ASTM F708-92(2004)
(Practice)Standard Practice for Design and Installation of Rigid Pipe Hangers
Standard Practice for Design and Installation of Rigid Pipe Hangers
ABSTRACT
This practice covers acceptable methods of fabricating and installing rigid pipe hangers used to support shipboard piping systems, it provides guidance for the design of hanger caps, straps and standoffs, selection of hanger and hanger liner materials, hanger bolting, and hanger spacing. The pipe hanger style includes: split cap hanger, 3strap hanger, welded hanger, U-bolt hanger, J band type hanger, Nelson hanger, clamp hanger assembled with mounting channel, poly-block twin clamp hanger, crimp-on weld stud-type hangers, banded weld stud-type hanger, and poly-block single-clamp hanger. Guidance in determining pipe hanger spacing are provided. Special consideration should be given to areas of concentrated loads, such as risers, valves, or groups of fittings, and to piping configurations that could create rotational forces. Hangers need not be lined unless the hanger and pipe are of dissimilar material. All hanger bolts within tanks or other inaccessible areas shall be secured with lock nuts, lock washers, or by some other means. Pipe hangers and standoffs located in areas subject to corrosion, such as in bilges, ballast tanks, and areas exposed to the weather, should be zinc-plated or blasted and coated with inorganic zinc or coated with the same material as that of the surrounding area. Standoffs fabricated from pipe should not be used within tanks. Consideration should be given to thermal growth of the piping when selecting or locating hangers so as not to overstress the piping or hangers.
SCOPE
1.1 This practice covers acceptable methods of fabricating and installing rigid pipe hangers used to support shipboard piping systems with temperatures of 650F (343C) or less.
1.2 This practice provides guidance for the design of hanger caps, straps and standoffs, selection of hanger and hanger liner materials, hanger bolting, and hanger spacing.
1.3 Other hanger designs may be used provided they result in an adequately supported vibration-free piping system and are compatible with the intended system service and temperature limitations.
1.4 The values stated in inch-pound units are to be regarded as the standard. The values given in parentheses are for information only.
This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.
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An American National Standard
Designation:F 708–92 (Reapproved 2004)
Standard Practice for
Design and Installation of Rigid Pipe Hangers
This standard is issued under the fixed designation F 708; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (e) indicates an editorial change since the last revision or reapproval.
This standard has been approved for use by agencies of the Department of Defense.
1. Scope 3.1.2 rider bar—a protective strip of material installed
between the pipe and the hanger where frequent linear move-
1.1 This practice covers acceptable methods of fabricating
ment of the pipe is expected.
and installing rigid pipe hangers used to support shipboard
3.1.3 rigid pipe hanger—a device that transfers the load
piping systems with temperatures of 650°F (343°C) or less.
imposed by the piping, insulation, and system medium to the
1.2 This practice provides guidance for the design of hanger
supporting structure.
caps, straps and standoffs, selection of hanger and hanger liner
3.1.4 standoff—the rigid member that connects the hanger
materials, hanger bolting, and hanger spacing.
strap, saddle, or band to the supporting structure. A standoff is
1.3 Other hanger designs may be used provided they result
usually made up of one or more pieces of flat bar, pipe, angle
in an adequately supported vibration-free piping system and
bar, or flanged plate to suit a specific location.
are compatible with the intended system service and tempera-
ture limitations.
4. List of Pipe Hanger Styles
1.4 The values stated in inch-pound units are to be regarded
4.1 This practice incorporates 26 pipe hanger assemblies as
as the standard. The values given in parentheses are for
shown on Figs. 1-12(c) as follows:
information only.
Hanger Fig. No.
1.5 This standard does not purport to address all of the
safety concerns, if any, associated with its use. It is the
Split cap hanger (single leg standoff) 1(a)
responsibility of the user of this standard to establish appro-
Split cap hanger (dual leg standoff) 1(b)
priate safety and health practices and determine the applica-
Split cap hanger (chair type) 1(c)
bility of regulatory limitations prior to use.
