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How to Load Parts in Furnace Baskets
Because parts come in all shapes
and sizes, standard heat treating
furnaces have been designed to ac-
commodate most any workload con-
figuration (Table 1). A loading
arrangement generally falls into one
of two classes: weight limited or
volume limited. In either case, when
loading parts in furnace baskets or
onto racks the goal is often to maxi-
mize loading efficiency. However,
heat treaters must also be concerned
with proper part spacing; that is, po-
sitioning parts within the load for op-
timal heat transfer, atmosphere circu-
lation, temperature uniformity, and
heat extraction during quenching to
minimize distortion. Despite the al-
most limitless choices, some com-
monsense rules apply.
Furnace factor: How parts are
loaded is very much a function of the
style of furnace being used. Rectan-
gular baskets designed for stacking or
nesting (Fig. 1) are commonly used in
integral quench furnaces. These are
typically placed atop carrier grids. Pit
furnaces use cylindrical baskets, often
with solid sides (Fig. 2) to promote cir-
culation. In some instances, parts are
loaded onto fixtures consisting of mul-
tiple grids with a center post — a
“Christmas tree” arrangement (Fig.
3). Parts loaded in pusher-style fur-
naces can be placed directly on the
grid, in racks, or in segmented frames
About the columnist . . .
Daniel H. Herring is president of The
Herring Group Inc., Elmhurst, Ill., a business
specializing in practical solutions to problems
facing the heat treating and sintering
industries (Web: www.
heat-treat-doctor.com).
Dan Herring has spent
more than 25 years
working for furnace equip-
ment manufacturers in a
variety of roles, including
senior management and
new business development.
Now an independent entrepreneur, Dan
lectures, writes, teaches, and consults. A fre-
quent speaker at local, national, and interna-
tional conferences, he is dedicated to advancing
the state of the art in thermal processing.
He has published more than 100 technical
papers, written three books, and contributes
to Heat Treating Progress and other in-
dustry publications.
Dan’s credentials include his appointment
as a research associate professor at the Ther-
mal Processing Technology Center, Illinois In-
stitute of Technology, Chicago. He also is active
on several HTS Committees.
HEAT TREATING PROGRESS • NOVEMBER/DECEMBER 2003 17
Generic and practical information presented
here is not intended to replace or supplement
federal, state, and local codes, government
standards, insurance requirements, company
policies and procedures, or common sense. In
addition, all equipment manufacturers’ in-
structions and operating and maintenance
manuals should always be thoroughly read
and followed. Further, personnel training
should be provided unequivocally to everyone
who will be associated with operating such
equipment.
®
Table 1 — Common furnace workload sizes
Furnace style Width, in. Length, in. Height, in.
Integral quench 24 36 18
24 36 24
30 48 30
36 48 30
36 48 36
36 72 36
48 72 36
Pusher 12 12 22
22 22 24
24 24 24
24 36 24
27.5 27.5 24
30 30 30
36 36 30
Diameter, in. Depth, in. —
Pit 12–120 12–192 —
Fig. 1 — Baskets of precision-machined AISI/SAE 8620 (UNS G86200) steel plates will be
carburized and oil quenched in a batch integral quench furnace. The parts baskets are made of
AISI 330 (UNS N08330), an austenitic Ni-Cr-Fe-Si alloy combining resistance to carburization
and oxidation at temperatures to 2200°F (1200°C) with high strength. Photo courtesy Specialty Heat
Treating Inc., Grand Rapids, Mich. (www.specialtyheat.com).
1203htdr.qxd 11/16/03 4:37 PM Page 1
having crossmembers that can be
added or removed as dictated by the
geometry of the part to allow for
hanging or support (Fig. 4).
Determining part spacing
The orientation of parts in the work-
load is very important when trying to
minimize distortion in heat treatment.
When loading baskets, imagine that
each part occupies a cylindrical space
encompassing both the part and a sep-
aration space or gap between it and
adjacent parts (Table 2).
An example is the load configura-
tion for a part having overall dimen-
sions of 1.5 in. diameter × 4 in. high.
The part will fit inside a typical cylin-
drical envelope of 2.25 in. (1.5 + 0.75
in.) diameter × 4.75 in. (4 + 0.75 in.)
high. Bear in mind that there are ex-
ceptions to every rule, and these part
spacing recommendations are based
on practical experience. Denser
loading may be possible, but it is a
good idea to have empirical test re-
sults and quality checks to prove that
it can be done. An example: a load of
0.625 in. OD shafts placed into 24 × 36
in. baskets having openings that mea-
sure only 0.75 in. diameter.
