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PolygonDesignData
199 Marbledale Road / Tuckahoe, NY 10707 / Tel: (914) 961-2000 / Fax: (914) 961-7231
1. Specify profile by mean diameter "Dm", andeccentricity value "e".
2. Shaft tolerance is based on class g6 forsliding fit, other classes can be used for transition or press fit applications.
Designation: Dm g6/e ex. 2.00" g6/.070"
3. Bore tolerance is based on class H7.
Designation: Dm H7/e ex. 2.00" H7/.070"
4. Profile pressure angle B varies between 12
and 14 for all sizes. Use 13 for calculations.
199 Marbledale Road/Tuckahoe, NY 10707/Tel: (914) 961-2000/Fax: (914) 961-7231
Dm Da Di e Area I Zpin in in in in2 in4 in3 Shaft* Bore*
1.000 1.0801.125 1.205 1.045
1.250 1.330 1.170 1.2271.375 1.485 1.265 1.4851.500 1.610 1.390 1.767
1.750 1.870 1.630 2.4052.000 2.140 1.860 3.142 1.46802.250 2.420 2.080 3.976 1.258 2.0794
2.500 2.700 2.300 4.909 1.917 2.84072.750 2.980 2.520 5.940 2.807 3.76833.000 3.240 2.760 7.069 3.976 4.9087
3.250 3.490 3.010 8.296 5.477 6.27683.500 3.800 3.200 9.621 7.366 7.75394.000 4.360 3.640 12.566 12.566 11.5288
I = Moment of Inertia Zp = Polar Section Modulus
* Tolerances: +/- .002"
Dimensions forrough machining
1.0951.220 1.030
1.345 1.1551.500 1.2501.625 1.375
1.885 1.6152.155 1.8452.435 2.065
2.715 2.2852.995 2.5053.255 2.745
3.505 2.9953.815 3.1854.375 3.625
.545 .455
.680 .570
.815 .685
.945 .805.905
.500 .530 .470 .0150 .196 .003 .0232
.625 .665 .585 .0200 .307 .007 .0451
.750 .800 .700 .0250 .442 .016 .0777
.875 .930 .820 .0275 .601 .029 .1238.920 .0400 .785 .049 .1818
.0400 .994 .079 .2610
.0400 .120 .3604
.0550 .175 .4726
.0550 .249 .6174
.0600 .460 .9848
.0700 .785
.0850
.1000
.1150
.1200
.1200
.1500
.1800
Nominal Size Design Data
o
oo
Dm Di
2e
Da
Shafts Hubs
Max. Torsional Moment Tmax = s x Zp Wall Thickness of Hub
4
16 Da For P3 profiles t =1.44 x
Max. Bending Bmax = x Ix For P3 profiles (over 1 3/8 dia.)
32 Da
Surface Pressure
Tmax
l ( e. Dm Dm20
Profile Coordinates
2
Where: Tmax = Maximum Torsional moment (in.lb)= Allowable Torsional Shear Stress (p.s.i)
Zp = Polar Section Modulus (in )Bmax = Maximum Bending moment (in.lb)
t = Allowable Tensile Stress (p.s.i)
= Section Modulus (in )= Hub Minimum Wall Thickness (in)= Length of Connection (in)= Circumscribe Circle Diameter (in)= Inscribe Circle diameter (in)= Machine Eccentricity (in) = (Da - Di) / 4= Number of Lobes or Sides
(p.s.i.)
X = ( Di + e )
Y = ( + e )
For P3 profiles Ix =
For P3 profiles P =
For P3 profiles Zp =
t = 1.2 x
Tmaxt x l
Dm
t
199 Marbledale Road/Tuckahoe, NY 10707/Tel: (914) 961-2000/Fax: (914) 961-7231
cos e cos n cos ne sin n sin
sin e cos n sin ne sin n cos
Ix
tlDaDien
= The angle of rotation of the work piece
s
Tmaxt x l
2Di
4Dm
2)
3
3
199 Marbledale Road/Tuckahoe, NY 10707/Tel: (914) 961-2000/Fax: (914) 961-7231
1. Specify profile by dimensions "Da", Di, andeccentricity value "e".
2. Shaft tolerances: "Da": class e9 (for all fits)"Di": class g6 for sliding fit, other classes can
Designation: PC4 DaxDi g6/e6/.250"
3. Bore tolerances:"Da" class H11 "Di": class H7
Designation: PC4 DaxDi H7/eex. PC4 2.00"x1.700" H7/.250"
be used for transition or press fit applications.
