Retaining Rings

Technical Manual

(419) 867-8711
 Rings
Rings
Peterson American Corporation is a full-service MARKETS AND APPLICATIONS
supplier of retaining rings, or “snap” rings, that are Peterson serves customers in multiple markets, including the auto-
Peterson American
used to locate Corporation
or to retain parts on is a full-service
shafts or in cylinders MARKETS AND aerospace,
motive OE and aftermarkets, APPLICATIONSdefense, agriculture, and
industrial equipment.
Peterson serves customers in multiple markets, including the auto-
supplier of retaining rings, or “snap”
during operation. The company’s manufacturingrings, that are
Our high-volume
motive and specialty
OE and aftermarkets, rings provide
aerospace, value
defense, in a wide variety
agriculture, and
used to locate or to retain parts on shafts or
facilities are staffed and equipped for high-volumein cylinders of mechanical
industrial systems, including:
equipment.
during operation.
production The company’s
of a comprehensive manufacturing
catalog of sizes and • automatic
Our torque management
high-volume and •specialty steering
rings provide• value in aand
widechassis
variety
facilities are staffed and equipped for high-volume
configurations for a wide range of well characterized oftransmissions systems
mechanical systems, including: • industrial bearings
production
applications.of a comprehensive catalog of sizes and body and assembly • torque
• automatic powertrains,
management • steering
piston pinand chassis
retainers.
configurations for a wide range of well characterized transmissions including hybrids • industrial bearings
systems
In addition, the Specialty Ring Division can apply
applications. • body and assembly • powertrains, • piston pin retainers.
the company’s considerable resources and expertise SPECIFICATIONS including hybrids
In
to addition,
the designthe andSpecialty
productionRingofDivision can apply
ring prototypes, Materials: oil-tempered or hard-drawn, high-carbon steel; chrome-
the company’s considerable SPECIFICATIONS
silicon alloys; stainless steel; low-carbon steel; and aluminum.
short runs, or special orders.resources
For everyand expertise
product, Cross-sections: range ofor size and shape,high-carbon
including beveled and
to the design and production of ring prototypes, Materials: oil-tempered hard-drawn, steel; chrome-
Peterson’s ring professionals are dedicated to achieving multi-beveled
silicon configurations;
alloys; stainless pre-shapedsteel;
steel; low-carbon wire is available
and aluminum.for
short runs, or special
the functionality orders.
required by For
ourevery product,
customer in a cost- high-aspect-ratio
Cross-sections: range sections andand
of size improved stability. beveled and
shape, including
Peterson’s ring professionals are dedicated
effective and environmentally sound manner. to achieving Coil sizes: range of diameters from
multi-beveled configurations; pre-shaped wire0.500 to 60isinches on standard,
available for
the functionality required by our customer in a cost- round rings; diameters from 2.5 to 11.5
high-aspect-ratio sections and improved stability.inches on elliptical rings;
EXCEPTIONAL SERVICE
effective and environmentally sound manner. diameters from 3 to 7.5 inches on wave rings.
Coil sizes: range of diameters from 0.500 to 60 inches on standard,
Peterson can offer engineering, design, and technical assistance to End configurations:
round rings; diameters standard
from 2.5 cut-offs
to 11.5include
inchesstraight, inside
on elliptical and
rings;
help any customer determine SERVICE
EXCEPTIONAL the optimum combination of material, outside angle,
diameters frominside andinches
3 to 7.5 outside onbutterfly, angle/straight, and full
wave rings.
ring design, and dimensions that will provide the greatest value in radius. Specialty notches,
End configurations: bentcut-offs
standard tangs and holesstraight,
include are also inside
available.
and
Peterson can offer engineering, design, and technical assistance to
ahelp
specific application. Even when manufacturing to a
any customer determine the optimum combination of material,specification, outside angle, inside and outside butterfly, angle/straight, and full
every program CUSTOM OPTIONS
radius. Specialty notches, bent tangs and holes are also available.
ring design, andis dimensions
subject to a that
design
willreview
provideto the
ensure cost efficiency.
greatest value in
All Peterson ring products are stress relieved after manufacture.
aOur
specific
uniqueapplication. Even when
ability to engineer andmanufacturing
shape our owntowire a specification,
improves
Additional special OPTIONS
CUSTOM operations can include:
every
qualityprogram
control isand
subject to a customer
shortens design review
lead to ensure
times. cost efficiency.
Analytical
laboratories monitor coining
•All Peterson ring products • color
arecoating grinding
stress relieved•after manufacture.
Our unique ability toraw materials,
engineer and manufacturing
shape our ownprocesses,
wire improves
and completed •Additional
shot peeningspecial operations
• platingcan include: • special packaging.
quality control rings, assuringcustomer
and shortens clean, consistent parts.
lead times. Analytical
• coining • color coating • grinding
laboratories monitor raw materials, manufacturing processes,
Every Peterson ring is manufactured by coiling on precision, CNC
• shot peening • plating • special packaging.
and completed
equipment rings, assuring
to minimize scrap clean, consistent variation
and dimensional parts. that can The smart choice in engineered metal products.
result from
Every stamped
Peterson ring production. And by
is manufactured storage in on
coiling a climate-controlled
precision, CNC
environment tomaintains
minimize the integrity of finishedvariation
products.that can
equipment scrap and dimensional The smart choice in engineered metal products.
result from stamped production. And storage in a climate-controlled
environment maintains the integrity of finished products.
The information contained herein is supplied upon the condition that the persons receiving same will make
their own determination as to its suitability for their purposes prior to use. Peterson shall not be responsible
Peterson Spring Corporate Offices
for damages of any nature whatsoever resulting from the use of or reliance upon information contained herein 21200 Telegraph Road • Southfield, MI 48033, USA
or the products to which the information refers.
The information contained herein is supplied upon the condition that the persons receiving same will make
NO
theirREPRESENTATIONS
own determination as OR
to itsWARRANTIES, EITHER
suitability for their EXPRESS
purposes ORuse.
prior to IMPLIED,
PetersonARE
shallMADE
not beHEREUNDER
responsible
Peterson
248.799.5400 Spring Corporate
• Fax: 248.357.3176Offices
WITH RESPECT
for damages of anyTO THEwhatsoever
nature INFORMATIONresultingOR THE
from thePRODUCTS TO WHICH
use of or reliance THE INFORMATION
upon information contained herein sales
21200 @pspring.com
Telegraph Road • www.pspring.com
• Southfield, MI 48033, USA
REFERS AND ALL IMPLIED WARRANTIES
or the products to which the information refers.OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
PURPOSE OR OF ANY OTHER NATURE ARE EXPRESSLY EXCLUDED.
NO REPRESENTATIONS OR WARRANTIES, EITHER EXPRESS OR IMPLIED, ARE MADE HEREUNDER
248.799.5400
© • Fax:
2010, Peterson American 248.357.3176
Corporation. All rights reserved.
WITH RESPECT TO THE INFORMATION OR THE PRODUCTS TO WHICH THE INFORMATION sales@pspring.com • www.pspring.com
REFERS AND ALL IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
PURPOSE OR OF ANY OTHER NATURE ARE EXPRESSLY EXCLUDED. © 2010, Peterson American Corporation. All rights reserved.
Retaining Rings
Technical Manual

Design Guidelines
and
Engineering Specifications

Engineering & Manufacturing

Maumee Plant
1625 Commerce Road
Holland, OH 43528
Phone: (419) 867-8711
FAX: (419) 867-8715

1
 Table of Contents
Introduction������������������������������������������������������������������������������������������������������������������������������������������ 3
Common Terminology for Coiled Retaining Rings��������������������������������������������������������������������������� 4
INTERNAL RINGS
EXTERNAL RINGS
Common Terminology���������������������������������������������������������������������������������������������������������������������� 5-7
THRUST
MATERIALS
MANUFACTURING
RING CONDITIONS
RING DESIGN CONSIDERATIONS
SPECIAL APPLICATION RINGS
PACKAGING
Design Guidelines for Coiled Retaining Rings���������������������������������������������������������������������������������� 8
RING DIAMETERS
DIAMETER TOLERANCES
b/t RATIO
RING THICKNESS TOLERANCE
RING SECTION RADIAL WIDTH TOLERANCE
GAP WIDTH TOLERANCE
RING FLATNESS
MATERIAL HARDNESS
CORRELATION BETWEEN ROCKWELL HARDNESS AND TENSILE STRENGTH
Design Guidelines��������������������������������������������������������������������������������������������������������������������������� 9-10
MATING COMPONENTS
RING CORNER RADIUS/CHAMFER
DIAMETER FIT
RADIAL COVERAGE
GROOVE WIDTH
SHOULDER WIDTH
RADIAL CLEARANCE
MAXIMUM STRESS LEVEL
CUTOFF CONFIGURATIONS
TYPICAL CUTOFF CONFIGURATIONS
Material Specifications��������������������������������������������������������������������������������������������������������������������� 11
GENERAL PROPERTIES OF COMMON MATERIALS USED
IN RETAINING RING APPLICATIONS
Design Formulae�������������������������������������������������������������������������������������������������������������������������� 12-14
INTRODUCTION
TERMS

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2
 Table of Contents
RADIAL LOAD AN DEFLECTION STRESS
STRESS CORRECTION FACTORS
THRUST CALCULATIONS AND THRUST LIMITING FACTORS
MAXIMUM ROTATIONAL SPEED
Design Example���������������������������������������������������������������������������������������������������������������������������� 15-18
SOME BACKGROUND CONSIDERATIONS
EXAMPLE PROBLEM
Ring Standards���������������������������������������������������������������������������������������������������������������������������������� 18
Type 1A01 External Retaining Rings and Grooves������������������������������������������������������������������������� 19
Type 1B01 Internal Retaining Rings and Grooves�������������������������������������������������������������������������� 20
Information Sheets for General Inquiries����������������������������������������������������������������������������������� 21-22
INTERNAL RETAINING RING APPLICATION INFORMATION SHEET
EXTERNAL RETAINING RING APPLICATION INFORMATION SHEET
Notes��������������������������������������������������������������������������������������������������������������������������������������������� 23-24

Introduction
Peterson Spring has over 50 years of experience in the design and manufacture of coiled retaining rings.
We have designed and built much of our own equipment.

With skills and manufacturing processes, developed over half a century, Peterson Spring is truly a world
leader in supplying retaining rings to automotive and industrial markets. Our rings are used for transmis-
sion, bearing, valve, gauge, appliance, and general industrial applications.

We have produced this Technical Manual for guidance in the design of rectangular, uniform section,
coiled retaining rings. It is intended for engineers and technicians who desire a comprehensive review
of retaining rings and their applications.

