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U1_4engl 29.07.2008 15:39 Uhr Seite 1
Probedruck
C M Y CM MY CY CMY K
81430_KG_Kat_Um_engl.indd 1 06.08.2008 13:59:09 Uhr
S2engl 29.07.2008 14:46 Uhr Seite 1
Probedruck
C M Y CM MY CY CMY K
S3 29.07.2008 14:55 Uhr Seite 1
Probedruck
C M Y CM MY CY CMY K
81430_KG_Kat_Um_engl.indd 2 06.08.2008 13:59:10 Uhr
3
®
Contents Page
What we make Product overview 4
Quality Assurance Quality Assurance – General 6 What is checked? – Reports 9 Dynamic torque protocol 10 Pitch measurement log (ball thread) 11 Thread profile protocol 13 DIN 69051 – Extracts 15 Quality Assurance in the manufacturing process 21
Ball screws: Application examples 22
– rolled Technology, Efficiency 27 Wipers, KGT mounting 28 – turned Track profile, Axial play with a single nut, Ball feedback systems 29 – ground Pre-loading the nut 30 Pre-loading the spindle, Rigidity 31 Rigidity diagram 33 Average load and speed, Drive torque and Drive power 34 Calculation DIN 69051 35 Values for stretching ball screws Efficiency, Lifetime 37 Lifetime diagram 38 Speed limits 40 Critical bending speed 41 Critical bending speed diagram 42 Buckling 43 Buckling diagram 44 Leads – Overview 45 Nut dimensions tables 47 Miniature nut dimensions tables 58 Driven nut 62 Spindle ends with bearings 66 Shaft nuts KMT 74 Spiral spring covers 76 Lubrication 78
Trapezoidal screws: Application examples 80
Trapezoidal screw spindles (dimensions) 82 Trapezoidal screw nuts (dimensions) 85 Technical data 88 Thread diameters and leads 89 Maximum loading 90 Efficiency 91 Critical bending speed/Buckling calculation 92/93 Mathematical calculations 94
A look at the factory 100
Questionnaire 104
4
®
Ball screws
In rolled, finely peeled and ground designPitch precision IT 1, IT 3, IT 5, IT 7, IT 10Spindle length up to 7000 mm depending on production
technology selected, by request even longerSpindle threading righthanded and lefthanded evenon the same spindleEvery custom pitch available according to customer requestLarge scale manufacturing also possible for theautomobile industry, for example
New ball deflection system with optimized frictionOwn ball deflection system with optimized friction in the ball thread nuts guarantees greater smoothness of running even at high speeds and higher service life as a resultDimensions according to DIN 69051 enable replacementeven after several yearsIndividual nuts, cylindrical and with flange, as well asbacklash-free nut combinations (pre-tensioning accordingto customer requirement) are available
Planetary roller screwsaccording to drawing on request
Advantages:Very high rotating speed (up to 6000 rpm)Very long service lifeVery high rigidityHigh dynamic capacity
The most modern measurement technologyModern inspection machines developed especially for the measurement of ball and trapezoidal threadspindles ensure consistent quality of each ball and trapezoidal screw that leaves the factory Measurement technology available especially forverifying profile accuracyMeasurement precision, form and position tolerancesare ensured by the controlling and documentationduring the production processMeasurement reports concerning pitch accuracytorque and rigidity can be produced upon request
Technical consultationAll calculations related to our products are providedby our experienced technicians to support you in your special application, in order to assist you in making the optimal screw selection.
Ball screws
Sliding threaded
screws
Rolled shafts
also in big volumes
for the automotive industry
Planetary roller screws
Worms and worm shafts
Subassemblies
What wemanufacture
5
®
Threaded spindles and nuts
We manufacture spindles and nuts with trapezoidal,metric, saw-tooth, ACME and special threads from8—160 mm fl and up to a length of 6 metres (longeron request) in single and multi-start designs, ready toinstall to drawing.
We also carry out all follow up operations in our factorysuch as CNC turning, CNC milling, CNC grinding, etc.as well as the straightening of spindles for maximumconcentricity using modern straightening presses.
When choosing the material for the turning and spinningof spindles with accurate leads it must be ensured thata homogeneous, consistently low stressed spindlematerial is used. We would ask you to consider oursuggested materials where possible.
Rolled threads are manufactured in diameters ofup to 60 mm and a lead of up to 9 mm.
When machining parts supplied by others on a pieceworkbasis, the preparation carried out by you should beagreed with us in each case. The same applies to thechoice of material for spindles and nuts.
Worms and worm shafts
Worms and worm shafts (single and multiple start) aremanufactured from module 2—12 and up to an outsidediameter of 160 mm.
Worms are manufactured by turning or spinning; inthis way we can achieve flank shapes approximating toDIN 3975 K.
Worms and worm shafts are manufactured exclusivelyto customer drawings.
Lead screws
Kammerer also manufactures lead screws in thetrapezoidal and ball screw range up to 1xD, largeron request
We also provide customer-specificassemblies and complete solutions.
9
®
What is checked?
Measurement of the lead accuracy every 300 mm of the ball screw (to DIN 69051) the individual pitch of each thread or, for example, every 100 mm the wobble error the radial runout error at the spindle ends the length of the spindle the flank diameter (accuracy and radial runout)
Ball screws are drive units that make it possible to position machine components highly accurately, e.g. in machine tools and measuring equipment. To achieve the required accuracy, extensive measurements are also essential between the individu al processing phases to check the manufacture.
Check measurements and tests are carried out for the following criteria, whereby some are of course only performed at the customer’s request:
Reports
We can make all the necessary measurements on ball screw spindles and nuts on our test machine
with its computer analysed lead and measurement reports. Test reports can be supplied on request.
10
®
Dynamic torque protocol
11
®
Pitch measurement log (ball thread)
12
®
Pitch measurement log (ball thread)
13
®
Thread profile protocol
14
®
Thread profile protocol
15
®
DIN extracts
16
®
17
®
18
®
19
®
20
®
22
®
Application examples
Ball screw
Main areas of application: Due to its high precision, the ball screw brings
outstanding performance to measurement and control technology, which is a deciding factor in the following areas of application.
Problem: Adjustment of textile rollers
Solution: The heavy rollers are adjusted by two ball screws installed vertically. The high efficiency of the KGT spindle enables a small drive to be used.
Axial support
The diagram shows a part section of the axial support of a numerically controlled lathe. The fast feed speed is 1200 rpm. Pre-loaded and rigid bearings are required for the ball screw spindle in this application.
Design solutionThis type of ball screw spindle bearing is a typical standard solution for precision ball screws. The drive side of the ball screw spindle is mounted in a needle
range. This has a long life due to the high dynamic rating. The positioning accuracy and repeatability of the ball screw is guaranteed by the considerable rigidity of the bearing.
Textile processing
23
®
Positioning technology
Steel sheet processing machine
Problem: Exact adjustment of a stop.
Solution: A fast and accurate positioning of the stop can be achieved by using a ball screw.
Problem: Rapid movement of sheets for laser cutting.
Solution: The coordinate table is moved using a ball screw in the X and Y axis. Long life and positional accur acy are achiev ed here without any problem.
The drawing shows the feed spindle of a CNC controlled la ser cutting machine. The ball screw spindle has a nominal diameter of 63 mm and a length of 3000 mm. Low friction and high precision determine the choice of bearing.
The operating conditions of the laser cutting machine are characterised by low feed forces and a maximum spindle speed of 500 rpm.
Design solution
The ball screw spindle is mount ed at both ends in angular-con tact
range. The long spindle is stretched by means of an adjust ing nut. A second, inner, slotted nut pre-loads the bear ing. The O-arrangement in the axial angular-contact ball bearings with a con tact angle of 60° works against the deflection of the spindle. The axial angular-contact
ball bearings are bolt ed directly to the bear ing blocks by their thick-walled, rigid outer rings.They absorb the axial forces that occur without any difficulty and guarantee low friction in operation. They are sealed on both sides with sealing rings from the RS range. Additional seals in the surrounding construction are unnecessary. The bearings are greased for life with a synthetic lubricating grease with high ageing resistance.
Bearing arrangement for ball screw spindle
24
®
Applications
Ball screw
3-co-ordinate manipulator Problem: Magazining of production parts.
Solution: A gripper and four ball screws in the X, Y and Z axes are moved by motors via a CNC control. Rapid movements are made possible by the low inherent weight of the design and the high efficiency of the ball screw.
Bearing arrangement for the ball screw nut
The primary products manufactured on this flat grinding machine are profiled workpieces. The vertical movement of the grinding head is to take place by means of an electro-mechanical drive with a ball screw spindle.
Design solution
Very small, continually varying adjustments to the grinding wheel are often necessary when grinding profiles.
The sealed and greased for life angular contact ball bearing, type
effect with these adjustments. By this means, it is possible to achieve grind ing results of the highest pre-cision. In order to keep the oscilla-tions from the ball screw as small as possible, in this case the rotating ball screw nut is mounted in bea-rings while the ball screw spindle is stationary. The two ball races in the anti-friction bear ing are arranged in O-formation at 60° contact angle to one another and are pre-loaded.
In order that the pullout torque of the motor is not absorbed solely by the fixed bearing, a needle bearing
provided as an additional supporting bearing. The needle bearing is fitted with a pre-ground inner ring. This design allows the inner ring to be finishground in the assembled state in order to achieve the smallest possible radial play.
27
®
Ball screw technology
The ball screw is a working unit for converting a rotary to a linear movement and vice-versa.
It consists of the spindle, the nut system with ball feedback elements and the balls as anti-friction elements. The balls form the connection be tween the spindle and the nut by rolling in the ap propri ate tracks in the spindle and the nut. The forces to be transmitted are distributed over a number of balls so that the result is a relatively small specific load-ing. On account of its rolling friction, the ball screw has an extremely low coefficient of friction.
Efficiency
The efficiency of ball screws is considerably higher than that of conventional trapezoidal screws due to the rolling
slip-stick effect, which makes it possible to traverse even the smallest distances accurately. With ball screws it is fundament ally possible to reverse the motion due to the low frictional losses even at relatively small lead angles, i.e. to convert a linear movement into a rotary one. There-fore, in installations where self-retardation is required, the appropriate safeguards such as brakes, for example, must be provided.
Advantages: Long life, which is many times that of the slide screw. The heat developed is considerably less, which means that higher traverse speeds are possible.
The higher cost of the ball screw can be compen sated for to a great extent by these factors. At the same time, the fact that it is not self-retarding may need to be taken into account.
When sliding friction is combined with low relative speeds (creep), intermittent sliding always occurs, the so-called slip-stick effect, even though a proportion-ately sized drive and a constant speed are used. This undesirable slip-stick effect does not occur with rolling friction enabling the same position to be achieved repeatedly.
Installation: Before installation, the ball screw must be clean ed with a cleaning fluid such as benzene, if neces sary. Cleaning fluids must not act aggressively on the wiper materials such as nylon or felt. It is not usually necessary to remove the preservative.
Ball screws are protected against corrosion in the factory and must be lubricated (oil and grease) before putting to use.
Materials for ball screws
SpindlesSteel for surface hardening Cf53Material No. 1.1213
Tensile strength Rm 600 N/mm2
Elastic limit Rp 400 N/mm2
Material No. 1.7225 42 CrMo 4
Tensile strength Rm 900 N/mm2
Elastic limit Rp 600 N/mm2
Balls100 Cr 6. Accuracy quality class I – III (highest quality class) to DIN 5401,
NutsMaterial No. 1.2067 100 Cr 6
Tensile strength Rm 980 N/mm2
Elastic limit Rp 980 N/mm2
2
Material No. 1.3536
Tensile strength Rm 690 N/mm2
Elastic limit Rp 390 N/mm2
2
Material specification for 100Cr6: Material No. 1.3505, designation to DIN 17 006Special materials on request.
ball screw nut
ball screw spindle
ball screws
conventional trapezoidal spindles
Lead angle in degrees
Effic
ienc
y in
%
28
®
Dismantling the nut: If possible, the nut and the spindle should not be
an assembly sleeve must be used (see sketch).
Abstreifer
Kugelgewindetriebe sollten grundsätzlich vor Schmutzund Verunreinigungen geschützt werden. Dies geschiehtbei KAMMERER Kugelgewindetrieben standardmäßigdurch Kunststoffabstreifer. Wir empfehlen nach entsprechender Laufzeit desKugelgewindetriebes die Abstreifer, sofern möglich,auszutauschen, um die Lebensdauer positiv zubeeinflussen.Auf Kundenwunsch liefern wir auch Kunststoffabstreifermit gleitoptimierenden Zusätzen.
Die beste Lösung ist jeoch die komplette Abdeckungdes Kugelgewindetriebes mit z.B. Spiralfeder-abdeckungen.
Kunststoffabstreifer
-0.1 -0.3 Outside ø of sleeve = core ø of spindle mm.
Slide the sleeve over the end of the spindle as far as the start of the thread and then screw the nut carefully from the thread onto the sleeve. Dismantling must be carried out without the use of force. Make sure that the nut cannot slip off the sleeve (O-ring or similar). When screwing the nut on to the spindle, the start of the thread must be screwed in carefully.
Note: The balls must not be allowed to get behind the return sections. Cleanliness must be ensured !!!
WipersBall screws should be basically protected against dirt and impurities.With the Kammerer’s ball screws, this is done by means of standard plastic wipers, which, however, might slightly protrude the nut housing.We recommend replacing the wipers, as far as possible, after the respective running time of the ball screws. This has a positive effect on the service lift.According to customer requirements, we deliver also plastic wipers offering improved sliding properties.
The best solution however is to completely cover the ball screw using a spiral spring cover, for example.
Plastic wipers
29
®
Track profile
Kammerer ball screws are basically equipped with Gothic track profiles and offer the following advantages:
Good running characteristics, high rigidity and a
good contact angle β‚ of around 45° are aimed for.
β = contact angle δa = axial play r1 = ball radius r2 = track radius
This profile with the largest possible load angle β, good lubrication conditions and a ball diameter calculated for the appropriate application brings the following advan-tages:
Axial play with a single nut
Like the anti-friction bearing, due to its design, the ball screw with a single nut has an axial play of 0.02 to 0.05 mm depending upon its dimensions, which is constant regardless of loading.
Loading causes an elastic deformation of the materials with a hysteresis-like character, which in addition gives rise to an axial displacement (see Page 32, Rigidity).
Ball feedback systems
nternal axial ball feedback with single or multiple returns depending upon the number of turns of the thread, which bear the load. The three-dimensional space curve causes the balls to run softly and with little noise, as these are taken off tangentially to the ball reference circle. The return system is independent of the lead. Leads of 1 x D or a maximum of 2 x D of the spindle are also possible.