The final part spacing selected is
dictated by concerns for heating,
soaking, and atmosphere flow; the
volume and type of quench medium
(brine, water, polymer, oil, salt, or air);
and gross load weight. There are sev-
eral industry-tested rules of thumb
that can be used to help determine the
proper spacing around parts, although
trial-and-error is usually the best
method. In general, the gap around a
part should be no less than 25% and
no greater than 75% of its envelope
diameter.
Nesting: Note that both process and
equipment variables also must be fac-
tored in. For example, large- and
medium-sized bearing races of var-
ious diameters are commonly nested
inside one another to produce an “op-
tically dense” workload. This is done
because the furnace space is volume
limited, not weight limited. However,
THE HEAT TREAT DOCTORContinued
Fig. 2 — Circular basket for a large pit furnace, left. (Source: ASM Handbook, Vol. 4, Heat
Treating: ASM International, Materials Park, Ohio, 1991, p. 515.) Stack of fabricated baskets,
right. (Source: Rolock Inc. advertisement, Metal Progress, Vol. 114, No. 4, September 1978, p.
8. Rolock went out of business in 2001. Many of the alloy components formerly made by Rolock
are now fabricated by Alloy Engineering Co., Berea, Ohio.)
Fig. 3 — Pit furnace lifting post fixture. The
fixture is being inspected by Michael Haite
(right, in white shirt), director of alloy fabri-
cator AFE Klefisch, Hürth, Germany, and en-
gineers of customer Timken România S.A.,
Ploiesti. Photo courtesy North American
Cronite Inc., Div. AFE Technologies Corp.,
North Ridgeville, Ohio.
Fig. 4 — Tray/fixture assembly for carburizing pinions, left. (Source: ASM Handbook, Vol. 4, Heat Treating, p. 515.) Heat treat fixture with grids
and posts, center. (Source: North American Cronite Inc., Div. AFE Technologies Corp., North Ridgeville, Ohio.) “‘Do-it-yourself’ fixturing: the ultimate
in adaptability,” right. (Source: Rolock Inc. advertisement, Metal Progress, September 1978, p. 8.)
Table 2 — Typical part spacing requirements
Part diameter, in. Horizontal spacing (inside), in. Vertical spacing (inside), in.
< 1 0.25-0.75 0.5-0.75
1-2 0.5-1.5 0.75-1
2-3 0.75-2.25 1-1.5
3-4 2.25-3 1.5-2
> 4 > 3 > 2
18 HEAT TREATING PROGRESS • NOVEMBER/DECEMBER 2003
1203htdr.qxd 11/16/03 4:37 PM Page 2
THE HEAT TREAT DOCTORContinued
the cycle must be adjusted to allow
enough time for the interior parts to
be heated. In a case like this, the
spacing given in Table 2 is often dou-
bled. On the other hand, when pro-
cessing similarly shaped parts made
of thin-wall tubing, but not nesting
them, the spacing is often reduced due
to the relative ease of heating and
cooling.
Random part loading: The most
common reason to shovel- or random-
load parts is to reduce labor costs.
Small bearing races 1 in. in diameter
could be stacked but instead are
random loaded to a depth that will not
prevent successful quenching, but will
make it difficult to circulate furnace
atmosphere throughout the load. To
compensate, heat treaters push aside
parts to create empty spaces, often at
the center of the load. This preserves
the economic advantage of random
loading, since it would take much
longer to stack the small parts to en-
sure proper atmosphere flow.
Rectangular-basket calculations
When loading rectangular baskets,
there’s a simple formula for deter-
mining how many circles of a given
diameter (how many parts) can be
placed into a rectangle of known size:
W/d × L/d = N,
where W is the width of the rectan-
gular space, L its length, d is the di-
ameter of the part (including the sep-
aration space), and N is the number
of parts that can be loaded into the rec-
tangular space.
Example: (In this calculation all frac-
tional parts are rounded down.) Con-
sider a furnace with a workload size
of 24 in. wide × 36 in. long × 24 in.
high. Shafts with overall dimensions
of 1.5 in. diameter × 4 in. long are to
be loaded into four rod-frame mesh
baskets, each 6 in. high. Parts will
stand vertically inside an egg-crate-
type separator system. Internal di-
mensions of each basket (inside the
mesh liner): 22.5 × 34.5 × 5.5 in.
