4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear...

20
Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 33 4 Additional documentation Project Planning for Drives 4 4 Project Planning for Drives 4.1 Additional documentation In addition to the information in this catalog, SEW-EURODRIVE offers extensive documentation covering the entire topic of electrical drive engineering. This is primarily documentation from the "Drive Engineering Practical Implementation" series. You can order the current documentation from SEW-EURODRIVE. The documentation can also be downloaded in PDF format from the SEW homepage (http://www.sew-eurodrive.de). Drive Engineer- ing Practical Implementation The publication "Drive Engineering Practical Implementation Drive Arrangements with SEW Gear Units" features extensive information on characteristics, different features and application areas of SEW drives. A comprehensive collection and assignment of the most important formulae for drive calculation as well as detailed examples for the most frequently used applications make this documentation an important tool for project planning and an essential addition to SEW-EURODRIVE product catalogs.

Transcript of 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear...

Page 1: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 33

4Additional documentationProject Planning for Drives

4

4 Project Planning for Drives4.1 Additional documentation

In addition to the information in this catalog, SEW-EURODRIVE offers extensivedocumentation covering the entire topic of electrical drive engineering. This is primarilydocumentation from the "Drive Engineering Practical Implementation" series. You canorder the current documentation from SEW-EURODRIVE. The documentation can alsobe downloaded in PDF format from the SEW homepage (http://www.sew-eurodrive.de).

Drive Engineer-ing Practical Implementation

The publication "Drive Engineering Practical Implementation Drive Arrangements withSEW Gear Units" features extensive information on characteristics, different featuresand application areas of SEW drives. A comprehensive collection and assignment of themost important formulae for drive calculation as well as detailed examples for the mostfrequently used applications make this documentation an important tool for projectplanning and an essential addition to SEW-EURODRIVE product catalogs.

Page 2: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

34 Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal

4 Project planning procedureProject Planning for Drives

4.2 Project planning procedureThe following flow diagram illustrates the process for the project planning of a series Xindustrial gear unit.

60605AEN

Fill out the drive selection sheet

Calculate the basic data

Select the application factors

Calculate the required gear unit

nominal torque

Select the gear unit size

Check the thermal rating

Check the peak load conditions

M , , , n P i,

F , F , F

M

M

M M

K2 2 K2

smin F start

N2min

N2

K2 max K2 per<

Query

Step 1

Step 2

Step 3

Step 4

Step 5

Calculate the required motor power

PM

Step 6

Step 7

Step 9

Calculate the thermal rating

Step 8

P T

= P TH

x f 1

P K1 < P

T

Check the external additional forces

F , F , F , FR2 R1 A1 A2

Step 10

Select the optional equipment

(if required), e.g.

– Oil drain valve

– Alternative sealing system

– Motor connection (e.g. motor adapter)

– Connection for auxiliary drive

– Status monitoring

– Drive package for conveyor belt drives

(incl. swing base, drive coupling, ...)

– Surface protection as well as final color

Step 11

Summary of

technical information

Step 12

Page 3: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 35

4Project planning procedureProject Planning for Drives

4

4.2.1 Step 1: Drive selection data

60603AEN

1.0 Machine on LSS (Normally a driven machine)

1.3 Ambient temperature [°C] [...]

Normal Min.

1.5 Gear unit installation [X]

Small space (va ≥ 0.5 m/s)

Large spaces and halls (va ≥ 1.4 m/s)

Installed outdoors with protection from sun (va ≥ 3 m/s)

1.6 Ambient conditions [X]

Normal

Dusty

Damp

Corrosive

Dry

1.4 Installation altitude [m] [...]

Max.

2.0 Load characteristics

2.1 Required speed n2 [1/min] [...]

2.2 Operating power on HSS PK1 [kW] [...]

2.3 Operating torque on LSS MK2 [kNm] [...]

2.4 Frequency of peak loads (MK2 max. or PK1 max.) [...]

Normal Min. max.

per hour

2.5 Number of startups per hour [...]

start-ups

2.6 Direction of rotation under load (LSS) [X]

Clockwise (CW)

Counterclockwise (CCW)