This return system is used by Kammerer.
balls are fed back through a return tube fixed to the out-side of the ball screw nut.
Spindle, deep dry nitride hardened
Spindle, inductive hardened
Internal axial return system
Internal return system
Tube return system
30
®
Pre-loading
In order to achieve the smallest possible relative movement between the nut and the spindle, certain single nuts are tensioned against one another.
b = operating load [N]
v = pre-loading force [N] δv v δa = axial play δb b 2 · δb = return distance
operating load. Loads over and above this cause the balls of the unloaded nut to lose contact and the return distance to increase.
consistent with a life of 20 · 106 revolutions.
above:
Pre-loading nut systems
In order to eliminate the axial play and to keep the axial dis placement due to the material deformation as small as pos sible, nuts are pre-loaded.
Three types of pre-loading are distinguished:
X-pre-loading: The forces are directed inwards. The spindle is under compression in the pre-loading range. The pre-loading is increased by forcing the nuts together.
O-pre-loading: The forces are directed outwards. The spindle is under tension in the pre-loading range. The pre-loading is increased by forcing the nuts apart.
Pre-loading using oversized balls: The most cost-effective solution, as only half the nut length has to be manufac-tured, creates the pre-loading by the oversize of the balls (= four point contact) and which is thus finding more fre-quent usage.
The pre-loading is adjusted by varying the diameter of the balls.
12.83
Nut 1
Fv (p
re-l
oad
ing
-fo
rce)
Axial play
Nut 2
O-pre-
loading
31
®
Pre-loading – Kammerer Pre-loading No. 1 is the preferred method used
by Kammerer.
Rigidity The total rigidity (Ctot) of a system is made up
The effect of all the factors should therefore be taken into account.
For the ball screw: A = nut cross sectional area [mm2]
E = modulus of elasticity 21 · 104 [N/mm2]
Use L1 or L2 according to the direction of the
b
L1 ≈ 0.5 · nut lengthL2 ≈ 0.75 · nut length
Rigidity of the nut unit (cme)
cme = fcm · ck [N/μm]
fcm = 0.55 (internal pre-loading for single nuts)fcm = 0.70 (pre-loaded double nut)
Rigidity of the body of the nut (cm)
Rigidity in the ball area (Ck) The axial rigidity in the ball area is derived from:
The rigidity values for the ball area can be read off from the table on Page 32.
The rigidities for designs not given in the table can be calculated from the following overview and formulae.
-lutions for each nut and a ratio of
operating load [N] pre-loading force [N] rigidity factor [N/μm2/3]number of revolutions 3/2
[N/μm]
[N/μm]
Values for stretching ball screws2
2
2
2
2
2
Delta P = (a* l* Delta t) /1000 (mm)
A = (dm2 * 3.1416 )/ 4 (mm2) P = pitch (mm) a = thermal coefficient of expansion (steel = 0.011mm/m* degrees) l = spindle length in (mm) t = temperature difference (degree) max value 5 °C otherwise
consultation with Kammerer. E = modulus of elasticity 210000 N/mm2 (steel) A = spindle cross sectional area (mm2)
Pre-loading of spindles Spindles are pre-loaded to increase the positioning accuracy. Changes
in length due to foreseeable temperature differences are avoided.
lead ( P) over the whole length is given by the following equation:coefficient of expansion (steel = 0.011 mm/m · degree) total length of spindle (m)
temperature difference (°C)
necessary lead variation from equationmodulus of elasticity (21 x 104 N/mm2 for steel)spindle cross section (mm2), see equationtotal length of spindle (mm)
average spindle diameter
A temperature difference of ca. 5° can be expected here. The nominal lead is achieved by stretching the spindle
is calculated from:
The speeds can also be increased when a spindle has been put under tension.
Nut 1 Nut 2
Grub screw with
centring point
Feather key connection
32
®
Rigidity of the spindle between bearings (cs)
The rigidity of the spindle is dependent upon the type of bearings.
Single-sided fixed bearing, case 1
Single-sided fixed bearing, case 2
Example – Calculation of rigidity
Nut system DIN 69051 according to dimension sheet Nominal diameter d0 = 50 mm Lead P = 10 mm Number of revolutions i = 5 Dynamic rating C = 98 400 N
b = 25000 N Spindle length between bearings l = 1000 mm Rigidity factor k = 53.51 N/μm Spindle cross sectional area A1 = 1548 mm2
Nut cross sectional area A2 = 1970 mm2
E = modulus of elasticity 21 · 104 [N/mm2]l = length between bearings or between
bearing and nut [mm]A = spindle cross sectional area [mm2]dm = average spindle diameter [mm]
(see table on Page 41 (“critical bending speed”)
Calculation of the total rigidity
1. Rigidity of the ball area
3.Rigidity of the nut body
3. Rigidity of the spindle
3.1 Single-sided fixed bearing
3.2 Double-sided fixed bearing
2. Rigidity of the nut area
( )
( )
/2428
551,53250002
2
3 2
32
mNc
ikFc
k
bk
=
=
=
/170024287,0
7,0cme
mN
ck
=
[ ]
/4221
1098
10211970
/10
3
4
3
2
mNc
c
mNl
EAc
m
m
m
=
=
=
[ ]
/325
101000
10211548
/10
3
4
3
1
mNc
c
mNl
EAc
s
s
s
=
=
=
[ ]
/13003254
/10
43
1
mNc
mNl
EAc
s
s
==
=
4. Total rigidity
111111
ccccccsmesmkges
+=++=
4.1 Single-sided fixed bearing
/273
325
1
1700
11
mNc
c
ges
ges
=
+=
/737
1300
1
1700
11
mNc
c
ges
ges
=
+=
/268325
1
4221
1
2428
11
1111
mNc
cccc
ges
smkges
=++=
++=
/7051300
1
4221
1
2428
11mN
cges
=++=
4.2 Double-sided fixed bearing
4.3 Single-sided fixed bearing
4.4 Double-sided fixed bearing
D
K =
bal
l dia
met
er
d =
bal
l ref
eren
ce c
ircl
e
i =
num
ber
of th
read
s be
arin
g th
e lo
ad
K
=
rigi
dity
fact
or p
er th
read
c k
=
rigi
dity
of t
he d
oubl
e nu
t
RigidityC
alcu
latio
n of
the
axia
l res
ilien
ce o
f a b
all s
crew
in
the
ball
area
with
a r
igid
ity fa
ctor
K (s
ee a
djac
ent
tabl
e).
Nut
rig
idity
Cm
e = f cm
· c k
f cm =
0.5
5 fo
r in
tern
ally
pre
-loa
ded
sing
le n
uts
f cm =
0.7
0 fo
r pr
e-lo
aded
dou
ble
nuts
Dim
en-
sion
and
pi
tch
DK
Ød
iC
dyn
(N)
K/
Bal
lK
DpM
/
Rnu
,ar
EfM
/
Rnu
,ar
Spin
dle-
Ø
h6B
all-
ØB
all r
e-fe
renc
e ci
rcle
Cir
cula
-ti
ons
Load
ra
ting
Rig
idit
y ch
arac
te-
rist
ic
Rig
idit
yR
igid
ity
5%C
dyn
5%C
dyn
10x2
101,
5810
,22
2200
24,6
249
,24
5670
12x2
121,
5812
,22
2600
28,7
457
,48
6380
12x3
122,
3812
,42
240
0023
,43
46,8
687
110
12x5
122,
3812
,42
240
0023
,31
46,6
212
215
5
16x5
162,
3816
,42
410
400
31,7
412
6,96
196
248
16x1
016
2,38
16,4
23
7900
31,3
193
,93
282
356
16x1
616
2,38
16,4
22
5300
32,0
764
,14
341
431
20x5
203,
175
20,5
520
900
34,7
817
3,9
262
331
20x1
020
3,17
520
,53
1300
034
,48
103,
4435
244
420
x20
203,
175
20,5
286
0035
,17
70,3
449
462
2
25x5
243,
524
,55
2590
038
,59
192,
9530
037
725
x10
243,
524
,53
1610
038
,34
115,
0240
350
625
x20
243,
524
,52
1080
039
,39
78,7
856
871
325
x25
243,
524
,52
1070
038
,71
77,4
265
181
9
32x5
303,
530
,55
2860
048
,78
243,
936
045
232
x10
304,
531
,04
3290
043
,61
174,
4455
563
732
x10
306,
3531
,54
5180
038
,18
152,
7259
174
332
x20
306,
3531
,53
3930
037
,61
112,
8384
910
6932
x32
306,
3531
,52
2620
036
,51
73,0
299
112
45
40x5
383,
538
,55
3160
063
,04
315,
243
754
840
x10
386,
3539
,54
5840
046
,45
185,
874
593
540
x20
386,
3539
,53
4450
046
,00
138
997
1249
40x2
038
839
,53
5970
042
,52
127,
5610
4813
15
33
®
nu
t sys
tem
can
be
read
off
from
the
rigi
dity
fact
or a
nd th
e op
era t
ion a
l lo
adin
g in
N; e
.g. K
GT
50 x
10:
Exam
ple
1:K
= 5
3.51
≈ 3
0 μm
Exam
ple
2:K
= 5
3.51
≈ 5
7 μm
40x2
038
9,52
40,0
43
7430
039
,78
119,
3410
8013
5540
x40
388
39,5
239
600
40,9
981
,98
1415
1775
40x4
038
9,52
40,0
42
4940
038
,38
76,7
614
5918
30
50x5
483,
548
,56
4080
079
,33
475,
9855
169
050
x10
487,
548
,55
9840
053
,51
267,
5589
711
2150
x20
487,
548
,54
8000
053
,18
212,
7213
3116
6650
x20
488
49,5
488
000
51,8
820
7,52
1359
1704
50x3
048
7,5
48,5
479
500
55,5
822
2,32
1804
2261
50x3
048
849
,54
8740
051
,36
205,
4417
7822
3450
x40
487,
548
,54
7880
054
,82
219,
2821
7427
2650
x40
488
49,5
486
700
53,6
321
4,52
2218
2789
50x5
048
7,5
48,5
359
700
53,8
816
1,64
2259
2831
50x5
048
849
,53
6570
052
,72
158,
1623
0828
98
63x5
603,
560
,56
4450
097
,66
585,
9664
280
163
x10
607,
560
,56
1286
0068
,43
410,
5811
4614
2963
x20
607,
560
,54
8890
068
,16
272,
6415
9819
9163
x20
609,
5262
,04
617
8500
60,1
136
0,66
1890
2368
63x4
060
7,5
60,5
488
000
67,1
026
8,4
2546
3185
63x4
060
9,52
62,0
44
1225
0059
,20
236,
826
1432
7363
x50
607,
560
,53
6690
066
,34
199,
0226
5633
1763
x50
609,
5262
,04
393
200
61,7
918
5,37
2822
3524
80x1
080
6,35
81,5
611
5800
98,6
259
1,72
1340
1651
80x1
080
7,5
80,5
614
5300
89,3
153
5,86
1365
1685
80x2
080
12,7
82,5
420
7800
69,5
727
8,28
2095
2596
80x2
080
12,7
82,5
629
9800
69,5
741
7,42
2428
3026
80x4
080
12,7
82,5
420
6700
68,9
627
5,84
3372
4200
80x6
080
12,7
82,5
315
7000
67,9
820
3,94
3977
4948
100x
1010
06,
3510
1,5
612
6300
123,
3173
9,86
1527
1862
100x
1010
07,
510
0,5
615
9000
113,
1667
8,96
1573
1922
100x
2010
012
,710
2,5
423
0000
85,1
234
0,48
2424
2988
100x
2010
012
,710
2,5
633
1800
85,1
251
0,72
2823
3504
100x
4010
012
,710
2,5
422
9200
84,6
433
8,56
3928
4870
120x
1012
07,
512
0,5
617
0700
134,
0380
4,18
1865
2295
120x
2012
012
,712
2,5
424
8600
104,
5341
8,12
2750
3361
120x
2012
012
,712
2,5
635
8600
104,
5362
7,18
3229
3980
120x
4012
012
,712
2,5
424
8000
104,
1141
6,44
4493
5531
160x
2016
012
,716
2,5
427
9200
139,
4755
7,88
3212
3862
160x
2016
012
,716
2,5
640
2900
139,
4783
6,82
3831
4660
160x
4016
012
,716
2,5
427
8800
139,
1555
6,6
5325
6464
Rigidity
Nut rigidity Cme = fcm · ck
fcm = 0.55 for internally pre-loaded single nuts
fcm = 0.70 for pre-loaded double nuts
nut system can be read off from the rigidity factor and the opera tion al loading in N; e.g. KGT 50 x 10:
Example 1:K = 53.51
≈ 30 μm
Example 2:K = 53.51
≈ 57 μm
34
®
Average loading
Constant speed / varying load
etc.
etc.
etc. [rpm]
Constant speed / linearly varying load
Speed and load varying
bm = average axial load [N] nm = average speed [rpm] q1 = proportion of time used referred to 100 % n1 = speed values
Average speed
Drive torque and drive power
If a torque is to be converted to a longitudinal force, then:
When a longitudinal force is converted to a torque (lead angle ≥ 5°):
The drive power is calculated from:
Ma = Drive torque [Nm]Me = Output torque [Nm]n = Speed [rpm]P = Lead [mm]Pa = Power [kW]η = Efficiency [0.9 – 0.95]
Lo
ad
FS
peed
n
Proportion
of time
q (%)
Proportion
of time
q (%)
35
®
Calculation DIN 69051
Life time rigidity4/10/2008 10:25
Customer Kammerer Draw-ing no.
Z axis G DYN
Type KGT50 x 40 x 1480
Pitch Ph 50 mm
Contact Angle a 45 °
Reference Circle Diameter DpW 62,04 mm
Ball Diameter DW 9,525 mm
Number of Threads g 1
Ball Circulation i 3
Osculation frs(rn) 0,54
720
Smelting factor fm 1,44
Dynamic factor and ceramic spheres fdyn 1 Normal sphere filling
fr 1
fac 1
fk 0,32
0,25
Duty Cycle in % ED. ED 100 %
Nut Ø D1 95 mm
Nut Length L2 100 mm
Unsupported spindle length Ls 1350 mm
Initial Tension of Nut for Rigidity 2000 N
49000 N
Max. Actual Speed of Nut Max. M 2000 U/min
C stat. Cstat 168.705 N
C dyn. Cdyn 93.351 N
DIN Simulation Calculation Normal = 0 3 0
Rigidity Values EM DpM
Spindle rigidity with fixed-loose bearing Rs 1 375 N/ym 375
Spindle rigidity with fixed-fixed bearing Rs 2 1502 N/ym 1502
Spindle rigidity Rs 1min
375 N/ym 375
Spindle rigidity Rs 2min
1494 N/ym 1494
Nut Rigidity incl. spindle in nut area Rnuar 2822 N/ym 3524
Total rigidity fixed-loose +Rnuar Rtot1 283 N/ym 283
Total rigidity fixed-fixed +Rnuar Rtot2 977 N/ym 977
Deformation of track by pretension lb/t= 1,3 ym 1,3
Existing rigidity up to max. 2.83*pretensioning force Rb/t= 5518 N/ym 7022
Nut rigidity incl. spindle in nut area Rnu= 5131 N/ym 6407
36
®
Calculation DIN 69051
Life time rigidity 4/10/2008 10:25
Customer Kammerer Draw-ing no.