Our engineers are always ready to assist you: give us the details of your design project or the problem
you are trying to solve, and we will put our expertise to work for you.

Our manufacturing plant is staffed with its own quality department to insure the conformance of incoming
and outgoing materials as well as in-house processes. Peterson’s metallurgical lab, located at the
corporate headquarters in Southfield, Michigan, is also available for more in-depth or specialized anal-
ysis as well as research and development activities.

Reasonable care has been taken in the preparation of the material contained in this Manual. However, it is offered for its
informational value only, no responsibility for possible errors or omissions can be assumed.

(419) 867-8711
3
 Common Terminology for Coiled Retaining Rings

INTERNAL RINGS EXTERNAL RINGS

Internal Retaining Ring – A ring which fits into a groove External Retaining Ring – A ring which fits into a groove
which will encompass the ring’s outer diameter and is which will encompass the ring’s inner diameter and is typi-
typically contained in some type of housing. A free outer cally used on some type of shaft. A free inner diameter is
diameter is usually specified on internal rings. usually specified on external rings.

Internal Ring Assembly Cross Section

External Ring Assembly Cross Section
Housing Diameter (DH) – The compressed outside diam-
eter an internal ring experiences before reaching the Shaft Diameter (DS) – The expanded inside diameter
groove. This is the diameter where the ring experiences an external ring experiences before reaching the groove.
maximum stress during assembly. This is the diameter where the ring experiences maximum
Installed Gap – The minimum distance between ring ends stress during assembly.
when installed in a gauge that simulates assembly condi- Free Gap (G) – The distance between ring ends when
tions. The installed gap is usually specified on internal the ring is in a free diameter state. The free gap is usually
rings. specified on external rings.

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4
 Common Terminology
THRUST MATERIALS
Thrust – The axial force that opposing retained compo- Common Retaining Ring Materials – The two most
nents exert against the ring and groove. Extreme forces frequently used materials for coiled retaining rings are hard
can deform a groove, push the ring from the groove, or drawn steel and oiled tempered steel.
shear the ring off above the groove, particularly if the • Hard Drawn Steel
groove material is harder than the ring material. A material which receives its tensile properties, i.e. hard-
There are two common types of thrust: static and surge. ness, from the wire drawing process, or cold working.
• Static Thrust (T) Advantages: Cost, clean surface
Constant load being exerted by components against Disadvantages: Lower tensile strength than oil
the retaining ring. tempered steel
• Surge Thrust • Oil Tempered Steel
A sudden sharp increase in load exerted by compo- A material which receives its tensile strength, i.e. hard-
nents against the retaining ring. ness, from its martensitic grain structure produced
Total Radial Clearance – The maximum or total dimen- during the tempering process.
sion allowed for adequate contact between the diameter of Advantages: Higher Tensile strength than hard
the bore or shaft and the diameter of the retained part. This drawn steel
dimension includes radial clearance, groove chamfer, and
mating part chamfer or radius. Disadvantages: Cost, residual oxides and residual
oils on wire surface
• Other Materials
Other materials or alloys may be required in special
applications such as stainless steel in corrosive envi-
ronments or oil tempered chrome silicon steel in high
stress applications.
Ultimate Tensile Strength (ST) – The tensile force/load
required to break a test piece, expressed as force/unit
area. A related term is breaking strength.
Yield Point or Strength (Sy) – The point where a mate-
rial exhibits a deviation from proportionality of stress and
strain. (0.2% offset is commonly used.) The yield point on
material is always lower than the tensile strength.
Ring Set – A state where the ring has been subjected
Internal Ring Assembly Cross Section to bending stress during assembly or disassembly that
exceeded the ring material strength properties, thereby
inducing a permanent change in diameter.
Shoulder Width (w) – The distance from the ring groove to Springback – The diameter recovery that rings demon-
the end of the shaft or housing. This should be greater than strate after compression or extension forces are removed.
four times the groove depth.
Rockwell Hardness – A measure of material hardness
indicated by the amount of residual penetration in the
material surface caused by a test instrument.

MANUFACTURING
Certified raw material is received in coils of round spring
wire. These high carbon steel and alloy wires will be custom
shaped to optimize the final cross sections required for
each retaining ring application.
Shoulder Width

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5
 Common Terminology
Wire Shaping – The operation by which the round raw Rings are stress relieved at appropriate time and tempera-
wire is formed into a trapezoidal intermediate shape by ture settings to insure optimum performance characteris-
rolling and shaping mills. In a highly automated process, tics and dimensional stability.
a keystone (trapezoidal) cross section is achieved by
drawing the material through the wire polishers and multi- RING CONDITIONS
staged rolling and shaping mills. Free Helix – The distance one side of the ring varies out
Cold Working – Plastic deformation at a low or ambient of flat from the other when resting in a free state on a flat
air temperature that creates strain hardening (work hard- plate. This condition is inherent to the coiling process. Toler-
ening). ances are often specified when rings are to be assembled
with automated magazine loaded assembly equipment.
Keystone Wire – The intermediate trapezoidal shape used
to compensate for metal flow of the wire during the ring Total Free Height – Ring section thickness plus free helix
coiling operation. Keystone cross sections are carefully measurement. To check for this condition, rings are usually
engineered and enrolled to insure precision tolerances in passed through parallel plates placed at a maximum spec-
the final ring forming operations.

Wire Cross Section Stages Ring Cross Section with Helix & Total Free Height
Ring Corner Radius (R) – The corner shape resulting
ified distance.
from final coiling operations. At times this may not be a true
Lateral Deformation – A number of conditions that include
radius, but more of a blended chamfer. The shape of the
dish, section deformation, and cutoff deformation. Dish is
corners is the result of metal flow during the wire forming
a concave or convex condition of the ring section when
process.
placed on a flat plate. Section deformation is caused by
material irregularity and occurs rarely. Cutoff deformation
refers to burrs or distortion generated during the shearing
process.
These conditions are usually checked between parallel
Ring Corners plates under a specified load (usually 10 lbs. or 4.5 kg) and
the distance between the plates measured. If excessive,
Coiling – The operation of forming a ring, and cutting the
any of these conditions may cause assembly problems.
formed ring loose. Feeding from large bundles, the shaped
keystone wire is formed into a circle by exceeding the mate-
rial’s yield point. This process results in a ring having the
desired cross section and free diameter. The ring is then
cut from the wire by the shearing action of a contoured
punch in a die set.
Ring Gap or End Configurations – The cutoff config-
urations at the ring tips. The different configurations are
used for ring installation, servicing, and identification. See
Design Guidelines section, page 10, for an illustration of
the various configurations available.
Stress Relieving – The operation of subjecting the coiled
rings to a low temperature heat treat to relieve residual
stresses left in the material from the shaping and coiling
(cold working) of the material during processing.
Lateral Deformation with Three Conditions

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 Common Terminology
Radial Fit – The roundness of the ring to the groove. SPECIAL APPLICATION RINGS
Sometimes specified by the customer as a maximum out
of round dimension when checked in a gauge. Bevel Section or L-Section Ring – Special section rings
used for taking up end play in assemblies or in applications
such as bearing assemblies.

Special Cross Sections

Wave Ring – A special retaining ring with a series of

formed waves around the ring. These are commonly used
Radial Fit for taking up end play or providing cushion against dynamic
forces. These can also be used to replace compression
springs when packaging space is minimal.
RING DESIGN CONSIDERATIONS Ground Ring – A retaining ring that has the opposing ring
Radial Load (P) – The reactive force exerted by the ring’s facing the ground to control ring thickness and flatness
outer diameter when the ring is in compression, or the beyond standard Statistical Process Control capability
ring’s inner diameter when it is in expansion. tolerances. Secondary processing is sometimes neces-
sary for special applications. A double disc grinding oper-
Mean Diameter (D) – The theoretical mid-point diameter ation is used for rings requiring specialized incremental
between the ring’s outer diameter and inner diameter. thickness tolerances in selective fit applications.
Index (D/b) – The mean ring diameter divided by the radial
section width. This ratio is used in stress calculations and PACKAGING
is a useful indicator in determining if the ring will be diffi- Stacked and Wrapped – The rings are stacked and either
cult to coil. clipped or outer diameter wrapped with foil to maintain
b/t – The ring’s radial section width divided by the ring’s packaged orientation. They may also be shipped on tubes.
section thickness. This ratio is important when determining Stacked, Gap Oriented, and Wrapped or Clipped –
if the final shaped cross section can be cold formed from The same as above but with the ring free gaps aligned.
raw round wire. This method is used primarily for automated magazine fed
assembly machines.

b/t Ratio

(419) 867-8711
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 Design Guidelines for Coiled Retaining Rings
RING DIAMETERS GAP WIDTH TOLERANCE
Ring diameters from .500 in. to 24.000 in. (12.7 mm to 610 External rings are usually specified with a linear free gap
mm) can be produced on standard ring coiling machines. dimension. The minimum tolerance is dependent on the
Other sizes are capable. ring’s diameter tolerance and determined by multiplying
the ring’s diameter tolerance by π. (Linear width is negli-
gibly different than the actual arc length and is more prac-
DIAMETER TOLERANCES tical to measure.)
A good rule of thumb is ± .010 in. (0.25 mm) per each Internal rings are sometimes specified with an installed
1.000 in. (25.4 mm) of diameter. The exception is rings linear gap dimension that allows a minimum of .039 in.
under 1.500 in. (38.1 mm) which should remain at ± 0.15 (1.00 mm) clearance between ring end tips during instal-
in. (0.38 mm). lation. (See page 16 for determining the minimum gap on
an example problem.) The ring gap is typically checked by
@ Dia. <1.500 in. @ Dia. >1.500 in. holding the ring diameter to a specific gauge dimension
(<38.1 mm) (>38.1 mm) and measuring the gap width within a tolerance of .125 in.
(3.18 mm) or greater. If a free gap dimension is specified,
± 0.10 in. (0.25 mm) tolerances would be the same as for external rings.
Diameter (D) ± .015 in. per each
Tolerance (0.38 mm) 1.000 in. (25.4 mm)
of Dia.
RING FLATNESS
The maximum free helix should equal the maximum ring
thickness. Anything less is difficult to maintain for most
b/t RATIO Statistical Process Control requirements. Dish tolerances
The following ring width to thickness ratios should not be are usually specified as .005 in. (0.13 mm) over maximum
exceeded for conventional ring manufacturing processes: material section thickness when measured under parallel
plates exerting a 10 lb. (4.5 kg) load.
carbon steel 4
chrome silicon steel 3
stainless steel 4
MATERIAL HARDNESS
Wire with b/t ratios greater than 5 cannot be cold worked If material hardness on a coiled ring is given, the values
from round wire on conventional equipment and is typically should be specified within the following ranges:
purchased preformed at a significant material price penalty. ASTM-A227 hard drawn, Rockwell “C” 40-50
ASTM-A229 oil tempered, Rockwell “C” 43-53
RING THICKNESS TOLERANCE ASTM-A401 oil tempered chrome silicon,
Rockwell “C” 48-58
The ring thickness tolerance should be ± .002 in. (0.05
mm). To maintain a statistically controlled tolerance of Hardness values are generally not required on the blue-
± .001 in. (0.025 mm), secondary grinding is required print, since they are often covered within the customer’s
adding significant expense. material specifications. However, it is sometimes appro-
priate to specify the hardness range of the finished ring in
order to distinguish between materials. Tensile testing is
not possible once the material has been coiled.
± .002 in. ± .001 in.
Section Thickness (0.05 mm) (0.025 mm)
(t) as formed with secondary CORRELATION BETWEEN ROCKWELL
grinding HARDNESS AND TENSILE STRENGTH
In a ring application, tensile strength is the important
RING SECTION RADIAL WIDTH factor. Raw material is purchased to tensile strength
values which cannot be checked after the wire is coiled.
TOLERANCE Since tensile testing of coiled rings is not possible, some
The ring section radial width tolerance should be ± .004 in. customers specify hardness ranges on their retaining ring
(0.102 mm) minimum. designs. Using the tolerance ranges shown above should
insure adequate material performance and property
characteristics.