For loading purposes, consider each
shaft to be inside a 2.25 in. (1.5 + 0.75
in.) circular envelope, with an overall
height requirement of 4.75 in. (4 + 0.75
in.). Thus, we can fit 10 parts across
(22.5 ÷ 2.25 = 10) and 15 down (34.5 ÷
2.25 ~~ 15), or 150 shafts/layer. The
total load is 600 shafts (150 shafts/
layer × 4 layers/load).
The gross load should be checked
against the furnace rating and the fol-
lowing “percentage rules” to ensure
that the loading is reasonable:
• No more than 50 to 70% of the
surface area of the bottom of the tray
should be covered by the work area.
• No more than 70 to 80% of the
overall height should be occupied.
In the previous shaft example, the
150 shafts in a layer will occupy 34%
of the bottom area (265 in.2
÷ 776 in.2
)
and 79% of the height ([4.754 × 4 in.]
÷ 24 in.).
• The quench chute area covered
by the load, basket, and grid should
be no greater than 50% (agitators) to
75% (pumps) of the total area. In crit-
ical quenching applications, these
numbers will drop to 25–50% (max-
imum) of the total area.
Quench oil: The flash point of the
quench oil should be taken into con-
sideration to avoid localized or gen-
eral overheating due to loads having
either a large mass or high surface
area. In addition, under certain cir-
cumstances such loads can cause an
unexpected expulsion — a “burp” —
of oil from the quench tank. This is be-
lieved to be due to the entrapment of
gases formed by rapid oil volatiliza-
tion when the load is first submerged.
Load configuration has been found
to be an important contributor to this
phenomenon. The rule of thumb is to
reduce load size by 25% after each oc-
currence until no “burping” of oil is
observed.
Finally, loads of high surface area,
parts having cavities that nest, and
load densities higher than normal will
contribute to a large flame eruption
on load transfer and quenching. (I
have seen 20 to 30 ft flames exiting the
front door of an integral quench fur-
nace under these circumstances.)
Integral quench: Total surface area
of the load is an important considera-
tion in batch integral quench furnaces,
especially those used for gas carbur-
izing or carbonitriding. Volumetric
considerations are important to ensure
the availability of carburizing gas
throughout the load. Several rules of
thumb are given in Table 3. Powder
metallurgy parts are also notorious for
being difficult to carburize, carbon re-
store, neutral harden, and quench due
to their surface porosity and relatively
low density. Calculating the total sur-
face area of a part can be challenging,
but if done right can save a lot of
guesswork (and rework) when trying
to figure out why a seemingly light
load will not carburize.
In the example that follows, 0.25 in.
diameter × 0.75 in. long fasteners are
to be randomly loaded in mesh bas-
kets for hardening in a batch integral
quench furnace. The furnace has a 30
in. wide × 48 in. long × 30 in. high
work zone and a 2250 lb gross load ca-
pacity. The fasteners, which have a
bulk load density of 225 lb/ft3
, will be
loaded into five mesh baskets, each
having an internal volume of 4.5 ft3
.
In this case, “packing density” is the
major concern, and the overriding
consideration is knowing when the
center of the load of these tightly
nested fasteners reaches temperature.
In effect, this forces us to reduce fur-
nace capacity because the area for flow
of gases through the load is restricted,
and heat-up takes longer. As the
packing density increases, the “hour
per inch of cross section” rule comes
into play. A densely packed load of
fasteners will not be at temperature in
the middle of the baskets if the baskets
are overloaded. In this example,
loading should be limited to 1-2 in.
deep, depending on the circulation ef-
ficiency through the load and other
factors.
If this load were to be carburized, it
should be spread out so that either
parts are not touching or the depth of
loading is no more than several layers.
Care must also be taken to avoid
losing too much heat when transfer-
ring small parts in shallow layers or
thin parts. The solution is to add some
type of heat “ballast”: screens, extra
baskets, or even plates set atop (and
sometimes on the sides or ends) of the
load to retain as much heat as possible
during transfer.
Table 3 — Part-surface-area to load-size relationship
Load size (width × length × height), in. Part surface area, ft2
24 × 36 × 24 180–250
30 × 48 × 30 300–400
36 × 48 × 36 400–500
36 × 72 × 36 625–725
20 HEAT TREATING PROGRESS • NOVEMBER/DECEMBER 2003
1203htdr.qxd 11/16/03 4:38 PM Page 4
HEAT TREATING PROGRESS • NOVEMBER/DECEMBER 2003
Circular-basket calculations
For round or circular baskets, it’s
necessary to determine how many cir-
cles of a given diameter can be in-
scribed, or loaded, into a larger circle
of known diameter. The method used
involves calculating the ratio, R, of the
diameter of the load circle, D, to that
of the part circle, d, where, if appro-
priate, the separation distance has
been added. In other words, R = D/d.