Z axis G DYN
C stat. Cstat 168.705 N
C dyn. Cdyn 93.351 N
Equivalent no. of revolutions nm 601 rpm
Equivalent load 18493 N
Dyn. equivalent load 12822 N
-5671 N
Life time EM Lm 128622831 rpm.
Life time DpM sym. circ. Lm 128622831 rpm.
Life time in hours 3568 h
Life time in hours with ED % 100 % 3568 h
Whipping speed rpm 1047
Total rotating spindle mass. N 273
Roll proportion Üf 6,51 i
Limit speed of roller element 13026 rpm.
Torque Ma 395,12 N/m
Torque Me 384,74 N/m
Torque Mi 2,39 N/m
Efficiency 1 h 0,99
Efficiency 2 h 0,99
Drive power KW 82,75
Buckling factor 106609 N
Mass reactance torque int. diam. KGT spindle Kg/m2 0,017
Load summary
Type of burden 1 speed 1 rotat. 50 Axial force 1 in N 7245 Time share 1 in % 12,50
Type of burden 2 speed 2 rotat. 50 Axial force 1 in N 23245 Time share 2 in % 12,50
Type of burden 3 speed 3 rotat. 200 Axial force 1 in N 13245 Time share 3 in % 25,00
Type of burden 4 speed 4 rotat. 200 Axial force 1 in N 17245 Time share 4 in % 25,00
Type of burden 5 speed 5 rotat. 2000 Axial force 1 in N 14245 Time share 5 in % 11,50
Type of burden 6 speed 6 rotat. 2000 Axial force 1 in N 16245 Time share 6 in % 11,50
Type of burden 7 speed 7 rotat. 1414 Axial force 1 in N 19742 Time share 7 in % 1,00
Type of burden 8 speed 8 rotat. 1414 Axial force 1 in N 48232 Time share 8 in % 1,00
Type of burden 9 speed 9 rotat. 0 Axial force 1 in N 0 Time share 9 in % 0,00
Type of burden 10 speed 10 rotat. 0 Axial force 1 in N 0 Time share 10 in %
0,00
Type of burden 11 speed 11 rotat. 0 Axial force 1 in N 0 Time share 11 in %
0,00
Type of burden 12 speed 12 rotat. 0 Axial force 1 in N 0 Time share 12 in %
0,00
37
®
Efficiency or ’
= lead angle [°]P = lead [mm]do = ball reference circle [mm] = angle of friction [°] ≈ 0,2°
to 0,35°
If a torque is to be converted to a longitudinal force, then:
When a longitudinal force is converted to a torque:
L = lifetime [revolutions]Lh = lifetime [h]Co = static rating [N]C = dynamic rating [N]
am = average axial load [N]
a max = max. axial load [N]nm = average speed [rpm]fn = utilisation factor
Guide values for machine life:
1-shift: 10,000 to 20,000 hours2-shift: 20,000 to 40,000 hours
Lifetime
The lifetime (better, nominal life) is expressed by the number of revolutions (or number of operating hours at constant speed) that 90 % of a sufficiently large number of identical ball screws achieve or exceed before the first signs of material fatigue occur. The nominal lifetime is designated with L or Lh if the figure is expressed in revolu-tions or hours respectively.
The dynamic rating C is to be understood to mean an axial load acting centrally (given in N) of unvarying magnitude and direction under which a sufficiently large number of identical ball screws achieve a nominal life of one million revolutions.
The static rating C0 is to be understood to mean an axial load acting centrally (given in N) which causes a total permanent deformation of 0.0001 x the ball diameter between the ball and the ball track.
As ball screws are sensitive to radial and eccentric loads, these should be avoided if possible.
Duration of use (h)fn =
Planned utilisation of the machine (h)
38
®
Lifetime diagram Mini-KGT (Ø 8 – Ø 16)
Lo
ad
Fam [kN
]
Lifetime L [106 revolutions]
39
®
Lifetime diagram KGT (Ø 16 – Ø 160)
Lo
ad
Fam [kN
]
Lifetime L [106 revolutions]
40
®
Example – Calculation of lifetime Given load and speed values:
1 b1 = 7,500 N, q1 = 25 % Roughing work: n2 b2 = 25,000 N, q2 = 40 %
3 b3 = 18,000 N, q3 = 35 % Lifetime of the machine: Lh = 10,000 h Utilisation factor of the ball screw: fn = 0.5
Required nominal diameter of the ball screw 40 or 50 mm, lead 10 mm. (These two diameters are derived from the critical speed and the installation conditions).
Speed limits referred to the nut system The maximum speed possible for a ball screw depends above all on the type of construction and the ball feed back
Under the assumption that the ball screw is relatively lightly loaded and that it is well lubricated, the maximum possible speed can be calculated by a formula.
Speed factor for grease lubrication K ≈ 60,000 – 100,000 oil lubrication K ≈ 90,000 – 200,000
vmax = max. possible traverse speed (mm/sec)P = thread lead (mm)
The maximum possible traverse speed can be calculated from the formula:
With speed factors above 20,000, the dynamic rating of the ball screw should include a safety margin of at least 20 %.
avoided at maximum traverse speed as otherwise the wear factor (lifetime) will be adversely affected.
These figures are purely for guidance. It should be especially noted that above speeds of 3000 rpm, technical consultation with our engineers is necessary. With ceramic spheres filling ≈ limit speed 30 % higher.
Knmax =
d
nmax = max. speed (rpm)K = speed factord = spindle diameter (mm)
K · Pvmax =
60 · d
n
qn
qn
qnn
m
m
min5,376100
35150
100
4060
100
251200
100100100
1
3
3
2
2
1
1
=++=
+++= �
1. Calculating the average speed (nm) [rpm]
[ ]
NF
q
n
nF
q
n
nF
q
n
nFF
bm
m
b
m
b
m
bbm
897.12100
35
5,376
150000.18
100
40
5,376
60000.25
100
25
5,376
12007500
100100100
)(gg
3333
3333
3
223
2
113
1
bm
=++=
+++= �
bm) [N]
3. Required lifetime (L): L = 60 · Lh · nm · fn
4. Calculation of the required dynamic loading capacity (C)
N C
L FC
bm
342.6210
1095,112897.12
10
3
6
6
36
==
=
[ ] [ ]
hLUmdrL
hfn
LL
F
CL
h
nm
h
bm
322.395,05,37660
10444.1044410
897.12
400.98
60Umdr.10
6
66
3
6
3
====
==
a dynamic rating of C = 98,400 N is chosen from the dimension sheets.
5. Re-examination of the expected lifetime (L and Lh)
Je nach Durchmesser + Überrollverhältnis = (AD/Kugel-Ø)
L 1095,1125,05,376000.10606
== rpm
rpm
rpm
rpm
...
...
41
®
Calculation of critical bending speed
Calculation of the critical bending speed nkr Take speed limits of the nut system into account
(see Page 40) 0.8 = safety factornkr = critical speed from the diagram [rpm]fk = correction factordm = average thread diameter, see table below
la = bearing spacing [mm]nzul = permissible speed [rpm]
Average thread diameter = dm Weight of the spindle/metre = N/m
case 1
Correction factor
case 2
case 3
case 4
KGT Type Ball-Ø dm Ø N/m 10x 2 1,58 9,3 5,3 12x 3 2,38 11,0 7,4 12x 5 2,38 11,0 7,4 16x 5 2,38 15,0 13,9 20x 5 3,175 18,6 21,3 25x 5 3,5 22,5 31,3 32x 5 3,5 28,5 49,9 40x 5 3,5 36,5 81,9 50x 5 3,5 46,5 133,0 63x 5 3,5 58,5 210,6 32x10 4,5 28,2 49,0 32x10 6,35 27,5 46,6 40x10 6,35 35,5 77,7 50x10 7,5 44,4 121,5 63x10 7,5 56,4 196,1 80x10 6,35 77,5 370,3 80x10 7,5 76,4 359,9100x10 7,5 96,4 572,9120x10 7,5 116,4 835,3 63x20 7,5 56,4 196,1 80x20 12,7 74,8 344,5100x20 12,7 94,8 553,5120x20 12,7 114,8 811,8160x20 12,7 154,8 1476,5
42
®
Critical bending speed diagram
Critical b
end
ing
sp
eed
ncr [
rpm
]
Unsupported spindle length L [103 mm]
Speed limits of the nut system are to be observed, see Page 40. Correction factor depending on bearing type to be observed, see Page 41.
43
®
Buckling
kn as a function of the spindle length Lk and the core diameter of the spindle.
dk = core diameter of the spindleLk = unsupported spindle lengthfk = correction factor for bearing type
Correction factor fk for taking the type of bearing into account:
Bucklin
g fo
rce F
kn [kN
]
Unsupported spindle length L [103 mm]
Core diameter see Nut dimen-sions tables, page 47 to 55.
44
®
Buckling – diagram
KGT (Ø 20–160)
Bucklin
g fo
rce F
kn [kN
]
Buckling factor see Page 43
Buckling length L [103 mm] (unsupported spindle length)
45
®
Leads – Overview
Spindle ø Lead – standard
We can supply any lead on request (maximum lead = 2 x diameter). The spindle length can be up to 6000 mm depending on the diameter. Even special lengths are no problem for us.
Pre-loaded flanged double nut
Cylindrical double nut
pre-loaded flanged single nut
Pre-loaded centre-flanged double nut
Single nut with and without screw flange
Nut systems
Cylindrical single nut
produced?The lead accuracies are in accordance with DIN 69051, Part 3: 3/5/7/10. Test certificates can be provided. Depending on the application, the leads are ground, fine turned or rolled.
preferred standard range
46
®
FM Nut
Nut dimensions table FM
Dimension and lead
Spindle-Ø h6 Ball-ØCore-Ø D1g6 D4 Drilling
diagrammNo. of holes
D5 D6
Spindle Centr-Ø Geometrical-Ø
Drilling-Ø Flange-Ø Fit
16x5 16 2,38 14,0 28 38 1 6 5,5 4816x10 16 2,38 14,0 28 38 1 6 5,5 4816x16 16 2,38 14,0 28 38 1 6 5,5 4820x5 20 3,175 17,2 36 47 1 6 6,6 5820x10 20 3,175 17,2 36 47 1 6 6,6 5820x20 20 3,175 17,2 36 47 1 6 6,6 5825x5 24 3,5 20,9 40 51 1 6 6,6 6225x10 24 3,5 20,9 40 51 1 6 6,6 6225x20 24 3,5 20,9 40 51 1 6 6,6 6225x25 24 3,5 20,9 40 51 1 6 6,6 6232x5 30 3,5 26,9 50 65 1 6 9 8032x10 30 4,5 26,4 50 65 1 6 9 8032x10 30 6,35 25,0 56 71 1 6 9 86 232x20 30 6,35 25,0 56 71 1 6 9 86 232x32 30 6,35 25,0 56 71 1 6 9 86 240x5 38 3,5 34,9 63 78 2 8 9 93
40x10 38 6,35 33,0 63 78 2 8 9 93 240x20 38 6,35 33,0 63 78 2 8 9 93 240x20 38 8,0 31,3 70 85 2 8 9 100 240x20 38 9,52 30,3 75 93 2 8 11 110 240x40 38 8,0 31,3 70 85 2 8 9 100 240x40 38 9,52 30,3 75 93 2 8 11 110 250x5 48 3,5 44,9 75 93 2 8 11 11050x10 48 7,5 40,8 75 93 2 8 11 11050x20 48 7,5 40,8 75 93 2 8 11 110 250x20 48 8,0 41,3 82 100 2 8 11 118 250x30 48 7,5 40,8 75 93 2 8 11 110 250x30 48 8,0 41,3 82 100 2 8 11 118 250x40 48 7,5 40,8 75 93 2 8 11 110 250x40 48 8,0 41,3 82 100 2 8 11 118 250x50 48 7,5 40,8 75 93 2 8 11 110 250x50 48 8,0 41,3 82 100 2 8 11 118 263x5 60 3,5 56,9 90 108 2 8 11 12563x10 60 7,5 52,8 90 108 2 8 11 12563x20 60 7,5 52,8 90 108 2 8 11 125 263x20 60 9,52 52,3 95 115 2 8 13,5 135 263x40 60 7,5 52,8 90 108 2 8 11 125 263x40 60 9,52 52,3 95 115 2 8 13,5 135 263x50 60 7,5 52,8 90 108 2 8 11 125 263x50 60 9,52 52,3 95 115 2 8 13,5 135 280x10 80 6,35 75,0 105 125 2 8 13,5 14580x10 80 7,5 72,8 108 128 2 8 13,5 14880x20 80 12,7 69,5 125 145 2 8 13,5 165 280x20 80 12,7 69,5 125 145 2 8 13,5 165 280x40 80 12,7 69,5 125 145 2 8 13,5 165 280x60 80 12,7 69,5 125 145 2 8 13,5 165 2100x10 100 6,35 95,0 125 145 2 8 13,5 165100x10 100 7,5 92,8 128 148 2 8 13,5 168100x20 100 12,7 89,5 150 176 2 8 17,5 202 2100x20 100 12,7 89,5 150 176 2 8 17,5 202 2100x40 100 12,7 89,5 150 176 2 8 17,5 202 2120x10 120 7,5 112,8 150 176 2 8 17,5 202 2120x20 120 12,7 109,5 170 196 2 8 17,5 222 2120x20 120 12,7 109,5 170 196 2 8 17,5 222 2120x40 120 12,7 109,5 170 196 2 8 17,5 222 2160x20 160 12,7 149,5 210 243 2 8 22 275 2160x20 160 12,7 149,5 210 243 2 8 22 275 2160x40 160 12,7 149,5 210 243 2 8 22 275 2
FM 08.04.2008 Same-construction left-handed threads, special pitches and double-thread versions are available on request. Identical to versions of previous catalog Yellow: special diameter D1+3 mm due to thin walls.