Strap hanger 2(a)
Strap hanger (assembled for clearance with rider bar) 2(b)
2. Referenced Documents
Strap hanger (assembled for clearance with TFE-fluorocarbon 2(c)
2 strip)
2.1 ASTM Standards:
Welded hanger (flat bar U-type) 3(a)
A 307 Specification for Carbon Steel Bolts and Studs,
Welded hanger (round bar U-type) 3(b)
60 000 PSI Tensile Strength
Welded hanger (square bar U-type) 3(b)
U-bolt hanger 4(a)
3. Terminology
U-bolt hanger (assembled for clearance with rider bar) 4(b)
3.1 Definitions: U-bolt hanger (assembled for clearance with TFE-fluorocarbon 4(c)
strip)
3.1.1 liner—the material used to isolate a pipe from its
Welded hanger (single leg standoff welded direct to pipe) 5(a)
hanger.
Welded hanger (dual leg standoff welded direct to pipe) 5(b)
“J” band type hanger (insulated pipe) 6(a)
“J” band type hanger (bare pipe) 6(b)
Nelsont hanger 7
This practice is under the jurisdiction of ASTM Committee F25 on Ships and
Marine Technology and is the direct responsibility of Subcommittee F25.11 on Clamp hanger assembled with mounting channel 8
4,5
Machinery and Piping Systems.
Poly-block twin clamp hanger (assembled with welding plate) 9(a)
4,5
Current edition approved May 1, 2004. Published May 2004. Originally
Poly-block twin clamp hanger (assembled with welding stud) 9(b)
approved in 1981. Last previous edition approved in 1997 as F 708 – 92 (1997). 4,5
Poly-block twin clamp hanger (assembled with mounting channel) 9(c)
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
Crimp-on weld stud-type hangers 10
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
Banded weld stud-type hanger 11
Standards volume information, refer to the standard’s Document Summary page on
Poly-block single-clamp hanger (assembled with welding plate) 12(a)
the ASTM website.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
F 708–92 (2004)
7. Application and Limitations
Poly-block single-clamp hanger (assembled with welding stud) 12(b)
Poly-block single-clamp hanger (assembled with mounting channel) 12(c)
7.1 Unless otherwise noted, application and limitations on
the use of various style hangers should be as noted with each
5. Hanger Designs
hanger detail.
5.1 Figs. 1-5 and Fig. 6(a) hangers are designs generally
manufactured by shipyards or their subcontractors. See also
8. Hanger Spacing
Tables 1-6.
5.2 Fig. 6, Fig. 8, Fig. 10, and Fig. 11 hangers are commer- 8.1 Table 8 provides general guidance in determining pipe
hanger spacing. Special consideration should be given to areas
cially available from various vendors. Fig. 8, Fig. 10, and Fig.
11 hangers are primarily designed for use in supporting of concentrated loads, such as risers, valves, or groups of
fittings, and to piping configurations that could create rota-
electrical cables, but are suitable for hanging small size pipe
and tubing. tional forces.
5.2.1 The Fig. 7 hanger is a specific design that has been
patented by Nelson Division of TRW. 9. General Requirements
,
4 5
5.2.2 The Fig. 9 and Fig. 12 hangers are primarily
9.1 The following general requirements and conditions are
designed for use when supporting multiple runs of pipe or
applicable to all styles of hangers:
tubing.
9.1.1 Hangers need not be lined unless the hanger and pipe
are of dissimilar material, or when the system internal operat-
6. Materials and Manufacture
ing temperature is 300°F (149°C) and over, or 50°F (10°C) and
6.1 Hanger materials for straps, saddles, and U-bolts for
under and the heat transmitted to the other side of the structure
Figs. 1-5 hangers and standoffs should be fabricated from
to which the hanger is attached may be objectionable. For
commercial quality carbon steel. The steel should be a weld-
hanger liner materials, see 6.5.
able grade with a minimum tensile strength of 47 ksi (324
9.1.2 All hanger bolts within tanks or other inaccessible
MPa) and capable of being bent at room temperature through
areas shall be secured with lock nuts, lock washers, or by some
90° to an inside radius equal to the material thickness without
other means.
cracking on the outside of the bend.
