Basic Brake Calculation Formulas

Input parameters

Input force: F

Outside diameter: D

Inside diameter: D 0 (for disc and cone brakes only)

Width: b

Cone angle: β (for cone brakes only)

Number of brakes (brake surfaces): N

Brake pressure(Max.): p (Max.)

Brake pressure.Speed(Max.): p.v (Max.)

Start speed: n 0

End speed: n 1

Start energy: E, see Energy Calculation chapter

Calculated Parameters

Friction force

for band brakes

 

F t = F (e - 1)

for others

 

F t = F n f

where:

   αLength by angle
 fFriction factor
 F nNormal force
 for disc brakes:
 

F n = F / sin (β)

 for others:
 

F n = F

Brake torque calculation

T = 0.5 D e F t

where:

 

D e

equivalent diameter

  

for cone and disc brakes

   
  

for other D e = D

Pressure calculation

where:

 

A = N b L

brake surface

  

b

width

 
  

L = 0.5 D s α

length

 
     α

angle

   

D s

mean diameter, for cone and disc brakes D s = 0.5 (D + D 0 )

    

for other D s = D

Rough check of warming a brake

p ≤ p (M ax. )

p v ≤ p v (M ax. )

where:

 

v = π D n 0 / 60

start circumferential speed

   

Calculation of braking time

where:

  

reduced moment of inertia

  

speed/revolutions [rad/s]

Number of revolutions until stop

Output Force F0

for band brakes only:

F 0 = F + F t = F e fα