118

9.10 Calculation for types of GearCalculation for Standard spur gear

Fulldepthtooth

DescriptionToothprofile Vocabulary Pinion Gear

Module m 1.5No.ofteeth Z 20 60Referencepressureangle α 20°Rackshiftcoefficient x 0.0000 0.0000Addendum ha 1.500 1.500Dedendum hf 1.875 1.875Toothdepth h 3.375Bottomclearance c 0.375Referencediameter d 30.000 90.000Tip(Outside)diameter da 33.000 93.000RootDiameter df 26.250 86.250Basediameter db 28.191 84.572Basehelixangle β b 0° 0’0”Centredistance a 60.0000Workingpressureangle α w 20° 0’0”IntermeshingPCD dw 30.000 90.000Chordalheight h 1.546 1.515

Chordaltooththickness s 2.354 2.356Sectorspanofteeth zm (3) (7)Sectorspan W 11.491 30.044OverballsorRollers dp 2.500 2.500OverballsorRollersdimension dm 33.268 93.309

Calculation for Standard internal gearFulldepthtooth

DescriptionToothprofile Vocabulary Pinion Gear

Module m 1No.ofteeth z 20 100Pressureangle α 20°Addendum ha 1.000 1.000Dedendum hf 1.250 1.250Toothdepth h 2.250 2.250Bottomclearance c 0.250 0.250Referencediameter d 20.000 100.000Tip(Outside)diameter da 22.000 98.000Rootdiameter df 17.500 102.500Centredistance α 40.000Transversecontactratio ε a 1.860Sectorspanofteeth zm (3) (12)Sectorspan W 7.660 35.350

119

Calculation for Normal standard helical gear (based on Centre distance)Fulldepthtooth

DescriptionToothprofile Vocabulary Pinion Gear

Module mn 2No.ofteeth z 30 60Referencepressureangle α 20°Referencecylinderhelixangle β 20° 0’0”Directionofhelix Right LeftRackshiftcoefficient xn 0.00000 0.0000Addendum ha 2.000 2.000Dedendum hf 2.500 2.500Toothdepth h 4.500Bottomclearance c 0.500Referencediameter d 63.851 127.701Tip(Outside)diameter da 67.851 131.701Rootdiameter df 58.851 122.701Basediameter db 59.540 119.081Basehelixangle β b 18° 44’50”Centredistance a 95.7760Workingpressureangle α w 21° 10’22”IntermeshingPCD dw 63.851 127.701Chordalheight h 2.034 2.017Chordaltooththickness s 3.141 3.141Sectorspanofteeth zm (5) (9)Sectorspan W 27.572 52.193OverballsorRollers dp 3.500 3.500OverballsorRollersdimension dm 68.844 132.743

Calculation for Normal standard crossed helical gear (Screw gear)Fulldepthtooth

DescriptionToothprofile Vocabulary Pinion Gear

Module mn 2No.ofteeth z 13 26Referencepressureangle α 20°Referencecylindrerhelixangle β 45° 0’0” 45° 0’0”Directionofhelix Right LeftRackshiftcoefficient xn 0.0000 0.0000Addendum ha 2.000 2.000Dedendum hf 2.500 2.500Toothdepth h 4.500Bottomclearance c 0.500Referencediameter d 36.770 73.539Tip(Outside)diameter da 40.770 77.539Rootdiameter df 31.770 68.539Basediameter db 32.693 65.386Basehelixangle β b 41°38’28” 41° 38’28”Centredistance a 55.1543Normalworkingpressureangle α wn 20° 0’0” 20° 0’0”Transverseworkingpressureangle α wt 27° 14’11” 27° 14’11”IntermeshingPCD dw 36.770 73.539Shaftangle ∑ 90° 0’0”Chordalheight h 2.034 2.017Chordaltooththickness s 3.141 3.141Sectorspanofteeth zm (5) (9)Sectorspan W 27.531 52.110OverballsorRollers dp 3.500 3,500OverballsorRollersdimension dm 41.487 78.583