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8
 Design Guidelines
MATING COMPONENTS SHOULDER WIDTH
Thrust capacity is dependent on ring and groove charac- Shoulder width (w) should be greater than four times the
teristics, and the clearances between mating components. groove depth (h) for optimum groove thrust capacity and
support. When width to groove depth ratios (w/h) are less
RING CORNER RADIUS/CHAMFER than four, groove thrust capacity is adjusted with correction
factors shown on page 14.
Ring corners are seldom a true radius due to metal flow
during the transition from round wire to shaped wire. The RADIAL CLEARANCE
corner break should be dimensioned as shown in the illus-
tration to provide corner zone control. Corners must be Mating components retained by rings should have minimal
equal in configuration, with .010 in. (0.25 mm) tolerance radial clearance, minimal ring and groove and groove
and at least 2/3 of the ring’s edge radially contacting the corner radii/chamfer, and minimal corner breaks. When
groove. the ring is axially loaded, the greater the radial distance
from the support of the groove, the greater the ring deflec-
tion will be, lowering thrust capabilities. Radial clearance
must be considered in the calculation of maximum radius/
chamfer as part of the maximum corner break.

Corner Radius (R) Edge Contact

DIAMETER FIT
A .020 to .050 in. (0.50 mm to 1.27 mm) interference fit
should be maintained under most conditions between
the ring diameter and the groove diameter. Greater inter-
ference will not result in greater thrust capability. Some
designers use 1% of the ring diameter to determine the
groove interference.
Internal Ring Assembly Cross Section
RADIAL COVERAGE
Groove depth (h) should be 1/3 to 1/2 of the ring’s radial MAXIMUM STRESS LEVEL
width (b). This provides optimum ring stability in applica-
tions with high shear forces. Maximum bending stress occurs during ring installation.
To avoid plastic deformation, the stress level on internal
rings should not exceed 100% of the minimum material
tensile strength, and on external rings 80%. For maximum
set resistance, rings should be stress relieved to remove
residual stresses produced during the ring forming
operation.

Radial Coverage

GROOVE WIDTH
Groove width (x) should be 1.143 times the mean ring
section thickness (t) dimension. This provides sufficient
clearance for assembly while minimizing ring tipping in
unstable situations.

(419) 867-8711
9
 Design Guidelines
CUTOFF CONFIGURATIONS
Because some cutoff configurations are more costly than • Gap opening should be dimensioned as the minimum
others, it is important to determine the optimum design linear distance between gap ends.
for each application. Any two of the configurations can be
provided on the same ring (opposing at the gap) to meet • When both ends have angled cuts, the included angle
various design or cost criteria. should be specified when possible.
• Full radius cuts or those having long shear lengths
require high cutting loads and are susceptible to distor- Refer to the following illustrations for specific design
tion and burning. guidelines.

TYPICAL CUTOFF CONFIGURATIONS

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10
 Material Specifications
GENERAL PROPERTIES OF COMMON MATERIALS USED
IN OF
GENERAL PROPERTIES RETAINING RINGUSED
COMMON MATERIALS APPLICATIONS
IN RETAINING RING APPLICATIONS

ULTIMATE FINISHED
MAXIMUM
TENSILE APPROXIMATE RING
WIRE MODULUS OF RECOMMENDED
STRENGTH SHEAR HARDNESS
COMMON RING WIRE DIAMETER ELASTICITY SERVICE
LENGTH psi (ROCKWELL
(d) IN. (MM) (ST) RANGE (MPa)
(E) psi (Mpa)
"C" SCALE)
TEMPERATURE
psi (MPa) °F (°C)
HRC

.080 in. 227-261 x 10³

(2.03 mm) (1565-1800)

Hard Drawn .120 in. 210-241 x 10³ 140,000 30 x 10⁶ 302

40-50
Carbon Steel (3.05 mm) (1448-1662) (965) (207 x 10³) (150)
ASTM-A227
.177 in. 195-225 x 10³
(4.50 mm) (1345-1551)

.080 in. 235-265 x 10³

(2.03 mm) (1620-1827)
Oil Tempered
.120 in. 220-250 x 10³ 150,000 30 x 10⁶ 320
Carbon Steel 43-53
(3.05 mm) (1517-1724) (1034) (207 x 10³) (160)
ASTM-A229
.177 in. 200-225 x 10³
(4.50 mm) (1379-1551)

.080 in. 285-310 x 10³

(2.03 mm) (1965-2137)
Oil Tempered Chrome
.120 in. 275-300 x 10³ 165,000 30 x 10⁶ 482
Silicon Alloy Steel 48-58
(3.05 mm) (1896-2068) (1138) (207 x 10³) (250)
ASTM-A401
.177 in. 260-285 x 10³
(4.50 mm) (1793-1965)

.080 in. 241-275 x 10³

(2.03 mm) (1662-1896)

Stainless Steel .120 in. 222-275 x 10³ 120,000 28 x 10⁶ Approx. 400
ASTM-A313 (3.05 mm) (1531-1896) (827) (193 x 10³) 25-35 (205)

.177 in. 198-228 x 10³

(4.50 mm) (1365-1572)

APPROXIMATE
APPROXIMATE
COMMON APPROXIMATE HARDNESS
ULTIMATE
GROOVE YIELD STRENGTH BRINELL SCALE - Bhn
TENSILE STRENGTH
MATERIAL psi (MPa) ROCKWELL "C"
psi (MPa)
SCALE - HRC

Low-Mild Carbon Steel 67 x 10³ (462) 45 x 10³ (310) 150 Bhn

Hardened Carbon Steel 180 x 10³ (1241) 162 x 10³ (1117) 45 min. HRC

Cast Steel 100 x 10³ (690) 80 x 10³ (552) 360 Bhn

None - Use
Grey Iron 50 x 10³ (345) 260 Bhn
Tensile Value
Ductile Iron 75 x 10³ (517) 50 x 10³ (345) 225 Bhn

