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Contents of the Design of Bevel Gears PDF

List of 20 Design of Bevel Gears Formulas

Actual Number of Teeth on Bevel Gear

Axial or Thrust Component of Force on Bevel Gear

Back Cone Radius of Bevel Gear

Beam Strength of Tooth of Bevel Gear

Bevel Factor

Cone Distance of Bevel Gear

Geometric step ratio

Material Constant for Bevel Gear Wear Strength

Material Constant for Bevel Gear Wear Strength given Brinell Hardness Number

Power Transmitted

Radial Force Component Acting on Bevel Gear

Radius of Pinion at Midpoint along Face Width for Bevel Gear

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear

Range ratio in preferred Series

Ratio Factor for Bevel Gear

Tangential Force on Bevel Gear Teeth

Velocity Factor for Cut Teeth of Bevel Gear

Velocity Factor for Generated Teeth of Bevel Gear

Virtual or Formative Number of Teeth of Bevel Gear

Wear Strength of Bevel Gear by Buckingham's Equation

Variables used in Design of Bevel Gears PDF

a Geometric step ratio
A₀ Cone Distance (Millimeter)
b Face Width of Bevel Gear Tooth (Millimeter)
B_f Bevel Factor
BHN Brinell Hardness Number for Bevel Gear
C_{v cut} Velocity Factor for Cut Teeth
C_{v gen} Velocity Factor for Generated Teeth
D_g Pitch Circle Diameter of Gear (Millimeter)
D_p Pitch Circle Diameter of Bevel Pinion (Millimeter)
E_g Modulus of Elasticity of Spur Gear (Newton per Square Millimeter)
E_p Modulus of Elasticity of Spur Pinion (Newton per Square Millimeter)
K Material Constant (Newton per Square Millimeter)
LL Minimum dimension/rating of product (Meter)
m Module of Bevel Gear (Millimeter)
M_t Torque Transmitted by Bevel Pinion (Newton Millimeter)
n Quantity of product(Enter integer value only)
N Speed of Rotation (1 per Second)
P_a Axial or Thrust Component on Bevel Gear (Newton)
P_r Radial Force on Bevel Gear (Newton)
P_t Tangential Force Transmitted by Bevel Gear (Newton)
Q_b Ratio Factor for Bevel Gear
R Range ratio in preferred Series
r_b Back Cone Radius (Millimeter)
r_m Radius of Pinion at Midpoint (Millimeter)
S_b Beam Strength of Bevel Gear Teeth (Newton)
S_w Wear Strength of Bevel Gear Tooth (Newton)
UL Maximum dimension/rating of product
v Pitch Line Velocity of Bevel Gear (Meter per Second)
W_shaft Shaft Power (Kilowatt)
Y Lewis Form Factor
z_g Number of Teeth on Bevel Gear
z_p Number of Teeth on Pinion
z^' Virtual Number of Teeth for Bevel Gear
α_Bevel Pressure Angle (Degree)
γ Pitch Angle for Bevel Gear (Degree)
σ_b Bending Stress in Bevel Gear Teeth (Newton per Square Millimeter)
σ_c Compressive Stress in Bevel Gear Tooth (Newton per Square Millimeter)
τ Torque applied (Newton Meter)

Constants, Functions and Measurements used in Design of Bevel Gears PDF

Constant: pi, 3.14159265358979323846264338327950288
Archimedes' constant
Function: cos, cos(Angle)
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Function: sin, sin(Angle)
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Function: sqrt, sqrt(Number)
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Function: tan, tan(Angle)
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Measurement: Length in Millimeter (mm), Meter (m)
Length Unit Conversion
Measurement: Pressure in Newton per Square Millimeter (N/mm²)
Pressure Unit Conversion
Measurement: Speed in Meter per Second (m/s)
Speed Unit Conversion
Measurement: Power in Kilowatt (kW)
Power Unit Conversion
Measurement: Force in Newton (N)
Force Unit Conversion
Measurement: Angle in Degree (°)
Angle Unit Conversion
Measurement: Torque in Newton Meter (N*m), Newton Millimeter (N*mm)
Torque Unit Conversion
Measurement: Vorticity in 1 per Second (1/s)
Vorticity Unit Conversion
Measurement: Stress in Newton per Square Millimeter (N/mm²)
Stress Unit Conversion

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