Both directions

Reversible

2.7 Operating time/day [X]

≤ 3 hours

3 ... 10 hours

> 10 hours

2.8 Backstop required [X]

No

Yes

2.9 Exact load cycle attached [X]

No

Yes

3.0 Machine on HSS (normally a drive machine)

3.1 Type: [X]

AC motor AC motor/inverter DC motor

Hydraulic motor Servomotor

3.2 Motor power PM [kW] [...]

3.4 Motor torque MM [kNm] [...] 3.5 Drive speed n1 [1/min] [...]

3.6 If electric motor: [X] [...]

IEC

NEMA

Motor size (IEC or NEMA code):

3.7 Motor mounting position [X] [...]

B3

B5

V1

Other:

4.0 Gear unit requirements

4.1 Gear unit type [X]

Helical gear unit X.F.. Bevel-helical gear unit X.K..

4.4 Shaft position [X]

Normal Min. Max.

Normal Min. max.

Normal Min. max.

Normal Min. Max. Normal Min. Max.

0 1 2

3 4

1.1 Field of application/industry

1.2 Application [...]

4.2 Mounting position [X]

M1

M2

M3

M4

M5

M6

4.3 Mounting surface* [X]

F1

F2

F3

F4

F5

F6

3.3 Motor speed nM [kW] [...]

Normal Min. Max.

Key: [...] = Value to be filled in

[X] = Mark your selection with

4

1

2

3

0

4

3

Page 4: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

36 Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal

4 Project planning procedureProject Planning for Drives

60606AEN

4.6 Required service factor FS min. [X] [...]

4.7 Required bearing service life Lh min [...]

Foot-mounted

Flange-mounted

Torque Arm

4.9 LSS connection to customer

machine shaft [X] [...]

Elastic coupling (claw coupling or pin coupling)

Flexible coupling

Rigid flange coupling

Drum coupling

Chain sprocket

4.8 Housing fixation [X]

4.10 LSS gear unit version [X] [...]

LSS version (if solid shaft)

4.15 Electrical supply [X] [...]

4.11 HSS connection to motor [X]

Customer installation (base frame)

Motor power PM / Motor torque MM

Operating power PK1 /

Operating torque MK1

based on

Hours

Solid shaft with keyway

Other

LSS version (if hollow shaft)

Hollow shaft with keyway

Other

Hollow shaft for shrink disc connection, includes shrink disc

Pinion

Hollow shaft – torque arm

Hollow shaft – foot mounting

Hollow shaft – flange mounting

Other

Mains supply VMains

3-phase 1-phaseAC

DC

V

Auxiliary voltage VAux

3-phase 1-phaseAC

DC

V

Enclosure IP

Explosion

protection

required

Yes

No

Solid shaft without keyway

Splined solid shaft DIN 5480

Splined hollow shaft DIN 5480

Motor adapter with elastic coupling

Swing base/base frame

Motor scoop with V-belt drive

4.12 Machine shaft bearings

2 Bearings, gear unit transfers only torque

1 bearing opposite gear unit, the gear unit acts as a bearing point

1 bearing directly at the gear unit, the gear unit acts as a bearing point

4.14 Forces acting on drive shaft HSS [X] [...]

Axial force FA [kN]

Radial force FR [kN]

Distance from shaft

shoulder X [mm]

Application angle of

the radial force [°]

or variable

4.13 Forces acting on the output shaft LSS [X] [...]

Shaft 3 Shaft 4

Axial force FA [kN]

Radial force FR [kN]

Distance from shaft

shoulder X [mm]

Application angle of

the radial force [°]

or variable

4.16 Permitted cooling (if required) [X]

Fan

External oil/air cooler

External oil/water cooler

Not permittedPermitted

Cooling water

available

Yes

No

Motor scoop

Other, see diagram

Cooling cover/cartridge

Cooling water temperature °C

HZ

HZ

Shaft 3

Shaft 3

Shaft 4

Shaft 4

Shaft 0 Shaft 1

Shaft 0

Shaft 0

Shaft 1

Shaft 1

0°FA

X

FR

02

1

4

3

Shaft 2

Shaft 2

Shaft 2

- +

Page 5: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 37

4Project planning procedureProject Planning for Drives

4

4.2.2 Step 2: Calculate the basic data MK2, n2, i, η

Constant torque

MK2 = Required output torque [Nm]PK1 = Required operating power on the HSS [kW]n2 = Output speed (LSS) 1/min