Cast Aluminum 32 x 10³ (221) 24 x 10³ (165) 120 Bhn

(419) 867-8711 Design Formulae

11
INTRODUCTION
 Design Formulae
INTRODUCTION TERMS
TERMS

Retaining rings are essentially circular, slender beams that Linear dimensions
Linear dimensionsofofthe
the following termsuse
following terms useinches
inches
(mm); force chara
are laterally stable and deflection loaded in pure bending. characteristics
(mm); use psi (MPa).
force characteristics use lbs. (Newtons); strength
Various design approaches are used to engineer rings for characteristics use psi (MPa).
TERMS 𝜋𝜋𝜋𝜋²
given applications and they are all based on conventional A A – Ring cross sectional sectional area area ( 𝑡𝑡 x 𝑏𝑏 or 4 )
engineering mechanics principles such as Hooke’s Law
b bLinear
–– Ring
Ringdimensions
radial section
radial section width
width
of the following terms use inches (mm); force chara
and Castigliano’s Theorem.
b/t b/t ––Ring
Ringradial
characteristicsradialwidth width
use toto(MPa).
psi thicknessratio
thickness ratio
The following formulae and procedures are based on C – Total radial clearance
Cm – Total radial clearance allowed when
m allowed when mating
mating partshave
parts have chamfers
established theoretical and empirically derived guidelines, CF –chamfers
Correction factor for maximum groove𝜋𝜋𝜋𝜋² thrust based on the w/h ra
best suited for the range of retaining rings, commonly used A – Ring cross sectional areafor( internal 𝑡𝑡 x 𝑏𝑏 or 4 )
CF CF –I –Correction
Stress correction
factor forfactor maximum grooverings thrust based on
by customers of Peterson Spring. CFb– –Ring
EtheStress
w/hradial correction
ratio section factorwidth for external rings
First the equations for radial load and stress are noted. CFID b/t
– – Stress
Mean
– Ringdiameter:
radial width
correction Internal ring
to thickness
factor for (outer
internal ratiodiameter – b) External ring (inn
rings
D
CFE – – Groove
CGmStress diameter
– Totalcorrection
radial clearance factor for allowed
external whenringsmating parts have chamfers
Along with the equations for uniform section rectangular
DCFH –– Housing
Correction diameterfactor for maximum groove thrust based on the w/h ra
wire rings, formulae for round wire rings are also given. D – Mean diameter: Internal ring (outer diameter – b)
DCFS –I –Shaft
Stress diameter
correction factor for+internal rings
Although the vast majority of retaining rings are manufac- External ring (inner diameter b)
dCF – Wire diameter
E – Stress correction factor for external rings
tured from rectangular uniform section wire, round wire DG – Groove diameter
D/b
D ––MeanRing diameter:
index (rectangular Internal ring wire)(outer diameter – b) External ring (in
rings are sometimes used as spacers or retaining rings DH – DG Housing
D/d – Ring
Groove diameter
index (round wire)
diameter
when thrust loads are low. DS ED–H Shaft
Modulus diameter
– Housing ofdiameter
elasticity
During assembly, the expansion or contraction load on d – FD–S Deflection
– Shaft
Wire diameter at the gap of a ring
diameter
f d– –Deflection
Wireindex 90° from center of gap
diameter
most rings is applied at 90° from the center of the gap. D/b – Ring (rectangular wire)
GD/b – Ring
– Ringfreeindex
gap (rectangular wire)
Automated or manual assembly methods typically utilize D/d – Ring index (round wire)
hD/d– Groove
– Ring depth
index (round wire)
some type of tapered tool to guide the ring into a bore or E – Modulus of elasticity𝑡𝑡 x 𝑏𝑏³
E – Modulus of elasticity 𝜋𝜋 x 𝑑𝑑𝑑
over a shaft. The area of greatest force is therefore applied F – I – Moment
F –Deflection
of inertia gap
Deflectionatatthe
( ofofaaring
the gap12
or 64 )
ring
90° from the center of the gap. The second assembly I.D. – Ring inside
f – f – Deflection 90°diameter
from center of gap
method applies the expansion or contraction load at the N G ––Rotational
Ring free speed
gap in revolutions per minute
G – Ring free gap
gap, usually through manual methods utilizing special O.D. – Ring outside
h – Groove depth diameter
pliers or other tools to hold the ring ends. External rings h – Groove depth
PG – Load at gap of ring during 𝑡𝑡 x 𝑏𝑏³ gap 𝜋𝜋 deflection
x 𝑑𝑑𝑑
with extremely wide gaps such as “C” rings are designed to I – PIg––Moment
Load 90° offrom
inertia ( 12of gap
center or 64 )
be pushed radially over a shaft groove spreading the ring I.D. RI.D.
– Ring
Corner inside
– Ring Radius
inside diameter
diameter
ends in the process. Regardless of the techniques used for N RNm–––Rotational
Total radial
Rotational clearance
speed
speed allowed per
ininrevolutions
revolutions when mating parts have radii
perminute
minute
assembly, the area of highest ring bending stress occurs S O.D.– Stress
– Ring for rings
outside
O.D. – Ring outside diameter
G expanded
diameter at the gap
180° from the center of the gap. SPgG– –Stress
Load forgaprings expanded 90° from center of gap
PG – Load at atgap of of ring
ring duringduring gapgap deflection
deflection
SPs g––Shear
Load strength
90° from of ring material
center of gap
Following the radial load and stress equations are the Pg –SRT –Load 90° from
Ultimate
Corner Radius tensile center
strength of gapof ring material
stress correction factors for both the internal and external R SRy–m – Corner
Yield Radius
strength of groove allowed materialwhen mating parts have radii
– Total radial clearance
ring. Next, thrust calculation formulae are given, followed TS–G Static ringfor thrust
Rm – – Stress
Total radial ringscapacity
clearance expanded
allowed at whenthe mating
gap parts have radii
by the rotational speed capacity equation for external rings. TSGg––Stress
Static groove
Stressfor for ringsthrust
expandedcapacity
SG – rings expanded at90°
the from
gap center of gap
TSCs––Static
Shearforring thrustof
strength with
ringmaximum
material allowable corner break or chamfe
Sg – Stress rings expanded 90° from center of gap
TSRT––Static
Ultimateringtensile
thrust withstrength maximum
of ringallowable
material corner radius
Ss – Shear
t S–yRing strength of ring material
thickness
– Yield strength of groove material
ST –VT––Ultimate
External
Static ring tensile
ring strength
radial
thrust of ring material
interference
capacity (DG – I.D.)
Sy –wTG– Yield
–Shoulder
strength
Static widthofthrust
groove groove material
capacity
T xT––C Groove
– Static
Static width
ringring thrust
thrust with maximum allowable corner break or chamf
capacity
y,z
T R –
– Empirically
TG – Static groove thrustwith
Static ring derived
thrust variable
maximum allowable corner radius
capacity
t – Ring thickness
TC – Static ring thrust with maximum allowable corner break
V –orExternal
chamferring radial interference (DG – I.D.)
w – Shoulder width
TR – Static ring thrust with maximum allowable corner radius
x – Groove width
t y,z – Ring thicknessderived variable
– Empirically
V – External ring radial interference (DG – I.D.)
w – Shoulder width
x – Groove width
y,z – Empirically derived variable

www.pspring.com
12
 Design Formulae
RADIAL LOAD AN DEFLECTION STRESS
Radial Load

RECTANGULAR WIRE ROUND WIRE

90° FROM CENTER 3 4
Pg = 4Etb f Pg = Ed f
OF THE GAP 3πD3 4D3
3 4
AT THE GAP PG = 4Etb F PG = Ed f
18πD3 24D3

Deflection Stress

RECTANGULAR WIRE ROUND WIRE

90° FROM CENTER
Sg = fE [(CFI) or (CFE)] Sg = fE [(CFI) or (CFE)]
OF THE GAP b d

AT THE GAP SG = FE [(CFI) or (CFE)] SG = FE [(CFI) or (CFE)]

3b 3d

STRESS CORRECTION FACTORS

Internal Retaining Rings External Retaining Rings
CFI = [(D/b) y]* + z CFE = [(D/b) y]* + z

D/b y z D/b y z

†7.500CORRECTION
STRESS -5.714 x 10-3
to < 8.075 FACTORS 4.876 x 10-2 †7.500 to < 8.100 -8.889 x 10-3 9.600 x 10-2
8.075 to < 8.600 -3.810 x 10-3 4.876 x 10-2 8.100 to < 8.375 -7.273 x 10-3 7.560 x 10-2
Internal Retaining Rings
8.600 to < 9.225 -3.200 x 10-3 4.352 x 10-2 8.375 to < 8.688 -6.400 x 10-3 7.560 x 10-2
CFI = [(D/b) y]* + z
9.225 to < 10.100 -2.285 x 10-3 3.509 x 10-2 8.688 to < 9.050 -5.517 x 10-3 7.560 x 10-2
10.100 D/b
to < 10.575 -2.105 -3 x 10-2 -4.444 x 10-3 5.822 x 10-2
y x 10 3.326
z 9.050 to < 9.500
-3 -2
†7.500 to
10.575 to << 8.075
11.150 -5.714 x 10-3
x 10
-1.739 4.876 x 10x 10-2
2.939 9.500 to < 10.050 -3.636 x 10-3 5.055 x 10-2
-3 -2
8.075 to < 8.600 -3.810 x 10 -3 4.876 x 10
11.150 to < 11.850 -1.429 x -3
10 2.593 -2x 10-2 10.050 to < 10.686 -3.141x 10-3 4.562 x 10-2
8.600 to < 9.225 -3.200 x 10 4.352 x 10
-3 -3
x 10x 10-2 -2.313 x 10-3 3.673 x 10-2
-2
11.850
9.225 toto< <10.100
12.675 -1.212
-2.285 x 10
x 10 2.336
3.509 10.686 to < 11.550
-3 -2
10.100 to < 10.575 -2.105 x 10 -3 3.326 x 10
12.675 to < 13.550 -1.143 x -3
10 2.249 -2x 10-2 11.550 to < 12.675 -1.777 x 10-3 3.053 x 10-2
10.575 to < 11.150 -1.739 x 10 2.939 x 10
-3 -3
x 10x 10-2 -1.126 x 10-3 2.228 x 10-2
-2
13.550
11.150 toto<<11.850
14.550 -1.000
-1.429 x 10
x 10 2.055
2.593 12.675 to < 14.450
-3 -2
11.850 to < 12.675
14.550 to < 16.050 -1.212 x 10 10-4
-6.667 x -3 2.336 x 10x 10-2
1.570 14.450 to < 15.700 -8.000 x 10-4 1.756 x 10-2
-2
12.675 to < 13.550 -1.143 x 10 2.249 x 10
16.050
13.550 toto<<14.550
16.925 -5.714
-1.000 x -310-4
x 10 1.417
2.055 x 10x 10
-2 -2 15.700 to < 17.650 -5.120 x 10-4 1.305 x 10-2
-4 -2
14.550 to < 16.050
16.925 to < 18.000 -6.667 x 10
-4.651 x -410-4 1.570 x 10x 10-2
1.237 17.650 to < 19.000 -3.700 x 10-4 1.054 x 10-2
-2
16.050 to < 16.925 -5.714 x 10 1.417 x 10
18.000
16.925 toto<<18.000
19.500 -3.300
-4.651 x -410-4
x 10 1.000
1.237 x 10x 10
-2 -2 19.000 to < 23.000 -1.250 x 10-4 5.875 x 10-3
-4 -2
18.000 to < 19.500
19.500 to < 21.000 -3.300 x 10
-2.000 x -410-4 1.000 x 10x 10-3
7.400 23.0 or greater -1.000 x 10-4 5.300 x 10-3
-3
19.500 to < 21.000 -2.000 x 10 7.400 x 10
21.000
21.000 toto<<22.500
22.500 -6.667
-6.667 x -510-5
x 10 4.600 x 10x 10
4.600 -3 -3
-5 -3
22.5
22.5 or
orgreater
greater -4.000 x 10
-4.000 x 10-5 4.000 x 10x 10-3
4.000

*Substitute D/d using round wire.

†If less than 7.500, consult Peterson Spring Engineering

------------------------------------------------------------------------------------------------------------------------------------------------------------
(419) 867-8711
External Retaining Rings 13

