Spur Gears - Norfolk Bearings and Supply Company, Inc.

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Helical Gear Formulas To Obtain Having Formula Number of Teeth (N) & P = N Transverse Pitch Diameter (D) D Diametral Pitch (P) Normal Diametral Pitch (Pn) Helix Angle (ψ) P = PNCosψ Pitch Diameter (D) Number of Teeth (N) & D = N Transverse Diametral Pitch (P) P Normal Transverse Diametral Pitch (P) PN = P Diametral Pitch (PN) & Helix Angle (ψ) Cosψ Normal Circular Normal Diametral Pitch (P ) N τ = 1.5708 Tooth Thickness (τ) PN Transverse Diametral Pitch (P) p = t π Circular Pitch (pt) Normal Circular Pitch (pn) Lead (L) (Transverse) Transverse Circular Pitch (p) Pitch Diameter and P p = p Cosψ n t L = πD Pitch Helix Angle Tanψ Transverse Vs. Normal Diametral Pitch for Boston 45° Helical Gears P Transverse PN Normal Diametral Pitch Diametral Pitch 24 33.94 20 28.28 16 22.63 12 16.97 10 14.14 8 11.31 6 8.48 Engineering Information Helical Gear Lewis Formula Helical Gears The beam strength of Helical Gears operating on parallel shafts can be calculated with the Lewis Formula revised to compensate for the difference between Spur and Helical Gears, with modified Tooth Form Factors Y. W= SFY P N 600 600 + V W =Tooth Load, Lbs. (along the Pitch Line) S =Safe Material Stress (static) Lbs. per Sq. In. (Table III) F =Face Width, Inches Y =Tooth Form Factor (Table IV) PN=Normal Diametral Pitch (Refer to Conversion Chart) D =Pitch Diameter V =Pitch Line Velocity, Ft. Per Min. = .262 x D x RPM Table III–Values of Safe Static Stress (s) Material (s) Lb. per Sq. In. Bronze . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10000 Cast Iron . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12000 { .20 Carbon (Untreated) . . . . . . . . . . . . . . . . 20000 .20 Carbon (Case-hardened) . . . . . . . . . . . 25000 Steel .40 Carbon (Untreated) . . . . . . . . . . . . . . . . 25000 .40 Carbon (Heat-treated) . . . . . . . . . . . . . . 30000 .40 C. Alloy (Heat-treated) . . . . . . . . . . . . . . 40000 Table IV—Values of Tooth Form Factor (Y) FOR 14-1/2°PA—45° HELIX ANGLE GEAR No. of Factor No. of Factor Teeth Y Teeth Y 8 .295 25 .361 9 .305 30 .364 10 .314 32 .365 12 .327 36 .367 15 .339 40 .370 16 .342 48 .372 18 .345 50 .373 20 .352 60 .374 24 .358 72 .377 Horsepower and Torque Max. allowable torque (T) that should be imposed on a gear will be the safe tooth load (W) multiplied by D or T = W x D 2 2 The safe horsepower capacity of the gear (at a given RPM) can be calculated from HP = T x RPM or directly from (W) and (V); 63,025 HP = WV 33,000 For a known HP, T = 63025 x HP RPM P-1930-BG 04/10 Boston Gear 800-825-6544 305 I
I Engineering Information Helical Gears When Helical gears are operated on other than Parallel shafts, the tooth load is concentrated at a point, with the result that very small loads produce very high pressures. The sliding velocity is usually quite high and, combined with the concentrated pressure, may cause galling or excessive wear, especially if the teeth are not well lubricated. For these reasons, the tooth load which may be applied to such drives is very limited and of uncertain value, and is perhaps best determined by trial under actual operating conditions. If one of the gears is made of bronze, the contact area and thereby the load carrying capacity, may be increased, by allowing the gears to “run-in” in their operating position, under loads which gradually increase to the maximum expected. DRIVER DRIVER DRIVER RIGHT HAND LEFT- HAND LEFT-HAND THRUST BEARING Thrust Loads RIGHT-HAND As a result of the design of the Helical Gear tooth, an axial or thrust load is developed. Bearings must be adequate to absorb this load. The thrust load direction is indicated below. The magnitude of the thrust load is based on calculated Horsepower. 126,050 x HP Axial Thrust Load = RPM x Pitch Diameter Boston Helicals are all 45° Helix Angle, producing a tangential force equal in magnitude to the axial thrust load. A separating force is also imposed on the gear set based on calculated Horsepower. Separating Load = Axial Thrust Load x .386 Above formulae based on Boston 45° Helix Angle and 14-1/2° Normal Pressure Angle. THRUST BEARING DRIVER THRUST BEARING DRIVER DRIVER See page 118 for hardened and ground Thrust Washers. 306 Boston Gear 800-825-6544 P-1930-BG 04/10
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A L T R A I N D U S T R I A L M O T
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Table Of Contents Stock Altered and
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With thousands of stock gears avail
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Custom Gearing “Request For Quota
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Custom Gearing Capabilities Gear Ty
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Gear Selection Stock Gears Spur Gea
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Product Selection / Reference Guide
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Boston Gear Helical Gears ■ Paral
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Boston Gear Worms and Worm Gears
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A Spur Gears 48 and 32 Diametral Pi
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A Spur Gears 10 and 8 Diametral Pit
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A Spur Gears 6 and 5 Diametral Pitc
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A Change Gears 20 Diametral Pitch (
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A Change Gears 12 Diametral Pitch (
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A Change Gears 8 Diametral Pitch (S
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A Drawn Pinion Wire 48, 32 and 24 D
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A Internal Gears 48 through 16 Diam
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A Spur Gears 48 Diametral Pitch (De
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A Spur Gears 32 Diametral Pitch (De
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A Spur Gears 6 and 5 Diametral Pitc
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A Internal Gears 64 through 24 Diam
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A Spur Gears Approximate Horsepower
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B Helical Gears 24 through 10 Trans
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B Helical Gears Selection Procedure
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B Helical Gears Approximate Horsepo
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C Miter Gears 48 through 20 Diametr
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C Miter Gears 8 through 4 Diametral
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C Bevel Gears 48 through 20 Diametr
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C Bevel Gears 12 and 10 Diametral P
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C Spiral Bevel Gears 30 through 8 D
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C Miter Gears Steel & Iron - Straig
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C Bevel Gears Steel & Iron - Straig
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C Notes 84 Boston Gear 800-825-6544
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D Worms & Worm Gears 48 Diametral P
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D Worms & Worm Gears 8 Diametral Pi