Drilling diagram 1 Drilling diagram 2
Lubrication connection
Wiper
47
®
L1 L2 L7 L8 L9 L10 L11 Lubrication connection
Cdyn (KN) Cstat (KN) i
size Total length Flange width Form B Form C Thread depthDist. lubr.
width Rating RatingNumber ofrevolution
10 45 10 40 44 8 5 M6 10,4 15,2 410 55 10 40 44 8 5 M6 7,9 11,0 310 60 10 40 44 8 5 M6 5,3 6,9 210 52 10 44 51 8 5 M6 20,9 32,1 510 60 10 44 51 8 5 M6 13,0 18,4 310 70 10 44 51 8 5 M6 8,6 11,6 210 60 10 48 55 8 5 M6 25,9 42,5 510 60 10 48 55 8 5 M6 16,1 24,2 310 70 10 48 55 8 5 M6 10,8 15,2 210 85 10 48 55 8 5 M6 10,7 15,3 210 60 12 62 71 8 6 M6 28,6 53,5 510 80 12 62 71 8 6 M6 32,9 54,4 420 80 14 65 75,5 8 7 M6 51,8 75,5 420 95 14 65 75,5 8 7 M6 39,3 54,8 320 120 14 65 75,5 8 7 M6 26,2 34,2 210 70 14 70 81,5 10 7 M8x1 31,6 68,4 520 88 14 70 81,5 10 7 M8x1 58,4 97,1 420 95 14 70 81,5 10 7 M8x1 44,5 70,8 325 110 14 75 87,5 10 7 M8x1 59,7 87,6 325 110 16 85 97,5 10 8 M8x1 74,3 104,8 325 130 14 75 87,5 10 7 M8x1 39,6 54,3 225 140 16 85 97,5 10 8 M8x1 49,4 64,6 216 70 16 85 97,5 10 8 M8x1 40,8 105,5 616 98 16 85 97,5 10 8 M8x1 98,4 179,5 520 135 16 85 97,5 10 8 M8x1 80,0 140,8 425 135 16 92 105 10 8 M8x1 88,0 153,4 420 170 16 85 97,5 10 8 M8x1 79,5 141,2 425 170 16 92 105 10 8 M8x1 87,4 154,0 420 220 16 85 97,5 10 8 M8x1 78,8 141,0 425 220 16 92 105 10 8 M8x1 86,7 153,9 420 210 16 85 97,5 10 8 M8x1 59,7 102,5 325 210 16 92 105 10 8 M8x1 65,7 112,5 316 70 18 95 110 10 9 M8x1 44,5 132,1 616 120 18 95 110 10 9 M8x1 128,6 275,6 625 135 18 95 110 10 9 M8x1 88,9 179,1 425 190 20 100 117,5 10 10 M8x1 178,5 355,2 625 220 18 95 110 10 9 M8x1 88,0 178,1 425 220 20 100 117,5 10 10 M8x1 122,5 230,2 425 220 18 95 110 10 9 M8x1 66,9 129,7 325 220 20 100 117,5 10 10 M8x1 93,2 168,5 316 125 20 110 127,5 10 10 M8x1 115,8 321,3 616 125 20 113 130,5 10 10 M8x1 145,3 372,0 625 160 25 130 147,5 10 12,5 M8x1 207,8 406,1 425 200 25 130 147,5 10 12,5 M8x1 299,8 628,1 625 240 25 130 147,5 10 12,5 M8x1 206,7 407,9 425 260 25 130 147,5 10 12,5 M8x1 157,0 296,3 316 125 22 130 147,5 10 11 M8x1 126,3 401,9 616 125 22 133 150,5 10 11 M8x1 159,0 468,4 625 190 30 155 178,5 10 15 M8x1 230,0 510,1 425 220 30 155 178,5 10 15 M8x1 331,8 789,8 625 250 30 155 178,5 10 15 M8x1 229,2 512,6 425 125 25 155 178,5 10 12,5 M8x1 170,7 562,8 625 180 30 175 198,5 10 15 M8x1 248,6 619,6 425 220 30 175 198,5 10 15 M8x1 358,6 951,3 625 260 30 175 198,5 10 15 M8x1 248,0 616,9 425 190 40 215 245 10 20 M8x1 279,2 827,0 425 230 40 215 245 10 20 M8x1 402,9 1279,6 625 270 40 215 245 10 20 M8x1 278,8 830,6 4
Form A Form B Form C
Forms of flange
Nut dimensions table FM
FM
Drilling diagram 1 Drilling diagram 2
Wiper
Form A Form B Form C
Forms of flange
Lubrication connection
48
®
DpFM Nut
Nut dimensions table DpfM
Dimensions and lead
Spindle-Ø h6 Ball-ØCore-Ø D1g6 D4 Drilling
diagrammNo. of holes
D5 D6 L
Spindle Centr-Ø Geometrical-Ø
Drilling-Ø Flange-Ø Fit
16x5 16 2,38 14,0 28 38 1 6 5,5 48 116x10 16 2,38 14,0 28 38 1 6 5,5 48 116x16 16 2,38 14,0 28 38 1 6 5,5 48 120x5 20 3,175 17,2 36 47 1 6 6,6 58 120x10 20 3,175 17,2 36 47 1 6 6,6 58 120x20 20 3,175 17,2 36 47 1 6 6,6 58 125x5 24 3,5 20,9 40 51 1 6 6,6 62 125x10 24 3,5 20,9 40 51 1 6 6,6 62 125x20 24 3,5 20,9 40 51 1 6 6,6 62 125x25 24 3,5 20,9 40 51 1 6 6,6 62 132x5 30 3,5 26,9 50 65 1 6 9 80 132x10 30 4,5 26,4 50 65 1 6 9 80 132x10 30 6,35 25,0 56 71 1 6 9 86 232x20 30 6,35 25,0 56 71 1 6 9 86 232x32 30 6,35 25,0 56 71 1 6 9 86 240x5 38 3,5 34,9 63 78 2 8 9 93 140x10 38 6,35 33,0 63 78 2 8 9 93 240x20 38 6,35 33,0 63 78 2 8 9 93 240x20 38 8,0 31,3 70 85 2 8 9 100 240x20 38 9,52 30,3 75 93 2 8 11 110 240x40 38 8,0 31,3 70 85 2 8 9 100 240x40 38 9,52 30,3 75 93 2 8 11 110 250x5 48 3,5 44,9 75 93 2 8 11 110 150x10 48 7,5 40,8 75 93 2 8 11 110 150x20 48 7,5 40,8 75 93 2 8 11 110 250x20 48 8,0 41,3 82 100 2 8 11 118 250x30 48 7,5 40,8 75 93 2 8 11 110 250x30 48 8,0 41,3 82 100 2 8 11 118 250x40 48 7,5 40,8 75 93 2 8 11 110 250x40 48 8,0 41,3 82 100 2 8 11 118 250x50 48 7,5 40,8 75 93 2 8 11 110 250x50 48 8,0 41,3 82 100 2 8 11 118 263x5 60 3,5 56,9 90 108 2 8 11 125 163x10 60 7,5 52,8 90 108 2 8 11 125 163x20 60 7,5 52,8 90 108 2 8 11 125 263x20 60 9,52 52,3 95 115 2 8 13,5 135 263x40 60 7,5 52,8 90 108 2 8 11 125 263x40 60 9,52 52,3 95 115 2 8 13,5 135 263x50 60 7,5 52,8 90 108 2 8 11 125 263x50 60 9,52 52,3 95 115 2 8 13,5 135 280x10 80 6,35 75,0 105 125 2 8 13,5 145 180x10 80 7,5 72,8 108 128 2 8 13,5 148 180x20 80 12,7 69,5 125 145 2 8 13,5 165 280x20 80 12,7 69,5 125 145 2 8 13,5 165 280x40 80 12,7 69,5 125 145 2 8 13,5 165 280x60 80 12,7 69,5 125 145 2 8 13,5 165 2100x10 100 6,35 95,0 125 145 2 8 13,5 165 1100x10 100 7,5 92,8 128 148 2 8 13,5 168 1100x20 100 12,7 89,5 150 176 2 8 17,5 202 2100x20 100 12,7 89,5 150 176 2 8 17,5 202 2100x40 100 12,7 89,5 150 176 2 8 17,5 202 2120x10 120 7,5 112,8 150 176 2 8 17,5 202 2120x20 120 12,7 109,5 170 196 2 8 17,5 222 2120x20 120 12,7 109,5 170 196 2 8 17,5 222 2120x40 120 12,7 109,5 170 196 2 8 17,5 222 2160x20 160 12,7 149,5 210 243 2 8 22 275 2160x20 160 12,7 149,5 210 243 2 8 22 275 2160x40 160 12,7 149,5 210 243 2 8 22 275 2
DpfM 08.04.2008 Same-construction left-handed threads, special pitches and double-thread versions are available on request. Identical to versions of previous catalog Yellow: special diameter D1+3 mm due to thin walls.
Drilling diagram 1 Drilling diagram 2
Wiper
Lubrication connection
Locking device
49
L1 L2 L7 L8 L9 L10 L11 Lubricationconnection
Cdyn (KN) Cstat (KN) i
size Total length Flange width Form B Form C Thread depthDist. lubr.
width Rating RatingNumber ofrevolution
0 85 10 40 44 8 5 M6 10,4 15,2 40 110 10 40 44 8 5 M6 7,9 11,0 30 115 10 40 44 8 5 M6 5,3 6,9 20 95 10 44 51 8 5 M6 20,9 32,1 50 110 10 44 51 8 5 M6 13,0 18,4 30 135 10 44 51 8 5 M6 8,6 11,6 20 95 10 48 55 8 5 M6 25,9 42,5 50 110 10 48 55 8 5 M6 16,1 24,2 30 135 10 48 55 8 5 M6 10,8 15,2 20 155 10 48 55 8 5 M6 10,7 15,3 20 105 12 62 71 8 6 M6 28,6 53,5 50 150 12 62 71 8 6 M6 32,9 54,4 4
20 150 14 65 75,5 8 7 M6 51,8 75,5 420 190 14 65 75,5 8 7 M6 39,3 54,8 320 200 14 65 75,5 8 7 M6 26,2 34,2 2
0 110 14 70 81,5 10 7 M8x1 31,6 68,4 520 160 14 70 81,5 10 7 M8x1 58,4 97,1 420 192 14 70 81,5 10 7 M8x1 44,5 70,8 325 210 14 75 87,5 10 7 M8x1 59,7 87,6 325 210 16 85 97,5 10 8 M8x1 74,3 104,8 325 250 14 75 87,5 10 7 M8x1 39,6 54,3 225 250 16 85 97,5 10 8 M8x1 49,4 64,6 2
6 130 16 85 97,5 10 8 M8x1 40,8 105,5 66 185 16 85 97,5 10 8 M8x1 98,4 179,5 5
20 240 16 85 97,5 10 8 M8x1 80,0 140,8 425 250 16 92 105 10 8 M8x1 88,0 153,4 420 330 16 85 97,5 10 8 M8x1 79,5 141,2 425 330 16 92 105 10 8 M8x1 87,4 154,0 420 410 16 85 97,5 10 8 M8x1 78,8 141,0 425 410 16 92 105 10 8 M8x1 86,7 153,9 420 400 16 85 97,5 10 8 M8x1 59,7 102,5 325 400 16 92 105 10 8 M8x1 65,7 112,5 3
6 130 18 95 110 10 9 M8x1 44,5 132,1 66 210 18 95 110 10 9 M8x1 128,6 275,6 6
25 250 18 95 110 10 9 M8x1 88,9 179,1 425 350 20 100 117,5 10 10 M8x1 178,5 355,2 625 420 18 95 110 10 9 M8x1 88,0 178,1 425 430 20 100 117,5 10 10 M8x1 122,5 230,2 425 420 18 95 110 10 9 M8x1 66,9 129,7 325 420 20 100 117,5 10 10 M8x1 93,2 168,5 3
6 225 20 110 127,5 10 10 M8x1 115,8 321,3 66 225 20 113 130,5 10 10 M8x1 145,3 372,0 6
25 300 25 130 147,5 10 12,5 M8x1 207,8 406,1 425 350 25 130 147,5 10 12,5 M8x1 299,8 628,1 625 440 25 130 147,5 10 12,5 M8x1 206,7 407,9 425 480 25 130 147,5 10 12,5 M8x1 157,0 296,3 3
6 230 22 130 147,5 10 11 M8x1 126,3 401,9 66 230 22 133 150,5 10 11 M8x1 159,0 468,4 6
25 300 30 155 178,5 10 15 M8x1 230,0 510,1 425 380 30 155 178,5 10 15 M8x1 331,8 789,8 625 450 30 155 178,5 10 15 M8x1 229,2 512,6 425 235 25 155 178,5 10 12,5 M8x1 170,7 562,8 625 310 30 175 198,5 10 15 M8x1 248,6 619,6 425 390 30 175 198,5 10 15 M8x1 358,6 951,3 625 470 30 175 198,5 10 15 M8x1 248,0 616,9 425 320 40 215 245 10 20 M8x1 279,2 827,0 425 400 40 215 245 10 20 M8x1 402,9 1279,6 625 480 40 215 245 10 20 M8x1 278,8 830,6 4
®
Form A Form B Form C
Forms of flange
Nut dimensions table DpfM
DpfM
Form A Form B Form C
Forms of flange
Drilling diagram 1 Drilling diagram 2
Wiper
Lubrication connection
Locking device
50
®
EM Nut
Nut dimensions table EM
Dim
ensi
on
and
lead
Spin
dle-
Ø
h6B
all-
ØC
ore-
Ø
Spin
dle
D1
g6L 2
L 3L 4
L 6d
b P9
tC
dyn (
KN
)C
stat (
KN
)i
Cen
tr.Ø
Tota
l le
ngth
Gro
ove
dist
ance
Gro
ove
leng
thD
rinn
ing
dist
ance
Dri
ll.Ø
Gro
ove
wid
thG
roov
e de
pth
Rat
ing
Rat
ing
No.
