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Standard Gearbox Specifications and Dimensions, Exercises of Differential Equations

Detailed information on the specifications and dimensions of standard gearboxes available in various speed-reducing ratios. It includes schematics, dimensional drawings, and technical details for different gearbox sizes and configurations. Gearbox types such as standard, ea, za, hw, hr, hrz, and f, each with their own set of speed-reducing ratios ranging from 1:1 to 6:1. It also includes information on radial load capacities, ordering examples, and motor flange dimensions for the f-series gearboxes. This comprehensive technical reference would be useful for engineers, designers, and technicians working with industrial gearbox applications.

Typology: Exercises

2023/2024

Uploaded on 11/07/2023

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Spiral Bevel
Gearboxes
• Low Backlash
• Low Transmission Error
• Wide Range of Models
• Wide Range of Ratios
• Universal Mounting
• Special Designs
Motion Components and Engineering Services
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Download Standard Gearbox Specifications and Dimensions and more Exercises Differential Equations in PDF only on Docsity!

Spiral Bevel

Gearboxes

**- Low Backlash

  • Low Transmission Error
  • Wide Range of Models
  • Wide Range of Ratios
  • Universal Mounting
  • Special Designs**

Motion Components and Engineering Services

AVAILABLE THROUGH

D I E Q U

A

C O R P O R A

T I O N

Tandler, the world leader in precision spiral bevel gearbox manufacturing, has

been satisfying the most demanding gearing requirements for over 50 years. In

cooperation with DieQua Corporation, we are providing the most extensive and

highest quality spiral bevel gearbox program available. With the lowest backlash

and widest range of ratios and specialty models, you can be assured of maximum

design versatility and superior performance.

Contents

Overview................................................ 3

Sizing Information...................................... 4 - 5

Selection Charts........................................ 6 - 8

Operational Factors........................................ 9

Standard Speed-Reducing - STD............................ 10 - 11

Standard Speed-Increasing - STD........................... 12 - 13

One-Way Auxiliary - EA................................. 14 - 15

Two-Way and Three-Way Auxiliary - ZA....................... 16 - 17

Hollow Shaft - HW..................................... 18 - 19

Reinforced Shaft - WV.................................. 20 - 21

Hollow Pinion - HR/HRZ................................. 22 - 23

Flange Mount - F...................................... 24 - 25

Reversing/Declutching - S/AS............................. 26 - 29

Inline Reversing - W................................... 30 - 31

Technical Data....................................... 32 - 34

Special Designs and Options................................. 35

SIZING

S I Z I N G

S P I R A L

B E V E L

G E A R B O

X E S

Sizing Spiral Bevel Gearboxes

Pertinent Data

  1. Input speed.
  2. Gear ratio.
  3. Horsepower requirement.
  4. Method of shaft connection.
  5. Mounting position.

Explanation of Symbols

To select any gearbox, use the appropriate charts

and tables in the pages that follow. All of them use

the following symbols:

n 1

= rpm on pinion d 1

n 2 = rpm on shaft d 2

i = gear ratio = n 1

/n 2

d = a shaft or a pinion

Hp = horsepower

M = torque

Md 1

= input torque, in Newton-meters, Nm

Md 2

= output torque, in Newton-meters, Nm

Nm = Newton-meters

N 1

= input power, in kilowatts, kW

N 2

= output power, in kilowatts, kW

C = operational factor

All Tandler gearboxes are delivered with the appropriate

quantity and type of oil for normal operation. For special

lubrication and mounting requirements, consult the

Technical Data section, page 32.

Pinion d 1

Shaft d 2

S I Z I N G

S P I R A L

B E V E L

G E A R B O

X E S

SIZING

Steps for Gearbox Selection

  1. Calculate output torque.

Md 2

= 7160 x Hp x i

n 1

  1. Find the appropriate sizing chart for your gear ratio on

pages 6 through 8.