9.1.3 Pipe hangers and standoffs located in areas subject to
6.2 Hangers in Fig. 1, Fig. 6, Fig. 7, Fig. 10, and Fig. 11 are
corrosion, such as in bilges, ballast tanks, and areas exposed to
generally manufactured from carbon steel. Fig. 8 is furnished
the weather, should be zinc-plated or blasted and coated with
in carbon steel and stainless steel. Fig. 9 and Fig. 12 hanger
inorganic zinc or coated with the same material as that of the
clamp halves are injected molded plastic furnished with carbon
surrounding area.
steel or stainless steel hardware.
9.1.4 Standoffs fabricated from pipe should not be used
6.3 Bands and buckles for Fig. 6 and Fig. 11 hangers should
within tanks.
be carbon steel electroplated zinc or stainless steel.
9.1.5 Wherethermalgrowthofpipingexceeds0.100in.(2.5
6.4 Hanger bolts and nuts should be regular series hex type
electroplated zinc with unified national coarse threads Class 2 mm) or long runs of pipe are affected by ship flexing, such as
long runs on the weather deck, or long runs in longitudinal
fit in accordance with Specification A 307, Grade B.
6.5 Table 7 is a listing of hanger liner materials generally passageways, a metal rider bar attached to the pipe or a
TFE-fluorocarbon wear strip should be used in conjunction
used to isolate the pipe from the hanger (see 9.1.1).
with a clearance type hanger, or other means should be
provided to prevent chaffing of the pipe.
The sole source of supply of the apparatus known to the committee at this time
9.1.6 Consideration should be given to thermal growth of
is TRW Nelson Div., Toledo Ave. and E. 28th St., Lorain, OH 44055. If you are
the piping when selecting or locating hangers so as not to
aware of alternative suppliers, please provide this information to ASTM Interna-
tional Headquarters. Your comments will receive careful consideration at a meeting overstress the piping or hangers.
of the responsible technical committee , which you may attend.
9.1.7 Nonmetallic pipe should be hung in accordance with
The sole source of supply of the apparatus known to the committee at this time
the manufacturer’s recommendations.
is Stauff Corp., 41 Newman St., Hackensack, NJ 07601. If you are aware of
alternative suppliers, please provide this information to ASTM International
Headquarters.Your comments will receive careful consideration at a meeting of the
10. Workmanship, Finish, and Appearance
responsible technical committee , which you may attend.
The sole source of supply of the poly-block hangers known to the committee at 10.1 Finished hanger components shall have a workman-
this time is Behringer Corp., 108 Jabez St., Newark, NJ 07105. If you are aware of
like appearance and be free of cracks or other injurious defects.
alternative suppliers, please provide this information to ASTM International
Surface scale, rust, welding slag, or any foreign material (such
Headquarters.Your comments will receive careful consideration at a meeting of the
as oil) shall be removed before painting or coating.
responsible technical committee , which you may attend.
F 708–92 (2004)
TABLE 1 Dimensions for Split Cap Hangers (Fig. 1)
AB C D E F G H J K M
Centerline Size of Standoff
of Centerline Clear- Centerline
Copper Inside
Schedule
Size of Pipe to of ance Bolt Di- of
Nominal Water Diam- Height Length, Size of
80 Nom-
Flat Bar, Centerline Bolt to at Bolts ameter, Bolt to
Flat Bar,
Pipe Tube eter of of Strap, max, Weld,
inal Pipe Angle Bar,
min, of End of (without min, Hanger
A A
min,
Size, in. Size, Strap, in. in. A in.
A A
Size, min, in.
in. Bolt, Strap, liner), in. Leg,
A
A
in.
in. in.
A A A
min,
min, in. in. in.
A
A
in.
in.