of
revo
lutio
n16
x516
2,38
14,0
2845
1016
104
42,
410
,415
,24
16x1
016
2,38
14,0
2855
1016
104
42,
47,
911
,03
16x1
616
2,38
14,0
2860
1016
104
42,
45,
36,
92
20x5
203,
175
17,2
3652
1120
104
52,
920
,932
,15
20x1
020
3,17
517
,236
5511
2010
45
2,9
13,0
18,4
320
x20
203,
175
17,2
3665
1120
104
52,
98,
611
,62
25x5
243,
520
,940
6012
2010
45
2,9
25,9
42,5
525
x10
243,
520
,940
6012
2010
45
2,9
16,1
24,2
325
x20
243,
520
,940
7012
2010
45
2,9
10,8
15,2
225
x25
243,
520
,940
8012
2010
45
2,9
10,7
15,3
232
x530
3,5
26,9
5060
1320
104
52,
928
,653
,55
32x1
030
4,5
26,4
5080
2028
124
52,
941
,168
,05
32x1
030
6,35
25,0
5675
2028
124
52,
951
,875
,54
32x2
030
6,35
25,0
5695
2028
124
52,
939
,354
,83
32x3
230
6,35
25,0
5695
2028
124
52,
926
,234
,22
40x5
383,
534
,963
7015
2012
46
3,5
31,6
68,4
540
x10
386,
3533
,063
8825
2812
46
3,5
58,4
97,1
440
x20
386,
3533
,063
9025
2812
46
3,5
44,5
70,8
340
x20
388
31,3
7010
525
2812
46
3,5
59,7
87,6
340
x20
389,
5230
,375
105
2528
124
63,
574
,310
4,8
340
x40
388
31,3
7013
025
2812
46
3,5
39,6
54,3
21
1
(Lub
rication c
onnection)
Wip
er
51
®
40x4
038
9,52
30,3
7513
025
2812
46
3,5
49,4
64,6
250
x548
3,5
44,9
7590
2828
124
63,
540
,810
5,5
650
x10
487,
540
,875
9828
2812
46
3,5
98,4
179,
55
50x2
048
7,5
40,8
7512
528
2812
46
3,5
80,0
140,
84
50x2
048
841
,382
125
2828
124
63,
588
,015
3,4
450
x30
487,
540
,875
160
2828
124
63,
579
,514
1,2
450
x30
488
41,3
8216
028
2812
46
3,5
87,4
154,
04
50x4
048
7,5
40,8
7521
028
2812
46
3,5
78,8
141,
04
50x4
048
841
,382
210
2828
124
63,
586
,715
3,9
450
x50
487,
540
,875
200
2828
124
63,
559
,710
2,5
350
x50
488
41,3
8220
028
2812
46
3,5
65,7
112,
53
63x5
603,
556
,990
7028
2812
46
3,5
44,5
132,
16
63x1
060
7,5
52,8
9012
032
2812
46
3,5
128,
627
5,6
663
x20
607,
552
,890
125
4045
164
84,
188
,917
9,1
463
x20
609,
5252
,395
180
4045
164
84,
117
8,5
355,
26
63x4
060
7,5
52,8
9021
040
4516
48
4,1
88,0
178,
14
63x4
060
9,52
52,3
9521
040
4516
48
4,1
122,
523
0,2
463
x50
607,
552
,890
210
4045
164
84,
166
,912
9,7
363
x50
609,
5252
,395
210
4045
164
84,
193
,216
8,5
380
x10
806,
3575
,010
512
535
2814
46
3,5
115,
832
1,3
680
x10
807,
572
,810
812
535
2814
46
3,5
145,
337
2,0
680
x20
8012
,769
,512
515
040
4516
48
4,1
207,
840
6,1
480
x20
8012
,769
,512
519
040
4516
48
4,1
299,
862
8,1
680
x40
8012
,769
,512
522
040
4516
48
4,1
206,
740
7,9
480
x60
8012
,769
,512
524
040
4516
48
4,1
157,
029
6,3
310
0x10
100
6,35
95,0
125
125
4028
144
63,
512
6,3
401,
96
100x
10
100
7,5
92,8
128
125
4028
144
63,
515
9,0
468,
46
100x
2010
012
,789
,515
016
050
4516
410
4,7
230,
051
0,1
410
0x20
100
12,7
89,5
150
190
5045
164
104,
733
1,8
789,
86
100x
4010
012
,789
,515
023
050
4516
410
4,7
229,
251
2,6
412
0x10
120
7,5
112,
815
012
540
2814
48
4,1
170,
756
2,8
612
0x20
120
12,7
109,
517
016
050
5516
410
4,7
248,
661
9,6
412
0x20
120
12,7
109,
517
019
050
5516
410
4,7
358,
695
1,3
612
0x40
120
12,7
109,
517
024
050
5516
410
4,7
248,
061
6,9
416
0x20
160
12,7
149,
521
016
050
5516
410
4,7
279,
282
7,0
416
0x20
160
12,7
149,
521
019
050
5516
410
4,7
402,
912
79,6
616
0x40
160
12,7
149,
521
024
050
5516
410
4,7
278,
883
0,6
4
E
M
08.
04.2
008
Sam
e-co
nstr
uctio
n le
ft-ha
nded
thre
ads,
spe
cial
pitc
hes
and
doub
le-t
hrea
d ve
rsio
ns
are
avai
labl
e on
req
uest
.
Iden
tical
to v
ersi
ons
of p
revi
ous
cata
log
Yel
low
: spe
cial
dia
met
er D
1+3m
m d
ue to
thin
wal
ls.
Nut dimensions table EM
EM
(Lubrication connection)
Wiper
52
®
DpM Nut
Nut dimensions table DpM
Dim
ensi
ons
and
lead
Spin
dle-
Øh6
Bal
l-ØC
ore-
ØSp
indl
e
D1
g6L 2
L 3L 4
L 6d
b P9
tC
dyn (
KN
)C
stat (K
N)
i
Cen
tr.Ø
Tota
l le
ngth
Gro
ove
dist
ance
Gro
ove
leng
thD
rilli
ng
dist
ance
Dri
ll. Ø
Gro
ove
wid
thG
roov
e de
pth
Rat
ing
Rat
ing
No.
of
revo
lutio
n16
x516
2,38
14,0
2880
1016
104
42,
410
,415
,24
16x1
016
2,38
14,0
2811
010
1610
44
2,4
7,9
11,0
316
x16
162,
3814
,028
110
1016
104
42,
45,
36,
92
20x5
203,
175
17,2
3690
1120
104
52,
920
,932
,15
20x1
020
3,17
517
,236
105
1220
104
52,
913
,018
,43
20x2
020
3,17
517
,236
130
1220
104
52,
98,
611
,62
25x5
243,
520
,940
9012
2010
45
2,9
25,9
42,5
525
x10
243,
520
,940
105
1220
104
52,
916
,124
,23
25x2
024
3,5
20,9
4013
012
2010
45
2,9
10,8
15,2
225
x25
243,
520
,940
150
1220
104
52,
910
,715
,32
32x5
303,
526
,950
100
1320
104
52,
928
,653
,55
32x1
030
4,5
26,4
5014
020
2812
45
2,9
32,9
54,4
432
x10
306,
3525
,056
140
2028
124
63,
551
,875
,54
32x2
030
6,35
25,0
5618
020
2812
46
3,5
39,3
54,8
332
x32
306,
3525
,056
190
2028
124
63,
526
,234
,22
40x5
383,
534
,963
108
1520
124
63,
531
,668
,45
40x1
038
6,35
33,0
6315
025
2812
46
3,5
58,4
97,1
440
x20
386,
3533
,063
175
2528
124
63,
544
,570
,83
40x2
038
831
,375
200
2528
124
63,
559
,787
,63
40x2
038
9,52
30,3
7520
025
2812
46
3,5
74,3
104,
83
40x4
038
831
,370
240
2528
124
63,
539
,654
,32
(Lub
rication c
onnection)
Lockin
g d
evi
ce
Wip
er
53
®
40x4
038
9,52
30,3
7524
025
2812
46
3,5
49,4
64,6
250
x548
3,5
44,9
7515
025
2812
46
3,5
40,8
105,
56
50x1
048
7,5
40,8
7517
028
2812
46
3,5
98,4
179,
55
50x2
048
7,5
40,8
7523
028
2812
46
3,5
80,0
140,
84
50x2
048
841
,382
240
2828
124
63,
588
,015
3,4
450
x30
487,
540
,875
320
2828
124
63,
579
,514
1,2
450
x30
488
41,3
8232
028
2812
46
3,5
87,4
154,
04
50x4
048
7,5
40,8
7540
028
2812
46
3,5
78,8
141,
04
50x4
048
841
,382
400
2828
124
63,
586
,715
3,9
450
x50
487,
540
,875
390
2828
124
63,
559
,710
2,5
350
x50
488
41,3
8239
028
2812
46
3,5
65,7
112,
53
63x5
603,
556
,990
120
2828
124
63,
544
,513
2,1
663
x10
607,
552
,890
190
3228
124
63,
512
8,6
275,
66
63x2
060
7,5
52,8
9024
040
4516
48
4,1
88,9
179,
14
63x2
060
9,52
52,3
9533
040
4516
48
4,1
178,
535
5,2
663
x40
607,
552
,890
410
4045
164
84,
188
,017
8,1
463
x40
609,
5252
,395
420
4045
164
84,
112
2,5
230,
24
63x5
060
7,5
52,8
9040
040
4516
48
4,1
66,9
129,
73
63x5
060
9,52
52,3
9540
040
4516
48
4,1
93,2
168,
53
80x1
080
6,35
75,0
105
200
3528
144
63,
511
5,8
321,
36
80x1
080
7,5
72,8
108
200
3528
144
63,
514
5,3
372,
06
80x2
080
12,7
69,5
125
285
4045
164
84,
120
7,8
406,
14
80x2
080
12,7
69,5
125
330
4045
164
84,
129
9,8
628,
16
80x4
080
12,7
69,5
125
420
4045
164
84,
120
6,7
407,
94
80x6
080
12,7
69,5
125
460
4045
164
84,
115
7,0
296,
33
100x
1010
06,
3595
,012
521
040
2814
46
4,1
126,
340
1,9
610
0x10
100
7,5
92,8
128
210
4028
144
64,
115
9,0
468,
46
100x
2010
012
,789
,515
028
050
4516
410
4,7
230,
051
0,1
410
0x20
100
12,7
89,5
150
360
5045
164
104,
733
1,8
789,
86
100x
4010
012
,789
,515
043
050
4516
410
4,7
229,
251
2,6
412
0x10
120
7,5
112,
815
021
540
2814
48
4,1
170,
756
2,8
612
0x20
120
12,7
109,
517
029
050
5516
410
4,7
248,
661
9,6
412
0x20
120
12,7
109,
517
037
050
5516
410
4,7
358,
695
1,3
612
0x40
120
12,7
109,
517
045
050
5516
410
4,7
248,
061
6,9
416
0x20
160
12,7
149,
521
030
050
5516
410
4,7
279,
282
7,0
416
0x20
160
12,7
149,
521
038
050
5516
410
4,7
402,
912
79,6
616
0x40
160
12,7
149,
521
046
050
5516
410
4,7
278,
883
0,6
4
DpM
08.
04.2
008
Sa
me-
cons
truc
tion
left-
hand
ed th
read
s, s
peci
al p
itche
s an
d do
uble
-thr
ead
vers
ions
are
avai
labl
e on
req
uest
.
Iden
tical
to v
ersi
ons
of p
revi
ous
cata
log
Yel
low
: spe
cial
dia
met
er D
1+3m
m d
ue to
thin
wal
ls.
Nut dimensions table DpM
DpM
(Lubrication connection)
Locking device
Wiper
Nut dimensions table FG
Dim
ensi
ons
and
lead
Spin
dle-
Ø
h6Ba
ll-Ø
Cor
e-Ø
Sp
indl
e
D1
h7D
4N
o. o
f ho
les
D5
D6
L 2L 7
L 10L 11
Lubr
ic.
conn
ect.
MC
dyn (K
N)
Cst
at (K
N)
i
Cen
tr.
ØG
eom
e-tr
ical
ØD
rill.
-Ø
Flan
ge-Ø
Tota
l le
ngth
Flan
ge
wid
thTh
read
de
pth
Dis
tanc
e lu
bric
atio
nTr
ead
Ratin
gRa
ting
Revo
lu-
tions
16x5
163,
175
14,0
3245
46
6042
128
6M
6M
26x1
,511
,714
,63
20x5
203,
175
17,3
4055
47
7052
128
6M
6M
35x1
,517
,025
,34
20x1
020
4,5
16,4
4055
47
7065
128
6M
6M
35x1
,520
,526
,33
25x5
243,
520
,945
654
984
6015
87,
5M
6M
40x1
,525
,942
,55
25x1
024
3,5
20,9
4565
49
8460
128
6M
6M
40x1
,516
,124
,23
32x5
303,
526
,952
724
990
6015
87,
5M
6M
48x1
,528
,653
,55
32x1
030
6,35
25,0
5680
411
100
8015
87,
5M
6M
52x1
,551
,875
,54
40x5
383,
534
,965
904
1111
070
1810
9M
8x1
M60
x1,5
37,2
83,2
640
x10
386,
3533
,065
904
1111
088
1810
9M
8x1
M60
x1,5
58,4
97,1
440
x20
386,
3533
,065
904
1111
088
1810
9M
8x1
M60
x1,5
30,2
44,1
240
x30
386,
3533
,065
904
1111
010
018
109
M8x
1M
60x1
,529
,944
,72
50x1
048
7,5
40,8
8011
04
1413
510
020
1010
M8x
1M
75x1
,598
,417
9,5
550
x20
487,
540
,880
110
414
135
114
2010
10M
8x1
M75
x1,5
61,4
103,
23
63x1
060
7,5
52,8
9512
56
1415
012
020
1010
M8x
1M
90x1
,512
8,6
275,
66
63x2
060
853
,395
125
614
150
138
2010
10M
8x1
M90
x1,5
97,7
192,
54
63x4
060
853
,395
125
614
150
138
2010
10M
8x1
M90
x1,5
50,4
87,3
2
FG
08.
04.2
008
Sa
me-
cons
truc
tion
left-
hand
ed th
read
s, s
peci
al p
itche
s an
d do
uble
-thr
ead
vers
ions
a
re a
vaila
ble
on r
eque
st.
Id
entic
al to
ver
sion
s of
pre
viou
s ca
talo
g
54
®
bo
re fo
r lu
bricatio
n
Wip
er
Lub
rication c
onnection
h7
L7–0.5
55
®
Nut dimensions table MFM
Dim
ensi
ons
and
le
ad
Spin
dle-
Ø
h6Ba
ll-Ø
Cor
e-Ø
Sp
indl
e
D1g
6D
4N
o. o
f ho
les
D5
D6
L 1L 2
L 7W
L 10L 12
D7
Cdy
n (KN
)C
stat
(KN
) i
Cen
tr.
