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Template machining utilizes a simple, single-point cutting tool that is guided by a template.
However, the equipment is specialized, and the method is seldom used except for making large-bevel
gears.
The generating process is used to produce most high-quality gears. This process is based on the
principle that any two involute gears, or any gear and a rack, of the same diametral pitch will mesh
together. Applying this principle, one of the gears (or the rack) is made into a cutter by proper
sharpening and is used to cut into a mating gear blank and thus generate teeth on the blank. Gear
shapers (pinion or rack), gear-hobbing machines, and bevel-gear generating machines are good ex-
amples of the gear generating machines.
33.9.2 Gear Finishing
To operate efficiently and have satisfactory life, gears must have accurate tooth profile and smooth
and hard faces. Gears are usually produced from relatively soft blanks and are subsequently heat-
treated to obtain greater hardness, if it is required. Such heat treatment usually results in some slight
distortion and surface roughness. Grinding and lapping are used to obtain very accurate teeth on
hardened gears. Gear-shaving and burnishing methods are used in gear finishing. Burnishing is limited
to unhardened gears.
33.10 THREAD CUTTING AND FORMING
Three basic methods are used for the manufacturing of threads; cutting, rolling, and casting. Die
casting and molding of plastics are good examples of casting. The largest number of threads are
made by rolling, even though it is restricted to standardized and simple parts, and ductile materials.
Large numbers of threads are cut by the following methods:
1. Turning
2, Dies: manual or automatic (external)
3. Milling
4. Grinding (external)
5. Threading machines (external)
6. Taps (internal)
33.10.1 Internal Threads
In most cases, the hole that must be made before an internal thread is tapped is produced by drilling.
The hole size determines the depth of the thread, the forces required for tapping, and the tap life. In
most applications, a drill size is selected that will result in a thread having about 75% of full thread
depth. This practice makes tapping much easier, increases the tap's life, and only slightly reduces
the resulting strength. Table 33.13 gives the drill sizes used to produce 75% thread depth for several
sizes of UNC threads. The feed of a tap depends on the lead of the screw and is equal to I/lead ipr.
Cutting speeds depend on many factors, such as
1. Material hardness
2. Depth of cut
3. Thread profile
Table 33.13 Recommended Tap-Drill Sizes for Standard Screw-
Thread Pitches (American National Coarse-Thread Series)
Number
or
Diameter
6
8
10
12
J/4
3/8
V2
3/4
1
Threads
per
Inch
32
32
24
24
20
16
13
10
8
Outside
Diameter
of Screw
0.138
0.164
0.190
0.216
0.250
0.375
0.500
0.750
1.000
Decimal
Equivalent
of Drill
0.1065
0.1360
0.1495
0.1770
0.2010
0.3125
0.4219
0.6562
0.875
Tap Drill
Sizes
36
29
25
16
7
5/16
27/64
21/32
7/8
815045459.002.png
4. Tooth depth
5. Hole depth
6. Fineness of pitch
7. Cutting fluid
Cutting speeds can range from lead 3 ft/min (1 m/min) for high-strength steels to 150 ft/min (45
m/min) for aluminum alloys. Long-lead screws with different configurations can be cut successfully
on milling machines, as in Fig. 33.24. The feed per tooth is given by the following equation:
'•-f
where d = diameter of thread
n = number of teeth in cutter
N — rpm of cutter
S = rpm of work
33.10.2 Thread Rolling
In thread rolling, the metal on the cylindrical blank is cold-forged under considerable pressure by
either rotating cylindrical dies or reciprocating flat dies. The advantages of thread rolling include
improved strength, smooth surface finish, less material used (—19%), and high production rate. The
limitations are that blank tolerance must be close, it is economical only for large quantities, it is
limited to external threads, and it is applicable only for ductile materials, less than Rockwell C37.
33.11 BROACHING
Broaching is unique in that it is the only one of the basic machining processes in which the feed of
the cutting edges is built into the tool. The machined surface is always the inverse of the profile of
the broach. The process is usually completed in a single, linear stroke. A broach is composed of a
series of single-point cutting edges projecting from a rigid bar, with successive edges protruding
farther from the axis of the bar. Figure 33.25 illustrates the parts and nomenclature of the broach.
Most broaching machines are driven hydraulically and are of the pull or push type.
The maximum force an internal pull broach can withstand without damage is given by
P = ^JL lb
(33.57)
s
where Ay = minimum tool selection, in.2
Fy = tensile yield strength of tool steel, psi
s = safety factor
The maximum push force is determined by the minimum tool diameter (Dy), the length of the
broach (L), and the minimum compressive yield strength (Fy). The ratio L/Dy should be less than 25
so that the tool will not bend under load. The maximum allowable pushing force is given by
Fig. 33.24 Single-thread milling cutter.
815045459.003.png
P — pitch of teeth
D - depth of teeth (0.4P)
L — land behind cutting edge (0.25P)
R — radius of gullet (.25P)
a — hook angle or rake angle
Y — backoff angle or clearance angle
RPT — rise per tooth (chip load) = ft
Fig. 33.25 Standard broach part and nomenclature.
815045459.004.png
P = -2-2 Ib
(33.58)
where Fy is minimum compressive yield strength.
If LIDy ratio is greater than 25 (long broach), the Tool and Manufacturing Engineers Handbook
gives the following formula:
5.6 X 107£>?
P =
Ib
(33.59)
sL2
Dr and L are given in inches.
Alignment charts were developed for determining metal removal rate (MRR) and motor power in
surface broaching. Figures 33.26 and 33.27 show the application of these charts for either English
or metric units.
Broaching speeds are relatively low, seldom exceeding 50 fpm, but, because a surface is usually
completed in one stroke, the productivity is high.
33.12 SHAPING, PLANING, AND SLOTTING
The shaping and planing operations generate surfaces with a single-point tool by a combination of
a reciprocating motion along one axis and a feed motion normal to that axis (Fig. 33.28). Slots and
limited inclined surfaces can also be produced. In shaping, the tool is mounted on a reciprocating
ram and the table is fed at each stroke of the ram. Planers handle large, heavy workpieces. In planing,
the workpiece reciprocates and the feed increment is provided by moving the tool at each recipro-
cation. To reduce the lost time on the return stroke, they are provided with a quick-return mechanism.
For mechanically driven shapers, the ratio of cutting time to return stroke averages 3:2, and for
hydraulic shapers the ratio is 2:1. The average cutting speed may be determined by the following
formula:
cs = ^c fpm
(33'60)
where N = strokes per minute
L = stroke length, in.
C = cutting time ratio, cutting time divided by total time
For mechanically driven shapers, the cutting speed reduces to
LN
CS = — fpm
(33.61)
or
LVN
CS = -L- m/min
(33.62)
ouu
where Lj is the stroke length in millimeters. For hydraulically driven shapers,
CS = ^ fpm
(33.63)
8
or
L±N
CS = ~— m/min
(33.64)
OOO.7
The time T required to machine a workpiece of width W (in.) is calculated by
815045459.005.png
Example:
Material: Cast iron - HSS tools
Q - 12 Vc x w x dt inVmin
Chipload 0.005 in/tooth
. Qxp QxP
hPm a —— * ~rT~
Vc » 30 f pm
w - 1.5 in
E 0-7
dt - 0.040 in Q * 22in3/min
P - 0.7 hp/5n3/min hpm » 22 hp
Fig. 33.26 Alignment chart for determining metal removal rate and motor horsepower in sur-
face broaching with high-speed steel broaching tools—English units.
T = J^J nun
(33.65)
where / = feed, in. per stroke
The number of strokes (5) required to complete a job is then
815045459.001.png
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