120

Calculation for Normal worm gear and Worm wheelFulldepthtooth

DescriptionToothprofile Vocabulary Wormgear Wormwheel

Module mn 1.5(ma=1.5027)Referencepressureangle α 20°(α a=20° 2’0”)Addendum ha 1.500Dedendum hf 1.875Toothdepth h 3.375Lead pz 4.7209Referencepitch P 4.7209Referencecylinderleadangle γ 3° 26’23”Centredistance a 42.500TypeofWormwheel ∗∗∗∗∗∗ TypeINo.ofthread/No.ofteeth zw/z2 1 40Referencediameter d 25.000 60.108Outsidediameter da 28.000 65.260Rootdiameter df 21.250 56.250Rackshiftcoefficient x ∗∗∗∗∗∗ -0.0360Diameterquotient Q 16.6366 ∗∗∗∗∗∗Throatdiameter dT ∗∗∗∗∗∗ 63.000Gorgeradius rt ∗∗∗∗∗∗ 11.00Facewidth b 30.00 15.00Chordalheight h 1.500 1.468Chordaltooththickness s 2.356 2.316

Calculation for Standard straight bevel gearFulldepthtooth

DescriptionToothprofile Vocabulary Pinion Gear

Module m 1.5No.ofteeth z 20 40Referencepressureangle α 20°Facewidth b 10Addendum ha 1.500Dedendum hf 1.875Toothdepth h 3.375Bottomclearance c 0.375Shaftangle ∑ 90° 0’0”Conedistance Re 33.541Referencediameter d 30.000 60.000Pitchangle δ 26° 33’54” 63° 26’6”Addendumangle θ a 2° 33’38”Dedendumangle θ f 3° 11’59”Tipangle δ a 29° 7’32” 65° 59’44”Rootangle δ f 23° 21’56” 60° 14’7”Outertipdiameter da 32.683 61.342Innertipdiameter di 22.939 43.053Pitchapextocrown X 29.329 13.658Axialfacewidth Xb 8.744 4.072Tooththickness S 2.356Toothangle 190.71(min)Angleofmaterial θ x 87° 26’22” 87° 26’22”Angleofmaterial θ y 63° 26’6” 26° 33’54”Chordaltooththickness s 2.354 2.356Chordalheight h 1.541 1.510Virtualnumberofteethofspurgear(1) zv 22.361 89.443

Note(1)oldgeartermsadopted.

121

Calculation for Gleason system Straight bevel gear Fulldepthtooth

DescriptionToothprofile Vocabulary Pinion Gear

Module m 1.5No.ofteeth z 20 40Referencepressureangle α 20° Facewidth b 10Shaftangle ∑ 90° 0’0”Workingdepth hw 3.000Toothdepth h 3.332Conedistance Re 33.5410Referencediameter d 30.000 60.000Pitchangle δ 26° 33’54” 63° 26’6”Addendum ha 2.018 0.983Dedendum hf 1.265 2.300Bottomclearance c 0.332Addendumangle θ a 3° 55’19” 2° 9’33”Dedendumangle θ f 2° 9’33” 3° 55’19”Tipangle δ a 30° 29’13” 65° 35’38”Rootangle δ f 24° 24’22” 59° 30’47”Outertipdiameter da 33.609 60.879Innertipdiameter di 23.438 42.653Pitchapextocrown X 29.098 14.121Axialfacewidth Xb 8.638 4.135Tooththickness S 2.733 1.979Toothangle 187.2(min) 187.2(min)Materialangle θ x 86° 4’41” 87° 50’27”Materialangle θ y 63° 26’6” 26° 33’54”Chordalheight s 2.729 1.979Chordaladdendum h 2.073 0.990VirtualNo.oftoothofspurgear zv 22.361 89.443

Calculation for Gleason system Spiral bevel gear Fulldepthtooth

DescriptionToothprofile Vocabulary Pinion Gear

Module m 1.5No.ofteeth z 20 40Referencepressureangle α 20° Facewidth b 10Referencecylinderspiralangle β 35° 0’0”Handofspiral 左ねじれ 右ねじれShaftangle ∑ 90° 0’0”Workingdepth hw 2.550Toothdepth h 2.832Conedistance Re 33.541Referencediameter d 30.000 60.000Pitchangle δ 26° 33’54” 63° 26’6”Addendum ha 1.714 0.836Dedendum hf 1.118 1.996Addendumangle θ a 3° 24’19” 1° 54’34”Dedendumangle θ f 1° 54’34” 3° 24’19”Tipangle δ a 29° 58’13” 65° 20’40”Rootangle δ f 24° 39’20” 60° 1’47”Pitchapextocrown da 33.066 60.748Innertipdiameter di 23.057 42.561Outerconedistance X 29.234 14.252Axialfacewidth Xb 8.678 4.174Tooththickness S 2.834 1.878Angleofmaterial θ x 86° 35’41” 88° 5’26”Angleofmaterial θ y 63° 26’6” 26° 33’54”Virtualnumberofteethofspurgear(1) zv 40.681 162.724Note(1)oldgeartermadopted.