Equivalent torque with load spectrum and constantspeed n2 MK2 = Required output torque [kNm]

tI = Duration of load [s]I, II,...n = Types of load

Gear ratio

n1 = Drive speed (HSS) 1/minn2 = Output speed (LSS) 1/min

Efficiency η

η = f (i; Gear unit type)The efficiency of the gear unit is mainly determined by the gearing and bearing friction as well by churning losses. The following guide values apply to the calculation:X2F...: 0.975 X3F...: 0.96X4F...: 0.94X3K..: 0.955X4K..: 0.935

P= K1MK2

ηxn2

9550xComment: If PK1 unknown -> = PK1 P [Nm]m

[Nm]

× ×t

= IMK2equiv 100(M )

K2I

tII

100+

t n

100(M )

K2II+ .... (M )

K2n

×6.66.66.6

6.6

i =nn

1

2

Page 6: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

38 Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal

4 Project planning procedureProject Planning for Drives

4.2.3 Step 3: Selection of the application factors

FS - Application-specific service factorThe service factor FS takes into account the typical load condition in relationship to themachine that is driven.Recommended values with reference to• Field of Application• Type of driven machine• Operating time/dayare given in the following table.

These tables apply only to gear units driven by electric motors. For other types of drivemotors, the following correction values apply:• Combustion engines with four or more cylinders: Fs (selection table) + 0.25• Combustion engines with one or three cylinders: Fs (selection table) + 0.5

Application-specific service factor FSminPeak load factor FF → Page 41Startup factor FStart → Page 41

Page 7: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 39

4Project planning procedureProject Planning for Drives

4

Field of Application Type of application(Driven machine)

Service factorOperating period / day

< 3 h 3-10 h > 10 h

Waste water treatment

Impeller aerator - 1.80 2.00

Thickeners 1.15 1.25 1.50

Vacuum filters 1.15 1.30 1.50

Collectors 1.15 1.25 1.50

Screw pump - 1.30 1.50

Brush aerators - - 2.00

Mining

Crushers 1.55 1.75 2.00

Screens and shakers 1.55 1.75 2.00

Slewing drives - 1.55 1.80

Bucket wheel excavators 1)

Energy

Frequency converters - 1.80 2.00

Water wheels (low speed) - - 1.70

Water turbines - -

Conveyors

Bucket elevators - 1.40 1.50

Vertical conveyors - other - 1.50 1.80

Belt conveyors 100 kW 1.15 1.25 1.40

Belt conveyors > 100 kW 1.15 1.30 1.50

Apron feeders - 1.25 1.50

Screw feeders 1.15 1.25 1.50

Shakers, screens 1.55 1.75 2.00

Escalators 1.55 1.25 1.50

Passenger elevators

Rubber and plastic industry

Extruders (plastic) - 1.40 1.60

Extruders (rubber) - 1.50 1.80

Rubber rollers (two in a row) 1.55 1.75 2.00

Rubber rollers (three in a row) - 1.50 1.75

Warming rollers 1.35 1.50 1.75

Calenders - 1.65 1.65

Mills 1.55 1.75 2.00

Mixing rollers

Slab roller 1.55 1.75 2.00

Refiners 1.55 1.75 2.00

Tire machines

Timber industry Timber industry

Crane systems Cranes and hoists 2)

Food industry

Crushers and mills - - 1.75

Beet slicers - 1.25 1.50

Drying drums - 1.25 1.50

Metal production and processing

Winders - 1.60 1.75

Cutting rollers 1.55 1.75 2.00

Table conveyors, individual drives

Table conveyors, group drives

Table conveyors, reciprocating

Wire drawing machines 1.35 1.50 1.75

Rollers

Page 8: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

40 Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal

4 Project planning procedureProject Planning for Drives

Mills and drums

Cooling and drying drums - 1.50 1.60

Rotary kilns - - 2.00

Ball mills - - 2.00

Coal mills - 1.50 1.75

Pulp and paper industry

Debarking drums and machines 1.55 1.80 -

Rollers (pick-up, wire drive, wire suction) - 1.80 2.00

Drying cylinders (anti-friction bearings) - 1.80 2.00

Calenders (anti-friction bearings) - 1.80 2.00

Filters (pressure and vacuum) - 1.80 2.00

Beaters and chippers 1.55 1.75 2.00

Jordan mills - 1.50 1.75

Presses (bark, felt, glue, suction) - - 1.75

Reels - - 1.75

Pulpers

Washer filters - - 1.50

Yankee cylinders (dryers)