CF = [(D/b) y]* +
 Design Formulae
THRUST CALCULATIONS AND Corrected Thrust Capacity – The following formulae
give the maximum static thrust capacity of the ring when
THRUST LIMITING FACTORS factored at the maximum total radial clearance, Rm or Cm.
Thrust limitations can be calculated from the following
formulae. If the shoulder width is less than the recom- Internal Ring:
mended ratio of four times the groove depth, the maximum Inch
static groove thrust is adjusted. TR = [((DH x t) 0.106) + .0708] T
Maximum Thrust Calculations for TC = [-0.060 (DH x t) + 0.230] T
Retaining Rings & Grooves Metric
Static Thrust Adjusted Thrust TR = [((DH x t) 0.106 (1.55 x 10-3)) + 0.708] T
@ w/h ≥ 4 Due to w/h < 4 TC = [(-0.060 (DH x t) (1.55 x 10-3)) + 0.230] T
Internal Ring T = .3 (DHSSπt) - -3
Cm = [(( t x h) 3.862 (1.55 x 10 )) + .03154] 25.4
External Ring T = .25 (DSSSπt) - External Ring:
Corrected Thrust Capacity – The following formulae give th
Internal Groove Tg = .6 (DHSyπh) Tg = [.6 (DHSyπh)] /CF* Inch
factored at the maximum total radial clearance, Rm or Cm.
TR = [((DS x t) 0.1625) + 0.669] T
External Groove Tg = .5 (DSSyπh) Tg = [.5 (DSSyπh)] /CF* TC = [((DS x t) 0.1625) + 0.669] T
Internal Ring:
*Where CF is calculated from the following equations: Metric Inch
TR = [((DS x t) 0.1625 (1.55 x 10-3)) + 0.669] T
T = [((D x t) 0.106) + .0708] T
w/h CF TC =R[((DS xHt) 0.1625 (1.55 x 10-3)) + 0.669] T
TC = [-0.060 (DH x t) + 0.230] T
1.0 to 1.5 (-3.200 x w/h) + 7.490 Metric
Surge Loading andx Other
TR = [((D Concerns-3 – Surge loading
>1.5 to 2.0 (-1.550 x w/h) + 5.054 H t) 0.106 (1.55 x 10 )) + 0.708] T
(without impact) can be compensated for -3 by using 50%
TC = [(-0.060 (DH x t) (1.55 x 10 )) + 0.230] T
>2.0 to 2.5 (-0.948 x w/h) + 3.856 of the preceding thrust calculations. Further reductions in
>2.5 to 3.0 (-0.600 x w/h) + 2.997 thrust capacity are caused
External Ring: by impact and vibration loads,
large gap widths,
Inch and interrupted cuts or splined groove
>3.0 to 3.5 (-0.260 x w/h) + 1.982 shoulders. Structural integrity of the grooved component
TR = [((DS x t) 0.1625) + 0.669] T
>3.5 to 4.0 (-0.156 x w/h) + 1.557 is also affected by the reduced wall thickness under the
TC = [((DS x t) 0.1625) + 0.669] T
>4.0 Has Negligible Influence groove as well as stress concentrations in the groove
Metric
corners. Dynamic testing of an actual assembly -3
or system
TR = [((D
is recommended x t) 0.1625
to Sverify (1.55 values.
calculated x 10 )) + 0.669] T
Total Radial Clearance and Corner Conditions – Total -3
TC = [((DS x t) 0.1625 (1.55 x 10 )) + 0.669] T
radial clearance affects the thrust capacity of an assembly
and must be considered when chamfers, radii, or generous MAXIMUM ROTATIONAL SPEED
Surge Loading and Other Concerns – Surge loading (witho
clearances are present. To calculate the maximum total
Centrifugal preceding thrustexternal
force affects calculations.
ringsFurther
only. reductions in thrust cap
If high rota-
radial clearance allowed for an assembly, the following gap widths, and interrupted cuts or splined groove shoulders.
tional speeds are expected in an installation, the following
affected by the reduced wall thickness under the grove as we
formulae can be utilized. Corresponding corrected thrust
formula is generally recognized
Dynamic testing as anassembly
of an actual adequate or guideline
system is recomme
capacity formulae follow.
for determining the ring’s maximum revolutions per minute
Internal Ring: (N). Use English
MAXIMUMunitsROTATIONAL
only with thisSPEED
formula.
Inch Centrifugal force affects external rings only. If high rotational s
Rm = [((t x h) 5.630) + .04479] formula is generally recognized as an adequate guideline for
Cm = [((t x h) 4.388) + .04222] (N). Use English units only with this formula.
Metric
Rm = [((t x h) 5.630 (1.55 x 10-3)) + .04479] 25.4
6*
106* ( x D ) 1/2
( VVx xI ÷I 5A)½ 5
Cm = [(( t x h) 4.388 (1.55 x 10-3)) + .04222] 25.4 N
N== 5.595
5.5 xx10
AxD
External Ring: *Derived from English units.
Inch
Rm = [((t x h) 6.443) + .05267] SOME BACKGROUND CONSIDERATIONS
Cm = [((t x h) 3.862) + .03154]
Metric Since all rings are unique to their specific application, there ar
Rm = [((t x h) 6.443 (1.55 x 10-3)) + .05267] 25.4 retaining ring/groove is usually the last consideration evaluate
When the designer reaches the stage where the assembly dim
Cm = [(( t x h) 3.862 (1.55 x 10-3)) + .03154] 25.4
the retaining ring/groove will function is ready to be evaluated

In many cases there will a shoulder on one side of the groove

www.pspring.com
capacity than the retaining ring. The supporting shoulder dime
14 capacity. As previously noted in the Thrust Calculations sec
four times as thick as the groove depth.
 Design Example
SOME BACKGROUND EXAMPLE PROBLEM
CONSIDERATIONS In this example, the housing and groove dimensions have
Since all rings are unique to their specific application, there already been established and the task is to design an
are diverse design approaches. Practically speaking, the internal uniform constant section coiled ring.
retaining ring/groove is usually the last consideration eval-
uated, with the majority of the assembly already designed. GIVEN
When the designer reaches the stage where the assembly • Housing bore diameter (DH) = 4.000 in.
dimensional stackups are established, the space where the • Housing groove diameter (DG) = 4.170 in.
retaining ring/groove will function is ready to be evaluated.
• Shoulder width (w) = .213 in.
In many cases there will a shoulder on one side of the
• Groove width (x) = .085 in.
groove. As a rule, the ring groove has considerably less
thrust capacity than the retaining ring. The supporting • Retained part diameter (DS) = 3.985 in.
shoulder dimensions will have a major impact on the • Retained part chamfer = .015 in. x 45°
groove thrust capacity. As previously noted in the Thrust
Calculations section on page 14, the shoulder width • Thrust load exerted against retaining ring = 2,000 lbs.
should be at least four times as thick as the groove depth.
Evaluate the space envelope and try to design the groove
geometry to give the heaviest shoulder possible and still
maintain an adequate groove depth. The groove thrust
capacity can then be calculated using the formulae
given previously in the text. If the groove thrust capacity
is adequate for the application, proceed to design the
retaining ring. If the groove thrust capacity is not adequate,
evaluate the assembly stack ups to provide more material
in the shoulder and perhaps deepen the groove.
In some cases a shoulder width ratio of four cannot be Assembly Conditions
maintained. If that occurs, make appropriate concessions
and determine the maximum thrust capacity possible
within the space envelope using the appropriate formulae. FIND
Appropriate ring for this application
If adequate groove geometry with enough thrust capacity
cannot be established, a redesign of the assembly will be SOLUTION – Dimensional and Performance Evaluations
necessary.
DIMENSIONAL EVALUATION
If an existing groove geometry is provided, a large part of
the work is already done. However, still verify the groove • Establish the appropriate ring thickness (t) by dividing
thrust capacity to assure that the retaining ring design is the groove width (x) by 1.143 (see page 9).
being based on sufficient groove geometry.
t = x ÷ 1.143
t = .085 in. ÷ 1.143 = .074
• Establish the approximate ring radial width (b) by multi-
plying the groove depth (h) by three.
b = h x 3 where h = ½ (DG – DH)
h = ½ (4.170 in. – 4.000 in.) = .085 in.
b = .085 in. x 3 = .255 in.
Therefore, for the given groove condition,
b/t = .255/.074 = 3.45

(419) 867-8711
15
 Design Example
• Using the b/t value to select material, SAE 1065 hard • Maximum installed ring gap is established by adding
drawn or oil tempered steel would be appropriate. Hard .125 in. to the minimum installed gap. See the Design
drawn steel is commonly specified on lower stressed Guidelines section on page 8.
internal rings with the higher strength oil tempered
allowed as an option. The blueprint would specify a Maximum installed ring gap = .573 in. + 125 in.
Rockwell hardness of “C” 40-50 at finish for hard drawn, = .698 in.
and 43-53 for oil tempered.
• Establish the free O.D. for the ring by using 1% of
installed diameter for the interference fit as noted in the The above values can be shown on a blueprint as follows:
Design Guidelines section on page 9. One percent of
the groove diameter is .042. The .042 in. is then added
to the groove diameter to give a minimum free O.D. of
4.212 in. As noted in the Guidelines section on page
8, the free diameter tolerance should be ±.010 in. for
each inch of ring diameter, so a total of .084 in. diameter
tolerance is needed. The .084 in. total diameter toler-
ance added to the established ring minimum free O.D.
gives a maximum free O.D. of 4.296 in. Therefore, the
free O.D. range is from 4.212 in. to 4.296 in.

Minimum free O.D. = 1% (4.170 in.) + 4.170 in.

= 4.212 in. Installed Gap

Total Tolerance = ± (4.212 in. x .010) • Cutoff configurations for the gap can now be selected.
= ± .042 in. or .084 in. From the Design Guidelines section on page 10, the
Maximum free O.D. = 4.212 in. + .084 in. 30° outside angle is the preferred configuration for an
= 4.296 in. internal ring. Both ring tips will be specified as outside
angle cuts for disassembly purposes. The angle on
the configurations should therefore be specified as an
• The next consideration would be the ring gap. As this included angle with a ±10° tolerance.
is an internal ring, an installed gap will be specified
with the installed diameter being the groove diameter.
The change in diameter of the ring during installation
from the bore diameter to the groove diameter is 0.170
in. Therefore, the change in gap dimension is .534 in.
Since a minimum of .039 in. clearance between the ring
tips is recommended during installation, the minimum
installed end gap is .573 in.

Diameter change = 4.170 in. - 4.000 = .170 in. Cutoff Configuration

Ring gap change = .170 in. x π = .534 in.
Minimum installed ring gap = .534 in. + .039 in. PERFORMANCE EVALUATION
= .573 in. At this point, the ring is basically designed from the dimen-
sional standpoint and must be evaluated for function in
the assembly. A major consideration is the stress induced
in the ring during assembly. If the stress is excessive, the
ring will “set,” that is, it will plastically deform and reduce
in diameter. If the reduced ring diameter is less than the
groove diameter, the function of the ring will be greatly
impaired.

www.pspring.com
16
 4Etb f
Pg = 3
3πD

Design Example
P = [4(30
6 3
x 10 psi)(.074 in.)(.255 in.) (.296 in.)] ÷ 3π(3.999 in.)
g
3
= 72.3 lbs.