3 1 3 3 15 3 5 1 1 1 3 3 1 3 3 1 1
... ⁄8 ⁄8 x ⁄4 ⁄4 ⁄16 ⁄16 ⁄16 ⁄8 ⁄4 ⁄2 6 ⁄16 x ⁄4 ⁄2 ⁄4 x ⁄4 x ⁄8 ⁄8
1 1 3 13 15 13 5 1 1 1 3 3 1 3 3 1 1
⁄4 . ⁄8 x ⁄4 ⁄16 ⁄16 ⁄64 ⁄16 ⁄8 ⁄4 ⁄2 6 ⁄16 x ⁄4 ⁄2 ⁄4 x ⁄4 x ⁄8 ⁄8
1 1 3 7 1 5 1 1 1 3 3 1 3 3 1 1
... ⁄2 ⁄8 x ⁄4 ⁄8 1 ⁄4 ⁄16 ⁄8 ⁄4 ⁄2 6 ⁄16 x ⁄4 ⁄2 ⁄4 x ⁄4 x ⁄8 ⁄8
3 1 3 15 9 5 1 1 1 3 3 1 3 3 1 1
⁄8 . ⁄8 x ⁄4 ⁄16 1 ⁄32 ⁄16 ⁄8 ⁄4 ⁄2 6 ⁄16 x ⁄4 ⁄2 ⁄4 x ⁄4 x ⁄8 ⁄8
5 1 3 1 5 5 1 1 1 3 3 1 3 3 1 1
... ⁄8 ⁄8 x ⁄4 11 ⁄16 ⁄16 ⁄16 ⁄8 ⁄4 ⁄2 6 ⁄16 x ⁄4 ⁄2 ⁄4 x ⁄4 x ⁄8 ⁄8
1 1 3 1 1 23 5 1 1 1 3 3 1 3 3 1 1
⁄2 . ⁄8 x ⁄4 1 ⁄8 1 ⁄8 ⁄64 ⁄16 ⁄8 ⁄4 ⁄2 6 ⁄16 x ⁄4 ⁄2 ⁄4 x ⁄4 x ⁄8 ⁄8
3 1 3 1 1 3 5 1 1 1 3 3 1 3 3 1 1
... ⁄4 ⁄8 x ⁄4 1 ⁄8 1 ⁄8 ⁄8 ⁄16 ⁄8 ⁄4 ⁄2 6 ⁄16 x ⁄4 ⁄2 ⁄4 x ⁄4 x ⁄8 ⁄8
3 1 5 1 15 3 1 5 5 1 3 1 1
⁄4 . ⁄8 x1 1 ⁄16 1 ⁄4 ⁄32 ⁄8 ⁄8 ⁄16 ⁄8 6 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄8
1 3 1 1 3 1 5 5 1 3 1 1
... 1 ⁄8 x1 1 ⁄8 1 ⁄4 ⁄2 ⁄8 ⁄8 ⁄16 ⁄8 6 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄8
1 9 3 19 3 1 5 5 1 3 1 1
1 . ⁄8 x1 1 ⁄16 1 ⁄8 ⁄32 ⁄8 ⁄8 ⁄16 ⁄8 6 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄8
1 1 5 3 5 3 1 5 5 1 3 1 1
... 1 ⁄4 ⁄8 x1 1 ⁄8 1 ⁄8 ⁄8 ⁄8 ⁄8 ⁄16 ⁄8 6 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄8
1 1 7 9 3 3 1 5 5 1 3 1 1
... 1 ⁄2 ⁄8 x1 1 ⁄8 1 ⁄16 ⁄4 ⁄8 ⁄8 ⁄16 ⁄8 6 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄8
1 1 15 9 49 3 1 5 5 1 3 1 1
1 ⁄4 . ⁄8 x1 1 ⁄16 1 ⁄16 ⁄64 ⁄8 ⁄8 ⁄16 ⁄8 6 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄8
1 1 5 11 57 3 1 5 5 1 3 1 1
1 ⁄2 . ⁄8 x1 2 ⁄16 1 ⁄16 ⁄64 ⁄8 ⁄8 ⁄16 ⁄8 6 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄8
1 3 13 3 1 5 5 1 3 1 1
... 2 ⁄8 x1 2 ⁄8 1 ⁄16 1 ⁄8 ⁄8 ⁄16 ⁄8 6 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄8
1 5 1 3 1 5 5 1 3 1 1
2 . ⁄8 x1 2 ⁄8 21 ⁄8 ⁄8 ⁄8 ⁄16 ⁄8 6 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄8
1 1 7 1 1 7 1 3 3 1 3 1 1
... 2 ⁄2 ⁄4 x1 2 ⁄8 2 ⁄4 1 ⁄4 ⁄16 ⁄8 ⁄8 ⁄4 6 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄8