Pump

Centrifugal pumps 1.15 1.35 1.45

Reciprocating pumps (single-cylinder) 1.35 1.50 1.80

Reciprocating pumps (multi-cylinder) 1.20 1.40 1.50

Screw pumps - 1.25 1.50

Rotary pumps (gear type, vane) - - 1.25

Agitators and mixers

Agitators for liquids 1.00 1.25 1.50

Agitators for liquids (variable density) 1.20 1.50 1.65

Agitators for solids (non-uniform material) 1.40 1.60 1.70

Agitators for solids (uniform material) - 1.35 1.40

Concrete mixers - 1.50 1.50

Cableways

Material ropeways - 1.40 1.50

Aerial tramways

Surface lifts

Continuous aerial tramways

Funicular railways

Fans

Heat exchangers 1.50 1.50 1.50

Dry cooling towers - - 2.00

Wet cooling towers 2.00 2.00 2.00

Blowers (axial and radial) 1.50 1.50 1.50

Compressors

Reciprocating compressors - 1.80 1.90

Radial compressors - 1.40 1.50

Screw-type compressors - 1.50 1.75

1) Contact SEW-EURODRIVE2) Please contact SEW-EURODRIVE; dimensioning according to FEM1001

Field of Application Type of application(Driven machine)

Service factorOperating period / day

< 3 h 3-10 h > 10 h

Page 9: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 41

4Project planning procedureProject Planning for Drives

4

Peak load factor FF

The peak load factor FF takes the overload capacity of gearing and rotating parts intoaccount.

Startup factor - Fstart

The startup factor Fstart takes the overload caused by the startup process into account.

4.2.4 Step 4: Calculation of the required gear unit nominal torque MN2.

Constant load direction, constant torque:MN2 ≥ MK2 × FS [Nm]

Reversing load direction constant torque:MN2 ≥ MK2 × FS × 1.43 [Nm]

Peak load factor - FF

Gear unit typeFrequency of peak per hour

1...5 6...20 21...40 41...80 81...160 > 160

X..S.: Output shaft as solid shaft

1 1.2 1.3 1.5 1.75 2.0X..A. / X..V.: Hollow shaft with form-fit connection

X..H.: Hollow shaft with shrink disc connection

Startup mode Startup factor - Fstart

Direct 3.0

Soft startup 1.8

Frequency inverters 1.5...2.01)

Delta / star 1.3

Hydraulic coupling without delay chamber 2.0

Hydraulic coupling with delay chamber 1.6

1) Dependent on setting

MN2MK2FS

= Nominal torque= Operating torque on the LSS = Service factor = MN2 / MK2 = PN1 / PK1

MN2MK2FS

= Nominal torque= Operating torque on the LSS = Service factor = MN2 / MK2 = PN1 / PK1

Page 10: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

42 Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal

4 Project planning procedureProject Planning for Drives

4.2.5 Step 5: Selecting the gear unit size MN2The selection of the gear unit size is based on the gear unit nominal torque MN2 accord-ing to the speed/power overview tables beginning on page 89 and is divided into tworanges:• Input speed n1 = 1500 min-1

• Input speed n1 = 1800 min-1

The selection table guide on the foldout page of the catalog can be used to quickly locatethe speed/power overview table and to make a preliminary selection of the gear unitsize.If the input speed n1 < 1500 min-1, the value for 1500 min-1 can be used for MN2.For input speeds n1 > 1800 min-1, please contact SEW-EURODRIVE.

61592AXX

X.F190..,n1 = 1500 1/min 65 kNm

PTH [kW]

i N i ex n2 MN2 PN1

[1/min] [kNm] [kW]PTH

20°C

PTH

40°C

PTH

20°C

PTH

40°C

PTH

20°C

PTH

40°C

PTH

20°C

PTH

40°C

PTH

40°C

PTH

40°C

PTH

40°C

7.189

1011.212.514161820

7.258.149.05

10.1711.1412.5213.6115.3

17.9320.15

207184166147135120110988474

60616263656565656565

132411991095998940836769684584520

X2F..

