Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g

BEVEL GEARS

WE ARE GOING TO EXPLAIN BEVEL GEARS WITH STRAIGHT TEETH

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g THIS IS THE REPRESENTATION WHEN TWO WHEELS MESH. THE TWO PITCH CONES MUST BE REPRESENTED AND THE IMAGINARY VERTEX, AS EXPLAINED IN THE VIDEO.

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g AS IN THE OTHER TYPES OF GEARS

n rotational frecuency Z number of teeth

WHEEL 2

GR gear ratio

GR=n1/n2 =

Z2/Z1

GR > 1

WHEEL 1

n1 > n2 Z2 > Z1

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g PITCH CONES WHICH ARE TANGENT

dp1, dp2, PITCH DIAMETERS

m

Module Module    has standard values and it is equal for both wheels

m dp1/Z1= dp2/Z2 m=dp m=

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g

SLANT HEIGHT L

L=

dp1

2

dp2

2

( )+ ( ) 2

2

L

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g

PITCH ANGLES

(NOT DEMONSTRATED)

FOR WHEELS WITH PERPENDICULAR AXIS

tg β1 = = β2 β1

tg β2 = 

Z1 Z2 Z2 Z1

=90°° β1 + β2 =90

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g

Addendum angle

θa θa= arctg a/L

L

REMEMBER AS IN OTHER GEARS

a=m a θa

AS WE HAVE ALREADY SEEN

L=

dp1

2

dp2

2

( )+ ( ) 2

2

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g FACE ANGLE βa NEEDED FOR DIMENSIONNING

βa = β1+ θa

L

tg β1 = 

a θa

Z1 Z2

tgθ tg θa=a/L

β1

βa

L=

dp1

2

dp2

2

( )+ ( ) 2

2

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g

de

β

OUTSIDE DIAMETER NEEDED FOR DIMENSIONNING

de= de =dp dp+2 +2a acos cosβ β

β

de= de =dp dp+ +2mcos cosβ β

β

β

de Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g BACK CONE ANGLE NEEDEN FOR DIMENSIONNING

back cone angle β

90°° - β 90

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g THIS IS THE DIMENSIONNING FOR THE BEVEL WHEEL, AS PRESENTED IN THE VIDEO

DIMENSIONS IN GREEN ARE MANDATORY BUT ARE NOT OBTAINED BY FORMULAS

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

Technical ec ca d drawing a g fo for mechanical ec a ca eengineering g ee g

AS EXPLAINED, THE EXTERNAL SHAPE OF GEARS MUST BE DIMENSIONED IN THE DRAWING. OTHER INFORMATION LIKE NUMBER OF TEETH TEETH, MODULE, MODULE PITCH DIAMETER, ETC. CAN BE INCLUDED AS ADDITIONAL INFORMATION IN THE DRAWING.

Module 2   Module  2  Frequently Frequently‐‐Used Standarized Parts TO LEARN MORE: FORMULAS FOR GEARS

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