ØG
eo-
met
r. Ø
Dri
ll.-
ØFl
ange
-Ø
Fit
size
Tota
l le
ngth
Flan
ge
wid
thA
ngle
Thre
ad
dept
hne
ck
leng
thLu
bric
. co
nnec
t.Ra
ting
Ratin
gRe
volu
-tio
ns16
x10
162,
3814
,033
456x
60°
6,6
5810
4515
408
15M
67,
911
,03
16x1
616
2,38
14,0
3345
6x60
°6,
658
1055
1540
820
M6
5,3
6,9
220
x10
203,
175
17,2
3850
6x60
°6,
663
1064
2030
822
M6
16,9
25,1
420
x20
203,
175
17,2
3850
6x60
°6,
663
1064
2030
822
M6
8,6
11,6
225
x20
244,
520
,448
606x
60°
6,6
7316
9025
428
32,5
M6
22,3
31,3
325
x25
244,
520
,448
606x
60°
6,6
7316
8025
428
27,5
M6
15,0
19,9
232
x20
306,
3525
,056
686x
60°
6,6
8016
8820
308
34M
639
,354
,83
32x3
230
6,35
25,0
5668
6x60
°6,
680
1692
2030
836
M6
26,2
34,2
240
x20
386,
3533
,063
786x
60°
995
1688
2530
1031
,5M
8x1
44,5
70,8
340
x40
386,
3533
,072
906x
60°
1111
016
113
4041
1036
,5M
8x1
29,5
43,8
250
x20
489,
5240
,385
105
6x60
°11
125
1692
3030
1031
M8x
184
,813
1,2
350
x40
489,
5240
,385
105
6x60
°11
125
1611
330
3010
41,5
M8x
156
,781
,62
63x4
060
9,52
52,3
9511
86x
60°
1414
016
120
3020
1045
M8x
163
,810
4,6
263
x50
609,
5252
,395
118
6x60
°14
140
1614
030
2010
55M
8x1
63,3
103,
42
80x4
080
12,7
69,5
125
152
6x60
°18
180
1613
330
3010
51,5
M8x
110
7,6
187,
82
80x6
080
12,7
69,5
125
152
6x60
°18
180
1616
530
3010
67,5
M8x
110
6,6
185,
62
M
FM
0
4.04
.200
8
S
ame-
cons
truc
tion
left-
hand
ed th
read
s, s
peci
al p
itche
s an
d do
uble
-thr
ead
vers
ions
a
re a
vaila
ble
on r
eque
st.
Iden
tical
to v
ersi
ons
of p
revi
ous
cata
log
58
®
Miniature single nut
Any special leads and imperial threads can be provided on request.
For exact outside diameter of spindles see page 45
o = single nut D x P D D1 L L1 L2 L3 SW x = double nut Cdyn Cstat
h7 internally pre-loaded
KGT 6 x 1 15 M 10 x 1 35 5 6 5,5 14 o 600 N 900 N
KGT 8 x 1 20 M 14 x 1 40 8 6 5,5 17 o 700 N 1.300 N
KGT 8 x 2 20 M 14 x 1 40 8 6 5,5 17 o 900 N 1.500 N
KGT 10 x 2 25 M 18 x 1 50 10 8 5,5 22 o 1.500 N 2.900 N
KGT 12 x 2 24 M 18 x 1 42 10 10 6,5 22 x 2.500 N 3.200 N
KGT 12 x 3 26 M 18 x 1 46 10 10 6,5 24 x 4.000 N 4.900 N
KGT 12 x 4 26 M 18 x 1 50 10 10 6,5 24 x 4.000 N 4.900 N
KGT 12 x 5 26 M 18 x 1 54 10 10 6,5 24 x 4.000 N 4.900 N
KGT 12 x 8 26 M 18 x 1 46 10 10 6,5 24 o 4.000 N 4.900 N
59
®
Miniature single nut without flange
Any special leads and imperial threads can be provided on request.
For exact outside diameter of spindles see page 45
on request
d (lubrication connection)
Wiper
o = single nut D x P D1 g6 d L1 L3 L4 L6 bP9 t L5 i x = double nut Cdyn Cstat
internally pre-loaded
KGT 6 x 1 12 – 11 – – – – – – 2 o 600 N 900 N
KGT 8 x 1 14 – 13 – – – – – – 3 o 700 N 1.300 N
KGT 8 x 2 14 – 13 – – – – – – 2 o 900 N 1.500 N
KGT 10 x 2 18 – 19 – – – – – – 3 o 1.500 N 2.900 N
KGT 12 x 2 24 2 22 5,0 10 5 4 2,4 4 2 o 2.500 N 3.200 N
KGT 12 x 3 26 2 22 6,0 10 5 4 2,4 4 2 o 4.000 N 4.900 N
KGT 12 x 4 26 2 24 7,0 10 5 4 2,4 4 2 o 4.000 N 4.900 N
KGT 12 x 5 26 2 26 8,0 10 5 4 2,4 4 2 o 4.000 N 4.900 N
KGT 12 x 8 26 2 32 8,0 16 5 4 2,4 4 2 o 4.000 N 4.900 N
KGT 12 x 2 24 2 28 6,0 16 5 4 2,4 4 2/2 x 2.300 N 3.200 N
KGT 12 x 3 26 2 32 8,0 16 5 4 2,4 4 2/2 x 4.000 N 4.900 N
KGT 12 x 4 26 2 36 8,0 20 5 4 2,4 4 2/2 x 4.000 N 4.900 N
KGT 12 x 5 26 2 40 10,0 20 5 4 2,4 4 2/2 x 4.000 N 4.900 N
KGT 12 x 8 26 2 52 16,0 20 5 4 2,4 4 2/2 x 4.000 N 4.900 N
60
®
Miniature single nut with flange
Any special leads and imperial threads can be provided on request. *) = on request (special)
For exact outside diameter of spindles see page 45
Lubrication connection
Wiper
o = single nut D x P D1 g6 D4 D5 D6 L1 L2 L5 L7 L10 L11 Lub. i x = double nut Cdyn Cstat
conn. internally pre-loaded
KGT 6 x 1 12 18 3,3 24 11 15 – 4 – – *) 2 o 600 N 900 N
KGT 8 x 1 14 21 3,3 27 12 16 – 4 – – *) 3 o 700 N 1.300 N
KGT 8 x 2 14 21 3,3 27 12 16 – 4 – – *) 2 o 900 N 1.500 N
KGT 10 x 2 18 27 4,5 35 23 28 – 5 – – *) 3 o 1.500 N 2.900 N
KGT 12 x 2 24 31 4,5 38 7 25 4 8 7 4 M6 2 o 2.500 N 3.200 N
KGT 12 x 3 26 33 4,5 40 7 24 4 8 7 4 M6 2 o 4.000 N 4.900 N
KGT 12 x 4 26 33 4,5 40 7 26 4 8 7 4 M6 2 o 4.000 N 4.900 N
KGT 12 x 5 26 33 4,5 40 7 28 4 8 7 4 M6 2 o 4.000 N 4.900 N
KGT 12 x 8 26 33 4,5 40 7 34 4 8 7 4 M6 2 o 4.000 N 4.900 N
KGT 12 x 2 24 31 4,5 38 7 30 4 8 7 4 M6 2/2 x 2.500 N 3.200 N
KGT 12 x 3 26 33 4,5 40 7 34 4 8 7 4 M6 2/2 x 4.000 N 4.900 N
KGT 12 x 4 26 33 4,5 40 7 38 4 8 7 4 M6 2/2 x 4.000 N 4.900 N
KGT 12 x 5 26 33 4,5 40 7 42 4 8 7 4 M6 2/2 x 4.000 N 4.900 N
KGT 12 x 8 26 33 4,5 40 7 54 4 8 7 4 M6 2/2 x 4.000 N 4.900 N
62
®
Driven nut
D5
M
S
W°
D8
W°/
2
D7
D6
D3
D2
D1
L1
Lx
L3L2
L
N
D4
L4
S
We
reco
mm
end
lubr
icat
ion
with
oil/
air
mix
ture
(oil
mis
t).
The
nuts
req
uire
thre
e tim
es th
e lu
bric
atio
n qu
antit
y of
sta
ndar
d nu
ts.
The
conn
ectio
n is
pro
vide
d w
ith a
che
ck
valv
e to
avo
id r
etur
n of
the
lubr
ican
t. M
ore
info
rmat
ion
on r
eque
st.
Dim
ensi
on
KG
TLe
ad
max
.N
o. o
fre
volu
t.B
all-
Ø
Lim
it
spee
d (*
1)
Load
ra
ting
C
stat
. (K
N)
Load
ra
ting
C
dyn.
(KN
)
D1
g6D
2D
3 g6
D4-
0,2
D5±
0,2
D6
D7
D8±
0,2
DN
LL 1
L 2L 3
L 4M
W
KG
T 1
6x5
165
3,17
530
0025
1857
8030
5038
105,
568
4595
,510
4128
12,5
6xM
5/10
6x60
°
KG
T 2
0x5
205
3,17
530
0032
2060
8035
5543
105,
568
5210
8,5
1056
2812
6xM
5/10
6x60
°
KG
T 2
0x10
205
3,17
530
0032
2060
8035
5543
105,
568
5211
8,5
1066
2812
6xM
5/10
6x60
°
KG
T 2
5x5
256
3,5
3000
5130
7095
4365
5211
6,6
8258
119
1550
3513
6xM
6/13
6x60
°
KG
T 2
5x6
255
4,5
3000
5536
7095
4365
5211
6,6
8258
119
1550
3513
6xM
6/13
6x60
°
KG
T 3
2x5
106
3,5
3000
6533
7511
049
7560
159
9365
131,
515
67,5
3513
6xM
6/13
6x60
°
KG
T 3
2x6
205
4,5
3000
6940
7511
049
7560
159
9365
131,
515
67,5
3513
6xM
6/13
6x60
°
KG
T 3
2x10
324
6,35
3000
7551
8512
055
7863
159
100
7013
9,5
1568
4017
6xM
6/13
6x60
°
KG
T 4
0x5
406
3,5
3000
8337
9012
554
8568
159
105
7513
6,5
1561
4016
,56x
M8/
156x
60°
KG
T 4
0x10
406
6,35
3000
149
8495
130
6290
7315
911
080
155,
515
7940
166x
M8/
158x
45°
KG
T 4
0x20
404
9,52
3000
142
9710
514
073
105
8615
912
285
187
1510
345
20,5
8xM
8/15
8x45
°
KG
T 4
0x40
402
9,52
3000
6449
105
140
7310
586
159
122
8519
0,5
1510
6,5
4520
,58x
M8/
158x
45°
KG
T 5
0x5
106
3,5
3000
105
4010
514
065
100
8215
912
292
163,
515
7847
17,5
6xM
8/16
6x60
°
KG
T 5
0x10
505
7,5
3000
179
9812
015
572
110
9015
913
610
517
115
9247
17,5
6xM
8/16
8x45
°
KG
T 5
0x20
503
9,52
3000
131
8412
015
583
115
9515
913
610
519
2,5
1511
247
17,5
6xM
8/16
8x45
°
KG
T 6
3x10
605
6,35
3000
197
8712
017
085
115
9618
1114
510
518
3,5
1510
245
208x
M8/
15,5
8x45
°
KG
T 6
3x20
605
9,52
2450
291
151
140
190
9513
511
020
13,5
165
110
204,
515
112
5527
,58x
M8/
15,5
8x45
°
KG
T 8
0x20
606
12,7
2000
628
300
190
270
125
170
144
2617
,523
015
525
220
138
7035
8xM
10/2
0,5
12x3
0°
KG
T 10
0x20
100
612
,716
0079
033
122
030
013
520
016
633
2226
019
528
230
158
7028
,58x
M12
/23
8x45
°
KG
T 10
0x40
100
612
,716
0079
033
022
030
013
520
016
633
2226
019
540
030
276
7028
,58x
M12
/23
8x45
°
KG
T 12
0x20
100
612
,715
0095
135
825
033
017
022
519
033
2229
022
028
030
156
7028
8xM
16/2
312
x30°
(*1)
Spe
ed li
mit
due
to
We
reco
mm
end
the
use
of s
crew
s of
pro
poer
ty c
lass
10.
9 or
hig
her
nut o
r be
arin
g sp
ecifi
catio
nsw
ith o
il lu
bric
atio
n(g
reas
e lu
bric
atio
n -3
0 %
)
KMT nuts
Spiral spring covers
Lubrication – Lubricants
65
®
Spindle ends
66
®
Standard spindle ends
Bearing
ZARF/LTN
Lock nut
67
®
Needle axial cylinder roller bearings
Light duty range
Needle axial cylinder roller bearings
Shaft
diameter
Weight
kg
DimensionsFixing
screws
DIN 9121)
10.9 Qty
Ratings Limiting speed Axial
rigidity
cal
N/μm
ng
grease
rpm
ng
oil
rpm
Code
Shaft
diameter
Weight
kg
DimensionsFixing
screws
DIN 9121)
10.9 Qty
Ratings Limiting speed Axial
rigidity
cal
N/μm
ng
grease
rpm
ng
oil
rpm
Code
68
®
Standard spindle ends
Bearing
ZARN/TN
Lock nut
69
®
Needle axial cylinder roller bearings
Range ZARN Light duty range
Needle axial cylinder roller bearings
Range ZARN
Shaft
diameter
Weight
kg
Dimensions Ratings Limiting speedAxial
rigidity
cal
N/μm
ng
grease
rpm
ng
oil
rpm
Code
Sheft
diameter
Weight
kg
Dimensions Ratings Limiting speedAxial
rigidity
cal
N/μm
ng
greae
rpm
ng
oil
rpm
Code
70
®
Standard spindle ends
Rikula 2RS
Size
Bush
ø x ø x L4
Circlip
DIN 471
Circlip DIN 471
Bush
71
®
Standard spindle ends
Axial angular-contact ball bearings
Double-sided action
Weight
kg
Dimensions Fixing screws
DIN 912
10.9 Qty
RatingsConnection dimensions Axial
rigidity
cal
N/μm
Limiting
speed
ng grease
rpm
Code
Table of dimensions. Dimensions in mm
Bearing ZKLN/RS KMT Shaft Nuts
Shaft
diameter
72
®
Standard spindle ends
Axial angular-contact ball bearings
Double-sided action
Double-sided action, screw fixing
Shaft
diameter
Weight
kg
Dimensions Fixing screws
DIN 912
10.9 Qty
RatingConnection dimensions Axial
rigidity
cal
N/μm
Limiting
speed
ng grease
rpm
Code
Table of dimensions. Dimensions in mm
Bearing
ZKLF/2RS
Lock nut
Withdrawal slot
74
®
Shaft nut KMT
The KMT shaft nut secures without damaging the shaft
The KMT nut is secured with three brass locking pins dis-tributed equally around the circumference and which are set into the nut at an angle. The slope angle of the pins is equal to the flank angle of the nut thread, which is also cut into the end surfaces of the locking pins in one continuous process.