ex. PC4 2.00"x2.140" g
Di e Area B max Zpin in in in in2 deg. in3 Shaft* Bore**
3/161/45/163/8
7/161/25/83/4
7/81 1.0000
1 1/4 1.2500 1.0401 3/8 1.3750 1.135 1.170
1 1/2 1.5000 1.260 1.4301 3/4 1.7500 1.480 1.940
2 2.0000 1.700 2.6002 1/4 2.2500 1.920 3.320 1.3897
2 1/2 2.5000 2.135 4.100 1.91082 3/4 2.7500 2.390 5.060 2.6805
3 3.0000 2.510 5.670 3.1049
3 1/4 3.2500 2.760 6.810 4.12823 1/2 3.5000 3.010 8.060 5.3546
4 4.0000 3.510 10.860
28.029.026.028.0
29.031.029.031.0
31.029.031.029.0
30.029.029.028.0
28.026.029.0
28.026.022.0 8.4909
B max = Max. Pressure Angle Zp = Polar Section Modulus
* Tolerances: +/- .001" ** Tolerances: +.001"/-.000"
Nominal Size Design DataDa
Dimensions forrough machining
1.246 1.0381.371 1.134
1.496 1.2591.746 1.4681.996 1.6982.246 1.918
2.496 2.1352.746 2.3892.996 2.509
3.246 2.7583.496 3.0903.996 3.509
.184 .159
.246 .209
.309 .270
.371 .319
.434 .364
.496 .414
.621 .524
.746 .624
.871 .724
.996 .848
.1875 .160 .025 .023 .0008
.2500 .210 .030 .040 .0018
.3125 .270 .035 .065 .0039
.3750 .320 .040 .091 .0064
.4375 .365 .045 .120 .0095
.5000 .415 .075 .155 .0140
.6250 .525 .075 .250 .0284
.7500 .625 .125 .350 .0479
.8750 .725 .150 .470 .0748.850 .150 .650 .1206
.200 .980 .2209
.225 .2871
.225 .3928
.250 .6365
.250 .9647
.275
.275
.300
.300
.300
.300
.300
Bmax
Di
Da
Shafts Hubs
Max. Torsional Moment Tmax = s x Zp Wall Thickness of Hub
3
16Tmax
t x l
Max. Bending Moment Bmax = t x Ix
3
32
Surface Pressure
Tmax (p.s.i.)
l ( e(eff.). Dm +
Profile Coordinates
Where: Tmax = Maximum Torsional moment (in.lb)s = Allowable Torsional Shear Stress (p.s.i)
Zp = Polar Section Modulus (inBmax = Maximum Bending moment (in.lb)
t = Allowable Tensile Stress (p.s.i)Ix = Section Modulus (int = Hub Minimum Wall Thickness (in)l = Length of Connection (in)Da = Circumscribe Circle Diameter (in)Di = Inscribe Circle diameter (in)e = Machine Eccentricity (in)e(eff.) = Effective Size of Eccentric (Da - Di) / 4 (in)
Zp =
For PC4 profiles Ix =
For PC4 profiles
For PC4 profiles t = 0.7 x
P =For PC4 profiles
199 Marbledale Road/Tuckahoe, NY 10707/Tel: (914) 961-2000/Fax: (914) 961-7231
Di
s
2X = ( Di + e )
Y = ( + e )
cos e cos n cos ne sin n sin
sin e cos n sin ne sin n cos2Di
)3
)3
Dm20
2)
Di
= Number of Lobes or Sidesn= The angle of rotation of the work piece