ENGRANAJES

RUEDAS RECTAS ENGRANAJE RECTO Valores Caracteristicos:  Número de dientes, z  Módulo, m en mm  Paso=  m

NOMENCLATURA DIMENSIONES: Diámetro medio: D= m z Diámetro de cabeza:D= m (z+2) Diámetro de fondo:D= m (z-2,5)

RUEDAS RECTAS ENGRANAJE RECTO

Geometría de las ruedas rectas

RUEDAS RECTAS FUERZAS GENERADAS Fuerza Tangencial: Ft = Mt / R Fuerza Radial: Fr = Ft Tg  , ángulo de contacto. Valor habitual,  =20º

Diámetro medio: D= m a z Diámetro de cabeza:D= m a (z+2) Diámetro de fondo:D= m a (z-2,5) DIMENSIONES: Valores Caracteristicos:  Número de dientes, z  Módulo, m en mm  Paso=  m   a, ángulo de hélice. Valores habituales de 15º 20º RUEDAS HELICOIDALES Módulo aparente: m a = m / cos  a

RUEDAS HELICOIDALES FUERZAS GENERADAS Fuerza Tangencial: Ft = Mt / R a Fuerza Radial: Fr = Ft Tg  a Tg  a = Tg  / Cos  a Fuerza axial: Fr = Ft Tg  a

RUEDAS CONICAS Valores Caracteristicos:  Número de dientes, z  Módulo, m medio en mm  Paso=  m  1 -  2, ángulos de paso. Ejes perpendiculares:  1 +  2 = 90º Diámetro medio: D= m z Diámetro de cabeza:D= m (z+2) Diámetro de fondo:D= m (z-2,5) DIMENSIONES:

RUEDAS CONICAS FUERZAS GENERADAS Fuerza Tangencial: Ft = Mt / R medio Fuerza Radial: Fr = Ft Tg  Cos  Fuerza axial: Fr = Ft Tg  Sen 

En la figura se muestra una batidora industrial, en la que podemos ver los diferentes tipos de engranajes. Aplicación de los diferentes tipos de ruedas

Engranaje, tornillo sin fín a.) de dientes cilíndricos b.) doble envolvente.

Pasos diametrales preferidos Pasos diametrales preferidos para cuatro clases de dientes

Pasos diametrales Pasos diametrales estándares comparados con el tamaño del diente. Se supone un tamaño real

Addendum, Dedendum and Clearance Table 14.2 Formulas for addendum, dedendum, and clearance (pressure angle 20°, full-depth involute.) Text Reference: Table 14.2, page 623

Pitch and Base Circles Figure 14.8 Pitch and base circles for pinion and gear as well as line of action and pressure angle. Text Reference: Figure 14.8, page 624

Involute Curve Figure 14.9 Construction of involute curve. Text Reference: Figure 14.9, page 625

Contact Ratio Figure Illustration of parameters important in defining contact ratio. Text Reference: Figure 14.10, page 629

Line of Action Figure Details of line of action, showing angles of approach and recess for both pinion and gear. Text Reference: Figure 14.11, page 629

Backlash Figure Illustration of backlash in gears. Text Reference: Figure 14.12, page 632

Recommended Minimum Backlash Table 14.3 Recommended minimum backlash for coarse-pitch gears. Text Reference: Table 14.3, page 633

Externally Meshing Spur Gears Text Reference: Figure 14.13, page 635 Figure Externally meshing spur gears.

Internally Meshing Spur Gears Figure Internally meshing spur gears. Text Reference: Figure 14.14, page 635

Simple Gear Train Figure Simple gear train. Text Reference: Figure 14.15, page 636

Compound Gear Train Figure Compound gear train. Text Reference: Figure 14.16, page 636

Example 14.7 Figure Gear train used in Example Text Reference: Figure 14.17, page 637

Allowable Bending Stress vs. Brinell Hardness Figure Effect of Brinell hardness on allowable bending stress for two grades of through-hardened steel [ANSI/AGMA Standard F90, Gear Nomenclature, Definition of Terms with Symbols, American Gear Manufacturing Association, 1990.] Text Reference: Figure 14.18, page 638

Contact Stress vs. Brinell Hardness Figure Effect of Brinell Hardness on allowable contact stress for two grades of through-hardened steel. [ANSI/AGMA Standard 1012-F90, Gear Nomenclature, Definition of Terms with Symbols, American Gear Manufacturing Association, 1990.] Text Reference: Figure 14.19, page 639

Forces on Gear Tooth Figure Forces acting on individual gear tooth. Text Reference: Figure 14.20, page 640

Bending Stresses Figure Forces and length dimensions used in determining bending tooth stresses. (a) Tooth; (b) cantilevered beam. Text Reference: Figure 14.20, page 641

Lewis Form Factors Table 14.4 Lewis form factors for various numbers of teeth (pressure angle 20°, full depth involute). Text Reference: Table 14.4, page 642

Spur Gear Geometry Factors Figure Spur gear geometry factors for pressure angle of 20° and full- depth involute. [ANSI/AGMA Standard 1012-F90, Gear Nomenclature, Definition of Terms with Symbols, American Gear Manufacturing Association, 1990.] Text Reference: Figure 14.21, page 643

Application Factor Table 14.5 Application factor as a function of driving power source and driven machine. Text Reference: Table 14.5, page 643

Size Factor Table 14.6 Size factor as a function of diametral pitch or module. Text Reference: Table 14.6, page 644

Load Distribution Factor Figure Load distribution factor as function of face width and ratio of face width to pitch diameters. Commercial quality gears assumed. [From Mott (1992).] Text Reference: Figure 14.23, page 645

Dynamic Factor Text Reference: Figure 14.24, page 645 Figure Dynamic factor as function of pitch-line velocity and transmission accuracy level number.

Helical Gear Figure Helical gear. (a) Front view; (b) side view. Text Reference: Figure 14.25, page 651

Pitches of Helical Gears Figure Pitches of helical gears. (a) Circular; (b) axial. Text Reference: Figure 14.26, page 652

Motor Torque and Speed Figure Torque and speed of motor as function of current for industrial mixer used in case study. Text Reference: Figure 14.28, page 655