1 1 1 3 5 7 1 3 3 1 3 1 5
2 ⁄2 . ⁄4 x1 3 ⁄8 2 ⁄8 1 ⁄16 ⁄16 ⁄4 ⁄8 ⁄4 8 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄32
1 3 1 7 7 1 3 3 1 3 1 5
... 3 ⁄4 x1 3 ⁄8 2 ⁄2 1 ⁄16 ⁄16 ⁄4 ⁄8 ⁄4 8 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄32
1 3 11 5 7 1 3 3 1 3 1 5
... ... ⁄4 x1 3 ⁄4 2 ⁄16 1 ⁄8 ⁄16 ⁄4 ⁄8 ⁄4 8 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄32
1 1 7 13 11 7 1 3 3 1 3 1 5
... 3 ⁄2 ⁄4 x1 3 ⁄8 2 ⁄16 1 ⁄16 ⁄16 ⁄4 ⁄8 ⁄4 8 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄32
1 1 1 15 7 7 1 3 3 1 3 1 5
3 ⁄2 . ⁄4 x1 4 ⁄4 2 ⁄16 1 ⁄8 ⁄16 ⁄4 ⁄8 ⁄4 8 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄32
1 1 3 1 15 7 1 3 3 1 3 1 5
... 4 ⁄4 x1 ⁄4 4 ⁄8 3 ⁄4 1 ⁄16 ⁄16 ⁄4 ⁄8 ⁄4 10 ⁄4 x1 ⁄4 1x1x ⁄4 ⁄32
1 1 3 3 1 9 3 1 1 1 1 1 1 5
4 . ⁄4 x1 ⁄4 4 ⁄4 3 ⁄8 2 ⁄16 ⁄16 ⁄8 ⁄2 110 ⁄4 x1 ⁄4 11 ⁄4 x1 ⁄4 x ⁄4 ⁄32
1 1 13 15 19 9 3 1 1 1 1 1 1 5
5 . ⁄4 x1 ⁄4 5 ⁄16 3 ⁄16 2 ⁄32 ⁄16 ⁄8 ⁄2 110 ⁄4 x1 ⁄4 11 ⁄4 x1 ⁄4 x ⁄4 ⁄32
1 7 1 1 9 3 1 1 3 5
6 . ⁄4 x2 6 ⁄8 4 ⁄2 3 ⁄8 ⁄16 ⁄8 ⁄2 112 ⁄4 x2 1 2x2x ⁄8 ⁄32
1 7 3 1 3 3 5 1 1 1 3 3
8 . ⁄4 x2 8 ⁄8 5 ⁄8 4 ⁄8 ⁄4 ⁄8 ⁄8 1 ⁄4 12 ⁄4 x2 1 ⁄2 2x2x ⁄8 ⁄16
3 7 1 3 1 5 1 3 1 3 3
10 . ⁄8 x2 11 6 ⁄8 5 ⁄8 ⁄4 ⁄2 ⁄8 1 ⁄4 14 ⁄8 x2 1 ⁄2 2x2x ⁄8 ⁄16
3 7 1 3 1 5 1 3 1 3 3
12 . ⁄8 x2 13 7 ⁄8 6 ⁄8 ⁄4 ⁄2 ⁄8 1 ⁄4 14 ⁄8 x2 1 ⁄2 2x2x ⁄8 ⁄16
1 1 3 11 7 5 3 1 1 1 3 3
14 . ⁄2 x2 14 ⁄4 8 ⁄4 6 ⁄16 ⁄8 ⁄8 ⁄4 1 ⁄2 14 ⁄2 x2 1 ⁄2 2x2x ⁄8 ⁄16
1 1 3 11 7 5 3 1 1 1 3 3
16 . ⁄2 x2 16 ⁄4 9 ⁄4 7 ⁄16 ⁄8 ⁄8 ⁄4 1 ⁄2 14 ⁄2 x2 1 ⁄2 2x2x ⁄8 ⁄16
1 1 1 11 5 7 3 1 1 1 1 3 7
18 . ⁄2 x2 ⁄2 18 ⁄4 11 8 ⁄16 1 ⁄8 ⁄8 1 ⁄4 14 ⁄2 x2 ⁄2 22 ⁄2 x2 ⁄2 x ⁄8 ⁄32
1 1 1 11 5 7 3 1 1 1 1 3 7
20 . ⁄2 x2 ⁄2 20 ⁄4 12 9 ⁄16 1 ⁄8 ⁄8 1 ⁄4 14 ⁄2 x2 ⁄2 22 ⁄2 x2 ⁄2 x ⁄8 ⁄32
1 1 1 11 1 5 1 1 3 7
22 . ⁄2 x3 22 ⁄4 13 ⁄8 10 ⁄16 1 ⁄8 ⁄8 12 14 ⁄2 x3 2 ⁄2 3x3x ⁄8 ⁄32
1 1 1 11 1 5 1 1 3 7
24 . ⁄2 x3 24 ⁄4 14 ⁄8 11 ⁄16 1 ⁄8 ⁄8 12 14 ⁄2 x3 2 ⁄2 3x3x ⁄8 ⁄32
A
1 in. = 25.4 mm.
