%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 5% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Type the percentage itself; take the limit from the seal maker.
What this means: Radial extrusion gap
Illustration: Radial extrusion gapTwo parts separated by a small gap with a dimension across the gap, marking Radial extrusion gap.cExample: 0.1 mmRadial extrusion gap
What it is
The radial clearance between the two parts at the seal, the gap the ring could be pushed into under pressure.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 2 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.1 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Radial clearance is half the diametral clearance; use the largest value the part tolerances allow.
What this means: Largest gap for the pressure and hardness
Illustration: Largest gap for the pressure and hardnessTwo parts separated by a small gap with a dimension across the gap, marking Largest gap for the pressure and hardness.cExample: 0.15 mmLargest gap for the pressure and hardness
What it is
The largest extrusion gap the ring can bridge at your pressure and ring hardness, from the seal maker’s chart.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 2 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.15 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the same radial basis as the gap you entered.

Method and formulas

  1. Piston stretch = (groove diameter − ring ID) ÷ ring ID; rod compression from the ring OD; stretched cross-section = cs ÷ √(1 + stretch) (as the O-ring gland tool).
  2. Depth = cs′ (1 − squeeze); width = π cs′² ÷ 4 ÷ (depth × fill).
  3. Mating bore (piston) = groove diameter + 2 × depth; mating rod (rod) = groove diameter − 2 × depth.
  4. At the chosen groove: squeeze = (cs′ − depth) ÷ cs′; fill = π cs′² ÷ 4 ÷ (depth × width).
  5. Example: the ring stretches 1.6518%; 2.0789 × 3.4016 mm gives the target, and the chosen groove gives 19.188% squeeze and 70.154% fill.

Limitations

  • Nominal dimensions; check squeeze and fill at the tolerance extremes too.
  • Static or slow dynamic seals; high-speed and rotary seals need different glands.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Design a gland for a standard O-ring
  • Check a drawn gland before machining
  • Find the clearance a pressure allows

Who it is for

  • Design engineers
  • Hydraulic engineers
  • Sealing engineers

What you get

  • Stretch and stretched cross-section
  • Design depth, width and mating diameter
  • Squeeze, fill, stretch and gap checks at the chosen groove

Interpreting the result

  • If the extrusion gap is too large for the pressure, fit a back-up ring rather than tightening the fit.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2591–2610. Topic reference; no source tables or recommended settings are reproduced.
  • ISO 3601-2 Fluid power systems — O-rings — Housing dimensions for general applications

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Open the O-Ring Groove Design (Depth, Width, Bore and Extrusion Gap) calculator