N, the number of circles that can be
inscribed, is related to R, and can be
found using Table 4.
For example, to determine how
many 0.5 in. diameter wires can be
placed inside a 5 in. diameter pipe,
first calculate R (5 ÷ 0.5 = 10), and then
find N by interpolating between the
N values (75 and 80) for the two R
values nearest to 10 in Table 4 (9.93
and 10.20). In this case, N = 76.
In general, cylinders can be packed
in rectangular containers more effi-
ciently than in cylindrical ones because
both the length and width of a rec-
tangle can be varied, as opposed to
only the diameter of cylinder. HTP
Selected references
• “Efficient Approach to Packing
Cylinders”: Design News, October 1975.
•“DensestPackingofCongruentCircles
in an Equilateral Triangle,” by H. Melissen:
TheAmericanMathematicalMonthly,Vol.100,
No.10,December1993,p.916–925.
Acknowledgements: Important contri-
butions to this column were made by John
A. Collins, Surface Combustion Inc.,
Maumee, Ohio; James E. Demarest, AFC-
Holcroft, Wixom, Mich.; Steven B. Ellison,
North American Cronite Inc., North
Ridgeville, Ohio; Douglas W. Fay, Pine
Tree Castings, Newport, N.H.; Robert J.
Gaster, Deere & Co., Moline, Ill.; Marius
Gavrila, Specialty Heat Treating Inc.,
Grand Rapids, Mich.; Robert Hill, Solar
Atmospheres of Western Pennsylvania,
Hermitage, Pa.; John Hudson, Ipsen In-
ternational Inc., Rockford, Ill.; Edward H.
Mitchell, Treat-All Metals Inc., Milwaukee,
Wis.; Ricky Scott, Timken Co., Union, S.C.;
and Jack Titus, Williams Industrial Service
Inc., Bowling Green, Ohio.
Table 4 — Number of circles that can be placed
within an enclosing circle1
R N R N R N R N R N
2.00 2 6.76 34 12.80 130 18.75 290 26.65 600
2.15 3 6.86 35 13.06 135 18.90 295 26.86 610
2.41 4 7.00 36 13.26 140 19.05 300 27.07 620
2.70 5 7.00 37 13.49 145 19.35 310 27.28 630
3.00 6 7.08 38 13.72 150 19.65 320 27.49 640
3.00 7 7.18 39 13.95 155 19.94 330 27.70 650
3.31 8 7.31 40 14.17 160 20.23 340 27.91 660
3.61 9 7.39 41 14.39 165 20.52 350 28.12 670
3.80 10 7.43 42 14.60 170 20.81 360 28.33 680
3.92 11 7.61 43 14.81 175 21.09 370 28.54 690
4.05 12 7.70 44 15.01 180 21.36 380 28.75 700
4.23 13 7.72 45 15.20 185 21.63 390 29.14 720
4.41 14 7.81 46 15.39 190 21.90 400 29.52 740
4.55 15 7.92 47 15.57 195 22.17 410 29.90 760
4.70 16 8.00 48 15.75 200 22.44 420 30.28 780
4.86 17 8.03 49 15.93 205 22.70 430 30.65 800
5.00 18 8.13 50 16.11 210 22.96 440 31.02 820
5.00 19 8.21 55 16.29 215 23.21 450 31.39 840
5.18 20 8.94 60 16.46 220 23.47 460 31.75 860
5.31 21 9.25 65 16.63 225 23.72 470 32.11 880
5.49 22 9.61 70 16.80 230 23.97 480 32.46 900
5.61 23 9.93 75 16.97 235 24.21 490 32.80 920
5.72 24 10.20 80 17.14 240 24.45 500 33.14 940
5.81 25 10.46 85 17.30 245 24.68 510 33.48 960
5.92 26 10.73 90 17.46 250 24.91 520 33.82 980
6.00 27 11.15 95 17.63 255 25.13 530 34.15 1000
6.13 28 11.34 100 17.79 260 25.35 540 35.75 1100
6.23 29 11.60 105 17.95 265 25.57 550 27.30 1200
6.40 30 11.85 110 18.11 270 25.79 560 38.80 1300
6.44 31 12.10 115 18.27 275 26.01 570 40.20 1400
6.55 32 12.34 120 18.43 280 26.23 580 41.60 1500
6.70 33 12.57 125 18.59 285 26.44 590 42.95 1600
1. R = the ratio of the diameter of the load circle to that of the part circle. N = the number of part circles that can be inscribed in
the load circle. (If appropriate, the separation distance has been added to the part circle diameter.)