• The next concern would be the thrust capacity of the ring. Using the formula o
• Select the appropriate stress calculation formula and The sudden surge dynamic thrust capacity would be
correction factors from page 13 and check the installa- 50% of the above figure or 19,528 lbs.
T = .3(DHSSπt)
tion stress.
The calculated
3
ring sudden surge capacity is greater
Sg = fE (CFI) T= .3(4.00 in.)(140 x 10the
than psi)* (π)(.074thrust
system in.) =39,056
so thelbs. ring is adequately
b
designed.
*From the table on page 11 for hard drawn material
Solving for f and CFI: 19,528 lbs. > 2,000 lbs.
The sudden surge dynamic thrust capacity would be 50% of the above figure or 19,528
f = Maximum Free O.D. – Housing Diameter (DH) • Since the entire system is being evaluated, the designer
The calculated ring sudden
would nextsurge capacity
calculate theisthrust
greatercapacity
than the for
system
the thrust
groove so the ring
f = 4.296 in. - 4.000 in. using the formula from page 14:
19,528 lbs. > 2,000 lbs.
= .296 in Tg = .6(DHSyπh)
(CFI) = [(D/b) y] + z • Since the entire system is being evaluated, the designer would next calculate
groove First
using check the shoulder
the formula from page width
14: backing up the ring. In
the specifications, that figure is .213 in. Determine if the
D = Mean ring O.D. – b
Tg = .6(DHSyπh)shoulder width (w) to groove depth (h) ratio is equal to
D = ½ (4.212 in. + 4.296 in.) - .255 = 3.999 in. or greater than the recommended ratio of 3 minimum.
The groove
First check the shoulder depth isup.085
width backing in., Insothethe
the ring. shoulder width
specifications, that figure is .2
D/b = 3.999 in. = 15.682 shoulder width (w) to groove
ratio is: depth (h) ratio is equal to or greater than the recommende
.255 groove depth is .085 in., so the shoulder width ratio is:
Therefore, y = -6.667 x 10-4 and z = 1.570 x 10-2 w/h = .213/.085 = 2.5
w/h = .213/.085 = 2.5
CFI = [(15.682)-6.667 x 10-4] + 1.570 x 10-2 Since w/h is less than the recommended ratio of 4,
Since w/h is lesscalculate the groove thrust
than the recommended ratio ofcapacity from
4, calculate thethe adjusted
groove thrust capacity
= 5.245 x 10-3 formula on page thrust
14: formula on page 14:
Therefore, solving for Sg:
[.6(DHSyπh)]
Sg = [
(.296 in.)(30 x 106 psi)
](5.245 x 10-3) = 182,650 psi
T
Tg
g
=
.255 x 10-3 CF

In reviewing the adjusted thrust formula, note that as

In reviewing the adjusted thrust formula, note that as a first step the CF or correction fa
This stress level falls below the material’s tensile
a first step the CF or correction factor must first be
strength, thereby indicating an acceptable design.from the table, also on page 14. CF would then be calculated:
calculated from the table, also on page 14. CF would
• Next evaluate the maximum calculated radial CF then
= (-0.948 x 2.5)
load be calculated:
+ 3.856 = 1.486
exerted by the ring during the assembly process. The
CF = (-0.948 x 2.5) + 3.856 = 1.486
radial load is determined using the formula from page 13:
Substituting into the internal groove thrust equation:
3
Pg = 4Etb f
3πD3 [.6(4.000 in.)(45 x 103* psi)(π)(.085 in.)
Tg =
1.486
4(30 x 106 psi)(.074 in.)(.255 in.)3 (.296 in.)
Pg = = 19,408 lbs.
3π(3.999 in)3

= 72.3 lbs. *Cold rolled mild steel yield strength from page 11 (Ty).

• The next concern would be the thrust capacity of the

ring. Using the formula on page 14:

T = .3(DHSSπT)

T = .3(4.00 in.)(140 x 103 psi)*(π)(.074 in.) = 39,056 lbs.

*From the table on page 11 for hard drawn material

(419) 867-8711
17
 Design Example
• As with the ring, the theoretical groove thrust capacity is Tc = [(-0.060)(4.000 in.)(.074 in.) + 230]* 19,408 lbs. =
greater than the system thrust exerted. However, since 4,119 lbs.
the retained part has a chamfer that is contacting the
ring, the radial clearance will include both the .015 in. *In this case the dynamic sudden surge thrust load is used
to represent the worst case mode.
dimension of the chamfer and the .0075 in. radial wall
clearance between the housing and retained part. Since the maximum calculated radial clearance of .070
in. will have a calculated minimum thrust capacity of
Total radial clearance = .015 in. + .0075 in. = .0225 in.
4,119 lbs., be assured that the actual radial clearance
The effect of the total radial clearance will reduce the will keep the system thrust capacity well above the
theoretical thrust capacity of the ring in the assembly. actual thrust exerted by the system.
Accordingly, calculate the maximum allowed chamfer
or radius which would include clearance between the
components. This formula is also found on page 14: In summary, the retaining ring designed in this example
is only one of several possible solutions. Occasionally, it
Cm = [((t h) 4.388) + .0422] will be necessary to vary ring parameters to fit a partic-
ular groove/assembly application or vary the groove condi-
Cm = [((.074)(.085)(4.388)) + .0422] = .070 in.
tions to accommodate the ring. This trial and error process
Comparing the actual total radial clearance of .0225 in. of selecting various parameters allows alternative system
to the calculated maximum total radial clearance of .070 designs for the same application.
in. verifies that the actual radial clearance is accept-
able. When radial clearance is a concern, the corrected
Peterson Spring engineers welcome any inquiries; we
thrust capacity equation shown on page 14 is used:
can bring many years of experience to your particular
Tc = [-0.060)DHt) + .230] T design problem and help determine the most efficient
and cost-effective solutions.

Ring Standards
The following standard ring data is published by Peterson Our experienced design engineers can help you optimize
Spring as a guideline for retaining ring and groove a ring design for your specific application. If you require
assemblies. The basis for this data is the SAE-ASME design assistance, fill out the forms on pages 22 and/or 23,
USA Standard for General Purpose Rectangular Uniform and email: sales@pspring.com or fax to: (419) 867-8715.
Section Retaining Rings USA 5B27.5 – 1969. You will be contacted.

Peterson Spring can supply any of the following standard PETERSON SPRING has over 50 years of experience in
rings in quantities from a few pieces to hundreds of thou- the design and manufacture of coiled retaining rings. Let us
sands. Our comprehensive stocks of round wire section put our expertise to work for you.
and facilities for producing any size of rectangular section
enable us to meet customer requirements on a just-in-time For a FREE Technical Manual with retaining ring design
basis. data and engineering specifications, call (419) 867-8711.