*)*)*)

255241252240249230237

*)*)*)*)*)*)*)

178166172

527524484507466484448463420432

375375352371344358335347317326

681659578595526538482490434443

603581509523461470422427378385

----------

----------

793770677698619633568579514524

----------

860880842896839568548572534343

EEEEEDDDDC

22.42528

31.535.54045505663718090

100

22.3225.0828.9

32.4734.7639.0644.5150.0153.5560.1772.0981.0186.7397.45

6760524643383430282521191715

6465656565656565656565656565

466424368328306272239213199177148131123109

X3F..

174178166169153155150148131133133134120121

123127119121110112110108979899

1008990

316323298303274278263259230232229232207208

234239221225204207197194173174173175156157

--------------

--------------

241243219219194195184180159159158159141142

194194174174153154146142125126125125111112

--------------

298301272274243245230225199200197198176177

264272256261237241243

-------

CCCCCCC-------

112125140160180200224250280315355400

119.14133.87143.33161.05177.05198.95233.94262.87281.43316.23347.64390.64

1311109.38.57.56.45.75.34.74.33.8

656565656565656565656565

918176676155464139343128

X4F..

10210392928384818273746666

777769696364616256565150

------------

------------

------------

------------

1141141021029293899081827373

909080807273707163645757

------------

------------

------------

------------

H O2

H O2

+H O2

H O2

+H O2

oil

Page 11: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 43

4Project planning procedureProject Planning for Drives

4

4.2.6 Step 6: Calculating the required motor power PM

• Calculating the required motor power PM• Selecting the motor power PM

Selecting the motor power

4.2.7 Step 7: Checking the peak load conditions MK2 per ; MK2max

Permitted peak load torque MK2 per:Constant load direction, constant torque:

Reversing load direction constant torque

Calculating the peak load MK2 max:

* If Fstart is not given, account for the startup factors according to page 41.

Checking gear unit selection:MK2 max ≤ MK2 per

PMPK2

= Nominal motor power= Output power [kW]

P =Pk2

M η

MK2 zulMN2FF

= Permitted peak drive torque = Nominal torque= Peak load factor

MK2zulMN2FF

= Permitted peak output torque = Nominal torque= Peak load factor

MK2 maxMaFStart

= Peak output torque= Output torque based on the motor power= Startup factor

M =K2 zul

2 x MN2

FF

[Nm]

M =K2 zul

2 x MN2

FF

[Nm]x 0.7

M =K2 maxM x F [Nm]a Start

*

Page 12: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

44 Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal

4 Project planning procedureProject Planning for Drives

4.2.8 Step 8: Calculating the thermal rating PTThe thermal rating PT of a gear unit is the power that a gear unit can transmit withoutexceeding a certain oil temperature. The thermal rating depends on the followingfactors:• Ambient temperature• Air circulation and sunlight exposure at the installation site• Installation altitude• Heat conduction to the foundation at the installation site• Mechanical utilization of the gear unit• Type of gear unit, size and gear ratio • Type of gear unit external cooling• Type of gear unit lubrication• Type of lubricant• Cyclic duration factor

For the following ambient conditions, the thermal rating can be directly read from theselection tables:• Ambient temperature 20 °C or 40 °C (the thermal rating can be interpolated for

ambient temperatures of 30 °C).• Installation in a large hall • Natural cooling or cooling with

– Fan– Integrated cooler (water cooling cover or water cooling cartridge)– Combination of fan with integrated cooler– Circulation cooling with oil-water cooler

• Foundation as steel support structure• Installation altitude ≤ 1000 m above sea level• Horizontal mounting position (M1)• Splash lubrication

PT = PTH f1

Please contact SEW-EURODRIVE in case of other ambient conditions.

It is of fundamental importance that sufficient protection from direct sunlight beprovided when installed outdoors.

PTH = Nominal thermal rating of the gear unit. The values in the selection tables in sections 10 + 11 depend on ambient temperature and the type of cooling.

f1 = Altitude factor

Page 13: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 45

4Project planning procedureProject Planning for Drives

4

Altitude factor f1

4.2.9 Step 9: Checking the thermal rating:The gear unit's thermal rating must be at least as large as the operating power on theinput shaft [HSS]PT ≥ PK1

Altitude H [m above sea level]

0 1000 2000 3000 4000

f11)

1) Intermediate values must be interpolated

1.00 0.95 0.91 0.87 0.83

Contact SEW in case of deviating conditions.