Circle 12 or visit www.adinfo.cc
1203htdr.qxd 11/18/03 11:00 AM Page 5

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Theheattreatdoctor.com documents howtoloadparts

  • 1. How to Load Parts in Furnace Baskets Because parts come in all shapes and sizes, standard heat treating furnaces have been designed to ac- commodate most any workload con- figuration (Table 1). A loading arrangement generally falls into one of two classes: weight limited or volume limited. In either case, when loading parts in furnace baskets or onto racks the goal is often to maxi- mize loading efficiency. However, heat treaters must also be concerned with proper part spacing; that is, po- sitioning parts within the load for op- timal heat transfer, atmosphere circu- lation, temperature uniformity, and heat extraction during quenching to minimize distortion. Despite the al- most limitless choices, some com- monsense rules apply. Furnace factor: How parts are loaded is very much a function of the style of furnace being used. Rectan- gular baskets designed for stacking or nesting (Fig. 1) are commonly used in integral quench furnaces. These are typically placed atop carrier grids. Pit furnaces use cylindrical baskets, often with solid sides (Fig. 2) to promote cir- culation. In some instances, parts are loaded onto fixtures consisting of mul- tiple grids with a center post — a “Christmas tree” arrangement (Fig. 3). Parts loaded in pusher-style fur- naces can be placed directly on the grid, in racks, or in segmented frames About the columnist . . . Daniel H. Herring is president of The Herring Group Inc., Elmhurst, Ill., a business specializing in practical solutions to problems facing the heat treating and sintering industries (Web: www. heat-treat-doctor.com). Dan Herring has spent more than 25 years working for furnace equip- ment manufacturers in a variety of roles, including senior management and new business development. Now an independent entrepreneur, Dan lectures, writes, teaches, and consults. A fre- quent speaker at local, national, and interna- tional conferences, he is dedicated to advancing the state of the art in thermal processing. He has published more than 100 technical papers, written three books, and contributes to Heat Treating Progress and other in- dustry publications. Dan’s credentials include his appointment as a research associate professor at the Ther- mal Processing Technology Center, Illinois In- stitute of Technology, Chicago. He also is active on several HTS Committees. HEAT TREATING PROGRESS • NOVEMBER/DECEMBER 2003 17 Generic and practical information presented here is not intended to replace or supplement federal, state, and local codes, government standards, insurance requirements, company policies and procedures, or common sense. In addition, all equipment manufacturers’ in- structions and operating and maintenance manuals should always be thoroughly read and followed. Further, personnel training should be provided unequivocally to everyone who will be associated with operating such equipment. ® Table 1 — Common furnace workload sizes Furnace style Width, in. Length, in. Height, in. Integral quench 24 36 18 24 36 24 30 48 30 36 48 30 36 48 36 36 72 36 48 72 36 Pusher 12 12 22 22 22 24 24 24 24 24 36 24 27.5 27.5 24 30 30 30 36 36 30 Diameter, in. Depth, in. — Pit 12–120 12–192 — Fig. 1 — Baskets of precision-machined AISI/SAE 8620 (UNS G86200) steel plates will be carburized and oil quenched in a batch integral quench furnace. The parts baskets are made of AISI 330 (UNS N08330), an austenitic Ni-Cr-Fe-Si alloy combining resistance to carburization and oxidation at temperatures to 2200°F (1200°C) with high strength. Photo courtesy Specialty Heat Treating Inc., Grand Rapids, Mich. (www.specialtyheat.com). 1203htdr.qxd 11/16/03 4:37 PM Page 1