www.pspring.com
18
 Type 1A01 External Retaining Rings and Grooves

SHAFT RING PERFORMANCE

DS DG x R I.D. t b G R M H T ½T Rm Cm N
RECM RECM RADIAL MAX.
NOMINAL GROOVE GROOVE GROOVE FREE I.D. SECTION THICKNESS RADIUS OR TOTAL FREE STATIC RING SURGE MAXIUMUM TOTAL
SECTION WIDTH FREE GAP DEFORMA- THRUST THRUST RADIAL CLEARANCE ROTATIONAL
SIZE RADIUS EQUIVALENT CHAMFER HEIGHT
DIA. WIDTH TION CAPACITY CAPACITY SPEED
±.005 MIN. MAX. NOMINAL MAX. MIN. MAX. MIN. MAX. MIN. MAX. MIN. MAX. MIN. Rm Cm RPM*
0.875 0.828 0.056 0.005 0.80 0.049 0.045 0.082 0.074 0.37 0.19 0.015 0.005 0.009 0.094 4845 2422 0.060 0.036 19790
0.938 0.891 0.056 0.005 0.86 0.049 0.045 0.082 0.074 0.37 0.19 0.015 0.005 0.009 0.094 5194 2597 0.060 0.036 18661
1.000 0.944 0.056 0.005 0.91 0.049 0.045 0.098 0.090 0.37 0.19 0.015 0.005 0.010 0.094 5537 2769 0.061 0.037 20593
1.062 1.006 0.056 0.005 0.98 0.049 0.045 0.098 0.090 0.37 0.19 0.015 0.005 0.011 0.094 5580 2940 0.061 0.037 19473
1.125 1.069 0.056 0.005 1.04 0.049 0.045 0.098 0.090 0.37 0.19 0.015 0.005 0.011 0.094 6229 3115 0.061 0.037 13093
1.188 1.131 0.056 0.005 1.10 0.049 0.045 0.098 0.090 0.37 0.19 0.015 0.005 0.012 0.094 6578 3289 0.061 0.037 12324
1.250 1.194 0.056 0.005 1.16 0.049 0.045 0.098 0.090 0.43 0.19 0.015 0.005 0.012 0.094 6921 3461 0.061 0.037 11898
1.312 1.256 0.056 0.005 1.22 0.049 0.045 0.098 0.090 0.43 0.19 0.015 0.005 0.013 0.094 7264 3632 0.061 0.037 11145
1.375 1.319 0.056 0.005 1.28 0.049 0.045 0.098 0.090 0.43 0.19 0.015 0.005 0.014 0.094 7613 3807 0.061 0.037 10669
1.438 1.381 0.056 0.005 1.35 0.049 0.045 0.098 0.090 0.43 0.19 0.015 0.005 0.014 0.094 7962 3981 0.061 0.037 7703
1.500 1.425 0.074 0.005 1.39 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.015 0.124 10956 5478 0.068 0.041 10168
1.562 1.488 0.074 0.005 1.45 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.016 0.124 11409 5704 0.068 0.041 9904
1.625 1.550 0.074 0.005 1.51 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.016 0.124 11869 5935 0.068 0.041 9412
1.688 1.612 0.074 0.005 1.58 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.017 0.124 12329 6164 0.068 0.041 6777
1.750 1.675 0.074 0.005 1.64 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.018 0.124 12782 6391 0.068 0.041 6703
1.812 1.738 0.074 0.005 1.70 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.018 0.124 13235 6617 0.068 0.041 6551
1.875 1.800 0.074 0.005 1.76 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.019 0.124 13695 6848 0.068 0.041 6181
1.938 1.862 0.074 0.005 1.82 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.019 0.124 14155 7078 0.068 0.041 5973
2.000 1.925 0.074 0.005 1.88 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.020 0.124 14608 7304 0.068 0.041 5759
2.062 1.988 0.074 0.005 1.95 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.021 0.124 15061 7530 0.068 0.041 4396
2.125 2.050 0.074 0.005 2.01 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.021 0.124 15521 7760 0.068 0.041 4318
2.188 2.112 0.074 0.005 2.07 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.022 0.124 15981 7990 0.068 0.041 4127
2.250 2.175 0.074 0.005 2.13 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.022 0.124 16434 8217 0.068 0.041 3750
2.312 2.238 0.074 0.005 2.20 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.023 0.124 16887 8443 0.068 0.041 3120
2.375 2.300 0.074 0.005 2.26 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.024 0.124 17347 8673 0.068 0.041 3053
2.438 2.362 0.074 0.005 2.32 0.064 0.060 0.129 0.121 0.43 0.19 0.015 0.005 0.024 0.124 17807 8903 0.068 0.041 2982
2.500 2.406 0.092 0.007 2.36 0.080 0.076 0.160 0.152 0.57 0.19 0.022 0.007 0.025 0.156 22972 11486 0.076 0.046 3784
2.562 2.469 0.092 0.007 2.42 0.080 0.076 0.160 0.152 0.57 0.19 0.022 0.007 0.026 0.156 23542 11771 0.076 0.046 3769
2.625 2.531 0.092 0.007 2.48 0.080 0.076 0.160 0.152 0.57 0.19 0.022 0.007 0.026 0.156 24121 12061 0.076 0.046 3642
2.688 2.594 0.092 0.007 2.55 0.080 0.076 0.160 0.152 0.57 0.19 0.022 0.007 0.027 0.156 24700 12350 0.076 0.046 2866
2.750 2.656 0.092 0.007 2.61 0.080 0.076 0.160 0.152 0.57 0.19 0.022 0.007 0.028 0.156 25270 12635 0.076 0.046 2814
2.812 2.719 0.092 0.007 2.67 0.080 0.076 0.160 0.152 0.57 0.19 0.022 0.007 0.028 0.156 25840 12920 0.076 0.046 2823
2.875 2.762 0.112 0.009 2.71 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.029 0.188 31838 15919 0.087 0.052 3384
2.938 2.825 0.112 0.009 2.78 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.029 0.188 32535 16268 0.087 0.052 2628
3.000 2.887 0.112 0.009 2.84 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.030 0.188 33222 16611 0.087 0.052 2615
3.062 2.950 0.112 0.009 2.90 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.031 0.188 33909 16954 0.087 0.052 2645
3.125 3.012 0.112 0.009 2.96 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.031 0.188 34606 17303 0.087 0.052 2604
3.188 3.075 0.112 0.009 3.02 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.032 0.188 35304 17652 0.087 0.052 2456
3.250 3.137 0.112 0.009 3.08 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.032 0.188 35991 17995 0.087 0.052 2565
3.312 3.200 0.112 0.009 3.15 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.033 0.188 36678 18339 0.087 0.052 2044
3.375 3.262 0.112 0.009 3.21 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.034 0.188 37375 18687 0.087 0.052 2032
3.438 3.325 0.112 0.009 3.27 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.034 0.188 38072 19036 0.087 0.052 2054
3.500 3.387 0.112 0.009 3.33 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.035 0.188 38759 19379 0.087 0.052 2028
3.562 3.450 0.112 0.009 3.39 0.097 0.091 0.193 0.183 0.57 0.19 0.022 0.007 0.036 0.188 39446 19723 0.087 0.052 2040
3.625 3.494 0.129 0.011 3.44 0.112 0.106 0.224 0.214 0.57 0.19 0.022 0.007 0.036 0.218 46550 23275 0.099 0.059 1948
3.688 3.556 0.129 0.011 3.50 0.112 0.106 0.224 0.214 0.57 0.19 0.022 0.007 0.037 0.218 47359 23679 0.099 0.059 1936
3.750 3.619 0.129 0.011 3.56 0.112 0.106 0.224 0.214 0.57 0.19 0.022 0.007 0.038 0.218 48154 24077 0.099 0.059 1963
3.812 3.681 0.129 0.011 3.62 0.112 0.106 0.224 0.214 0.57 0.19 0.022 0.007 0.038 0.218 48951 24476 0.099 0.059 1943
3.875 3.744 0.129 0.011 3.68 0.112 0.106 0.224 0.214 0.57 0.19 0.022 0.007 0.039 0.218 49760 24880 0.099 0.059 1957
3.938 3.806 0.129 0.011 3.75 0.112 0.106 0.224 0.214 0.57 0.19 0.022 0.007 0.039 0.218 50569 25284 0.099 0.059 1544
4.000 3.869 0.129 0.011 3.81 0.112 0.106 0.224 0.214 0.57 0.19 0.022 0.007 0.040 0.218 51365 25682 0.099 0.059 1580
4.125 3.975 0.147 0.014 3.91 0.128 0.122 0.255 0.245 0.57 0.19 0.022 0.007 0.041 0.250 60746 30373 0.113 0.068 1858
4.250 4.100 0.147 0.014 4.04 0.128 0.122 0.255 0.245 0.57 0.19 0.022 0.007 0.042 0.250 62586 31293 0.113 0.068 1494
4.375 4.225 0.147 0.014 4.16 0.128 0.122 0.255 0.245 0.57 0.19 0.022 0.007 0.044 0.250 64427 32213 0.113 0.068 1523
4.500 4.350 0.147 0.014 4.28 0.128 0.122 0.255 0.245 0.57 0.19 0.022 0.007 0.045 0.250 66268 33134 0.113 0.068 1536
π
4.625 4.475 0.147 0.014 4.41 0.128 0.122 0.255 0.245 0.57 0.19 0.022 0.007 0.046 0.250 68109 34054 0.113 0.068 1254
4.750 4.600 0.147 0.014 4.53 0.128 0.122 0.255 0.245 0.57 0.19 0.022 0.007 0.048 0.250 69949 34975 0.113 0.068 1279
4.875 4.725 0.147 0.014 4.66 0.128 0.122 0.255 0.245 0.57 0.19 0.022 0.007 0.049 0.250 71790 35895 0.113 0.068 1032
5.000 4.838 0.150 0.015 4.75 0.144 0.136 0.318 0.306 0.75 0.25 0.025 0.008 0.050 0.290 82467 41233 0.126 0.075 1748
5.250 5.088 0.150 0.015 5.00 0.144 0.136 0.381 0.369 0.75 0.25 0.025 0.008 0.052 0.290 86590 43295 0.126 0.075 1713
5.500 5.333 0.150 0.015 5.24 0.144 0.136 0.381 0.369 0.75 0.25 0.025 0.008 0.055 0.290 90713 45356 0.128 0.077 1590
5.750 5.578 0.150 0.015 5.48 0.144 0.136 0.381 0.369 0.75 0.25 0.025 0.008 0.057 0.290 94837 47418 0.130 0.078 1471
6.000 5.823 0.168 0.017 5.72 0.160 0.152 0.381 0.369 0.75 0.25 0.029 0.009 0.060 0.320 110270 55135 0.142 0.085 1370
6.250 6.068 0.168 0.017 5.96 0.160 0.152 0.443 0.431 0.75 0.25 0.029 0.009 0.062 0.320 114864 57432 0.146 0.088 1271
6.500 6.312 0.168 0.017 6.20 0.160 0.152 0.443 0.431 0.75 0.25 0.029 0.009 0.065 0.320 119459 59729 0.149 0.089 1349
6.750 6.557 0.168 0.017 6.44 0.160 0.152 0.443 0.431 0.87 0.25 0.029 0.009 0.067 0.320 124053 62026 0.150 0.090 1264
7.000 6.802 0.168 0.017 6.68 0.160 0.152 0.443 0.431 0.87 0.25 0.029 0.009 0.070 0.320 128648 64324 0.151 0.090 1190
7.250 7.047 0.168 0.017 6.92 0.160 0.152 0.443 0.431 0.87 0.25 0.029 0.009 0.072 0.320 133243 66621 0.155 0.093 1114
7.500 7.292 0.200 0.020 7.16 0.191 0.183 0.443 0.431 0.87 0.25 0.035 0.011 0.075 0.390 165228 82614 0.178 0.107 1055
*Based on maximum I.D. tolerances. Results are also influenced by other variables and trolerances for each example.