The KMT shaft nut does not need a keyway
As a result, the shaft diameter can be made smaller. Costs for the manufacture of the keyway and the key can be avoided.
The KMT shaft nut locking system does not suffer from material fatigue
The locking pins are pressed against the shaft thread with the help of adjusting screws.
Axial forces are absorbed by the flanks of the thread and not by the locking pins. Securing the nut against turning is based exclusively on the friction between the pins and the screw thread. As the locking pins do not become distorted, KMT shaft nuts can be used as often as required with the same high accuracy.
The KMT shaft nut locking system is reliable
Even when the generously sized adjusting screws are only gently tightened, a high locking force is achieved. The force applied by the adjusting screws is used exclusively for locking the nut, i.e.
The KMT shaft nut is adjustable
When securing the KMT nut, the three locking pins arranged equally around the circumference enable an exact right-angled adjustment to be made. Variations or inaccuracies of other components sitting on the shaft can be compensated for by means of the KMT nut.
FA = axial force
Shaft nut
KMT/KMTA
Code
Permissible
axial load
FA
KMT/KMTA
Breakaway
torque1)
KMT/KMTA
Tightening torque
for adjusting
screws, max.
KMT
1) Applies for adjusting screws tightened to max. tight en ing torque.
Surface treatment: phosphatised, oiledLocking pins: hard drawn brassAdjusting screws: P6SS (ISO 2343/DIN 913), hardness class 12.9 – 14.9
Tolerance 6G is recommended for the shaft thread
75
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Shaft nuts KMT – Data
Slotted nuts
KMT nuts are to be used where simple fitting and reliable locking with high accuracy are required. They can be tightened and releas ed using simple tools such as open-ended spanners, adjustable spanners, hooked spanners or impact spanners.
Shaft nut
thread
G
Code Dimensions Weight Suitable hook
spanner
Code
Table of dimensions. Dimensions in mm
Thread
d
Code Weight
kg
Dimensions Axial break ing
load FaB
76
®
Spiral spring covers
con ta mination and damage and reduce the risk of accident in this area.
ma chines, etc.
have optimum characteristics due to their special method of manufacture.
in the diameters and installation lengths shown below. Different strip widths guarantee faultless operation for the different stroke lengths.
in any position. Simple centring flanges are all that are required for mounting the springs, as shown adjacent. The flanges must however accomodate the rotary move-ments of the spring that occur. The centring flanges are not included in the scope of supply.
When installing vertically, it is recommended that the large diameter is fitted at the top and when installing horizontally it is fitted towards the accumulation of swarf.
ed that cleaning be carried out depending upon the degree of contamination and that a light film of oil be subsequently applied.
be fitted horizontally or vertically. When fitted horizon-tally, the dimension Da is increased by ca. 3–5 mm.
machines and also increase their life.
Design: spring steel, blued, stainless on request.
Explanation of drawing:
d = max. diameter of the part to be covered D1 = inside diameter of spring Da = outside diameter of spring Lmin. = minimum installation length Lmax. = maximum installation length
1 = outside diameter of the centring flange (D1 – 2 mm)
2 = inside diameter of the centring flange (Da + 4 mm)
Stroke = largest possible travel
All dimensions in mm
As ball screws are sensitive to dirt and swarf, they must fundamentally be protected by sealed covers such as bellows or telescopic springs.
Can be fitted horizontally and vertically
Spiral spring
cover
for KGT-Type
77
®
All dimensions in mm
Type Type
78
®
Lubrication of ball screws Basically, the same lubricants can be used for lubricating
ball screws as for anti-friction bearings, i.e. both oil and grease.
In contrast to anti-friction bearings, the maximum oper - ating temperature is of far more importance with ball screws, as it affects the accuracy of the ball screw due to the longitudinal expansion along its axis. A single filling of grease for the ball screw as a lifelong lubrication is not generally adequate, as grease is continually re moved due to the spindle shaft repeatedly moving in and out of the lubricated area and thus damage could occur within a foreseeable time due to lack of lubrica tion. If grease nipples are specified for re-lubrication purposes, damage may also be expected if the maint enance intervals are not observed or if the ball screw is over greased.
As central lubrication systems are available in many installations, oil lubrication predominates with ball screws.
Oil lubrication
Oil lubrication by means of a central lubrication system has the advantage that it is always possible for an adequate film of lubricant to build up and for low heat ing of the ball screw to occur due to the improved heat transfer. Further-more any excess oil is removed by the wiper.
Basically, circulating oils with active ingredients for in-creasing the corrosion protection and the ageing resis t ance in accordance with C-L to DIN 51517 Part 2, as are also used for lubricating anti-friction bearings, are suitable for supplying ball screws. The viscosity of the lubricant to be used depends primarily on the speed and the ambient temperature as well as the loading. In order to guarantee an adequate film of lubricant at all times and under all operating conditions, a somewhat higher viscosity of lubricant should be aimed for. In most cases it is sufficient to select the lubricant in accord ance with the following table.
If the ball screw speeds are less than 20 rpm and/or high loading is to be expected, it is recommended that a circulating oil with active ingredients to increase the ageing resistance of the corrosion protection as well as additives for increasing the loading capability and improv-ing the protection against wear in accordance with C-LP to DIN 51517 Part 3 is used.
The amount of oil required for each ball revolution is about 3-6 cm3/h. With immersed lubrication, it is sufficient if the oil level is maintained at the centre of the lowest roller when installed horizontally.
Grease lubrication
Lubrication of ball screws with grease suggests itself when it is not possible to install central lubrication systems and low speeds are to be expected. Further advantages are the improved sealing effect, the avoid-ance of running dry and the independence from the installation orientation. The re-lubrication intervals are to be agreed with Kammerer for each application in order to avoid damage due to lack of lubrication.
Lubricating greases are divided into NLGI classes ac-cording to DIN 51818 corresponding to their flexing penetration. In normal cases (operating temperature –20 °C to +120 °C), class K2k water resistant greases to DIN 51825 are to be used for ball screws. In special cases, greases to NLGI 1 (for very high speeds) or NLGI 3 (for highest loads or low speeds) are possible.
The mixing of greases based on different saponifica-tions should be avoided. Consultation with the manu-facturer is necessary if the operating temperatures lie above or below the given values.
The amount of grease to be applied is such that the cavities are approximately half filled. In order to avoid unnecessary overheating of the ball screw due to over greasing, it must be ensured that the design enables used or excess grease to escape.
79
®
Viscosity
ISO
No ISO
norms
Aralub HL 2, LF 2 multi-purpose grease Avia multi-purpose grease
Avilub special grease EP
Avilub special grease A
No ISO
norms
No ISO
norms
Designation
DIN 51 517
Viscosity
ISO
Designation
DIN 51 517
Viscosity
ISO
Designation
DIN 51 517
Lubricants
80
®
Trapezoidal screws
Application examples
Example 1:
The co-ordinate table shown in section is integrated within a numerically controlled processing centre for rough milling operations.
The co-ordinate table is positioned using the trapezoidal screw. It has a clamping area of 1600 mm x 550 mm and can be traversed in the X-direction by up to 900 mm.
Due to the high traverse speed, a particularly rigid bearing arrangement is required for the spindle of the trapezoidal screw.
to use ball screws.
Design solution
The trapezoidal spindle is mounted in a needle axial
support for the bearing at the other end of the spindle in spite of the small spindle shoulder. Both bearings can be bolted directly to the surrounding construction so that adaptation work and additional flange covers are not required. Sealing of the bearing po sitions is not necessary here, as the lubricant is allowed to escape.
Example 2:
Co-ordinate table
Lift table system Problem: Lifting of machine parts
Solution: The trapezoidal spindle is adjusted by means of an electric motor. The design gives a progressive force characteristic and does not require a stopping brake.
81
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Example 3:
Entrance gate opener
Example 4:
Ventilation flap
Opening and closing a skylight or ventilation flap.
The gearing with drive and fittings is mount ed using a cardan adapter.
The end points (fully open and fully closed) are restricted using limit switches.
Example 5:
Linear stroke gearbox
The lifting spindle travels through the linear stroke gearbox without rotating.
When using a single linear stroke gearbox, measures should be taken to prevent the spindle from turning.
Problem: electrically actuated entrance gate
Solution: Trapezoidal screw with electric motor and stroke limiter. The spindle is covered to avoid risk of injury and contamination (bellows).
82
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Trapezoidal screw spindles
Sold by the metre, spun
Ordering example: Screw spindle Tr70 x 10 x 2m long, left-hand lead, spun GK2
Thre
ad
Thread
Quality classes to Kammerer norm
Other accuracies possible on request.
Quality classes
Lead variation
Straightness
Outside ø tolerance
Trapezoidal thread to DIN 103, tolerance class 7eStandard lengths are 1m, 1.5m, 2m, 3mOther lengths possible on requestThe adjacent materials are available from us as standard Other materials and tolerances on requestTwo quality classes available (see table below)All sizes can also be supplied as left-hand thread
83
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Trapezoidal screw spindles
Sold by the metre, rolled
Trapezoidal thread to DIN 103, tolerance class 7eStandard lengths are 1m, 1.5m, 2m, 3mOther lengths possible on requestMaterial: C15 Other materials and tolerances on requestTwo quality classes available (see table below)
Ordering example: Screw spindle Tr20 x 4 x 2m long, right-hand lead, rolled GK1
Thre
ad
Quality classes to Kammerer norm
Other accuracies possible on request.
Quality classes
Lead variation
Straightness
Flaking
not permissible permissible
–
Thread Right Left
Tr 8 x 1,5 X X
Tr 10 x 2 X X
Tr 10 x 3 X X
Tr 12 x 2 X X
Tr 12 x 3 X X
Tr 14 x 3 X X
Tr 14 x 4 X X
Tr 16 x 4 X X
Tr 18 x 4 X X
Tr 20 x 4 X X
Tr 22 x 5 X X
Tr 24 x 5 X X
Gewinde Rechts Links Thread Right Left
Tr 26 x 5 X X
Tr 28 x 5 X X
Tr 30 x 6 X X
Tr 32 x 6 X X
Tr 36 x 6 X X
Tr 40 x 7 X X
Tr 44 x 7 X X
Tr 50 x 8 X X
Tr 52 x 8 X X
Tr 60 x 9 X
84
®
Rolled screw spindles
The rolling of threads is an economic manufacturing process. Based on swarfless cold deforma tion, it has a positive affect on the characteristics of the base material.
The natural course of the grain is not destroyed unlike with machine manufacturing processes (e.g. thread spinning, thread cutting, thread milling or thread grinding).
Thread rolling has a positive affect on the following physical and technical characteristics:
bending strength
of the thread
quality of the rolling tool
accurate pre-material tolerances
Plastic nuts are particularly well suited to rolled threads. The efficiency of the spindle drive is higher due to the high surface quality of the flanks of the rolled thread and the low friction of plastics.
According to DIN 103, the core diameter of rolled trapezoidal screws can be 0.15 x P less than with machined trapezoidal screws (flow radius required on the thread-rolling tool).
Rolled threads can display the so-called closing fold (undercut) on the outside diameter of the thread. This has no effect on the quality or the function of the thread. The undercut is only a criterion for making a judgement of the roll technology.
The disadvantages of rolled compared with spun trapezoidal screws:
the accuracy of the lead (changes with each batch of material)
diameter of the thread cannot be rolled or can only be rolled at great expense.
flanks of the thread can lead to a detachment of the lubricant film between the spindle and the nut and thus to “a tendency to seize” when grease lubrica-tion is required (e.g. with steel or bronze nuts).
-ponents and small production runs, as the affect on the thread rolling process (machine and tooling) is cost and parts-intensive.