  • 2. having crossmembers that can be added or removed as dictated by the geometry of the part to allow for hanging or support (Fig. 4). Determining part spacing The orientation of parts in the work- load is very important when trying to minimize distortion in heat treatment. When loading baskets, imagine that each part occupies a cylindrical space encompassing both the part and a sep- aration space or gap between it and adjacent parts (Table 2). An example is the load configura- tion for a part having overall dimen- sions of 1.5 in. diameter × 4 in. high. The part will fit inside a typical cylin- drical envelope of 2.25 in. (1.5 + 0.75 in.) diameter × 4.75 in. (4 + 0.75 in.) high. Bear in mind that there are ex- ceptions to every rule, and these part spacing recommendations are based on practical experience. Denser loading may be possible, but it is a good idea to have empirical test re- sults and quality checks to prove that it can be done. An example: a load of 0.625 in. OD shafts placed into 24 × 36 in. baskets having openings that mea- sure only 0.75 in. diameter. The final part spacing selected is dictated by concerns for heating, soaking, and atmosphere flow; the volume and type of quench medium (brine, water, polymer, oil, salt, or air); and gross load weight. There are sev- eral industry-tested rules of thumb that can be used to help determine the proper spacing around parts, although trial-and-error is usually the best method. In general, the gap around a part should be no less than 25% and no greater than 75% of its envelope diameter. Nesting: Note that both process and equipment variables also must be fac- tored in. For example, large- and medium-sized bearing races of var- ious diameters are commonly nested inside one another to produce an “op- tically dense” workload. This is done because the furnace space is volume limited, not weight limited. However, THE HEAT TREAT DOCTORContinued Fig. 2 — Circular basket for a large pit furnace, left. (Source: ASM Handbook, Vol. 4, Heat Treating: ASM International, Materials Park, Ohio, 1991, p. 515.) Stack of fabricated baskets, right. (Source: Rolock Inc. advertisement, Metal Progress, Vol. 114, No. 4, September 1978, p. 8. Rolock went out of business in 2001. Many of the alloy components formerly made by Rolock are now fabricated by Alloy Engineering Co., Berea, Ohio.) Fig. 3 — Pit furnace lifting post fixture. The fixture is being inspected by Michael Haite (right, in white shirt), director of alloy fabri- cator AFE Klefisch, Hürth, Germany, and en- gineers of customer Timken România S.A., Ploiesti. Photo courtesy North American Cronite Inc., Div. AFE Technologies Corp., North Ridgeville, Ohio. Fig. 4 — Tray/fixture assembly for carburizing pinions, left. (Source: ASM Handbook, Vol. 4, Heat Treating, p. 515.) Heat treat fixture with grids and posts, center. (Source: North American Cronite Inc., Div. AFE Technologies Corp., North Ridgeville, Ohio.) “‘Do-it-yourself’ fixturing: the ultimate in adaptability,” right. (Source: Rolock Inc. advertisement, Metal Progress, September 1978, p. 8.) Table 2 — Typical part spacing requirements Part diameter, in. Horizontal spacing (inside), in. Vertical spacing (inside), in. < 1 0.25-0.75 0.5-0.75 1-2 0.5-1.5 0.75-1 2-3 0.75-2.25 1-1.5 3-4 2.25-3 1.5-2 > 4 > 3 > 2 18 HEAT TREATING PROGRESS • NOVEMBER/DECEMBER 2003 1203htdr.qxd 11/16/03 4:37 PM Page 2
  • 3. THE HEAT TREAT DOCTORContinued the cycle must be adjusted to allow enough time for the interior parts to be heated. In a case like this, the spacing given in Table 2 is often dou- bled. On the other hand, when pro- cessing similarly shaped parts made of thin-wall tubing, but not nesting them, the spacing is often reduced due to the relative ease of heating and cooling. Random part loading: The most common reason to shovel- or random- load parts is to reduce labor costs. Small bearing races 1 in. in diameter could be stacked but instead are random loaded to a depth that will not prevent successful quenching, but will make it difficult to circulate furnace atmosphere throughout the load. To compensate, heat treaters push aside parts to create empty spaces, often at the center of the load. This preserves the economic advantage of random loading, since it would take much longer to stack the small parts to en- sure proper atmosphere flow. Rectangular-basket calculations When loading rectangular baskets, there’s a simple formula for deter- mining how many circles of a given diameter (how many parts) can be placed into a rectangle of known size: W/d × L/d = N, where W is the width of the rectan- gular space, L its length, d is the di- ameter of the part (including the sep- aration space), and N is the number of parts that can be loaded into the rec- tangular space. Example: (In this calculation all frac- tional parts are rounded down.) Con- sider a furnace with a workload size of 24 in. wide × 36 in. long × 24 