  1. Find output torque (Md 2

) on the vertical axis and input

rpm (n 1

)on the horizontal axis. The point of intersection will

fall in a range that identifies the size gearbox you need.

  1. If your selection approaches the torque capacity of the

gearbox, or if it is subject to extreme conditions, consult the

operational factor chart on page 9.

  1. If your application approaches the maximum speed of the

gearbox, or is subject to high ambient temperatures, consult the

thermal stress chart on page 9.

  1. Select the appropriate internal gear arrangement which

specifies shaft rotations.

  1. Consider how the gearbox is mounted...
    • If driving with a belt or gear, consult radial

load capacity information for each type

of gearbox.

  • If connecting with rigid or flexible couplings,

consider alignment requirements.

Consult your DieQua representative.

  • If any shafts are mounted vertically, consider

special bearing lubrication options.

Consult your DieQua representative.

  1. Specify the Tandler part number.

(See example below).

Type/Series

Size of Gearboxes

Gear Arrangement

Total Ratio i

tot

= n

: n

Special Option/Design

Specifying the Tandler Part Number

HW A1 III 2 :

S I Z I N G

S P I R A L

B E V E L

G E A R B O

X E S

SIZING Gear Ratios of 1.75:1 and 2:1 Gear Ratios of 2.5:1 and 3:

Gear Ratio of 3.5:1 and 4:1 Gear Ratio of 5:1 and 6:

*1Nm = 8.85 in. lbs.

SIZING

S I Z I N G

S P I R A L

B E V E L

G E A R B O

X E S

Gear Ratios of 1:1.25 and 1:1.5 Gear Ratios of 1:1.75 and 1:

Speed-increasing

*1Nm = 8.85 in. lbs.

Sizing Charts

Spiral Bevel Gearboxes

Selection note: Lines represent the maximum capacity of each size.

STANDARD

S P E E D

R E D U C I N G

Standard Right Angle

Speed-Reducing Spiral Bevel Gearbox

Available Ratios

Right angle 1:1 or speed reduction from shaft d

to d

Available in 8 sizes with 1:1 or 10 speed reducing ratios.

Standard gearbox is available in 1:

and 10 speed-reducing ratios:

1.25:1 3:

1.5:1 3.5:

1.75:1 4:

2:1 5:

2.5:1 6:

Schematic:

Internal Gear Arrangements

S P E E D

R E D U C I N G

STANDARD

General

a

! e

! b

d 2

Size

STD 00*

STD 01*

STD A1*

STD B1*

STD C1*

STD D

STD E

STD F

m 2

f

h

k

(1)

M

M

M

M

M

M

M

M

r

DIN 332

Key

DIN 6885

M

M

M

M

M

M

M

M

5x

6x

10x

12x

16x

18x

20x

25x

ø

(2)

(3)

(4)

c j

ø d 2j

i = 1:1 to 2.5:

l 2 g

ø o

ø r

DIN 332

Key

DIN 6885 m 1 l 1 d 1j

d 1

Size

STD 00*

STD 01*

STD A1*

STD B1*

STD C1*

STD D

STD E

STD F

M

M

M

M

M

M

M

M

5x

6x

10x

12x

16x

18x

20x

25x

Ratios i = 1:1, 1.25:1, 1.5:1, 1.75:1, 2:1, and 2.5:

i = 3:

l 2 g

ø o

ø r

DIN 332

Key

DIN 6885 m 1 l 1 d 1j

d 1

Size

STD 00*

STD 01*

STD A1*

STD B1*

STD C1*

STD D

STD E

STD F

M

M

M

M

M

M

M

M

4x

6x

10x

10x

10x

16x

16x

20x

Ratios i = 3:

i = 3.5:

l 2

g

ø o ø

r

DIN 332

Key

DIN 6885

m 1

l 1

d 1j

d 1

Size

STD 00*

STD 01*

STD A1*

STD B1*

STD C1*

STD D

STD E

STD F

M

M

M

M

M

M

M

M

4x

5x

6x

8x

10x

12x

14x

18x

Ratios i = 3.5:

i = 4:

l 2

g

ø o ø

r

DIN 332

Key

DIN 6885

m 1

l 1

d 1j

d 1

Size

STD 00*

STD 01*

STD A1*

STD B1*

STD C1*

STD D

STD E

STD F

M

M

M

M

M

M

M

M

3x

5x

6x

8x

10x

12x

14x

18x

Ratios i = 4:

i = 5:

l 2

g

ø o ø

r

DIN 332

Key

DIN 6885

m 1

l 1

d 1j

d 1

Size

STD 00*

STD 01*

STD A1*

STD B1*

STD C1*

STD D

STD E

STD F

M

M

M

M

M

M

M

4x

5x

6x

8x

10x

12x

16x

Ratios i = 5:

i = 6:

l 2

g

ø o ø

r

DIN 332

Key

DIN 6885

m 1

l 1

d 1j

d 1

Size

STD 00*

STD 01*

STD A1*

STD B1*

STD C1*

STD D

STD E

STD F

M

M

M

M

M

M

M

3x

4x

5x

6x

8x

12x

16x

Ratios i = 6:

Dimensions

Dimensions in mm

Ratio i = d 1

:d 2

= n 1

:n 2

  • Available in Meehanite and aluminum version

Subject to changes

STD A1 2:1 III

Type Size Total Ratio Gear Arrangement Special Design (Optional)

Ordering Example

Radial Load Capacities

300 N

500 N

1200 N

1750 N

i = 1:1 to 3:1 i = 3.5:1 to 6:1 i = 1:1 to 3:1 i = 3.5:1 to 6:

Size Size

d 1

d 2

d 1

d 2

d 1

d 2

d 1

d 2

320 N

1000 N

2500 N

3500 N

450 N

1000 N

1500 N

1000 N

2500 N

3500 N

3000 N

3500 N

4000 N

6000 N

4500 N

7000 N

8500 N

10,000 N

2000 N

2400 N

2800 N

3500 N

4500 N

7000 N

8500 N

10,000 N

STD 00

STD 01

STD A

STD B

STD C

STD D

STD E

STD F

The figures in the table above are provided for reference only. Speed, torque, direction of rotation, and direction of applied force will affect the true radial load capacity value.

Please consult your DieQua representative.

N = .22 lbs.

Values are higher with tapered bearing option

(1) Screwed-in length = k • 1.5 (2) 3:1 ratio = 60mm (3) 3:1 ratio = 180mm (4) 3:1 ratio = 265mm

S P E E D

I N C R E A S I N G

STANDARD

General

a

! b c

ø

j

d

ø

1j

e

! m 1

l 1

f g h k (1) o

ø

d 1

i= 1:1.25 and 1:1.

r

thread

key

DIN

d

ø

2j l 2 m 2

80 110 74 14 60 110 30 3.5 13 40 M 6 52

110 145 102 22 82 135 35 3.5 14 45 M 8 70

140 175 130 32 105 165 45 4.5 14 50 M10 90

170 215 160 42 130 210 60 4.5 18 65 M12 110

210 260 195 55 160 275 85 5.0 18 85 M16 135

260 330 245 65 200 340 100 5.0 23 110 M16 150

330 430 310 75 260 435 120 5.0 29 150 M20 230

400 530 380 90 320 550 150 5.0 40 200 M24 270

M 6 5 x 5

M 8 6 x 6

M10 10 x 8

M12 12 x 8

M16 16 x 10

M16 18 x 11

M20 20 x 12

M24 25 x 14

STD 00

STD 01

STD A

STD B

STD C

STD D

STD E

STD F

Type

Ratios i = 1:1.25, 1:1.5, 1:1.75, 1:

Dimensions

i= 1:1.75 and 1:

d 2

r

thread

key

DIN

M 6 5 x 5

M 8 6 x 6

M10 10 x 8

M12 12 x 8

M16 16 x 10

M16 18 x 11

M20 20 x 12

M24 25 x 14

d

ø

2j l 2 m 2

d 2

r

thread

key

DIN

M 5 4 x 4

M 6 5 x 5

M 8 8 x 7

M 8 8 x 7

M12 10 x 8

M16 14 x 9

M16 14 x 9

M16 18 x 11

Dimensions in mm

Ratio i = d 1

:d 2

= n 1

:n 2

(1) Screwed-in length = k • 1.