Page 14: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

46 Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal

4 Project planning procedureProject Planning for Drives

4.2.10 Step 10: Checking the external additional forces:

Dependencies The permitted forces on the shaft depend on the following factors:• Gear unit service factor• Required bearing service life• Direction of the axial force (from or towards gear unit)• Application angle of the radial force (rotating or at a specific position)• Application angle of the radial force in relation to the shaft shoulder• Relation of axial to radial force and vice versa.

Definition of force application

Determining overhung force

An important factor for determining the resulting overhung force is the type of transmis-sion element mounted to the shaft end. The following transmission element factors fZmust be considered for various transmission elements.

The overhung force load exerted on the motor or gear unit shaft is then calculated asfollows:

61440AXX

α

FA

X

FR

Transmission element Transmission element factor fZ

Comments

Gears 1.15 < 17 teeth

Chain sprockets 1.40 < 13 teeth

Chain sprockets 1.25 < 20 teeth

Narrow V-belt pulleys 1.75 Influence of the pre-tensioning force

Flat-belt pulleys 2.50 Influence of the pre-tensioning force

Toothed belt pulleys 1.50 Influence of the pre-tensioning force

FR = Overhung force load [N]

Md = Torque [Nm]

d0 = Average diameter of the mounted transmission element [mm]

fZ = Transmission element factor

XX

Page 15: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 47

4Project planning procedureProject Planning for Drives

4

Permitted over-hung forces output shaft (LSS)

The following table shows two values for the permitted radial force on standard solidshafts that apply under the following conditions:• The application point of the radial force is on the midpoint of the shaft end• No external axial force acts on the output shaft!• The gear unit service factor is 1.3 or higher• The application angle of the radial load is applied at the most unfavorable point

For the force FRa• The shaft speed is less than or equal to the given value

For the force FRa max• Applies only to foot-mounted gear units in mounting position M1• Max. possible peak value under more advantageous service conditions

Permitted axial forces output shaft [LSS]

Please contact SEW-EURODRIVE.

Permitted over-hung and axial forces input shaft (HSS)

Please contact SEW-EURODRIVE.

FRa [kN] FR max [kN]

X2FS.. X3FS.. X3KS.. X4FS.. X4KS.. X..S.

Speed n2 ≤ 125 1/min ≤ 70 1/min ≤ 20 1/min -

Shaft position 14, 23 13, 24 14, 23 13, 24 03, 04 14, 23 13, 24 03, 04 All shaft positionsGear unit size

180 72.2 41.4 93.9 63.1 93.9 155.8 125.0 155.8 170.0

190 69.5 41.9 91.2 63.6 91.2 153.2 125.6 153.2 170.0

200 80.2 43.6 105.0 68.4 105.0 176.0 139.5 176.0 190.0

210 76.2 40.6 98.9 64.4 98.9 167.1 132.7 167.1 190.0

220 92.5 51.1 128.8 84.8 128.8 230.0 214.3 230.0 230.0

230 86.1 47.5 116.6 74.7 116.64 230.0 199.1 230.0 230.0

240 132.2 79.9 184.4 129.5 184.4 280.0 280.0 280.0 280.0

250 119.5 62.7 173.0 119.5 173.0 280.0 280.0 280.0 280.0

Contact SEW in case of deviating conditions.

Page 16: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

48 Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal

4 Sample for project planning: Conveyor driveProject Planning for Drives

4.3 Sample for project planning: Conveyor driveThe following project planning example shows the planning of a conveyor drive.

Technical data and application conditions • Foot-mounted gear unit with hollow shaft• Output speed n2 = 35 1/min• Input speed motor n1 = 1470 1/min• Operating power on the output shaft LSS PK2 = 135 kW• Peak operating torque on the output shaft LSS MK2 max = 55 kNm• Operating time: 16 hours a day• The gear unit is started up once per hour (frequency of maximum output torque).• The gear unit is to be operated in a large hall under very dusty conditions and an am-

bient temperature range of 0 °C 40 °C.• Installation altitude H = 1200 m• Customer request: Min. Service factor FS ≥ 1.4

61445AXX

Page 17: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 49

4Sample for project planning: Conveyor driveProject Planning for Drives

4

Step 1: Filling out the drive selection sheet

Step 2: Calculating the basic data

Constant operating torque MK2:

Calculate the gear unit reduction ratio using the following formula:

This value is used to specify the nominal gear ratio inominal = 45.