in. high. Shafts with overall dimensions of 1.5 in. diameter × 4 in. long are to be loaded into four rod-frame mesh baskets, each 6 in. high. Parts will stand vertically inside an egg-crate- type separator system. Internal di- mensions of each basket (inside the mesh liner): 22.5 × 34.5 × 5.5 in. For loading purposes, consider each shaft to be inside a 2.25 in. (1.5 + 0.75 in.) circular envelope, with an overall height requirement of 4.75 in. (4 + 0.75 in.). Thus, we can fit 10 parts across (22.5 ÷ 2.25 = 10) and 15 down (34.5 ÷ 2.25 ~~ 15), or 150 shafts/layer. The total load is 600 shafts (150 shafts/ layer × 4 layers/load). The gross load should be checked against the furnace rating and the fol- lowing “percentage rules” to ensure that the loading is reasonable: • No more than 50 to 70% of the surface area of the bottom of the tray should be covered by the work area. • No more than 70 to 80% of the overall height should be occupied. In the previous shaft example, the 150 shafts in a layer will occupy 34% of the bottom area (265 in.2 ÷ 776 in.2 ) and 79% of the height ([4.754 × 4 in.] ÷ 24 in.). • The quench chute area covered by the load, basket, and grid should be no greater than 50% (agitators) to 75% (pumps) of the total area. In crit- ical quenching applications, these numbers will drop to 25–50% (max- imum) of the total area. Quench oil: The flash point of the quench oil should be taken into con- sideration to avoid localized or gen- eral overheating due to loads having either a large mass or high surface area. In addition, under certain cir- cumstances such loads can cause an unexpected expulsion — a “burp” — of oil from the quench tank. This is be- lieved to be due to the entrapment of gases formed by rapid oil volatiliza- tion when the load is first submerged. Load configuration has been found to be an important contributor to this phenomenon. The rule of thumb is to reduce load size by 25% after each oc- currence until no “burping” of oil is observed. Finally, loads of high surface area, parts having cavities that nest, and load densities higher than normal will contribute to a large flame eruption on load transfer and quenching. (I have seen 20 to 30 ft flames exiting the front door of an integral quench fur- nace under these circumstances.) Integral quench: Total surface area of the load is an important considera- tion in batch integral quench furnaces, especially those used for gas carbur- izing or carbonitriding. Volumetric considerations are important to ensure the availability of carburizing gas throughout the load. Several rules of thumb are given in Table 3. Powder metallurgy parts are also notorious for being difficult to carburize, carbon re- store, neutral harden, and quench due to their surface porosity and relatively low density. Calculating the total sur- face area of a part can be challenging, but if done right can save a lot of guesswork (and rework) when trying to figure out why a seemingly light load will not carburize. In the example that follows, 0.25 in. diameter × 0.75 in. long fasteners are to be randomly loaded in mesh bas- kets for hardening in a batch integral quench furnace. The furnace has a 30 in. wide × 48 in. long × 30 in. high work zone and a 2250 lb gross load ca- pacity. The fasteners, which have a bulk load density of 225 lb/ft3 , will be loaded into five mesh baskets, each having an internal volume of 4.5 ft3 . In this case, “packing density” is the major concern, and the overriding consideration is knowing when the center of the load of these tightly nested fasteners reaches temperature. In effect, this forces us to reduce fur- nace capacity because the area for flow of gases through the load is restricted, and heat-up takes longer. As the packing density increases, the “hour per inch of cross section” rule comes into play. A densely packed load of fasteners will not be at temperature in the middle of the baskets if the baskets are overloaded. In this example, loading should be limited to 1-2 in. deep, depending on the circulation ef- ficiency through the load and other factors. If this load were to be carburized, it should be spread out so that either parts are not touching or the depth of loading is no more than several layers. Care must also be taken to avoid losing too much heat when transfer- ring small parts in shallow layers or thin parts. The solution is to add some type of heat “ballast”: screens, extra baskets, or even plates set atop (and sometimes on the sides or ends) of the load to retain as much heat as possible during transfer. Table 3 — Part-surface-area to load-size relationship Load size (width × length × height), in. Part surface area, ft2 24 × 36 × 24 180–250 30 × 48 × 30 300–400 36 × 48 × 36 400–500 36 × 72 × 36 625–725 20 HEAT TREATING PROGRESS • NOVEMBER/DECEMBER 2003 1203htdr.qxd 11/16/03 4:38 PM Page 4
