Key to the project planning procedures

Formula symbol

Unit

Description

Source

aBmax

m × s-2

Maximum typical deceleration when braking

 

d0

mm

Diameter of the output shaft transmission element

  • Application

fAd

-

Dynamic application factor for checking the emergency stop function

  • "Static and dynamic application factors fAs and fAd"  

fAs

-

Static application factor for checking the holding function

  • "Static and dynamic application factors fAs and fAd"  

fbrake,output

-

Design-dependent output factor

fMmax

-

Correction factor for determining the minimum braking time, minimum stopping distance, and maximum deceleration

fMmin

-

Reduction factor for determining max. braking time, max. stopping distance, and min. deceleration

fEmergOff

-

Factor for determining MaEmergOff depending on the gear unit

FR,brake

N

Resulting gear unit load due to the radial force generated

 

FRapk

N

Permitted radial force on the output end for Mapk. Applies when the point of force application is at the center of the shaft end for solid shafts, or at the face end in the case of hollow shafts.

FRaEmergOff

N

Maximum permitted emergency‑stop radial force for the output shaft. Applies when the point of force application is at the center of the shaft end, or at the face end in the case of hollow shafts.

fV

-

Wear factor; determined based on the applied load range for braking work

fZ

-

Correction factor for the radial force

  • Product documentation

i

-

Gear unit ratio

  • Product documentation

JM

kgm²

Mass moment of inertia of the motor (incl. mount-on components), based on the motor shaft

  • Product documentation

JG

kgm²

Mass moment of inertia of the gear unit, based on the motor shaft

  • Product documentation

JL

kgm²

Mass moment of inertia of the application, based on the motor shaft

  • Application

Mamax

Nm

Limit value of the gear unit load capacity: maximum permitted output torque

  • Product documentation

MaEmergOff

Nm

Limit value of the gear unit load capacity: maximum permitted emergency-stop torque

  • Product documentation

Mapk

Nm

Limit value of the gear unit load capacity: maximum permitted peak torque

  • Product documentation

M1

Nm

Characteristic value of the dynamic braking torque

M4,100°C

Nm

Characteristic value of the static braking torque at +100 °C

Mbrake, output

Nm

Resulting gear unit load from the braking torque, based on gear unit output shaft

 

ML

Nm

Static load torque at the motor shaft.

• Horizontal + vertical (upward):

The efficiency of the application and the gear unit are taken into account as unfavorable factors.

• Vertical (downwards):

The efficiency of the application and the gear unit are taken into account as favorable factors.

 

ML,a

Nm

Static load torque value at the output shaft, efficiency not considered

  • Application

NB2

-

Number of permitted emergency-stop braking operations until brake maintenance

NB2max

-

Number of permitted emergency-stop braking operations until end of service life

nD

min-1

Change in motor speed until brake application

 

nm

min-1

Relevant speed of the application referenced to the motor shaft

  • Application

nMax,0

min-1

Maximum permitted operating speed of the brakemotor

nMax,1

min-1

Maximum permitted emergency stop speed depending on the use case

nEmergStop

min-1

Real emergency stop speed relevant for check

 

ηG

-

Gear unit efficiency

  • Product documentation

ηG'

-

Back-driving gear unit efficiency (for gear units with ηG < 90%)

 

ηL

-

Efficiency of the application

  • Application

sAmax

m

Maximum typical stopping distance

sBmax

m

Maximum typical braking distance

t2

s

Brake application time. Depending on the brake connection type, use t2,I or t2,II.

t2,I

s

Brake application time for cut-off in the AC circuit (AC shutdown)

t2,II

s

Brake application time for cut-off in the DC and AC circuit (AC/DC shutdown) as well as for DC-side disconnection (DC shutdown)

tBmax

s

Maximum typical braking time

 

tBmin

s

Minimum typical braking time

 

tSignal

s

System signal propagation time

  • Application

vL

m × s-1

Relevant speed of the load or application at the point in time when the emergency stop is requested

  • Application

vEmergStop

m s-1

Real speed of the load or application when the emergency stop begins

 

W1

J

Maximum occurring braking work during emergency stop

 

Winsp

J

Permitted work until brake inspection

Wper,n

J

Maximum permitted braking work for emergency stop depending on the emergency stop speed

Wper,T

J × h-1

Permitted braking work depending on the number of braking operations per
hour

Z

h-1

Required cycle switching frequency

  • Application

ZB0

h-1

Maximum permitted no-load switching frequency of the brake (without considering the motor)

ZB1

h-1

Permitted emergency-stop switching frequency for BZ../BZ.D/BZ.Z brakes

ZB1max

h-1

Maximum permitted emergency-stop switching frequency (depending on the load range)