Subject to changes

Engineering note:

For ratios 1:1.75 and 1:2, the d

shaft diameter decreases in size.

STD A1 1:2 III

Type Size Total Ratio Gear Arrangement Special Design (Optional)

Ordering Example

Radial Load Capacities

300 N

500 N

1200 N

1750 N

i = 1:2 to 1:1 i = 1:2 to 1:

Size Size

d 1

d 2

d 1

d 2

320 N

1000 N

2500 N

3500 N

3000 N

3500 N

4000 N

6000 N

4500 N

7000 N

8500 N

10,000 N

STD 00

STD 01

STD A

STD B

STD C

STD D

STD E

STD F

The figures in the table above are provided for reference only. Speed, torque, direction of rotation,

and direction of applied force will affect the true radial load capacity value.

Please consult your DieQua representative.

N = .22 lbs.

Values are higher with tapered bearing option

EA

O N E - W

A

Y

A

U X I L I A R Y

Auxiliary

Type EA One-way Auxiliary Branch-off Spiral Bevel Gearbox

Available Ratios

One input and up to three output shafts in one plane.

Engineering note: d

and d

operate at the same speed.

Type EA gearbox is available in 1 :

and 10 speed-reducing ratios:

1.25:1 3:

1.5:1 3.5:

1.75:1 4:

2:1 5:

2.5:1 6:

and 4 speed-increasing ratios:

1:1.25 1:1.

1:1.5 1:

Dimensions

The dimensions for the 8 sizes of speed-reducing ratios

are the same as those for STANDARD speed-reducing

gearboxes. See the table on page 11.

The dimensions for 8 sizes of speed-increasing ratios

are the same as those for STANDARD speed-increasing

gearboxes. See the table on page 13.

Internal Gear Arrangements

Schematic:

d 1

d 2

ZA

T W

O

A N D

T H R E E - W

A

Y

A

U X I L I A R Y

Auxiliary

Type ZA Two- and Three-way Auxiliary

Branch-off Spiral Bevel Gearboxes

Available Ratios

One input and up to five output shafts make this

gearbox an extremely versatile option for custom

applications.

Type ZA gearbox is available in

10 speed-reducing ratios:

1.25:1 3:

1.5:1 3.5:

1.75:1 4:

2:1 5:

2.5:1 6:

and 4 speed-increasing ratios:

1:1.25 1:1.

1:1.5 1:

(Note: 1:1 ratio not available).

Dimensions

The dimensions for the 8 sizes of speed-reducing

ratios are the same as those for STANDARD speed-

reducing gearboxes. See the table on page 11.

The dimensions for 8 sizes of speed-increasing ratios

are the same as those for STANDARD speed-

increasing gearboxes. See the table on page 13.

Monitoring the Oil Level

Auxiliary pinion ZA style gearboxes may require

special oil level monitoring. For a two-way ZA

auxiliary gearbox, the normal oil level sight-glass

may be used only if the face of the gearbox with the

sight-glass is mounted horizontal and is visible. For

all three-way ZA auxiliary gearboxes, an external oil

level sight-glass must be used. The schematic below

left indicates the various positions available. This is

Tandler special design S-545. When ordering a

gearbox with this feature, please specify this special

design number and position of the sight glass:

(example: A1 ZA-III 2:1 S-545-A).

Also see page 32 for additional lubrication

information, or consult your DieQua representative.