(419) 867-8711
19
 Type 1B01 Internal Retaining Rings and Grooves

HOUSING RING PERFORMANCE

DH DG x R O.D. t b G R M H T ½T Rm Cm
RECM RECM RADIAL
NOMINAL GROOVE GROOVE GROOVE FREE O.D. SECTION THICKNESS RADIUS OR TOTAL FREE STATIC RING SURGE MAXIUMUM TOTAL
SECTION WIDTH FREE GAP DEFORMA-
SIZE RADIUS EQUIVALENT CHAMFER HEIGHT THRUST THRUST RADIAL CLEARANCE
DIA. WIDTH TION CAPACITY CAPACITY
±.005 MIN. MAX. NOMINAL MAX. MIN. MAX. MIN. MAX. MIN. MAX. MIN. MAX. MIN. Rm Cm
0.875 0.922 0.038 0.005 0.95 0.033 0.029 0.082 0.074 0.37 0.25 0.010 0.005 0.009 0.062 3068 1534 0.049 0.045
0.938 0.984 0.038 0.005 1.01 0.033 0.029 0.082 0.074 0.37 0.25 0.010 0.005 0.009 0.062 3288 1644 0.049 0.045
1.000 1.047 0.051 0.005 1.08 0.044 0.040 0.082 0.074 0.37 0.25 0.015 0.005 0.010 0.084 5938 2969 0.050 0.047
1.062 1.109 0.051 0.005 1.14 0.044 0.040 0.082 0.074 0.37 0.25 0.015 0.005 0.011 0.084 6306 3153 0.050 0.047
1.125 1.181 0.056 0.005 1.21 0.049 0.045 0.098 0.090 0.44 0.30 0.015 0.005 0.011 0.094 7475 3738 0.052 0.048
1.188 1.244 0.056 0.005 1.28 0.049 0.045 0.098 0.090 0.44 0.30 0.015 0.005 0.012 0.094 7894 3947 0.052 0.048
1.250 1.306 0.056 0.005 1.34 0.049 0.045 0.098 0.090 0.44 0.30 0.015 0.005 0.012 0.094 8306 4153 0.052 0.048
1.312 1.369 0.056 0.005 1.40 0.049 0.045 0.098 0.090 0.44 0.30 0.015 0.005 0.013 0.094 8718 4359 0.052 0.048
1.375 1.431 0.056 0.005 1.46 0.049 0.045 0.098 0.090 0.44 0.30 0.015 0.005 0.014 0.094 9136 4568 0.052 0.048
1.438 1.494 0.056 0.005 1.53 0.049 0.045 0.098 0.090 0.44 0.30 0.015 0.005 0.014 0.094 9555 4777 0.052 0.048
1.500 1.575 0.074 0.005 1.61 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.015 0.124 13148 6574 0.058 0.052
1.562 1.638 0.074 0.005 1.67 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.016 0.124 13691 6846 0.058 0.052
1.625 1.700 0.074 0.005 1.74 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.016 0.124 14243 7122 0.058 0.052
1.688 1.762 0.074 0.005 1.80 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.017 0.124 14795 7398 0.058 0.052
1.750 1.825 0.074 0.005 1.86 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.018 0.124 15339 7669 0.058 0.052
1.812 1.888 0.074 0.005 1.93 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.018 0.124 15882 7941 0.058 0.052
1.875 1.950 0.074 0.005 1.99 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.019 0.124 16434 8217 0.058 0.052
1.938 2.012 0.074 0.005 2.05 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.019 0.124 16987 8493 0.058 0.052
2.000 2.075 0.074 0.005 2.12 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.020 0.124 17530 8765 0.058 0.052
2.062 2.138 0.074 0.005 2.18 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.021 0.124 18074 9037 0.058 0.052
2.125 2.200 0.074 0.005 2.24 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.021 0.124 18626 9313 0.058 0.052
2.188 2.262 0.074 0.005 2.30 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.022 0.124 19178 9589 0.058 0.052
2.250 2.325 0.074 0.005 2.37 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.022 0.124 19721 9861 0.058 0.052
2.312 2.388 0.074 0.005 2.45 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.023 0.124 20265 10132 0.058 0.052
2.375 2.450 0.074 0.005 2.49 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.024 0.124 20817 10409 0.058 0.052
2.438 2.512 0.074 0.005 2.56 0.064 0.060 0.129 0.121 0.60 0.40 0.015 0.005 0.024 0.124 21369 10685 0.058 0.052
2.500 2.594 0.092 0.007 2.64 0.080 0.076 0.160 0.152 0.74 0.50 0.022 0.007 0.025 0.156 27568 13784 0.065 0.058
2.562 2.656 0.092 0.007 2.70 0.080 0.076 0.160 0.152 0.74 0.50 0.022 0.007 0.026 0.156 28251 14126 0.065 0.058
2.625 2.719 0.092 0.007 2.76 0.080 0.076 0.160 0.152 0.74 0.50 0.022 0.007 0.026 0.156 28946 11473 0.065 0.058
2.688 2.781 0.092 0.007 2.83 0.080 0.076 0.160 0.152 0.74 0.50 0.022 0.007 0.027 0.156 29641 14820 0.065 0.058
2.750 2.844 0.092 0.007 2.89 0.080 0.076 0.160 0.152 0.74 0.50 0.022 0.007 0.028 0.156 30324 15162 0.065 0.058
2.812 2.906 0.092 0.007 2.95 0.080 0.076 0.160 0.152 0.74 0.50 0.022 0.007 0.028 0.156 31008 15504 0.065 0.058
2.875 2.988 0.112 0.007 3.04 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.029 0.188 38205 19103 0.074 0.065
2.938 3.050 0.112 0.007 3.10 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.029 0.188 39043 19521 0.074 0.065
3.000 3.113 0.112 0.007 3.16 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.030 0.188 39867 19933 0.075 0.066
3.062 3.175 0.112 0.007 3.23 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.031 0.188 40691 20345 0.075 0.066
3.125 3.238 0.112 0.007 3.29 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.031 0.188 41528 20764 0.075 0.066
3.188 3.300 0.112 0.007 3.35 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.032 0.188 42365 21183 0.075 0.066
3.250 3.363 0.112 0.007 3.42 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.032 0.188 43189 21595 0.075 0.066
3.312 3.425 0.112 0.007 3.48 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.033 0.188 44013 22007 0.075 0.066
3.375 3.488 0.112 0.007 3.54 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.034 0.188 44850 22425 0.075 0.066
3.438 3.550 0.112 0.007 3.60 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.034 0.188 45687 22844 0.075 0.066
3.500 3.613 0.112 0.007 3.67 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.035 0.188 46511 23256 0.075 0.066
3.562 3.675 0.112 0.007 3.73 0.097 0.091 0.193 0.183 0.91 0.60 0.022 0.007 0.036 0.188 47335 23668 0.075 0.066
3.625 3.756 0.129 0.007 3.81 0.112 0.106 0.224 0.214 1.07 0.70 0.022 0.007 0.036 0.218 55859 27930 0.085 0.074
3.688 3.819 0.129 0.007 3.88 0.112 0.106 0.224 0.214 1.07 0.70 0.022 0.007 0.037 0.218 56830 28415 0.085 0.074
3.750 3.881 0.129 0.007 3.94 0.112 0.106 0.224 0.214 1.07 0.70 0.022 0.007 0.038 0.218 57786 28893 0.085 0.074
3.812 3.944 0.129 0.007 4.00 0.112 0.106 0.224 0.214 1.07 0.70 0.022 0.007 0.038 0.218 58741 29371 0.085 0.074
3.875 4.006 0.129 0.007 4.07 0.112 0.106 0.224 0.214 1.07 0.70 0.022 0.007 0.039 0.218 59712 29856 0.085 0.074
3.938 4.069 0.129 0.007 4.13 0.112 0.106 0.224 0.214 1.07 0.70 0.022 0.007 0.039 0.218 60683 30341 0.085 0.074
4.000 4.131 0.129 0.007 4.19 0.112 0.106 0.224 0.214 1.07 0.70 0.022 0.007 0.040 0.218 61638 30819 0.085 0.074
4.125 4.275 0.147 0.007 4.34 0.128 0.122 0.255 0.245 1.24 0.80 0.022 0.007 0.041 0.250 72895 36447 0.098 0.083
4.250 4.400 0.147 0.007 4.46 0.128 0.122 0.255 0.245 1.24 0.80 0.022 0.007 0.042 0.250 75104 37552 0.098 0.083
4.375 4.525 0.147 0.007 4.59 0.128 0.122 0.255 0.245 1.24 0.80 0.022 0.007 0.044 0.250 77313 38656 0.098 0.083
4.500 4.650 0.147 0.007 4.72 0.128 0.122 0.255 0.245 1.24 0.80 0.022 0.007 0.045 0.250 79522 39761 0.098 0.083
4.625 4.775 0.147 0.007 4.84 0.128 0.122 0.255 0.245 1.24 0.80 0.022 0.007 0.046 0.250 81731 40865 0.098 0.083
4.750 4.900 0.147 0.007 4.97 0.128 0.122 0.255 0.245 1.24 0.80 0.022 0.007 0.048 0.250 83940 41970 0.098 0.083
4.875 5.025 0.147 0.007 5.09 0.128 0.122 0.255 0.245 1.24 0.80 0.022 0.007 0.049 0.250 86149 43074 0.098 0.083
5.000 5.169 0.147 0.009 5.24 0.144 0.138 0.286 0.276 1.40 0.90 0.029 0.009 0.050 0.282 99667 49834 0.112 0.094
5.125 5.313 0.147 0.009 5.363 0.144 0.138 0.286 0.276 1.40 0.90 0.029 0.009 0.052 0.282 102159 51079 0.119 0.100
5.250 5.438 0.147 0.009 5.488 0.144 0.138 0.286 0.276 1.40 0.90 0.029 0.009 0.053 0.282 104651 52325 0.119 0.100
5.375 5.563 0.147 0.009 5.618 0.144 0.138 0.286 0.276 1.40 0.90 0.029 0.009 0.054 0.282 107142 53571 0.119 0.100
5.500 5.688 0.147 0.009 5.748 0.144 0.138 0.286 0.276 1.65 1.10 0.029 0.009 0.055 0.282 109634 54817 0.119 0.100
5.625 5.813 0.147 0.009 5.873 0.144 0.138 0.286 0.276 1.65 1.10 0.029 0.009 0.057 0.282 112126 56063 0.119 0.100
5.750 5.938 0.150 0.009 6.003 0.144 0.138 0.286 0.276 1.65 1.10 0.029 0.009 0.058 0.282 114617 57309 0.119 0.100
5.875 6.083 0.168 0.010 6.143 0.159 0.153 0.317 0.307 1.65 1.10 0.032 0.010 0.059 0.316 129568 64784 0.136 0.113
6.000 6.208 0.168 0.010 6.268 0.159 0.153 0.317 0.307 1.80 1.20 0.032 0.010 0.060 0.316 132324 66162 0.136 0.113
6.250 6.458 0.168 0.010 6.523 0.159 0.153 0.317 0.307 1.80 1.20 0.032 0.010 0.063 0.316 137838 68919 0.136 0.113
6.500 6.750 0.168 0.010 6.815 0.159 0.153 0.380 0.370 1.95 1.30 0.032 0.010 0.065 0.316 143351 71676 0.154 0.128
6.750 7.000 0.168 0.010 7.070 0.159 0.153 0.380 0.370 1.95 1.30 0.032 0.010 0.068 0.316 148865 74432 0.154 0.128
7.000 7.250 0.200 0.012 7.310 0.190 0.184 0.380 0.370 2.10 1.40 0.038 0.012 0.070 0.380 185056 92528 0.176 0.145
7.250 7.500 0.200 0.012 7.560 0.190 0.184 0.380 0.370 2.10 1.40 0.038 0.012 0.073 0.380 191665 95833 0.176 0.145
7.500 7.790 0.200 0.012 7.860 0.190 0.184 0.442 0.432 2.25 1.40 0.038 0.012 0.075 0.380 198274 99137 0.197 0.161
8.000 8.290 0.200 0.012 8.375 0.190 0.184 0.442 0.432 2.40 1.50 0.038 0.012 0.080 0.400 211493 105746 0.197 0.161
8.500 8.790 0.200 0.012 8.900 0.190 0.184 0.442 0.432 2.55 1.50 0.038 0.012 0.085 0.400 224711 112355 0.197 0.161
9.000 9.332 0.200 0.012 9.457 0.190 0.184 0.505 0.495 2.70 1.60 0.038 0.012 0.090 0.400 237929 118965 0.220 0.178
9.500 9.832 0.200 0.012 9.957 0.190 0.184 0.505 0.495 2.85 1.70 0.038 0.012 0.095 0.400 251147 125574 0.220 0.178
10.000 10.332 0.200 0.012 10.457 0.190 0.184 0.505 0.495 3.00 1.80 0.038 0.012 0.100 0.400 264366 132183 0.220 0.178

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 Customer:________________________________________________
Retaining Ring Part Number: _________________________________
Assembly Name/Nomenclature:_______________________________
________________________________________________________
B/P Date/Revision No:_______________________________________
1625 Commerce Road

(419) 867-8711
Date:____________________________________________________
Holland, OH 43528
Phone: (419) 867-8711 • FAX: (419) 867-8715 Customer Engineering Contact:_______________________________
Tel:________________________ Fax:__________________________

INTERNAL RETAINING RING APPLIOCATION INFORMATION SHEET

21
Information Sheet for General Inquiries
 www.pspring.com
Customer:________________________________________________
Retaining Ring Part Number: _________________________________
Assembly Name/Nomenclature:_______________________________
Information Sheet for General Inquiries

________________________________________________________
B/P Date/Revision No:_______________________________________
1625 Commerce Road
Date:____________________________________________________
Holland, OH 43528
Phone: (419) 867-8711 • FAX: (419) 867-8715 Customer Engineering Contact:_______________________________
Tel:________________________ Fax:__________________________
EXTERNAL RETAINING RING APPLIOCATION INFORMATION SHEET

22
 Notes

(419) 867-8711
23
Notes

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Engineering & Manufacturing
Maumee Plant
1625 Commerce Road
Holland, OH 43528
Phone: (419) 867-8711
FAX: (419) 867-8715
www.pspring.com www.pspring.com