  • 4. HEAT TREATING PROGRESS • NOVEMBER/DECEMBER 2003 Circular-basket calculations For round or circular baskets, it’s necessary to determine how many cir- cles of a given diameter can be in- scribed, or loaded, into a larger circle of known diameter. The method used involves calculating the ratio, R, of the diameter of the load circle, D, to that of the part circle, d, where, if appro- priate, the separation distance has been added. In other words, R = D/d. N, the number of circles that can be inscribed, is related to R, and can be found using Table 4. For example, to determine how many 0.5 in. diameter wires can be placed inside a 5 in. diameter pipe, first calculate R (5 ÷ 0.5 = 10), and then find N by interpolating between the N values (75 and 80) for the two R values nearest to 10 in Table 4 (9.93 and 10.20). In this case, N = 76. In general, cylinders can be packed in rectangular containers more effi- ciently than in cylindrical ones because both the length and width of a rec- tangle can be varied, as opposed to only the diameter of cylinder. HTP Selected references • “Efficient Approach to Packing Cylinders”: Design News, October 1975. •“DensestPackingofCongruentCircles in an Equilateral Triangle,” by H. Melissen: TheAmericanMathematicalMonthly,Vol.100, No.10,December1993,p.916–925. Acknowledgements: Important contri- butions to this column were made by John A. Collins, Surface Combustion Inc., Maumee, Ohio; James E. Demarest, AFC- Holcroft, Wixom, Mich.; Steven B. Ellison, North American Cronite Inc., North Ridgeville, Ohio; Douglas W. Fay, Pine Tree Castings, Newport, N.H.; Robert J. Gaster, Deere & Co., Moline, Ill.; Marius Gavrila, Specialty Heat Treating Inc., Grand Rapids, Mich.; Robert Hill, Solar Atmospheres of Western Pennsylvania, Hermitage, Pa.; John Hudson, Ipsen In- ternational Inc., Rockford, Ill.; Edward H. Mitchell, Treat-All Metals Inc., Milwaukee, Wis.; Ricky Scott, Timken Co., Union, S.C.; and Jack Titus, Williams Industrial Service Inc., Bowling Green, Ohio. Table 4 — Number of circles that can be placed within an enclosing circle1 R N R N R N R N R N 2.00 2 6.76 34 12.80 130 18.75 290 26.65 600 2.15 3 6.86 35 13.06 135 18.90 295 26.86 610 2.41 4 7.00 36 13.26 140 19.05 300 27.07 620 2.70 5 7.00 37 13.49 145 19.35 310 27.28 630 3.00 6 7.08 38 13.72 150 19.65 320 27.49 640 3.00 7 7.18 39 13.95 155 19.94 330 27.70 650 3.31 8 7.31 40 14.17 160 20.23 340 27.91 660 3.61 9 7.39 41 14.39 165 20.52 350 28.12 670 3.80 10 7.43 42 14.60 170 20.81 360 28.33 680 3.92 11 7.61 43 14.81 175 21.09 370 28.54 690 4.05 12 7.70 44 15.01 180 21.36 380 28.75 700 4.23 13 7.72 45 15.20 185 21.63 390 29.14 720 4.41 14 7.81 46 15.39 190 21.90 400 29.52 740 4.55 15 7.92 47 15.57 195 22.17 410 29.90 760 4.70 16 8.00 48 15.75 200 22.44 420 30.28 780 4.86 17 8.03 49 15.93 205 22.70 430 30.65 800 5.00 18 8.13 50 16.11 210 22.96 440 31.02 820 5.00 19 8.21 55 16.29 215 23.21 450 31.39 840 5.18 20 8.94 60 16.46 220 23.47 460 31.75 860 5.31 21 9.25 65 16.63 225 23.72 470 32.11 880 5.49 22 9.61 70 16.80 230 23.97 480 32.46 900 5.61 23 9.93 75 16.97 235 24.21 490 32.80 920 5.72 24 10.20 80 17.14 240 24.45 500 33.14 940 5.81 25 10.46 85 17.30 245 24.68 510 33.48 960 5.92 26 10.73 90 17.46 250 24.91 520 33.82 980 6.00 27 11.15 95 17.63 255 25.13 530 34.15 1000 6.13 28 11.34 100 17.79 260 25.35 540 35.75 1100 6.23 29 11.60 105 17.95 265 25.57 550 27.30 1200 6.40 30 11.85 110 18.11 270 25.79 560 38.80 1300 6.44 31 12.10 115 18.27 275 26.01 570 40.20 1400 6.55 32 12.34 120 18.43 280 26.23 580 41.60 1500 6.70 33 12.57 125 18.59 285 26.44 590 42.95 1600 1. R = the ratio of the diameter of the load circle to that of the part circle. N = the number of part circles that can be inscribed in the load circle. (If appropriate, the separation distance has been added to the part circle diameter.) Circle 12 or visit www.adinfo.cc 1203htdr.qxd 11/18/03 11:00 AM Page 5