Step 3: Selection of the application factors

MK2 PK2n2

= Operating torque on the LSS [Nm]= Output power [kW]= Output speed LSS [1/min]

in1n2

= Gear ratio= Input speed (HSS) [1/min]= Output speed (LSS) [1/min]

P=

K2MK2n2

9550x 135 kW x 9550

35 1/min= 36.8 kNm=

i =n1n2

= 1470

35 = 42

Application-specific service factor(Belt conveyor P > 100 kW, t > 10 h/day)

FS min = 1.5

Peak load factor(1...5 peak loads per hour)

FF = 1.0

Startup factor(Hydraulic coupling with delay chamber)

FStart = 1.6

Page 18: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

50 Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal

4 Sample for project planning: Conveyor driveProject Planning for Drives

Step 4: Calculation of the required gear unit nominal torque

The required gear unit nominal torque MN2:

MN2 ≥ MK2 × FS [Nm] = 36.8 kNm x 1.5 = 55.2 kNm

Step 5: Selecting the gear unit size

Select a gear unit of the next-larger torque class using the foldout pageSee selection table page 148.• Gear unit type X3KA180 /B• Nominal gear ratio inominal = 45 exact gear ratio iex = 43.6 • Nominal gear unit torque MN2 = 58 kNm

Step 6: Calculating the required motor power

Required motor power:

Select a motor of the next-larger power class: PM = 160 kW

MN2MK2FS

= Nominal torque [kNm]= Operating torque on the LSS [kNm]= Service factor

PMPK2η

= Motor power [kW]= Output power [kW]= Efficiency from section 4.2.2

=PK2η

PM =

135 kW

0.955= 141.4 kW

Page 19: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal 51

4Sample for project planning: Conveyor driveProject Planning for Drives

4

Step 7: Checking the peak load conditions

Permitted peak load torque MK2 per:

Calculating the output torque based on the motor power

Calculating the peak load M k2 max:M K2 max = Ma x Fstart = 41.7 kNm x 1.6 = 66.7 kNm

The peak operating torque MK2 max must not exceed the permitted peak output torqueMK2 zulMK2 max ≤ MK2 zul

66.7 kNm ≤ 116 kNm

This means you may use the selected gear unit size.

Step 8: Calculating the thermal rating

PT = PTH x f1 = 80 kW x 0.95 = 76 kWf1 = 0.95 → H = 1200 m

MK2zulMN2FF

= Permitted peak output torque [kNm]= Nominal torque [kNm]= Peak load factor

M =K2 zul

2 x MN2

FF

2 x 58 kNm

1= = 116 kNm

P=

MMan2

9.55x 160 kW x 9.55

35 1/min= 41.7 kNm=

ηx x 0.955

PTPTHf1

= Thermal rating [kW]= Nominal thermal rating [kW]= Altitude factor

Page 20: 4 Project Planning for Drives - · PDF fileCatalog – Helical and Bevel-Helical Gear Units Series X.. ... most important formulae for drive calculation as well as detailed examples

52 Catalog – Helical and Bevel-Helical Gear Units Series X.. Horizontal

4 Sample for project planning: Conveyor driveProject Planning for Drives

Step 9: Checking the thermal rating and selecting the gear unit cooling

The operating power PK1 may never exceed the thermal rating PT (PK1 ≤ PT). Additionalcooling is required if PK1 > PT141.4 kW > 76 kW Thermal rating at 40 °C is not sufficient without additional cooling

With one fan:PT= PTH x f1 = 171 kW x 0.95 = 162.5 kW141.4 kW < 162.5 kW Thermal rating at 40 °C with one fan sufficient

Step 10: Checking the external additional forces

There are no external additional forces

Schritt 11: Selecting the optional equipment

• Dusty environment → Taconite seals on the drive and output shafts (see section"Sealing systems" 2.9).

Step 12: Summary of all the technical information

• Gear unit type: X3KA180 /B• Gear ratio iex = 43.6• Nominal gear unit torque MN2 = 58 kNm• Motor: PM = 160 kW• Taconite seals on the drive and output shafts• Fan on the input shaft