F 708–92 (2004)
TABLE 2 Dimensions for Strap Hangers (Fig. 2)
C
E
A B Centerline of Pipe to D F
Nominal Pipe Centerline of Bolt
Size of Flat Bar, Inside Radius Centerline Height of Strap, Bolt Diameter, min,
Size, in. to End of Strap,
A A A A
min, in. of Strap, in. of Bolt, min, in. in.
A
in.
A
in.
1 1 3 13 15 1 5 1
⁄4 ⁄8 3 ⁄4 ⁄32 ⁄16 ⁄2 ⁄16 ⁄4
3 1 3 15 5 5 1
⁄8 ⁄8 3 ⁄4 ⁄32 1 ⁄8 ⁄16 ⁄4
1 1 3 9 1 51 5 1
⁄2 ⁄8 3 ⁄4 ⁄16 1 ⁄8 ⁄64 ⁄16 ⁄4
3 1 21 1 3 5
⁄4 ⁄8 3 1 ⁄32 1 ⁄4 1 ⁄8 ⁄16
1 25 3 1 3 5
1 ⁄8 3 1 ⁄32 1 ⁄8 1 ⁄4 ⁄8 ⁄16
1 1 31 9 19 3 5
1 ⁄4 ⁄8 3 1 ⁄32 1 ⁄16 1 ⁄32 ⁄8 ⁄16
1 1 3 11 13 3 5
1 ⁄2 ⁄8 311 ⁄32 1 ⁄16 1 ⁄16 ⁄8 ⁄16
1 5 13 3 5
2 ⁄8 311 ⁄16 22 ⁄16 ⁄8 ⁄16
1 1 9 3 5 7 3
2 ⁄2 ⁄4 311 ⁄16 2 ⁄8 2 ⁄8 ⁄16 ⁄8
1 7 11 1 7 3
3 ⁄4 311 ⁄8 2 ⁄16 3 ⁄4 ⁄16 ⁄8
1 1 1 15 3 7 3
3 ⁄2 ⁄4 312 ⁄8 2 ⁄16 3 ⁄4 ⁄16 ⁄8
1 1 3 3 3 9 1
4 ⁄4 3 1 ⁄4 2 ⁄8 3 ⁄8 4 ⁄16 ⁄16 ⁄2
1 1 29 15 1 9 1
5 ⁄4 3 1 ⁄4 2 ⁄32 3 ⁄16 5 ⁄4 ⁄16 ⁄2
1 7 1 5 9 1
6 ⁄4 323 ⁄16 4 ⁄2 6 ⁄16 ⁄16 ⁄2
1 7 3 5 3 5
8 ⁄4 324 ⁄16 5 ⁄8 8 ⁄16 ⁄4 ⁄8
3 1 7 1 3 5
10 ⁄8 325 ⁄2 6 ⁄8 10 ⁄4 ⁄4 ⁄8
3 1 7 1 3 5
12 ⁄8 326 ⁄2 7 ⁄8 12 ⁄4 ⁄4 ⁄8
1 1 3 3 7 3
14 ⁄2 327 ⁄8 8 ⁄4 13 ⁄8 ⁄8 ⁄4
1 1 3 3 7 3
16 ⁄2 328 ⁄8 9 ⁄4 15 ⁄8 ⁄8 ⁄
...
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