85
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Trapezoidal screw nuts
Round nut, short or long
Max. runout error up to Tr 22x5 = 0.2 mm; from Tr24x5 = 0.3 mmThese nuts are provided in the adjacent materialsOther materials and tolerances on requestShort design: L = 1.5 x nominal diameter Long design: L = 2 x nominal diameter
Ordering example: Round nut Tr 44x7, left-hand, made from CuSn12, short, in accordance with Kammerer catalogue
Thread D1 L
Tr 8 x 1,5 18 12
Tr 10 x 2 22 15
Tr 10 x 3 22 15
Tr 12 x 3 26 18
Tr 14 x 4 30 21
Tr 16 x 4 36 24
Tr 18 x 4 45 27
Tr 20 x 4 45 30
Tr 22 x 5 50 33
Tr 24 x 5 50 36
Tr 26 x 5 60 39
Tr 28 x 5 60 42
Tr 30 x 6 60 45
Tr 32 x 6 60 48
Tr 36 x 6 75 54
Tr 40 x 7 80 60
Tr 44 x 7 80 66
Tr 48 x 8 90 72
Tr 50 x 8 90 75
Tr 60 x 9 100 90
Tr 70 x 10 110 105
Tr 80 x 10 120 120
Tr 90 x 12 130 135
Short design
Thread D1 L
Tr 8 x 1,5 18 16
Tr 10 x 2 22 20
Tr 10 x 3 22 20
Tr 12 x 3 26 24
Tr 14 x 4 30 28
Tr 16 x 4 36 32
Tr 18 x 4 45 36
Tr 20 x 4 45 40
Tr 22 x 5 50 44
Tr 24 x 5 50 48
Tr 26 x 5 60 52
Tr 28 x 5 60 56
Tr 30 x 6 60 60
Tr 32 x 6 60 64
Tr 36 x 6 75 72
Tr 40 x 7 80 80
Tr 44 x 7 80 88
Tr 48 x 8 90 96
Tr 50 x 8 90 100
Tr 60 x 9 100 120
Tr 70 x 10 110 140
Tr 80 x 10 120 160
Tr 90 x 12 130 180
Long design
Plastic
86
®
Trapezoidal screw nuts
Flanged nut, short or long
Max. runout error up to Tr 22x5 = 0.2 mm; from Tr24x5 = 0.3 mmThese nuts are provided in the adjacent materialsOther materials and tolerances on requestTwo designs (long or short), with or without fixing holes
Ordering example: Flanged nut Tr 20x4, right-hand, made from RG7, short, in accordance with Kammerer catalogue
Thread D1 D4 D5 D6 L (short) L (long) L1 L7
Tr 8 x 1,5 22 32 4 40 12 16 4 8
Tr 10 x 2 25 34 5 42 15 20 5 10
Tr 10 x 3 25 34 5 42 15 20 5 10
Tr 12 x 3 28 38 6 48 18 24 6 12
Tr 14 x 4 28 38 6 48 21 28 9 12
Tr 16 x 4 28 38 6 48 24 32 12 12
Tr 18 x 4 28 38 6 48 27 36 15 12
Tr 20 x 4 32 45 7 55 30 40 8 12
Tr 22 x 5 32 45 7 55 33 44 8 12
Tr 24 x 5 32 45 7 55 36 48 8 12
Tr 26 x 5 38 50 7 62 39 52 8 14
Tr 28 x 5 38 50 7 62 42 56 8 14
Tr 30 x 6 38 50 7 62 45 60 8 14
Tr 32 x 6 45 58 7 70 48 64 10 16
Tr 36 x 6 45 58 7 70 54 72 10 16
Tr 40 x 7 63 78 9 95 60 80 12 16
Tr 44 x 7 63 78 9 95 66 88 12 16
Tr 48 x 8 72 90 11 110 72 96 14 18
Tr 50 x 8 72 90 11 110 75 100 14 18
Tr 60 x 9 88 110 13 130 90 120 16 20
Tr 70 x 10 88 110 13 130 105 140 16 20
Tr 80 x 10 118 140 15 163 120 160 18 22
Tr 90 x 12 118 140 15 163 135 180 18 22
Plastic
87
®
Trapezoidal screw nuts
Hexagonal nut
Not suitable for motion screwsMaterial: 9SMn28KOther materials and tolerances on request
Ordering example: Hexagonal nut Tr 10x3, right-hand, in accordance with Kammerer catalogue
Thread SW L
Tr 28 x 5 41 42
Tr 30 x 6 46 45
Tr 32 x 6 46 48
Tr 36 x 6 55 54
Tr 40 x 7 65 60
Tr 44 x 7 65 66
Tr 48 x 8 75 72
Tr 50 x 8 75 75
Tr 60 x 9 90 90
Tr 70 x 10 90 105
Thread SW L
Tr 8 x 1,5 14 12
Tr 10 x 2 17 15
Tr 10 x 3 17 15
Tr 12 x 3 19 18
Tr 14 x 4 22 21
Tr 16 x 4 27 24
Tr 18 x 4 27 27
Tr 20 x 4 30 30
Tr 22 x 5 32 33
Tr 24 x 5 36 36
Tr 26 x 5 41 39
88
®
Technical data
Metric ISO trapezoidal thread to DIN 103
Nominal Ø . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .d
Lead for single start threads and
Pitch for multi-start threads . . . . . . . . . . . . . . . . . P
Lead for multi-start threads . . . . . . . . . . . . . . . . . . . . Ph
Number of starts . . . . . . . . . . . . . . . . . . . . . . . n = Ph : P
Core Ø of bolt thread . . . . . . . . . . . . . d3 = d – (P+2 · a
c)
Outside Ø of nut thread . . . . . . . . . . . . . . D4 = d + 2 · a
c
Core Ø of nut thread . . . . . . . . . . . . . . . . . . .D1 = d – P
Thread flank Ø . . . . . . . . . . . . . . . . d2 = D
2 = d – 0,5 · P
Depth of bolt
and nut threads . . . . . . . . . . . . .h3 = H
4 = 0,5 · P + a
c
Flank overlap . . . . . . . . . . . . . . . . . . . . . . . .H1 = 0,5 · P
Height of tooth tip . . . . . . . . . . . . . . . . . . . z = 0,25 · P
Tip clearance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ac
Rounding . . . . . . . . . . . . . . . . . . . . . . . . . . . . R1 and R
2
Three chisel width . . . . . . . . . . . b = 0,366 · P – 0,54 · ac
Flank angle . . . . . . . . . . . . . . . . . . . . . . . . . . . . = 30°
Dim. For lead P in mm
Thread
desig nation
D x P
Nut thread
Bolt thread Flank ø
d2 = D
2
Thread dimensions in mm
Core ø
Bolt
d3
Nut
D1
Outside
ø
D4
Thread
depth
h3 = H
4
Ph Lead: Distance along the line of the flank diameter be tween adjacent flanks of the same orientation of the same thread.
P Pitch: Distance along the line of the flank diameter be tween adjacent flanks of the same orientation.
Multi-start (n-start) threads have the same profile as single-start threads where the lead Ph = the pitch P.
Only the permissible values for the lead P (equal to the pitch P) of the single-start thread may be selected for the pitch P of the multi-start thread. A multiple of the pitch P of the multi-start thread does not however have to correspond to a permissible lead value for a single-start thread.
Single and multi-start threads
single-start
Pit
ch =
Lea
d
Pit
ch
Lead
= 2
. P
itch
Pit
ch
Lead
= 3
. P
itch
two-start three-start
89
®
Thread diameters and leads
Dimensions in mm
Lead P of the single-start trapezoidal threadNominal thread diameter d
Series Series Series
1 2 3
The size of thread can be chosen from the thread and lead table.
chosen diameter = 40 mm,Preferred range = 7 mm,Designation = Tr 40x7
A maximum of only three leads is recommended for each thread diameter. One of these is iden-tified as the preferred lead in order to restrict the number of trapezoidal threads to be used still further. If, in special cases, other diameters are required in place of those listed, a lead should be chosen that is associ-ated with the nearest diameter.
Permissible sliding speeds (guide values):
Material CuSn and CuAl alloy/steel Cast iron GS, GTW Sliding speed in m/s permissible surface compression in N/mm2
referred to flank Ø
0,1 19,3 5,8 9,7 0,2 18,6 5,6 9,3 0,3 18,0 5,4 9,0 0,4 17,3 5,2 8,7 0,5 16,6 5,0 8,3
0,6 16,0 4,8 8,0 0,7 15,3 4,6 7,7 0,8 14,6 4,4 7,3 0,9 14,0 4,2 7,0 1,0 13,3 4,0 6,7
1,1 12,6 3,8 6,3 1,2 12,0 3,6 6,0 1,3 11,3 3,4 5,7 1,4 10,6 3,2 5,3 1,5 10,0 3,0 5,0
1,6 9,3 2,8 4,7 1,7 8,6 2,6 4,3 1,8 8,0 2,4 4,0 1,9 7,3 2,2 3,7 2,0 6,6 2,0 3,3
2,1 6,0 1,8 3,0 2,2 5,3 1,6 2,7 2,3 4,6 1,4 2,3 2,4 4,0 1,2 2,0 2,5 3,3 1,0 1,7
2,6 2,6 0,8 1,3 2,7 2,0 0,6 1,0 2,8 1,3 0,4 0,7 2,9 0,6 0,2 0,3
90
®
Max. loading of trapezoidal screws referred to the nut length
Based on a surface compression of 10 N/mm2
Length of nut F in N/dyn Length of nut
91
®
Efficiency of trapezoidal screws
Single-start Two-start
cast iron
dry
cast iron
lubricated
CuSn, CuZn
dry
CuSn, CuZn
lubricated
plastic
dry
cast iron
dry
cast iron
lubricated
CuSn, CuZn
dry
CuSn, CuZn
lubricated
plastic
dry
plastic
lubricated
plastic
lubricated
The efficiency of trapezoidal spindles is significantly less than that of ball screw spindles due to the sliding friction.
and less expensive. A holding device (e.g. brake) is only required in rare cases due to the self-braking action of the trapezoidal screw spindle.
ball screw
Lead angle in degrees
Effic
iency
in %
conventional trapezoidal spindle
92
®
Critical bending speed – Diagram
Unsupported spindle length L [103 mm]
Critical b
end
ing
sp
eed
ncr [
rpm
]
Note max. sliding speed at the flanks, see Page 94.
93
®
Buckling – diagram
Unsupported spindle length L [103 mm]
Bucklin
g fo
rce F
kn [kN
]
-ling factor), see Page 94 onwards. Characteristic diameter for trapezoidal spindles is to be taken into account, see Page 88.
94
®
Calculations
Carrying capacity: The ratings of trapezoidal screws are influenced by many factors. The most important factors are material pairings,
surface quality, surface compression, duty, lubrication and temperature. Select a screw according to your requirements (required feed speed, fitting space, etc.) and calculate the necessary
length of nut for your application.
Arithmetical determination of the nut lengthLm = nut length required [mm]
P = thread lead [mm]pzul. = permissible surface compression [N/mm2]d2 = flank diameter [mm]
1 = thread bearing depth [mm] (0.5 x P)z = number of starts
Pvorh. = existing surface compression [N/mm2]
P = thread lead [mm]Lm = nut length required [mm]d2 = flank diameter [mm]
1 = thread bearing depth [mm] (0.5 x P)z = number of starts
vg = sliding speed [m/s]n = rotational speed [rpm]d2 = flank diameter [mm]
s = feed speed [m/min]n = rotational speed [rpm]P = lead [mm]
The permissible surface compression is dependent upon the sliding speed and the material used for the nut. A value of 10 N/mm2 can be taken as a rough estimate. Approximate values for common materials can be found in the table below.
Existing surface compression depending on nut selected
Sliding speed
Screw feed speed
Approximate values for the permissible surface compression for sliding screws. Exact particulars can be requested from the material manufactur ers.
Material: Sliding speed pzul.
[m/s] N/mm2
Steel 1,5 10
CuSn alloy 1,5 10
CuAl alloy 1,5 10
Plastic PA 0,6 1
95
®
Calculations
Drive torque
Mta = drive torque [Nm] when converting a rotary to a linear movement
Mte = drive torque [Nm] when converting a linear to a rotary movement
P = thread lead [mm] = efficiency’ = efficiency
= efficiency (torque to linear force)’ = efficiency (linear force to torque) = lead angle [°] = friction angle [°]
= lead angle [°]P = thread lead [mm]d2 = flank diameter [mm]
= friction angle [°]μG = see table below
Pa = drive power [kW]Mta = drive torque [Nm]n = rotational speed [rpm]
These values can be affected by lubrication, roughness, loading, etc.
Efficiency
Lead angle
Drive power
The thread is self-locking if pitch angle < friction angle
Nut made from μG
dry lubricated
Cast iron GC 0,18 0,1
Steel 0,15 0,1
Bronze CuSn 0,1 0,05
Plastic 0,1 0,05
96
®
Calculations
Critical bending speed
Permissible speed
fkb
= 0,32 (case 1)
Correction factor fk for calculating the permissible speed.
fkb
= 1,0 (case 2)
fkb
= 1,55 (case 3) fkb
= 2,24 (case 4)
The critical bending speed is dependent upon the deflection of the spindle and thus upon the diameter and the distance between the bearings. The permissible speed can now be calculated from the way in which the spindle is mounted and from a safety factor.
ncr = critical speed due to weight and length of spindle [rpm]
d2 = flank diameter of thread [mm]
la = distance between bearings [mm]
nzul. = permissible speed [rpm]ncr = critical speed due to weight and length
of spindle [rpm]fkb = correction factor for deflection0.8 = safety factor
97
®
Calculations
Calculating the buckling force
The buckling force of the screw spindle is dependent upon the unsupported spindle length and the core diameter of the spindle.
Kn = buckling force for the spindle [N]d3 = spindle core diameter [mm]fk = correction factor for type of mountingLK = unsupported spindle length [mm]
fk = 0,25 (case 1) f
k = 1,0 (case 2)
fk = 2,0 (case 3) f
k = 4,0 (case 4)
Correction factor fk for taking into account the type of mounting.
®
104
®
Questionnaire Part 1
Customer: Customer No: Address: Telephone: Telex: Department: Contact: New design: Re-design: Enquiry dated: Order dated::
Order confirmation dated: Order No: Customer drawing No: dated: No: dated: No: dated: Standard spindle, type: Quantity Call-off of: items monthly, yearly per order, or
We would ask you to provide us with as many technical details as possible. Our offer can then be worked out more carefully and appropriately for the application. If possible, please attach an installation drawing or draft sketch of the ball screw to this request.
Comments (or sketch)
1. Operating data 1.1 Drive via spindle shaft nut
a) Tension: N, Compression: N 1.3 Dynamic max. loading: Tension: N, Compression: N
r = p = N, r = mm
1.5 Safety factor in the loading figures: 1.6 Loading direction: single-sided two-sided 1.7 Speed at the stated loads: v = mm/min, n = rpm 1.8 Max. speed: nmax = rpm 1.9 If the loads or speeds should vary, please provide details in the table below.
Collective load
ball screw duty (h) 1.10 Utilisation factor: fn = machine duty
Type of load (N) (rpm) (mm/min) (mm) (%)
105
®
Questionnaire Part 2
1.11 Spindle mounting
1.12 Distance between bearings: mm 1.13 Installation orientation: vertical horizontal at an angle of degrees 1.14 Max. permissible play: mm 1.15 Required rigidity: N/μm 1.16 Permissible no-load torque: Nm 1.17 Required life: operating hours, x 106 revolutions
2.0 Operating conditions 2.1 Dust/dirt Moisture influence of chemicals 2.2 Seal type: Bellows Telescopic spring Plastic wiper Felt wiper 2.3 Operating temperature: °C, Ambient temperature °C 2.4 Type of lubrication: 2.5 Unusual operating conditions:
3.0 Characteristic data of spindle 3.1 Required nominal diameter ø A: mm 3.2 Lead P: mm 3.3 Lead direction: right-hand left-hand 3.4 Permissible lead variation Δp/300 mm at 20 °C μm 3.5 Δp/thread length at 20 °C mm 3.6 Permissible lead variation according to drawing No: 3.7 Actual lead variation diagram required: 3.8 Max. wobble error: mm 3.9 Thread length: mm 3.10 Total length: mm 3.11 Spindle in tension Compression pre-loaded at Fv = N 3.12 Material: to ISO, DIN: 3.13 Material No: Quality norm: 3.14 Surface treatment: 3.15 Hardness: Depth of hardening zone: 3.16 Ball screw surface: Roughness class: Reference roughness value Ra: μm 3.17 Accuracy class:
4.0 Characteristic data of nut 4.1 Max. length: mm 4.2 Max. diameter: mm 4.3 Housing to drawing No: 4.4 Single nut max. axial play 4.5 Double nut: Type of construction: pre-loaded at Fv = N 4.6 Max. axial displacement δa = μm at Fva = N 4.7 Max. reversal span δu = μm at Fva = N 4.8 Material: to ISO, DIN: 4.9 Material No: Quality norm: 4.10 Surface treatment: 4.11 Hardness: Depth of hardening zone: 4.12 Ball screw surface: 4.13 Accuracy class:
Checked and approved (customer) Checked (Kammerer)
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ERIKS Aandrijftechniek bv- (Elmeq)Broeikweg 25NL 2871 RM Schoonhoven
Phone: 0031-182/303462Fax: 0031-182/386920
E-mail: [email protected]: www.eriks-aandrijftechniek.nl
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