Vertical Shaft Applications

Gearboxes mounted with a shaft in a vertical

position will require special lubrication options. The

bearings supporting the upper portion of the vertical

shaft generally do not receive sufficient quantities of

oil for proper lubrication and cooling. Several

options exist:

  1. For vertical pinions S515 d1:

The pinion is supported by two preloaded angular

contact ball bearings. The lower bearing is

replaced by a sealed bearing, and the pinion cavity

is filled with grease.

  1. For vertical shafts S515 d2:

The ball bearing supporting the upper portion of

the vertical shaft is replaced with a permanently

lubricated sealed ball bearing.

Schematic:

d 1

d 2

d 5

d 3

/ d 4

T W

O

A N D

T H R E E - W

A

Y

A

U X I L I A R Y

ZA

Internal Gear Arrangements

2 WAY

AUXILIARY

SPEED REDUCING* SPEED INCREASING*

3 WAY

AUXILIARY

STD A1 2:1 ZAIII

Type Size Total Ratio Gear Arrangement Special Design (Optional)

Ordering Example

ZA I

ZA II

ZA III

ZA IV

ZA VII

ZA VIII

ZA IX

ZA X

ZA I

ZA II

ZA III

ZA IV

ZA VII

ZA VIII

ZA IX

ZA X

SPEED REDUCING SPEED INCREASING

ZA V

ZA VI

ZA XI

ZA XII

ZA V

ZA VI

ZA XI

ZA XII

Radial Load Capacities

300 N

500 N

1200 N

1750 N

i = 1:2 to 3:1 i = 3.5:1 to 6:1 i = 1:2 to 3:1 i = 3.5:1 to 6:

Size Size

d 1 =

d 3 =

d 4

d 2

d 1 =

d 3 =

d 4

d 2

d 1 =

d 3 =

d 4

d 2

d 1 =

d 3 =

d 4

d 2

320 N

1000 N

2500 N

3500 N

450 N

1000 N

1500 N

1000 N

2500 N

3500 N

3000 N

3500 N

4000 N

6000 N

4500 N

7000 N

8500 N

10,000 N

2000 N

2400 N

2800 N

3500 N

4500 N

7000 N

8500 N

10,000 N

STD 00

STD 01

STD A

STD B

STD C

STD D

STD E

STD F

The figures in the table above are provided for reference only. Speed, torque, direction of rotation, and direction of applied force will affect the true radial load capacity value.

Please consult your DieQua representative. Note: d 1 = d 3 = d 4 N = .22 lbs.

Values are higher with tapered bearing option

* Note: 1 shaft runs slower. All other shafts run faster and at the same speed

H O L L O

W

S H A F T

HW

Dimensions in mm

Ratio i = d 1

:d 2

= n 1

:n 2

Available in Meehanite and aluminum version

Subject to changes

HW A1 2:1 III

Type Size Total Ratio Gear Arrangement Special Design (Optional)

Ordering Example

Radial Load Capacities

300 N

500 N

1200 N

1750 N

i = 1:1 to 3:1 i = 3.5:1 to 6:1 i = 1:1 to 3:1 i = 3.5:1 to 6:

Size Size

d 1

d 2

d 1

d 2

d 1

d 2

d 1

d 2

320 N

1000 N

2500 N

3500 N

450 N

1000 N

1500 N

1000 N

2500 N

3500 N

3000 N

3500 N

4000 N

6000 N

4500 N

7000 N

8500 N

10,000 N

2000 N

2400 N

2800 N

3500 N

4500 N

7000 N

8500 N

10,000 N

HW 00

HW 01

HW A

HW B

HW C

HW D

HW E

HW F

The figures in the table above are provided for reference only. Speed, torque, direction of rotation, and direction of applied force will affect the true radial load capacity value.

Please consult your DieQua representative.

N = .22 lbs.

Values are higher with tapered bearing option

General

a

! e

! b

Hollow Shaft d 2

Size

HW 00*

HW 01*

HW A1*

HW B1*

HW C1*

HW D

HW E

HW F

m 2

f

h

D

k

(1)

M

M

M

M

M

M

M

M

involute spline

type HWZ

A25 x 22

A30 x 27

A40 x 36

A50 x 45

A60 x 55

A65 x 60

A75 x 69

t splines

u

J

for Key

DIN 6885 Sh.

