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Polygon Design Data 199 Marbledale Road / Tuckahoe, NY 10707 / Tel: (914) 961-2000 / Fax: (914) 961-7231

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Page 1: Polygon Design Data - stoffelpolygonsystems.com · .545 .455.680 .570.815 .685.945 .805.905 ... cos e cos n cos ne sin n sin sin e cos n sin ne sin n cos Ix t l Da Di e n = The angle

PolygonDesignData

199 Marbledale Road / Tuckahoe, NY 10707 / Tel: (914) 961-2000 / Fax: (914) 961-7231

Page 2: Polygon Design Data - stoffelpolygonsystems.com · .545 .455.680 .570.815 .685.945 .805.905 ... cos e cos n cos ne sin n sin sin e cos n sin ne sin n cos Ix t l Da Di e n = The angle

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

Page 3: Polygon Design Data - stoffelpolygonsystems.com · .545 .455.680 .570.815 .685.945 .805.905 ... cos e cos n cos ne sin n sin sin e cos n sin ne sin n cos Ix t l Da Di e n = The angle

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

Page 4: Polygon Design Data - stoffelpolygonsystems.com · .545 .455.680 .570.815 .685.945 .805.905 ... cos e cos n cos ne sin n sin sin e cos n sin ne sin n cos Ix t l Da Di e n = The angle

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

Page 5: Polygon Design Data - stoffelpolygonsystems.com · .545 .455.680 .570.815 .685.945 .805.905 ... cos e cos n cos ne sin n sin sin e cos n sin ne sin n cos Ix t l Da Di e n = The angle

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


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