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D Worms & Worm Gears 4 Diametral Pi
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D Worms & Worm Gears Selection Proc
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D Worms & Worm Gears Steel-Hardened
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E Shaft Couplings FC Series Insert
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E Shaft Couplings BF Series Bost-Fl
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E Shaft Couplings SCC Series Clampi
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E Shaft Couplings FCP Series Sleeve
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E Universal Joints J/JS Series Bore
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E Universal Joints UJNS/UJNL Series
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E Universal Joints JP Series Single
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E Setscrew Collars SC/SSC Series St
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E Clamping Collars CSC/CSSC/CASC Se
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E Thrust Washers Steel and Stainles
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E Grooved Pulleys G1200 Round Belt
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E Miniature Timing Belts and Pulley
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E Miniature HTD ® Timing Belts 3M
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E Timing Belt Pulleys PA Series For
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E Timing Belt Pulleys PLB Series Fo
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E Miniature HTD ® Timing Belts 5M
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E Timing Belt Pulleys PA Series For
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E Timing Belt Pulleys PLB Series Fo
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F BOST-BRONZ Oil-Impregnated Sinter
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F BEAR-N-BRONZE 660 Cast Bronze Bea
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F Bronze Bearing Emergency Banks Ac
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F BOStonE F-1 Glass Filled Teflon B
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F RULON ® 641 Bearings Boston Gear
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F BOStonE Molded Plastic Bearings B
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F BOStonE Molded Plastic Bearings R
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F BOStonE Molded Plastic Bearings G
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F BOStonE Molded Nylon Bearings Pla
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F Engineering Information Sleeve Be
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F Engineering Information Sleeve Be
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F Engineering Information Lubricati
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F Engineering Information Shaft Cle
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F Engineering Information Machining
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F Anti-Friction Bearings Ball Beari
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F Anti-Friction Bearings 1600 Serie
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F Anti-Friction Bearings Flanged 40
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F Anti-Friction Bearings 600 Series
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F Self-Aligning Bearings KF Female
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F Self-Aligning Bearings CMHD Male/
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F Self-Aligning Bearings HME Male/H
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F Self-Aligning Bearings LHA-LHB-LH
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F Self-Aligning Bearings LS/LSS Ser
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F Engineering Information Engineeri
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F Engineering Information Engineeri
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F Mounted Bearings Replacement Bear
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F Mounted Bearings Replacement Bear
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F Mounted Ball Bearings PS Series P
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F Mounted Ball Bearings L/H Series
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F Mounted Ball Bearings SL/SH Serie
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F Mounted Ball Bearings MB Series P
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F Mounted Ball Bearings XL2/XL3 Ser
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F Mounted Ball Bearings F/T Series
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F Mounted Ball Bearings SF/ST Serie
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F Mounted Ball Bearings MBP Series
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F Mounted Bearings TU Series Take-U
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F Engineering Information Analysis
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F Engineering Information Mounted B
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F Engineering Information Applicati
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F Notes 240 Boston Gear 800-825-654
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G Roller Chains Description of Roll
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G Roller Chains ANSI Standard Doubl
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G Engineering Information Conveyor
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G Engineering Information Conveyor
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G Notes 250 Boston Gear 800-825-654
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G Roller Chains Hollow Pin Single a
Page 259 and 260: G Ladder Chain Steel-Stainless Stee
Page 261 and 262: G Chain Pullers Chain Breaking Tool
Page 263 and 264: H Chain Drives Roller Chain Sprocke
Page 265 and 266: H Roller Chain Drives Horsepower Ra
Page 267 and 268: H Roller Chain Drives Horsepower Ra
Page 269 and 270: H Roller Chain Drives Selection SPE
Page 271 and 272: H Miniature Chain Sprockets Single
Page 273 and 274: H Roller Chain Sprockets Single Str
Page 295 and 296: H Block Chain Sprockets Type B Sing
Page 297 and 298: H Ladder Chain Sprockets Type B Sin
Page 299 and 300: H Roller Chain Drive Tensioners Typ
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Page 303 and 304: I Engineering Information Spur Gear
Page 309: I Engineering Information Helical G
Page 313 and 314: I Engineering Information Miter and
Page 315 and 316: I Engineering Information Worms and
Page 317 and 318: I Engineering Information Couplings
Page 319 and 320: I Engineering Information General M
Page 321 and 322: I Engineering Information Sprockets
Page 323 and 324: I Engineering Information Sprocket
Page 325 and 326: I Engineering Information Temperatu
Page 327 and 328: I Engineering Information Metric Co
Page 329 and 330: I Engineering Information Applicati
Page 331 and 332: I Index to Catalog Numbers Catalog
Page 333 and 334: I Index to Catalog Numbers Catalog
Page 335: Altra Industrial Motion All Custome
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