5x

6x

8x

10x

14x

16x

18x

20x

straight sided spline

type HWK

21 x 25 x 5 (5463)

28 x 32 x 7 (5462)

36 x 42 x 8 (5472)

42 x 48 x 10 (5472)

46 x 54 x 9 (5463)

58 x 65 x 14 (5472)

68 x 78 x 16 (5472)

ø c j

ø d H

i = 1:1 to 2.5:

g

ø o

ø r

DIN 332

Key

DIN 6885 m 1 l 1 d 1j

d 1

Size

HW 00*

HW 01*

HW A1*

HW B1*

HW C1*

HW D

HW E

HW F

M

M

M

M

M

M

M

M

5x

6x

10x

12x

16x

18x

20x

25x

Ratios i = 1:1, 1.25:1, 1.5:1, 1.75:1, 2:1, and 2.5:

i = 3:

g

ø o

ø r

DIN 332

Key

DIN 6885 m 1 l 1 d 1j

d 1

Size

HW 00*

HW 01*

HW A1*

HW B1*

HW C1*

HW D

HW E

HW F

M

M

M

M

M

M

M

M

4x

6x

10x

10x

10x

16x

16x

20x

Ratios i = 3:

i = 3.5:

g

ø o ø

r

DIN 332

Key

DIN 6885

m 1

l 1

d 1j

d 1

Size

HW 00*

HW 01*

HW A1*

HW B1*

HW C1*

HW D

HW E

HW F

M

M

M

M

M

M

M

M

4x

5x

6x

8x

10x

12x

14x

18x

Ratios i = 3.5:

i = 4:

g

ø o ø

r

DIN 332

Key

DIN 6885

m 1

l 1

d 1j

d 1

Size

HW 00*

HW 01*

HW A1*

HW B1*

HW C1*

HW D

HW E

HW F

M

M

M

M

M

M

M

M

3x

5x

6x

8x

10x

12x

14x

18x

Ratios i = 4:

i = 5:

g

ø o ø

r

DIN 332

Key

DIN 6885

m 1

l 1

d 1j

d 1

Size

HW 00*

HW 01*

HW A1*

HW B1*

HW C1*

HW D

HW E

HW F

M

M

M

M

M

M

M

4x

5x

6x

8x

10x

12x

16x

Ratios i = 5:

i = 6:

g

ø o ø

r

DIN 332

Key

DIN 6885

m 1

l 1

d 1j

d 1

Size

HW 00*

HW 01*

HW A1*

HW B1*

HW C1*

HW D

HW E

HW F

M

M

M

M

M

M

3x

4x

5x

6x

8x

12x

Ratios i = 6:

Dimensions

For shrink disc bore

diameters, please

consult your DieQua

representative.

(1) Screwed-in length = k • 1.

WV

R E I N F O R C E D

S H A F T

Reinforced Shaft

Type WV Reinforced Shaft Spiral Bevel Gearbox

Larger, heavier cross shaft. A cost-effective alternative

where partial torques fork off a main line shaft. The

torque, speed, and radial load capacity for type WV

gearboxes are equivalent to STANDARD version

gearboxes.

Application Example

A web style printing press with multiple print stations is

an excellent application example for a type WV gearbox.

In a web press, one main drive motor is used to drive

numerous print stations at right angles to the main drive

shaft. The larger through shaft can transmit the entire

machine torque, while the gears drive only the individual

print stations. The result is a smaller gearbox size and

increased line-shaft rigidity.

Internal Gear Arrangements

Available Ratios

Type WV gearbox is available in 1:

and 10 speed-reducing ratios:

1.25:1 3:

1.5:1 3.5:

1.75:1 4:

2:1 5:

2.5:1 6:

Schematic: