Kammerer catalogue

Transcription

Kammerer catalogue

®
Contents
Page
What we make
Product overview
Quality Assurance
Quality Assurance – General
What is checked? – Reports
Dynamic torque protocol
Pitch measurement log (ball thread)
Thread profile protocol
DIN 69051 – Extracts
Quality Assurance in the manufacturing process
6
9
10
11
13
15
21
Ball screws:
Application examples
22
– rolled
Technology, Efficiency
Wipers, KGT mounting
Track profile, Axial play with a single nut,
Ball feedback systems
Pre-loading the nut
Pre-loading the spindle, Rigidity
Rigidity diagram
Average load and speed,
Drive torque and Drive power
Calculation DIN 69051
Values for stretching ball screws
Efficiency, Lifetime
Lifetime diagram
Speed limits
Critical bending speed
Critical bending speed diagram
Buckling
Buckling diagram
Leads – Overview
Nut dimensions tables
Miniature nut dimensions tables
Driven nut
Spindle ends with bearings
Shaft nuts KMT
Spiral spring covers
Lubrication
27
28
37
38
40
41
42
43
44
45
47
58
62
66
74
76
78
80
– turned
– ground
Trapezoidal screws:
Trapezoidal screw spindles (dimensions)
Trapezoidal screw nuts (dimensions)
Technical data
Thread diameters and leads
Maximum loading
Efficiency
Critical bending speed/Buckling calculation
Mathematical calculations
A look at the factory
Questionnaire
4
29
30
31
33
34
35
82
85
88
89
90
91
92/93
94
100
104
3
®
What we
manufacture
Ball screws
Sliding threaded
Ball screws
screws
s In rolled, finely peeled and ground design
s Pitch precision IT 1, IT 3, IT 5, IT 7, IT 10
s Spindle length up to 7000 mm depending on production
technology selected, by request even longer
s Spindle threading righthanded and lefthanded even
on the same spindle
s Every custom pitch available according to customer request
s Large scale manufacturing also possible for the
automobile industry, for example
Rolled shafts
also in big volumes
for the automotive industry
Planetary roller screws
Worms and worm shafts
Subassemblies
The most modern measurement technology
s Modern inspection machines developed especially
for the measurement of ball and trapezoidal thread
spindles ensure consistent quality of each ball and
trapezoidal screw that leaves the factory
s Measurement technology available especially for
verifying profile accuracy
s Measurement precision, form and position tolerances
are ensured by the controlling and documentation
during the production process
s Measurement reports concerning pitch accuracy
torque and rigidity can be produced upon request
Technical consultation
s All calculations related to our products are provided
by our experienced technicians to support you in
your special application, in order to assist you in
making the optimal screw selection.
4
New ball deflection system with optimized friction
s Own 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 result
s Dimensions according to DIN 69051 enable replacement
even after several years
s Individual nuts, cylindrical and with flange, as well as
backlash-free nut combinations (pre-tensioning according
to customer requirement) are available
Planetary roller screws
according to drawing on request
s
s
s
s
Advantages:
Very high rotating speed (up to 6000 rpm)
Very long service life
Very high rigidity
High dynamic capacity
®
Worms and worm shafts
Worms and worm shafts (single and multiple start) are
manufactured from module 2—12 and up to an outside
diameter of 160 mm.
Threaded spindles and nuts
We manufacture spindles and nuts with trapezoidal,
metric, saw-tooth, ACME and special threads from
8—160 mm ﬂ and up to a length of 6 metres (longer
on request) in single and multi-start designs, ready to
install to drawing.
We also carry out all follow up operations in our factory
such as CNC turning, CNC milling, CNC grinding, etc.
as well as the straightening of spindles for maximum
concentricity using modern straightening presses.
When choosing the material for the turning and spinning
of spindles with accurate leads it must be ensured that
a homogeneous, consistently low stressed spindle
material is used. We would ask you to consider our
suggested materials where possible.
Worms are manufactured by turning or spinning; in
this way we can achieve flank shapes approximating to
DIN 3975 K.
Worms and worm shafts are manufactured exclusively
to customer drawings.
Lead screws
Kammerer also manufactures lead screws in the
trapezoidal and ball screw range up to 1xD, larger
on request
We also provide customer-specific
assemblies and complete solutions.
Rolled threads are manufactured in diameters of
up to 60 mm and a lead of up to 9 mm.
When machining parts supplied by others on a piecework
basis, the preparation carried out by you should be
agreed with us in each case. The same applies to the
choice of material for spindles and nuts.
5
®
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 individual processing phases
to check the manufacture.
sæ2ADIALæANDæAXIALæRUNOUT
sæ0ARALLELISM
sæ!XIALæPLAY
sæ4OOTHæBEARING
sæ0RELOADING
sæ.OLOADæANDæLOADæTORQUES
sæ2IGIDITY
sæ,EADæVARIATION
sæ-ATERIAL
sæ4HREADæPROFILE
sæ(ARDNESS
sæ(ARDENINGæCRACKS
sæ3TRAIGHTNESS
sæ$IMENSIONS
sæ&IT
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.
9
®
10
Dynamic torque protocol
®
&IRMAæ2OSAæ3ISTEMIæ3PA
11
®
&IRMAæ2OSAæ3ISTEMIæ3PA
12
®
13
®
14
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DIN extracts
15
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16
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17
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18
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19
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20
®
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.
sæ-ACHINEæTOOLæMANUFACTURE
sæ#ONVEYORæTECHNOLOGY
sæ!VIATIONæINDUSTRY
sæ2EACTORæTECHNOLOGY
sæ(ANDLINGæTECHNOLOGY
sæ-EDICINEæTECHNOLOGY
sæ-ILITARYæTECHNOLOGY
sæ-EASUREMENTæANDæTESTINGæTECHNOLOGY
sæ4RAFFICæENGINEERING
sæ2ADARæANDæANTENNAæTECHNOLOGY
Problem: Adjustment of textile rollers
Textile processing
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.
22
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.
Design solution
This 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
AXIALæCYLINDRICALæROLLERæBEARINGæFROMæTHEæ:!2&,4.æ
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.
®
Positioning technology
Problem: Exact adjustment of a stop.
Solution: A fast and accurate positioning of the stop
can be achieved by using a ball screw.
Steel sheet processing machine
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 accuracy are
achieved here without any problem.
The drawing shows the feed spindle
of a CNC controlled laser 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 mounted
at both ends in angular-contact
BALLæBEARINGSæFROMæTHEæ:+,&xæ23æ
range. The long spindle is stretched
by means of an adjusting nut. A
second, inner, slotted nut pre-loads
the bearing. The O-arrangement
in the axial angular-contact ball
bearings with a contact angle of 60°
works against the deflection of the
spindle. The axial angular-contact
ball bearings are bolted directly to
the bearing blocks by their thickwalled, 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
23
®
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 electromechanical drive with a ball screw
spindle.
Design solution
Very small, continually varying
adjustments to the grinding wheel
are often necessary when grinding
profiles.
24
The sealed and greased for life
angular contact ball bearing, type
:+,.x23æPREVENTSæTHEæSTICKSLIPæ
effect with these adjustments. By
this means, it is possible to achieve
grinding results of the highest precision. In order to keep the oscillations from the ball screw as small
as possible, in this case the rotating
ball screw nut is mounted in bearings while the ball screw spindle is
stationary. The two ball races in the
anti-friction bearing 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
FROMæTHEæ.!x23æ6'3æRANGEæISæ
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.
®
Ball screw technology
The ball screw is a working unit for converting
a rotary to a linear movement and vice-versa.
ball screw nut
ball screw spindle
It consists of the spindle, the nut system with ball feedback
elements and the balls as anti-friction elements. The balls
form the connection between the spindle and the nut by
rolling in the appropriate 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 loading. On account of its rolling friction, the ball screw has an
extremely low coefficient of friction.
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 compensated
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 proportionately 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 cleaned with a cleaning fluid such as benzene, if
necessary. 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
Efficiency
The efficiency of ball screws is considerably higher than
that of conventional trapezoidal screws due to the rolling
FRICTIONæTHATæOCCURSæINæTHISæCASEæ&URTHERMOREæTHEREæISæNOæ
slip-stick effect, which makes it possible to traverse even
the smallest distances accurately. With ball screws it is
fundamentally 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. Therefore, in installations where self-retardation is required, the
appropriate safeguards such as brakes, for example, must
be provided.
Efficiency in %
ball screws
conventional trapezoidal spindles
Spindles
Steel for surface hardening
Material No. 1.1213
3URFACEæHARDNESSæ
Tensile strength Rm
Elastic limit Rp
Material No. 1.7225
3URFACEæHARDNESSæ
Tensile strength Rm
Elastic limit Rp
Cf53
æææ(2#
600 N/mm2
400 N/mm2
42 CrMo 4
æææ(2#
900 N/mm2
600 N/mm2
Balls
100 Cr 6. Accuracy quality class I – III
(highest quality class) to DIN 5401,
(ARDNESSææÖææ(2#
Nuts
Material No. 1.2067
(ARDNESSæ
Tensile strength Rm
Elastic limit Rp
(ARDæUPæTOæ2Mæ
Material No. 1.3536
(ARDNESSæ
Tensile strength Rm
Elastic limit Rp
(ARDæUPæTOæ2Mæ
100 Cr 6
æææ(2#
980 N/mm2
980 N/mm2
æ.MM2
æææ(2#
690 N/mm2
390 N/mm2
æ.MM2
Material specification for 100Cr6:
Material No. 1.3505, designation to DIN 17 006
Special materials on request.
Lead angle in degrees
27
®
Abstreifer
Wipers
Ball screws should be basically protected against dirt
Kugelgewindetriebe
sollten grundsätzlich vor Schmutz
and impurities.
und
geschützt
werden.
Dies geschieht
WithVerunreinigungen
the Kammerer’s ball
screws,
this is done
by
bei
KAMMERER
Kugelgewindetrieben
standardmäßig
means
of standard
plastic wipers, which,
however,
mightKunststoffabstreifer.
slightly protrude the nut housing.
durch
We
recommend
replacing
the wipers,Laufzeit
as far as
Wir empfehlen nach
entsprechender
des
possible, after the respective running time of the ball
Kugelgewindetriebes die Abstreifer, sofern möglich,
screws. This has a positive effect on the service lift.
auszutauschen,
um die Lebensdauer
zu also
According to customer
requirements,positiv
we deliver
beeinflussen.
plastic wipers offering improved sliding properties.
Auf Kundenwunsch liefern wir auch Kunststoffabstreifer
mit gleitoptimierenden Zusätzen.
The best solution however is to completely cover the
Die
jeoch
die komplette
ball beste
screwLösung
using aist
spiral
spring
cover, for Abdeckung
example.
des Kugelgewindetriebes mit z.B. Spiralfederabdeckungen.
Kunststoffabstreifer
Plastic wipers
Dismantling the nut:
If possible, the nut and the spindle should not be
DISMANTLEDæ(OWEVERæIFæTHISæSHOULDæBEæNECESSARYæ
an assembly sleeve must be used (see sketch).
Outside ø of sleeve = core ø of spindle
-0.1
-0.3
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 !!!
28
®
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
δa
r1
r2
=
=
=
=
contact angle
axial play
ball radius
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 advantages:
æ
æ
æ
æ
æ
&ULLHARDENEDæNUT
&ULLHARDENEDæNUT
Spindle, deep dry
nitride hardened
Spindle, inductive
hardened
sæHIGHESTæRATINGSæANDæTHUSæLONGæLIFETIME
sæBESTæRUNNINGæCHARACTERISTICS
sæEFFICIENCYæUPæTOææ
sæMAXIMUMæRIGIDITY
sæALMOSTæCONSTANTæDRIVEæTORQUE
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.
Internal axial return system
Internal return system
This return system is used by Kammerer.
Tube return system
æ
%æ XTERNALæBALLæFEEDBACKæSYSTEMSæTUBEæRETURNSæ(EREæTHEæ
balls are fed back through a return tube fixed to the outside of the ball screw nut.
29
®
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
&v
δvæ
δa
δbæ
2 · δb
æ
1
sææTHEæPRELOADINGæFORCEæAMOUNTSæTOææææææææææææOFæTHEæAVERAGEæ
2.83
operating load.
Loads over and above this cause the balls of the
unloaded nut to lose contact and the return distance to
increase.
æ
sææ4HEæAVERAGEæOPERATINGæLOADæISæDEFINEDæASæTHEæLOADæ
consistent with a life of 20 · 106 revolutions.
æ
sææ4HEæFOLLOWINGæRELATIONSHIPæCANæBEæDERIVEDæFROMæTHEæ
above:
Nut 1
Fv (pre-loading-force)
= operating load [N]
= pre-loading force [N]
æDEFORMATIONæDUEæTOæ&v
= axial play
æDEFORMATIONæDUEæTOæ&b
= return distance
æ
æ
Axial play
Pre-loading nut systems
In order to eliminate the axial play and to keep the axial
displacement due to the material deformation as small as
possible, 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 manufactured, creates the pre-loading by the oversize of the balls
(= four point contact) and which is thus finding more frequent usage.
The pre-loading is adjusted by varying the diameter of the
balls.
30
O-preloading
Nut 2
®
Grub screw with
centring point
Pre-loading – Kammerer
Pre-loading No. 1 is the preferred method used
by Kammerer.
Nut 1
Nut 2
Pre-loading of spindles
Spindles are pre-loaded to increase the positioning accuracy. Changes
in length due to foreseeable temperature differences are avoided.
Feather key connection
æ
&æ ORæTHISæPURPOSEæSPINDLESæMUSTæBEæGROUNDæWITHæAæLEADæGOINGæINTOæTHEæMINUSæRANGEæ4HEæNECESSARYæVARIATIONæINæTHEææ
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)
A temperature difference of ca. 5° can be expected here. The nominal lead is achieved by stretching the spindle
æDURINGæASSEMBLYæ4HEæAXIALæFORCEæNECESSARYæFORæSTRETCHINGæTHEæSPINDLEæ&æMUSTæBEæPRODUCEDæBYæTHEæBEARINGSæANDæ
is calculated from:
necessary lead variation from equation
modulus of elasticity (21 x 104 N/mm2 for steel)
spindle cross section (mm2), see equation
total length of spindle (mm)
average spindle diameter
The speeds can also be increased when a spindle has been put under tension.
Values for stretching ball screws
æ
sææ$IAMETERæææææMMæ MMææ!ææææææMM2
sææ$IAMETERæææææMMæ MMææ!ææææææMM2
sææ$IAMETERæææææMMæ MMææ!ææææMM2
sæææ$IAMETERæææææMMæ MMææ!ææææMM2
sææ$IAMETERæææææMMæ MMææ!ææææMM2
sææ$IAMETERæææMMæ MMææ!ææææMM2
Rigidity
The total rigidity (Ctot) of a system is made up
OFæTHEææINDIVIDUALæRIGIDITIESæBALLæSCREWæBEARINGSæxæ
The effect of all the factors should therefore be
taken into account.
For the ball screw:
æ
Delta P = (a* l* Delta t) /1000 (mm)
&æææ
æ$ELTAæ0æ
æ%æ
æ!ææLææ .
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)
Rigidity of the body of the nut (cm)
[N/μm]
A = nut cross sectional area
E = modulus of elasticity 21 · 104
Rigidity in the ball area (Ck)
The axial rigidity in the ball area is derived from:
[mm2]
[N/mm2]
Use L1 or L2 according to the direction of the
OPERATINGæLOADæ&b
L1 ≈ 0.5 · nut length
L2 ≈ 0.75 · nut length
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.
&ORæDOUBLEæNUTSæASSUMINGæTHEæSAMEæNUMBERæOFæREVOlutions for each nut and a ratio of
[N/μm]
operating load
pre-loading force
rigidity factor
number of revolutions
[N]
[N]
[N/μm2/3]
3/2
Rigidity of the nut unit (cme)
&ORæANæAPPROXIMATEæCALCULATIONæITæISæSUFFICIENTæTOæSAY
cme = fcm · ck
fcm = 0.55 (internal pre-loading for single nuts)
fcm = 0.70 (pre-loaded double nut)
[N/μm]
31
®
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
E
l
A
dm
Single-sided fixed bearing, case 2
Calculation of the total rigidity
Example – Calculation of rigidity
Nut system DIN 69051
1. Rigidity of the ball area
ck = 2 Fb (k i )
3
2
(53 , 51 5 )2
= 2 3 25000
N / m
c k = 2428
2. Rigidity of the nut area
æ
0 ,7 c k
c me
0 , 7 2428
N /m
= 1700
3.Rigidity of the nut body
A2 E
l 10 3
cm =
cm =
[N
/m
]
1
c ges
N / m
c ges
3.1 Single-sided fixed bearing
cs =
A1 E
l 10 3
[N
1548 21 10
1000 10 3
/m
1
c ges
4
æ
32
1
1
1
1
+
+
=
ck
cm
cs
c me
+
1
325
= 273 N / m
=
1
1700
+
1
1300
1
1
1
1
=
+
+
c ges
ck
cm
cs
4 A1 E
[N / m ]
=
3
l 10
= 4 325 = 1300 N / m
=
1
1700
1
c ges
=
1
1
1
+
+
2428
4221
325
= 268 N / m
4.4 Double-sided fixed bearing
4. Total rigidity
1
c ges
=
c ges = 737 N / m
cs
= 1000 mm
= 53.51 N/μm
= 1548 mm2
= 1970 mm2
]
c s = 325 N / m
cs
l
k
A1
A2
3. Rigidity of the spindle
cs =
Nominal diameter
Lead
Number of revolutions
Dynamic rating
/PERATINGæLOADæMAXæ
Spindle length
between bearings
Rigidity factor
Spindle cross sectional area
Nut cross sectional area
according to
dimension sheet
d0 = 50 mm
P = 10 mm
i =5
C = 98 400 N
&b = 25 000 N
4
21 10
3
98 10
1970
c m = 4221
= modulus of elasticity 21 · 104 [N/mm2]
= length between bearings or between
bearing and nut
[mm]
= spindle cross sectional area
[mm2]
= average spindle diameter
[mm]
(see table on Page 41 (“critical bending
speed”)
+
1
cs
1
1
1
1
=
+
+
c ges
2428
4221
1300
= 705 N / m
&ORæFURTHERæRIGIDITYæVALUESæBEARINGæRIGIDITYæVALUESæSEEæ0AGEænæh3PINDLEæENDæMACHININGæWITHæBEARINGSv
10
12
12
12
16
16
16
20
20
20
24
24
24
24
30
30
30
30
30
38
38
38
38
12x2
12x3
12x5
16x5
16x10
16x16
20x5
20x10
20x20
25x5
25x10
25x20
25x25
32x5
32x10
32x10
32x20
32x32
40x5
40x10
40x20
40x20
Spindle-Ø
h6
10x2
Dimension and
pitch
3,5
6,35
6,35
8
3,5
4,5
6,35
6,35
6,35
3,5
3,5
3,5
3,5
3,175
3,175
3,175
2,38
2,38
2,38
1,58
2,38
2,38
1,58
Ball-Ø
DK Ø
38,5
39,5
39,5
39,5
30,5
31,0
31,5
31,5
31,5
24,5
24,5
24,5
24,5
20,5
20,5
20,5
16,42
16,42
16,42
12,2
12,42
12,42
10,2
Ball reference
circle
d
5
4
3
3
5
4
4
3
2
5
3
2
2
5
3
2
4
3
2
2
2
2
2
Circulations
i
31600
58400
44500
59700
28600
32900
51800
39300
26200
25900
16100
10800
10700
20900
13000
8600
10400
7900
5300
2600
4000
4000
2200
Load
rating
Cdyn (N)
DK = ball diameter
d = ball reference circle
i = number of threads bearing the load
K = rigidity factor per thread
ck = rigidity of the double nut
63,04
46,45
46,00
42,52
48,78
43,61
38,18
37,61
36,51
38,59
38,34
39,39
38,71
34,78
34,48
35,17
31,74
31,31
32,07
28,74
23,43
23,31
24,62
K/
Ball
315,2
185,8
138
127,56
243,9
174,44
152,72
112,83
73,02
192,95
115,02
78,78
77,42
173,9
103,44
70,34
126,96
93,93
64,14
57,48
46,86
46,62
49,24
Rigidity
characteristic
K
437
745
997
1048
360
555
591
849
991
300
403
568
651
262
352
494
196
282
341
548
935
1249
1315
452
637
743
1069
1245
377
506
713
819
331
444
622
248
356
431
80
110
155
5%Cdyn
70
5%Cdyn
56
63
87
122
EfM /
Rnu,ar
Rigidity
DpM /
Rnu,ar
Rigidity
fcm = 0.55 for internally pre-loaded single nuts
fcm = 0.70 for pre-loaded double nuts
Nut rigidity Cme = fcm · ck
Calculation of the axial resilience of a ball screw
in the ball area with a rigidity factor K (see adjacent
table).
Rigidity
38
38
38
48
48
48
48
48
48
48
48
48
48
60
60
60
60
60
60
60
60
80
80
80
80
80
80
100
100
100
100
100
120
120
120
120
160
160
160
40x20
40x40
40x40
50x5
50x10
50x20
50x20
50x30
50x30
50x40
50x40
50x50
50x50
63x5
63x10
63x20
63x20
63x40
63x40
63x50
63x50
80x10
80x10
80x20
80x20
80x40
80x60
100x10
100x10
100x20
100x20
100x40
120x10
120x20
120x20
120x40
160x20
160x20
160x40
12,7
12,7
12,7
7,5
12,7
12,7
12,7
6,35
7,5
12,7
12,7
12,7
6,35
7,5
12,7
12,7
12,7
12,7
3,5
7,5
7,5
9,52
7,5
9,52
7,5
9,52
3,5
7,5
7,5
8
7,5
8
7,5
8
7,5
8
9,52
8
9,52
162,5
162,5
162,5
120,5
122,5
122,5
122,5
101,5
100,5
102,5
102,5
102,5
81,5
80,5
82,5
82,5
82,5
82,5
60,5
60,5
60,5
62,04
60,5
62,04
60,5
62,04
48,5
48,5
48,5
49,5
48,5
49,5
48,5
49,5
48,5
49,5
40,04
39,5
40,04
4
6
4
6
4
6
4
6
6
4
6
4
6
6
4
6
4
3
6
6
4
6
4
4
3
3
6
5
4
4
4
4
4
4
3
3
3
2
2
279200
402900
278800
170700
248600
358600
248000
126300
159000
230000
331800
229200
115800
145300
207800
299800
206700
157000
44500
128600
88900
178500
88000
122500
66900
93200
40800
98400
80000
88000
79500
87400
78800
86700
59700
65700
74300
39600
49400
139,47
139,47
139,15
134,03
104,53
104,53
104,11
123,31
113,16
85,12
85,12
84,64
98,62
89,31
69,57
69,57
68,96
67,98
97,66
68,43
68,16
60,11
67,10
59,20
66,34
61,79
79,33
53,51
53,18
51,88
55,58
51,36
54,82
53,63
53,88
52,72
39,78
40,99
38,38
557,88
836,82
556,6
804,18
418,12
627,18
416,44
739,86
678,96
340,48
510,72
338,56
591,72
535,86
278,28
417,42
275,84
203,94
585,96
410,58
272,64
360,66
268,4
236,8
199,02
185,37
475,98
267,55
212,72
207,52
222,32
205,44
219,28
214,52
161,64
158,16
119,34
81,98
76,76
3212
3831
5325
1865
2750
3229
4493
1527
1573
2424
2823
3928
1340
1365
2095
2428
3372
3977
642
1146
1598
1890
2546
2614
2656
2822
551
897
1331
1359
1804
1778
2174
2218
2259
2308
1080
1415
1459
3862
4660
6464
2295
3361
3980
5531
1862
1922
2988
3504
4870
1651
1685
2596
3026
4200
4948
801
1429
1991
2368
3185
3273
3317
3524
690
1121
1666
1704
2261
2234
2726
2789
2831
2898
1355
1775
1830
Example 2:
K = 53.51
&æææ.
l: ≈ 57 μm
Example 1:
K = 53.51
&æææ.
l: ≈ 30 μm
(EREæTHEæELASTICæDEFLECTIONæOFæTHEæ
nut system can be read off from the
rigidity factor and the operational
loading in N; e.g. KGT 50 x 10:
®
33
Rigidity
Nut rigidity Cme = fcm · ck
fcm = 0.55 for internally pre-loaded single nuts
fcm = 0.70 for pre-loaded double nuts
(EREæTHEæELASTICæDEFLECTIONæOFæTHEæ
nut system can be read off from the
rigidity factor and the operational
loading in N; e.g. KGT 50 x 10:
Example 1:
K = 53.51
&æææ.
l: ≈ 30 μm
Example 2:
K = 53.51
&æææ.
l: ≈ 57 μm
®
Average loading
Constant speed / varying load
etc.
Constant speed / linearly varying load
Speed and load varying
&bm
nm
q1
n1
= average axial load [N]
= average speed [rpm]
= proportion of time used referred to 100 %
= speed values
Load F
æ
Proportion
of time
q (%)
Speed n
etc.
Proportion
of time
q (%)
Average speed
etc.
[rpm]
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 A ≥ 5°):
The drive power is calculated from:
34
&æ æ&ORCEæ;.=
Ma = Drive torque [Nm]
Me = Output torque [Nm]
n = Speed [rpm]
P = Lead [mm]
Pa = Power [kW]
η = Efficiency [0.9 – 0.95]
®
Life time rigidity
4/10/2008 10:25
Customer Kammerer
Drawing no.
Z axis
Type
KGT50 x 40 x
G
DYN
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
(ARDNESSæ(6æ
(6
720
Smelting factor
fm
1,44
Dynamic factor and ceramic spheres
fdyn
1
2ELIABILITYæ&ACTOR
fr
1
4OLERANCEæ&ACTOR
fac
1
3PEEDæ#ORRECTIONæ&ACTOR
fk
0,32
"UCKLINGæ&ACTOR
&KN
0,25
Duty Cycle in % ED.
ED
100
%
Nut Ø
D1
95
mm
Normal sphere
filling
Nut Length
L2
100
mm
Unsupported spindle length
Ls
1350
mm
Initial Tension of Nut for Rigidity
&V-
2000
N
!XIALæ&ORCEæFORæ4ORQUEæ#ALCULATION
&M
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
35
®
Life time rigidity
4/10/2008 10:25
Customer Kammerer
Drawing 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
&M
18493
N
Dyn. equivalent load
&MA
12822
N
&MA
-5671
N
Life time EM
Lm
128622831
rpm.
Life time DpM sym. circ.
Lm
128622831
rpm.
3568
h
h
Life time in hours
Life time in hours with ED %
100 %
3568
Whipping speed
rpm
1047
Total rotating spindle mass.
N
273
Roll proportion
Üf
6,51
i
13026
rpm.
Limit speed of roller element
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
&KN
Mass reactance torque int. diam. KGT spindle
Kg/m
106609
2
N
0,017
Load summary
Type of burden 1 speed 1 rotat.
50
Axial force 1 in N 7245
Time share 1 in % 12,50
50
200
200
2000
2000
1414
1414
0
0
Time share 10
in %
0,00
0
Time share 11
in %
0,00
0
Time share 12
in %
0,00
36
®
Efficiency H or H’
A
P
do
R
= lead angle [°]
= lead [mm]
= 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:
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 revolutions or hours respectively.
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.
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.
L
Lh
Co
C
&am
&a max
nm
fn
fn =
= lifetime [revolutions]
= lifetime [h]
= static rating [N]
= dynamic rating [N]
= average axial load [N]
= max. axial load [N]
= average speed [rpm]
= utilisation factor
Duration of use (h)
Planned utilisation of the machine (h)
Guide values for machine life:
1-shift: 10,000 to 20,000 hours
2-shift: 20,000 to 40,000 hours
37
®
Load Fam [kN]
Lifetime diagram
Mini-KGT (Ø 8 – Ø 16)
Lifetime L [106 revolutions]
38
®
Load Fam [kN]
Lifetime diagram
KGT (Ø 16 – Ø 160)
Lifetime L [106 revolutions]
39
®
Example – Calculation of lifetime
æ
æ
Given load and speed values:
&ASTæSPEEDæ
N1æææRPMæ
Roughing work:
n2æææ æ æRPMæ
&INISHæMACHININGæ
N3æææ æRPMæ
Lifetime of the machine:
Utilisation factor of the ball screw:
&b1
&b2
&b3
Lh
fn
= 7,500 N, q1 = 25 %
= 25,000 N, q2 = 40 %
= 18,000 N, q3 = 35 %
= 10,000 h
= 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).
1. Calculating the average speed (nm) [rpm]
q
q
q
nm = n1 1 + n2 2 + n3 3 + ...
100
nm = 1200 æ
100
25
100
+ 60 100
40
100
+ 150 35
100
= 376 ,5 rpm
min 1
æ#ALCULATINGæTHEæAVERAGEæLOADæ&
g
g bm
( )bm[N]
)[
Fbm =
3
Fb1 3 Fbm =
3
7500
3
]
n1
q
n
q
n
q
1 + Fb 2 3 2 2 + Fb 3 3 3 3 + ...
n m 100
n m 100
nm 100
1200
25
60
40
150
35
+ 25 .000 3 + 18 .000 3 376 ,5 100
376 ,5 100
376 , 5 100
3. Required lifetime (L):
= 12 .897 N
L = 60 · Lh · nm · fn
L = 60 10 .000 376 ,5 0, 5 = 112 ,95 10 6 rpm
4. Calculation of the required dynamic loading capacity (C)
C = Fbm 3
L
10 6
C = 12 .897 æ
3
112 ,95 10 6
=
10 6
62 .342 N
(
æ EREæAæBALLæSCREWæWITHæAæNOMINALæDIAMETERæOFææMMæNOMINALæLEADæææMMæANDææLOADBEARINGæTHREADSæWITHæ
a dynamic rating of C = 98,400 N is chosen from the dimension sheets.
5. Re-examination of the expected lifetime (L and Lh)
3
C 6
L =
10
F
bm rpm ]
[Umdr.
3
98 .400 L =
10 6
12 .897 = 444 10 6 Umdr
rpm .
Lh =
L
60 nm f n
Lh =
[h ]
444 10 6
= 39 . 322 h
60 376 ,5 0,5
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 feedback
SYSTEMæ&URTHERMOREæITæISæDEPENDENTæUPONæTHEæSIZEæANDæTYPEæOFæTHEæLUBRICATIONæSYSTEMæOILæORæGREASE
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
Je nach Durchmesser +
Überrollverhältnis = (AD/Kugel-Ø)
K
nmax = max. speed (rpm)
nmax =
K
=
speed
factor
d
d
= spindle diameter (mm)
æ
40
The maximum possible traverse speed can be calculated from the formula:
vmax = max. possible traverse speed (mm/sec)
K·P
vmax =
P
= thread lead (mm)
60 · d
With speed factors above 20,000, the dynamic rating of the ball screw should include a safety margin of at least
20 %.
4
æ HEæSAMEæCANæBEæACHIEVEDæBYæANæAPPROPRIATEæTAPERINGæOFFæOFæTHEæLOADæ(OWEVERæTOOæSMALLæAæLOADINGæSHOULDæBEæ
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.
®
Calculation of critical bending speed
Calculation of the critical bending speed nkr
Take speed limits of the nut system into account
(see Page 40)
KGT Type
10x 2
12x 3
12x 5
16x 5
20x 5
25x 5
32x 5
40x 5
50x 5
63x 5
32x10
32x10
40x10
50x10
63x10
80x10
80x10
100x10
120x10
63x20
80x20
100x20
120x20
160x20
Ball-Ø
1,58
2,38
2,38
2,38
3,175
3,5
3,5
3,5
3,5
3,5
4,5
6,35
6,35
7,5
7,5
6,35
7,5
7,5
7,5
7,5
12,7
12,7
12,7
12,7
dm Ø
9,3
11,0
11,0
15,0
18,6
22,5
28,5
36,5
46,5
58,5
28,2
27,5
35,5
44,4
56,4
77,5
76,4
96,4
116,4
56,4
74,8
94,8
114,8
154,8
0.8
nkr
fk
dm
&æ
la
nzul
= safety factor
= critical speed from the diagram [rpm]
= correction factor
= average thread diameter, see table below
æWEIGHTæOFæTHEæUNSUPPORTEDæSPINDLEæLENGTHæINæ.
= bearing spacing [mm]
= permissible speed [rpm]
N/m
5,3
7,4
7,4
13,9
21,3
31,3
49,9
81,9
133,0
210,6
49,0
46,6
77,7
121,5
196,1
370,3
359,9
572,9
835,3
196,1
344,5
553,5
811,8
1476,5
Average thread diameter = dm
Weight of the spindle/metre = N/m
Correction factor
case 1
case 2
case 3
case 4
41
®
Critical bending speed ncr [rpm]
Critical bending speed diagram
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.
42
®
Buckling
#ALCULATIONæOFæTHEæBUCKLINGæFORCEæ&kn as a function of the spindle length Lk
and the core diameter of the spindle.
dk = core diameter of the spindle
Lk = unsupported spindle length
fk = correction factor for bearing type
Core diameter see Nut dimensions tables, page 47 to 55.
Buckling force Fkn [kN]
Correction factor fk
for taking the type of
bearing into account:
43
®
Buckling – diagram
KGT (Ø 20–160)
Buckling factor see Page 43
Buckling length L [103 mm] (unsupported spindle length)
44
®
Leads – Overview
Spindle ø
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.
preferred standard range
Lead – standard
(OWæACCURATEæAREæTHEæLEADSæANDæHOWæAREæTHEYæ
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.
Nut systems
æ
Cylindrical single nut
Pre-loaded flanged double nut
Cylindrical double nut
Pre-loaded centre-flanged double nut
&LANGEDæSINGLEæNUTæORæINTERNALLYæ
pre-loaded flanged single nut
Single nut with and without screw flange
45
®
FM Nut
46
Drilling diagram 1
Nut dimensions table FM
Drilling diagram 2
Wiper
Lubrication connection
Dimension
and
lead
16x5
16x10
16x16
20x5
20x10
20x20
25x5
25x10
25x20
25x25
32x5
32x10
32x10
32x20
32x32
40x5
40x10
40x20
40x20
40x20
40x40
40x40
50x5
50x10
50x20
50x20
50x30
50x30
50x40
50x40
50x50
50x50
63x5
63x10
63x20
63x20
63x40
63x40
63x50
63x50
80x10
80x10
80x20
80x20
80x40
80x60
100x10
100x10
100x20
100x20
100x40
120x10
120x20
120x20
120x40
160x20
160x20
160x40
FM
Spindle-Ø h6
16
16
16
20
20
20
24
24
24
24
30
30
30
30
30
38
38
38
38
38
38
38
48
48
48
48
48
48
48
48
48
48
60
60
60
60
60
60
60
60
80
80
80
80
80
80
100
100
100
100
100
120
120
120
120
160
160
160
08.04.2008
D4
D6
D5
Drilling
No. of
GeometricalDrilling-Ø
Flange-Ø
Fit
diagramm
holes
Ø
2,38
14,0
28
38
1
6
5,5
48
2,38
14,0
28
38
1
6
5,5
48
2,38
14,0
28
38
1
6
5,5
48
3,175
17,2
36
47
1
6
6,6
58
3,175
17,2
36
47
1
6
6,6
58
3,175
17,2
36
47
1
6
6,6
58
3,5
20,9
40
51
1
6
6,6
62
3,5
20,9
40
51
1
6
6,6
62
3,5
20,9
40
51
1
6
6,6
62
3,5
20,9
40
51
1
6
6,6
62
3,5
26,9
50
65
1
6
9
80
4,5
26,4
50
65
1
6
9
80
6,35
25,0
56
71
1
6
9
86
2
6,35
25,0
56
71
1
6
9
86
2
6,35
25,0
56
71
1
6
9
86
2
3,5
34,9
63
78
2
8
9
93
6,35
33,0
63
78
2
8
9
93
2
6,35
33,0
63
78
2
8
9
93
2
8,0
31,3
70
85
2
8
9
100
2
9,52
30,3
75
93
2
8
11
110
2
8,0
31,3
70
85
2
8
9
100
2
9,52
30,3
75
93
2
8
11
110
2
3,5
44,9
75
93
2
8
11
110
7,5
40,8
75
93
2
8
11
110
7,5
40,8
75
93
2
8
11
110
2
8,0
41,3
82
100
2
8
11
118
2
7,5
40,8
75
93
2
8
11
110
2
8,0
41,3
82
100
2
8
11
118
2
7,5
40,8
75
93
2
8
11
110
2
8,0
41,3
82
100
2
8
11
118
2
7,5
40,8
75
93
2
8
11
110
2
8,0
41,3
82
100
2
8
11
118
2
3,5
56,9
90
108
2
8
11
125
7,5
52,8
90
108
2
8
11
125
7,5
52,8
90
108
2
8
11
125
2
2
9,52
52,3
95
115
2
8
13,5
135
7,5
52,8
90
108
2
8
11
125
2
9,52
52,3
95
115
2
8
13,5
135
2
7,5
52,8
90
108
2
8
11
125
2
9,52
52,3
95
115
2
8
13,5
135
2
6,35
75,0
105
125
2
8
13,5
145
7,5
72,8
108
128
2
8
13,5
148
12,7
69,5
125
145
2
8
13,5
165
2
12,7
69,5
125
145
2
8
13,5
165
2
12,7
69,5
125
145
2
8
13,5
165
2
12,7
69,5
125
145
2
8
13,5
165
2
6,35
95,0
125
145
2
8
13,5
165
7,5
92,8
128
148
2
8
13,5
168
12,7
89,5
150
176
2
8
17,5
202
2
12,7
89,5
150
176
2
8
17,5
202
2
12,7
89,5
150
176
2
8
17,5
202
2
7,5
112,8
150
176
2
8
17,5
202
2
12,7
109,5
170
196
2
8
17,5
222
2
12,7
109,5
170
196
2
8
17,5
222
2
2
12,7
109,5
170
196
2
8
17,5
222
12,7
149,5
210
243
2
8
22
275
2
12,7
149,5
210
243
2
8
22
275
2
12,7
149,5
210
243
2
8
22
275
2
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.
Ball-Ø
Core-Ø
D1g6
Spindle
Centr-Ø
®
Forms of flange
Form A
L1
size
10
10
10
10
10
10
10
10
10
10
10
10
20
20
20
10
20
20
25
25
25
25
16
16
20
25
20
25
20
25
20
25
16
16
25
25
25
25
25
25
16
16
25
25
25
25
16
16
25
25
25
25
25
25
25
25
25
25
L2
Form B
L7
Total length Flange width
45
55
60
52
60
70
60
60
70
85
60
80
80
95
120
70
88
95
110
110
130
140
70
98
135
135
170
170
220
220
210
210
70
120
135
190
220
220
220
220
125
125
160
200
240
260
125
125
190
220
250
125
180
220
260
190
230
270
10
10
10
10
10
10
10
10
10
10
12
12
14
14
14
14
14
14
14
16
14
16
16
16
16
16
16
16
16
16
16
16
18
18
18
20
18
20
18
20
20
20
25
25
25
25
22
22
30
30
30
25
30
30
30
40
40
40
Form C
L8
L9
L10
Form B
Form C
Thread depth
40
40
40
44
44
44
48
48
48
48
62
62
65
65
65
70
70
70
75
85
75
85
85
85
85
92
85
92
85
92
85
92
95
95
95
100
95
100
95
100
110
113
130
130
130
130
130
133
155
155
155
155
175
175
175
215
215
215
44
44
44
51
51
51
55
55
55
55
71
71
75,5
75,5
75,5
81,5
81,5
81,5
87,5
97,5
87,5
97,5
97,5
97,5
97,5
105
97,5
105
97,5
105
97,5
105
110
110
110
117,5
110
117,5
110
117,5
127,5
130,5
147,5
147,5
147,5
147,5
147,5
150,5
178,5
178,5
178,5
178,5
198,5
198,5
198,5
245
245
245
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
L11
Dist. lubr.
width
Lubrication
connection
5
5
5
5
5
5
5
5
5
5
6
6
7
7
7
7
7
7
7
8
7
8
8
8
8
8
8
8
8
8
8
8
9
9
9
10
9
10
9
10
10
10
12,5
12,5
12,5
12,5
11
11
15
15
15
12,5
15
15
15
20
20
20
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
Cdyn (KN)
Cstat (KN)
Rating
Rating
10,4
7,9
5,3
20,9
13,0
8,6
25,9
16,1
10,8
10,7
28,6
32,9
51,8
39,3
26,2
31,6
58,4
44,5
59,7
74,3
39,6
49,4
40,8
98,4
80,0
88,0
79,5
87,4
78,8
86,7
59,7
65,7
44,5
128,6
88,9
178,5
88,0
122,5
66,9
93,2
115,8
145,3
207,8
299,8
206,7
157,0
126,3
159,0
230,0
331,8
229,2
170,7
248,6
358,6
248,0
279,2
402,9
278,8
15,2
11,0
6,9
32,1
18,4
11,6
42,5
24,2
15,2
15,3
53,5
54,4
75,5
54,8
34,2
68,4
97,1
70,8
87,6
104,8
54,3
64,6
105,5
179,5
140,8
153,4
141,2
154,0
141,0
153,9
102,5
112,5
132,1
275,6
179,1
355,2
178,1
230,2
129,7
168,5
321,3
372,0
406,1
628,1
407,9
296,3
401,9
468,4
510,1
789,8
512,6
562,8
619,6
951,3
616,9
827,0
1279,6
830,6
i
Number of
revolution
4
3
2
5
3
2
5
3
2
2
5
4
4
3
2
5
4
3
3
3
2
2
6
5
4
4
4
4
4
4
3
3
6
6
4
6
4
4
3
3
6
6
4
6
4
3
6
6
4
6
4
6
4
6
4
4
6
4
47
Nut dimensions table FM
FM
Drilling diagram 1
Drilling diagram 2
Wiper
Forms of flange
Form A
Form B
Form C
®
DpFM Nut
48
Drilling diagram 1
Nut dimensions table DpfM
Drilling diagram 2
Locking device
Wiper
Dimensions
Spindle-Ø h6
and
lead
16x5
16
16x10
16
16x16
16
20x5
20
20x10
20
20x20
20
25x5
24
25x10
24
25x20
24
25x25
24
32x5
30
32x10
30
32x10
30
32x20
30
32x32
30
40x5
38
40x10
38
40x20
38
40x20
38
40x20
38
40x40
38
40x40
38
50x5
48
50x10
48
50x20
48
50x20
48
50x30
48
50x30
48
50x40
48
50x40
48
50x50
48
50x50
48
63x5
60
63x10
60
63x20
60
63x20
60
63x40
60
63x40
60
63x50
60
63x50
60
80x10
80
80x10
80
80x20
80
80x20
80
80x40
80
80x60
80
100x10
100
100x10
100
100x20
100
100x20
100
100x40
100
120x10
120
120x20
120
120x20
120
120x40
120
160x20
160
160x20
160
160x40
160
DpfM
08.04.2008
Ball-Ø
2,38
2,38
2,38
3,175
3,175
3,175
3,5
3,5
3,5
3,5
3,5
4,5
6,35
6,35
6,35
3,5
6,35
6,35
8,0
9,52
8,0
9,52
3,5
7,5
7,5
8,0
7,5
8,0
7,5
8,0
7,5
8,0
3,5
7,5
7,5
9,52
7,5
9,52
7,5
9,52
6,35
7,5
12,7
12,7
12,7
12,7
6,35
7,5
12,7
12,7
12,7
7,5
12,7
12,7
12,7
12,7
12,7
12,7
D4
D6
L
D5
Drilling
No. of
GeometricalDrilling-Ø
Flange-Ø
Fit
Spindle
Centr-Ø
diagramm
holes
Ø
14,0
28
38
1
6
5,5
48
1
14,0
28
38
1
6
5,5
48
1
14,0
28
38
1
6
5,5
48
1
17,2
36
47
1
6
6,6
58
1
17,2
36
47
1
6
6,6
58
1
17,2
36
47
1
6
6,6
58
1
20,9
40
51
1
6
6,6
62
1
20,9
40
51
1
6
6,6
62
1
20,9
40
51
1
6
6,6
62
1
20,9
40
51
1
6
6,6
62
1
26,9
50
65
1
6
9
80
1
26,4
50
65
1
6
9
80
1
2
25,0
56
71
1
6
9
86
25,0
56
71
1
6
9
86
2
25,0
56
71
1
6
9
86
2
34,9
63
78
2
8
9
93
1
2
33,0
63
78
2
8
9
93
33,0
63
78
2
8
9
93
2
31,3
70
85
2
8
9
100
2
30,3
75
93
2
8
11
110
2
31,3
70
85
2
8
9
100
2
30,3
75
93
2
8
11
110
2
44,9
75
93
2
8
11
110
1
40,8
75
93
2
8
11
110
1
2
40,8
75
93
2
8
11
110
41,3
82
100
2
8
11
118
2
40,8
75
93
2
8
11
110
2
41,3
82
100
2
8
11
118
2
40,8
75
93
2
8
11
110
2
41,3
82
100
2
8
11
118
2
40,8
75
93
2
8
11
110
2
41,3
82
100
2
8
11
118
2
56,9
90
108
2
8
11
125
1
52,8
90
108
2
8
11
125
1
2
52,8
90
108
2
8
11
125
52,3
2
95
115
2
8
13,5
135
52,8
90
108
2
8
11
125
2
52,3
95
115
2
8
13,5
135
2
52,8
90
108
2
8
11
125
2
52,3
95
115
2
8
13,5
135
2
75,0
105
125
2
8
13,5
145
1
72,8
108
128
2
8
13,5
148
1
2
69,5
125
145
2
8
13,5
165
69,5
125
145
2
8
13,5
165
2
69,5
125
145
2
8
13,5
165
2
69,5
125
145
2
8
13,5
165
2
95,0
125
145
2
8
13,5
165
1
92,8
128
148
2
8
13,5
168
1
2
89,5
150
176
2
8
17,5
202
89,5
150
176
2
8
17,5
202
2
89,5
150
176
2
8
17,5
202
2
112,8
150
176
2
8
17,5
202
2
109,5
170
196
2
8
17,5
222
2
109,5
170
196
2
8
17,5
222
2
109,5
170
2
196
2
8
17,5
222
149,5
210
243
2
8
22
275
2
149,5
210
243
2
8
22
275
2
149,5
210
243
2
8
22
275
2
Same-construction left-handed threads, special pitches and double-thread versions are available on request.
Yellow: special diameter D1+3 mm due to thin walls.
Core-Ø
D1g6
®
Forms of flange
Form A
L1
size
0
0
0
0
0
0
0
0
0
0
0
0
20
20
20
0
20
20
25
25
25
25
6
6
20
25
20
25
20
25
20
25
6
6
25
25
25
25
25
25
6
6
25
25
25
25
6
6
25
25
25
25
25
25
25
25
25
25
L2
Form B
L7
Total length Flange width
85
110
115
95
110
135
95
110
135
155
105
150
150
190
200
110
160
192
210
210
250
250
130
185
240
250
330
330
410
410
400
400
130
210
250
350
420
430
420
420
225
225
300
350
440
480
230
230
300
380
450
235
310
390
470
320
400
480
10
10
10
10
10
10
10
10
10
10
12
12
14
14
14
14
14
14
14
16
14
16
16
16
16
16
16
16
16
16
16
16
18
18
18
20
18
20
18
20
20
20
25
25
25
25
22
22
30
30
30
25
30
30
30
40
40
40
Form C
L8
L9
L10
Form B
Form C
Thread depth
40
40
40
44
44
44
48
48
48
48
62
62
65
65
65
70
70
70
75
85
75
85
85
85
85
92
85
92
85
92
85
92
95
95
95
100
95
100
95
100
110
113
130
130
130
130
130
133
155
155
155
155
175
175
175
215
215
215
44
44
44
51
51
51
55
55
55
55
71
71
75,5
75,5
75,5
81,5
81,5
81,5
87,5
97,5
87,5
97,5
97,5
97,5
97,5
105
97,5
105
97,5
105
97,5
105
110
110
110
117,5
110
117,5
110
117,5
127,5
130,5
147,5
147,5
147,5
147,5
147,5
150,5
178,5
178,5
178,5
178,5
198,5
198,5
198,5
245
245
245
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
L11
Dist. lubr.
width
5
5
5
5
5
5
5
5
5
5
6
6
7
7
7
7
7
7
7
8
7
8
8
8
8
8
8
8
8
8
8
8
9
9
9
10
9
10
9
10
10
10
12,5
12,5
12,5
12,5
11
11
15
15
15
12,5
15
15
15
20
20
20
Lubrication
connection
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M6
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
Cdyn (KN)
Cstat (KN)
Rating
Rating
10,4
7,9
5,3
20,9
13,0
8,6
25,9
16,1
10,8
10,7
28,6
32,9
51,8
39,3
26,2
31,6
58,4
44,5
59,7
74,3
39,6
49,4
40,8
98,4
80,0
88,0
79,5
87,4
78,8
86,7
59,7
65,7
44,5
128,6
88,9
178,5
88,0
122,5
66,9
93,2
115,8
145,3
207,8
299,8
206,7
157,0
126,3
159,0
230,0
331,8
229,2
170,7
248,6
358,6
248,0
279,2
402,9
278,8
15,2
11,0
6,9
32,1
18,4
11,6
42,5
24,2
15,2
15,3
53,5
54,4
75,5
54,8
34,2
68,4
97,1
70,8
87,6
104,8
54,3
64,6
105,5
179,5
140,8
153,4
141,2
154,0
141,0
153,9
102,5
112,5
132,1
275,6
179,1
355,2
178,1
230,2
129,7
168,5
321,3
372,0
406,1
628,1
407,9
296,3
401,9
468,4
510,1
789,8
512,6
562,8
619,6
951,3
616,9
827,0
1279,6
830,6
i
Number of
revolution
4
3
2
5
3
2
5
3
2
2
5
4
4
3
2
5
4
3
3
3
2
2
6
5
4
4
4
4
4
4
3
3
6
6
4
6
4
4
3
3
6
6
4
6
4
3
6
6
4
6
4
6
4
6
4
4
6
4
49
Nut dimensions table DpfM
DpfM
Drilling diagram 1
Drilling diagram 2
Locking device
Wiper
Forms of flange
Form A
Form B
Form C
®
EM Nut
50
Spindle-Ø
h6
16
16
16
20
20
20
24
24
24
24
30
30
30
30
30
38
38
38
38
38
38
Dimension
and
lead
16x5
16x10
16x16
20x5
20x10
20x20
25x5
25x10
25x20
25x25
32x5
32x10
32x10
32x20
32x32
40x5
40x10
40x20
40x20
40x20
40x40
2,38
2,38
2,38
3,175
3,175
3,175
3,5
3,5
3,5
3,5
3,5
4,5
6,35
6,35
6,35
3,5
6,35
6,35
8
9,52
8
Ball-Ø
(Lubrication connection)
14,0
14,0
14,0
17,2
17,2
17,2
20,9
20,9
20,9
20,9
26,9
26,4
25,0
25,0
25,0
34,9
33,0
33,0
31,3
30,3
31,3
Core-Ø
Spindle
Wiper
28
28
28
36
36
36
40
40
40
40
50
50
56
56
56
63
63
63
70
75
70
Centr.Ø
D1 g6
L2
Total
length
45
55
60
52
55
65
60
60
70
80
60
80
75
95
95
70
88
90
105
105
130
L3
Groove
distance
10
10
10
11
11
11
12
12
12
12
13
20
20
20
20
15
25
25
25
25
25
L4
16
16
16
20
20
20
20
20
20
20
20
28
28
28
28
20
28
28
28
28
28
Groove
length
L6
Drinning
distance
10
10
10
10
10
10
10
10
10
10
10
12
12
12
12
12
12
12
12
12
12
bP9
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
5
5
5
5
5
5
5
5
5
5
5
5
6
6
6
6
6
6
Groove
Drill.Ø width
d
t
Groove
depth
2,4
2,4
2,4
2,9
2,9
2,9
2,9
2,9
2,9
2,9
2,9
2,9
2,9
2,9
2,9
3,5
3,5
3,5
3,5
3,5
3,5
10,4
7,9
5,3
20,9
13,0
8,6
25,9
16,1
10,8
10,7
28,6
41,1
51,8
39,3
26,2
31,6
58,4
44,5
59,7
74,3
39,6
Rating
Cdyn (KN)
15,2
11,0
6,9
32,1
18,4
11,6
42,5
24,2
15,2
15,3
53,5
68,0
75,5
54,8
34,2
68,4
97,1
70,8
87,6
104,8
54,3
Rating
Cstat (KN)
i
No. of
revolution
4
3
2
5
3
2
5
3
2
2
5
5
4
3
2
5
4
3
3
3
2
Nut dimensions table EM
38
48
48
48
48
48
48
48
48
48
48
60
60
60
60
60
60
60
60
80
80
80
80
80
80
100
100
100
100
100
120
120
120
120
160
160
160
08.04.2008
40x40
50x5
50x10
50x20
50x20
50x30
50x30
50x40
50x40
50x50
50x50
63x5
63x10
63x20
63x20
63x40
63x40
63x50
63x50
80x10
80x10
80x20
80x20
80x40
80x60
100x10
100x10
100x20
100x20
100x40
120x10
120x20
120x20
120x40
160x20
160x20
160x40
EM
9,52
3,5
7,5
7,5
8
7,5
8
7,5
8
7,5
8
3,5
7,5
7,5
9,52
7,5
9,52
7,5
9,52
6,35
7,5
12,7
12,7
12,7
12,7
6,35
7,5
12,7
12,7
12,7
7,5
12,7
12,7
12,7
12,7
12,7
12,7
75
75
75
75
82
75
82
75
82
75
82
90
90
90
95
90
95
90
95
105
108
125
125
125
125
125
128
150
150
150
150
170
170
170
210
210
210
130
90
98
125
125
160
160
210
210
200
200
70
120
125
180
210
210
210
210
125
125
150
190
220
240
125
125
160
190
230
125
160
190
240
160
190
240
25
28
28
28
28
28
28
28
28
28
28
28
32
40
40
40
40
40
40
35
35
40
40
40
40
40
40
50
50
50
40
50
50
50
50
50
50
28
28
28
28
28
28
28
28
28
28
28
28
28
45
45
45
45
45
45
28
28
45
45
45
45
28
28
45
45
45
28
55
55
55
55
55
55
12
12
12
12
12
12
12
12
12
12
12
12
12
16
16
16
16
16
16
14
14
16
16
16
16
14
14
16
16
16
14
16
16
16
16
16
16
Yellow: special diameter D1+3mm due to thin walls.
are available on request.
Same-construction left-handed threads, special pitches and double-thread versions
30,3
44,9
40,8
40,8
41,3
40,8
41,3
40,8
41,3
40,8
41,3
56,9
52,8
52,8
52,3
52,8
52,3
52,8
52,3
75,0
72,8
69,5
69,5
69,5
69,5
95,0
92,8
89,5
89,5
89,5
112,8
109,5
109,5
109,5
149,5
149,5
149,5
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
6
6
6
6
6
6
6
6
6
6
6
6
6
8
8
8
8
8
8
6
6
8
8
8
8
6
6
10
10
10
8
10
10
10
10
10
10
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
4,1
4,1
4,1
4,1
4,1
4,1
3,5
3,5
4,1
4,1
4,1
4,1
3,5
3,5
4,7
4,7
4,7
4,1
4,7
4,7
4,7
4,7
4,7
4,7
49,4
40,8
98,4
80,0
88,0
79,5
87,4
78,8
86,7
59,7
65,7
44,5
128,6
88,9
178,5
88,0
122,5
66,9
93,2
115,8
145,3
207,8
299,8
206,7
157,0
126,3
159,0
230,0
331,8
229,2
170,7
248,6
358,6
248,0
279,2
402,9
278,8
64,6
105,5
179,5
140,8
153,4
141,2
154,0
141,0
153,9
102,5
112,5
132,1
275,6
179,1
355,2
178,1
230,2
129,7
168,5
321,3
372,0
406,1
628,1
407,9
296,3
401,9
468,4
510,1
789,8
512,6
562,8
619,6
951,3
616,9
827,0
1279,6
830,6
2
6
5
4
4
4
4
4
4
3
3
6
6
4
6
4
4
3
3
6
6
4
6
4
3
6
6
4
6
4
6
4
6
4
4
6
4
®
51
Nut dimensions table EM
EM
Wiper
®
DpM Nut
52
Spindle-Ø
h6
16
16
16
20
20
20
24
24
24
24
30
30
30
30
30
38
38
38
38
38
38
Dimensions
and
lead
16x5
16x10
16x16
20x5
20x10
20x20
25x5
25x10
25x20
25x25
32x5
32x10
32x10
32x20
32x32
40x5
40x10
40x20
40x20
40x20
40x40
2,38
2,38
2,38
3,175
3,175
3,175
3,5
3,5
3,5
3,5
3,5
4,5
6,35
6,35
6,35
3,5
6,35
6,35
8
9,52
8
Ball-Ø
Locking device
14,0
14,0
14,0
17,2
17,2
17,2
20,9
20,9
20,9
20,9
26,9
26,4
25,0
25,0
25,0
34,9
33,0
33,0
31,3
30,3
31,3
Core-Ø
Spindle
D1 g6
28
28
28
36
36
36
40
40
40
40
50
50
56
56
56
63
63
63
75
75
70
Centr.Ø
Wiper
80
110
110
90
105
130
90
105
130
150
100
140
140
180
190
108
150
175
200
200
240
L2
Total
length
10
10
10
11
12
12
12
12
12
12
13
20
20
20
20
15
25
25
25
25
25
L3
Groove
distance
L4
16
16
16
20
20
20
20
20
20
20
20
28
28
28
28
20
28
28
28
28
28
Groove
length
10
10
10
10
10
10
10
10
10
10
10
12
12
12
12
12
12
12
12
12
12
L6
Drilling
distance
bP9
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
5
5
5
5
5
5
5
5
5
6
6
6
6
6
6
6
6
6
Groove
Drill. Ø width
d
2,4
2,4
2,4
2,9
2,9
2,9
2,9
2,9
2,9
2,9
2,9
2,9
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
t
Groove
depth
10,4
7,9
5,3
20,9
13,0
8,6
25,9
16,1
10,8
10,7
28,6
32,9
51,8
39,3
26,2
31,6
58,4
44,5
59,7
74,3
39,6
Rating
Cdyn (KN)
15,2
11,0
6,9
32,1
18,4
11,6
42,5
24,2
15,2
15,3
53,5
54,4
75,5
54,8
34,2
68,4
97,1
70,8
87,6
104,8
54,3
Rating
Cstat (KN)
i
No. of
revolution
4
3
2
5
3
2
5
3
2
2
5
4
4
3
2
5
4
3
3
3
2
Nut dimensions table DpM
38
48
48
48
48
48
48
48
48
48
48
60
60
60
60
60
60
60
60
80
80
80
80
80
80
100
100
100
100
100
120
120
120
120
160
160
160
08.04.2008
40x40
50x5
50x10
50x20
50x20
50x30
50x30
50x40
50x40
50x50
50x50
63x5
63x10
63x20
63x20
63x40
63x40
63x50
63x50
80x10
80x10
80x20
80x20
80x40
80x60
100x10
100x10
100x20
100x20
100x40
120x10
120x20
120x20
120x40
160x20
160x20
160x40
DpM
9,52
3,5
7,5
7,5
8
7,5
8
7,5
8
7,5
8
3,5
7,5
7,5
9,52
7,5
9,52
7,5
9,52
6,35
7,5
12,7
12,7
12,7
12,7
6,35
7,5
12,7
12,7
12,7
7,5
12,7
12,7
12,7
12,7
12,7
12,7
75
75
75
75
82
75
82
75
82
75
82
90
90
90
95
90
95
90
95
105
108
125
125
125
125
125
128
150
150
150
150
170
170
170
210
210
210
240
150
170
230
240
320
320
400
400
390
390
120
190
240
330
410
420
400
400
200
200
285
330
420
460
210
210
280
360
430
215
290
370
450
300
380
460
25
25
28
28
28
28
28
28
28
28
28
28
32
40
40
40
40
40
40
35
35
40
40
40
40
40
40
50
50
50
40
50
50
50
50
50
50
28
28
28
28
28
28
28
28
28
28
28
28
28
45
45
45
45
45
45
28
28
45
45
45
45
28
28
45
45
45
28
55
55
55
55
55
55
12
12
12
12
12
12
12
12
12
12
12
12
12
16
16
16
16
16
16
14
14
16
16
16
16
14
14
16
16
16
14
16
16
16
16
16
16
Yellow: special diameter D1+3mm due to thin walls.
30,3
44,9
40,8
40,8
41,3
40,8
41,3
40,8
41,3
40,8
41,3
56,9
52,8
52,8
52,3
52,8
52,3
52,8
52,3
75,0
72,8
69,5
69,5
69,5
69,5
95,0
92,8
89,5
89,5
89,5
112,8
109,5
109,5
109,5
149,5
149,5
149,5
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
6
6
6
6
6
6
6
6
6
6
6
6
6
8
8
8
8
8
8
6
6
8
8
8
8
6
6
10
10
10
8
10
10
10
10
10
10
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
3,5
4,1
4,1
4,1
4,1
4,1
4,1
3,5
3,5
4,1
4,1
4,1
4,1
4,1
4,1
4,7
4,7
4,7
4,1
4,7
4,7
4,7
4,7
4,7
4,7
49,4
40,8
98,4
80,0
88,0
79,5
87,4
78,8
86,7
59,7
65,7
44,5
128,6
88,9
178,5
88,0
122,5
66,9
93,2
115,8
145,3
207,8
299,8
206,7
157,0
126,3
159,0
230,0
331,8
229,2
170,7
248,6
358,6
248,0
279,2
402,9
278,8
64,6
105,5
179,5
140,8
153,4
141,2
154,0
141,0
153,9
102,5
112,5
132,1
275,6
179,1
355,2
178,1
230,2
129,7
168,5
321,3
372,0
406,1
628,1
407,9
296,3
401,9
468,4
510,1
789,8
512,6
562,8
619,6
951,3
616,9
827,0
1279,6
830,6
2
6
5
4
4
4
4
4
4
3
3
6
6
4
6
4
4
3
3
6
6
4
6
4
3
6
6
4
6
4
6
4
6
4
4
6
4
®
53
Nut dimensions table DpM
DpM
Locking device
Wiper
54
16
20
20
24
24
30
30
38
38
38
38
48
48
60
60
60
08.04.2008
16x5
20x5
20x10
25x5
25x10
32x5
32x10
40x5
40x10
40x20
40x30
50x10
50x20
63x10
63x20
63x40
FG
h7
Spindle-Ø
h6
3,175
3,175
4,5
3,5
3,5
3,5
6,35
3,5
6,35
6,35
6,35
7,5
7,5
7,5
8
8
Ball-Ø
Centr.
Ø
32
40
40
45
45
52
56
65
65
65
65
80
80
95
95
95
D1 h7
No. of
Geome- holes
trical Ø
45
4
55
4
55
4
65
4
65
4
72
4
80
4
90
4
90
4
90
4
90
4
110
4
110
4
125
6
125
6
125
6
D4
Flange-Ø
Drill.Ø
6
7
7
9
9
9
11
11
11
11
11
14
14
14
14
14
60
70
70
84
84
90
100
110
110
110
110
135
135
150
150
150
D6
D5
Total
length
42
52
65
60
60
60
80
70
88
88
100
100
114
120
138
138
L2
Flange
width
12
12
12
15
12
15
15
18
18
18
18
20
20
20
20
20
L7
14,0
17,3
16,4
20,9
20,9
26,9
25,0
34,9
33,0
33,0
33,0
40,8
40,8
52,8
53,3
53,3
Core-Ø
Spindle
Thread
depth
8
8
8
8
8
8
8
10
10
10
10
10
10
10
10
10
L10
Distance
lubrication
6
6
6
7,5
6
7,5
7,5
9
9
9
9
10
10
10
10
10
L11
M6
M6
M6
M6
M6
M6
M6
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
Lubric.
connect.
M26x1,5
M35x1,5
M35x1,5
M40x1,5
M40x1,5
M48x1,5
M52x1,5
M60x1,5
M60x1,5
M60x1,5
M60x1,5
M75x1,5
M75x1,5
M90x1,5
M90x1,5
M90x1,5
Tread
M
11,7
17,0
20,5
25,9
16,1
28,6
51,8
37,2
58,4
30,2
29,9
98,4
61,4
128,6
97,7
50,4
Rating
Cdyn (KN)
14,6
25,3
26,3
42,5
24,2
53,5
75,5
83,2
97,1
44,1
44,7
179,5
103,2
275,6
192,5
87,3
Rating
Cstat (KN)
Revolutions
3
4
3
5
3
5
4
6
4
2
2
5
3
6
4
2
i
Nut dimensions table FG
Dimensions
and
lead
L7– 0.5
Wiper
bore for lubrication
®
Spindle-Ø
h6
16
16
20
20
24
24
30
30
38
38
48
48
60
60
80
80
04.04.2008
16x10
16x16
20x10
20x20
25x20
25x25
32x20
32x32
40x20
40x40
50x20
50x40
63x40
63x50
80x40
80x60
MFM
2,38
2,38
3,175
3,175
4,5
4,5
6,35
6,35
6,35
6,35
9,52
9,52
9,52
9,52
12,7
12,7
Geometr. Ø
Centr.
Ø
33
33
38
38
48
48
56
56
63
72
85
85
95
95
125
125
45
45
50
50
60
60
68
68
78
90
105
105
118
118
152
152
D4
D1g6
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
No. of
holes
D6
FlangeØ
58
58
63
63
73
73
80
80
95
110
125
125
140
140
180
180
D5
Drill.Ø
6,6
6,6
6,6
6,6
6,6
6,6
6,6
6,6
9
11
11
11
14
14
18
18
Fit
size
10
10
10
10
16
16
16
16
16
16
16
16
16
16
16
16
L1
Total
length
45
55
64
64
90
80
88
92
88
113
92
113
120
140
133
165
L2
14,0
14,0
17,2
17,2
20,4
20,4
25,0
25,0
33,0
33,0
40,3
40,3
52,3
52,3
69,5
69,5
Ball-Ø Core-Ø
Spindle
Flange
width
15
15
20
20
25
25
20
20
25
40
30
30
30
30
30
30
L7
40
40
30
30
42
42
30
30
30
41
30
30
20
20
30
30
Angle
W
Thread
depth
8
8
8
8
8
8
8
8
10
10
10
10
10
10
10
10
L10
neck
length
15
20
22
22
32,5
27,5
34
36
31,5
36,5
31
41,5
45
55
51,5
67,5
L12
Lubric.
connect.
M6
M6
M6
M6
M6
M6
M6
M6
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
M8x1
D7
7,9
5,3
16,9
8,6
22,3
15,0
39,3
26,2
44,5
29,5
84,8
56,7
63,8
63,3
107,6
106,6
Rating
11,0
6,9
25,1
11,6
31,3
19,9
54,8
34,2
70,8
43,8
131,2
81,6
104,6
103,4
187,8
185,6
Rating
Cdyn (KN) Cstat (KN)
Revolutions
3
2
4
2
3
2
3
2
3
2
3
2
2
2
2
2
i
Nut dimensions table MFM
Dimensions
and
lead
®
55
®
Miniature single nut
For exact outside diameter of spindles see page 45
2
L
SW
o = single nut
x = double nut
internally pre-loaded
5
6
5,5
14
o
600 N
900 N
40
8
6
5,5
17
o
700 N
1.300 N
M 14 x 1
40
8
6
5,5
17
o
900 N
1.500 N
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
DxP
D
h7
D
L
KGT 6 x 1
15
M 10 x 1
35
KGT 8 x 1
20
M 14 x 1
KGT 8 x 2
20
KGT 10 x 2
1
L
1
L
3
Any special leads and imperial threads can be provided on request.
58
C
dyn
C
stat
®
Miniature single nut without flange
on request
d (lubrication connection)
Wiper
DxP
D
1 g6
d
L
L
L
1
3
4
L
b
6
P9
t
L
i
o = single nut
x = double nut
5
C
dyn
C
stat
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
59
®
Miniature single nut with flange
Wiper
DxP
D
1 g6
D
4
D
5
D
6
L
1
L
2
L
5
L
7
L
10
L
11
Lub.
conn.
i
o = single nut
x = double nut
C
dyn
C
stat
KGT
6x1
12
18
3,3
24
11
15
–
4
–
–
*)
2
o
600 N
900 N
KGT
8x1
14
21
3,3
27
12
16
–
4
–
–
*)
3
o
700 N
1.300 N
KGT
8x2
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
60
*) = on request (special)
62
6
5
4
6
25
10
20
32
KGT 25x6
KGT 32x5
KGT 32x6
KGT 32x10
5
100
100
100
KGT 100x20
KGT 100x40
KGT 120x20
60
60
KGT 63x20
60
KGT 63x10
KGT 80x20
50
KGT 50x20
6
10
50
KGT 50x5
KGT 50x10
2
40
40
KGT 40x20
KGT 40x40
L3
12,7
12,7
12,7
12,7
9,52
6,35
9,52
7,5
3,5
9,52
9,52
6,35
3,5
6,35
4,5
3,5
4,5
3,5
3,175
3,175
3,175
Ball-Ø
S
D2
L4
1500
1600
1600
2000
2450
3000
3000
3000
3000
3000
3000
3000
3000
3000
3000
3000
3000
3000
3000
3000
3000
Limit
speed
(*1)
L
(*1) Speed limit due to
nut or bearing specifications
with oil lubrication
(grease lubrication -30 %)
6
6
6
6
5
5
3
5
4
6
40
40
KGT 40x5
KGT 40x10
5
6
20
25
5
5
No. of
revolut.
KGT 25x5
D3
KGT 20x10
16
20
KGT 16x5
KGT 20x5
Lead
max.
D4
Dimension
KGT
L1
Lx
D1
L2
951
790
790
628
291
197
131
179
105
64
142
149
83
75
69
65
55
51
32
32
25
Load
rating
C stat.
(KN)
'N
250
220
220
190
140
120
120
120
105
105
105
95
90
85
75
75
70
70
60
60
57
D1 g6
330
300
300
270
190
170
155
155
140
140
140
130
125
120
110
110
95
95
80
80
80
D2
170
135
135
125
95
85
83
72
65
73
73
62
54
55
49
49
43
43
35
35
30
D3 g6
D7
225
200
200
170
135
115
115
110
100
105
105
90
85
78
75
75
65
65
55
55
50
D4-0,2
D6
S
190
166
166
144
110
96
95
90
82
86
86
73
68
63
60
60
52
52
43
43
38
D5±0,2
33
33
33
26
20
18
15
15
15
15
15
15
15
15
15
15
11
11
10
10
10
D6
W°/2
22
22
22
17,5
13,5
11
9
9
9
9
9
9
9
9
9
9
6,6
6,6
5,5
5,5
5,5
D7
We recommend the use of screws of propoerty class 10.9 or higher
358
330
331
300
151
87
84
98
40
49
97
84
37
51
40
33
36
30
20
20
18
Load
rating
C dyn.
(KN)
D8
M
W°
290
260
260
230
165
145
136
136
122
122
122
110
105
100
93
93
82
82
68
68
68
D8±0,2
D5
220
195
195
155
110
105
105
105
92
85
85
80
75
70
65
65
58
58
52
52
45
DN
10
L1
15
15
15
103
79
61
68
67,5
67,5
50
50
66
56
41
L2
L4
17
13
13
13
13
12
12
16
45 20,5
40
40 16,5
40
35
35
35
35
28
28
28 12,5
L3
15
280
400
282
252
30
30
30
20
204,5 15
183,5 15
192,5 15
171
163,5 15
156
276
158
138
112
102
112
92
78
20
35
70
28
70 28,5
70 28,5
70
55 27,5
45
47 17,5
47 17,5
47 17,5
190,5 15 106,5 45 20,5
187
155,5 15
136,5 15
139,5 15
131,5 15
131,5 15
119
119
118,5 10
108,5 10
95,5
L
8x45°
8x45°
8xM16/23
8xM12/23
8xM12/23
12x30°
8x45°
8x45°
8xM10/20,5 12x30°
8xM8/15,5
8x45°
6xM8/16
8xM8/15,5
8x45°
6x60°
8x45°
8x45°
8x45°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
6x60°
W
6xM8/16
6xM8/16
8xM8/15
8xM8/15
6xM8/15
6xM8/15
6xM6/13
6xM6/13
6xM6/13
6xM6/13
6xM6/13
6xM5/10
6xM5/10
6xM5/10
M
We recommend lubrication with oil/air
mixture (oil mist).
The nuts require three times the lubrication
quantity of standard nuts.
The connection is provided with a check
valve to avoid return of the lubricant.
More information on request.
®
Driven nut
®
Spindle ends
KMT nuts
Lubrication – Lubricants
65
®
Standard spindle ends
Bearing
ZARF/LTN
66
Lock nut
®
Needle axial cylinder roller bearings
æ
2ANGEæ:!2&ææ,
Light duty range
Shaft
diameter
Code
Weight
Dimensions
Fixing
screws
DIN 9121)
10.9 Qty
Ratings
Limiting speed
Axial
rigidity
c
N/μm
al
n
n
oil
grease
rpm
rpm
g
kg
g
æ
æ
2ANGEæ:!2&ææ,
(EAVYæDUTYæRANGE
Shaft
diameter
Code
Weight
Dimensions
kg
Fixing
screws
DIN 9121)
10.9 Qty
Ratings
Limiting speed
Axial
rigidity
c
N/μm
al
n
n
oil
grease
rpm
rpm
g
g
67
®
Bearing
ZARN/TN
68
Lock nut
®
Range ZARN
Light duty range
Shaft
diameter
Code
Weight
Dimensions
Axial
rigidity
c
N/μm
Limiting speed
Ratings
al
n
kg
n
g
g
oil
grease
rpm
rpm
æ
Range ZARN
(EAVYæDUTYæRANGE
Sheft
diameter
Code
Weight
Dimensions
Axial
rigidity
c
N/μm
Limiting speed
Ratings
al
kg
n
g
n
g
oil
greae
rpm
rpm
69
®
Bush
Circlip
DIN 471
Rikula 2RS
Size
70
Bush
ø x ø x L4
Circlip
DIN 471
®
Bearing ZKLN/RS
KMT Shaft Nuts
Axial angular-contact ball bearings
æ
Double-sided action
2ANGEæ:+,.æxæ23
Table of dimensions. Dimensions in mm
Shaft
diameter
Code
Weight
Dimensions
Connection dimensions
Fixing screws
DIN 912
10.9 Qty
Ratings
Limiting
speed
Axial
rigidity
n grease
rpm
c
N/μm
g
kg
al
71
®
Bearing
ZKLF/2RS
Axial angular-contact ball bearings
æ
Double-sided action
2ANGEæ:+,.æxæ23
æ
Double-sided action, screw fixing
2ANGEæ:+,&æxæ23
Lock nut
Withdrawal slot
Shaft
diameter
Code
Weight
Dimensions
Connection dimensions
Fixing screws
DIN 912
10.9 Qty
Rating
Limiting
speed
Axial
rigidity
n grease
rpm
c
N/μm
g
kg
72
al
®
Shaft nut KMT
-ATERIALæ(IGHSTRENGTHæSTEELæSIMILARæTOæ3T%
Surface treatment: phosphatised, oiled
Locking pins: hard drawn brass
Adjusting screws: P6SS (ISO 2343/DIN 913),
hardness class 12.9 – 14.9
.UTæTHREADæTOLERANCEææ(æ)3/æ
Tolerance 6G is recommended for the shaft thread
The KMT shaft nut secures without damaging the shaft
The KMT nut is secured with three brass locking pins distributed 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.
FA = axial force
The KMT shaft nut locking system does not suffer from
material fatigue
Shaft nut
KMT/KMTA
Code
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.
Permissible
axial load
FA
KMT/KMTA
Tightening torque
for adjusting
screws, max.
KMT
Breakaway
torque1)
KMT/KMTA
The KMT shaft nut locking system is reliable
æ
æ
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.
sæLOADæISæNOTæTAKENæOFFæTHEæFLANKSæOFæTHEæNUTæTHREAD
sæTHEæNUTæISæNOTæDISTORTED
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.
74
1)
Applies for adjusting screws tightened to max.
tightening torque.
®
Shaft nuts KMT – Data
KMT nuts are to be used where simple fitting and
reliable locking with high accuracy are required. They
can be tightened and released using simple tools such
as open-ended spanners, adjustable spanners, hooked
spanners or impact spanners.
Shaft nut
thread
Code
Weight
Dimensions
Suitable hook
spanner
Code
G
Slotted nuts
Thread
d
Code
Weight
kg
Dimensions
Axial breaking
load FaB
75
®
æ
æ
æ
æ
æ
x
æ æPROTECTæSHAFTSæSPINDLESæCOLUMNSæANDæSCREWSæAGAINSTæ
contamination and damage and reduce the risk of accident
in this area.
x
æ æCANæBEæUSEDæINæALLæSWARFPRODUCINGæANDæSWARFLESSæ
machines, etc.
æxæAREæMADEæOFæHIGHQUALITYæHARDENEDæSPRINGæSTEELæANDæ
have optimum characteristics due to their special method
of manufacture.
æxæAREæDESIGNEDæINæAæSPIRALæSHAPEæANDæAREæMANUFACTUREDæ
in the diameters and installation lengths shown below.
Different strip widths guarantee faultless operation for the
different stroke lengths.
x
æ æACHIEVEæVERYæGOODæSEALINGæBETWEENæTHEæINDIVIDUALæTURNSæ
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 movements 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.
æ
.
æ OæMAINTENANCEæISæNECESSARYæ(OWEVERæITæISæRECOMMEND
ed that cleaning be carried out depending upon the
degree of contamination and that a light film of oil be
subsequently applied.
æ
&æ ORæFUNCTIONALæREASONSæITæISæNECESSARYæWHENæENQUIRINGæORæ
ORDERINGæTOæSTATEæWHETHERæTHEæ(%-!æSPIRALæSPRINGSæAREæTOæ
be fitted horizontally or vertically. When fitted horizontally, the dimension Da is increased by ca. 3–5 mm.
æ
(
æ %-!æSPIRALæSPRINGSæHELPæTOæMAINTAINæTHEæPRECISIONæOFæYOURæ
machines and also increase their life.
Can be fitted horizontally and vertically
Design: spring steel, blued, stainless on request.
Explanation of drawing:
d
D1
Da
Lmin.
Lmax.
æ
æ
= max. diameter of the part to be covered
= inside diameter of spring
= outside diameter of spring
= minimum installation length
= maximum installation length
= outside diameter of the centring flange
(D1 – 2 mm)
$&2 = inside diameter of the centring flange
(Da + 4 mm)
Stroke = largest possible travel
$&1
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.
76
Spiral spring
cover
for KGT-Type
®
All dimensions in mm
Type
Type
77
®
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 operating 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 removed 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 lubrication. If grease
nipples are specified for re-lubrication purposes, damage
may also be expected if the maintenance 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 heating of the ball
screw to occur due to the improved heat transfer. Furthermore any excess oil is removed by the wiper.
Basically, circulating oils with active ingredients for increasing the corrosion protection and the ageing resistance
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 accordance 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 improving 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.
78
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 avoidance 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 according 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 saponifications should be avoided. Consultation with the manufacturer 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.
®
Lubricants
Viscosity
ISO
Designation
DIN 51 517
No ISO
norms
Aralub HL 2, LF 2 multi-purpose grease
Avia multi-purpose grease
Avilub special grease EP
Avilub special grease A
Viscosity
ISO
Designation
DIN 51 517
No ISO
norms
Viscosity
ISO
Designation
DIN 51 517
No ISO
norms
79
®
Trapezoidal screws
Example 1:
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.
Example 2:
Co-ordinate table
æ
80
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.
&æ ORæSITUATIONSæREQUIRINGæACCURATEæPROCESSINGæITæISæPREFERABLEæ
to use ball screws.
Design solution
The trapezoidal spindle is mounted in a needle axial
CYLINDERæROLLERæBEARINGæ:!2&4.æATæTHEæDRIVEæENDæANDæ
INæAæ:!2&,æBEARINGæATæTHEæOTHERæENDæ4HEæSTEPPEDæ
SHAFTæDISCæOFæTHEæ:!2&,æ4.æBEARINGæPROVIDæESæOPTIMUMæ
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 positions
is not necessary here, as the lubricant is allowed to
escape.
®
Example 3:
Entrance gate opener
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).
Example 4:
Ventilation flap
Opening and closing a skylight or ventilation
flap.
The gearing with drive and fittings is mounted
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.
81
®
Trapezoidal screw spindles
Thread
Sold by the metre, spun
Trapezoidal thread to DIN 103, tolerance class 7e
Standard lengths are 1m, 1.5m, 2m, 3m
Other lengths possible on request
The adjacent materials are available from us as standard
Other materials and tolerances on request
Two quality classes available (see table below)
All sizes can also be supplied as left-hand thread
Ordering example:
Screw spindle Tr70 x 10 x 2m long, left-hand lead, spun GK2
Thread
Quality classes
Quality classes to Kammerer norm
Other accuracies possible on request.
Lead variation
Straightness
Outside ø tolerance
æ
82
&URTHERæDIMENSIONSæONæREQUEST
®
Trapezoidal screw spindles
Thread
Sold by the metre, rolled
Trapezoidal thread to DIN 103, tolerance class 7e
Standard lengths are 1m, 1.5m, 2m, 3m
Other lengths possible on request
Material: C15
Two quality classes available (see table below)
Ordering example:
Screw spindle Tr20 x 4 x 2m long, right-hand lead, rolled GK1
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Thread
8 x 1,5
10 x 2
10 x 3
12 x 2
12 x 3
14 x 3
14 x 4
16 x 4
18 x 4
20 x 4
22 x 5
24 x 5
Right
X
X
X
X
X
X
X
X
X
X
X
X
Left
X
X
X
X
X
X
X
X
X
X
X
X
Thread
Gewinde
Tr 26 x 5
Tr 28 x 5
Tr 30 x 6
Tr 32 x 6
Tr 36 x 6
Tr 40 x 7
Tr 44 x 7
Tr 50 x 8
Tr 52 x 8
Tr 60 x 9
Right
Rechts
X
X
X
X
X
X
X
X
X
X
Left
Links
X
X
X
X
X
X
X
X
X
Quality classes to Kammerer norm
Quality classes
Other accuracies possible on request.
Lead variation
Straightness
Flaking
–
not permissible
permissible
83
®
Rolled screw spindles
The rolling of threads is an economic manufacturing
process. Based on swarfless cold deformation, 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:
æ
æ
æ
æ
æ
sææHIGHERæRESISTANCEæTOæWEARæTENSIONALæSTRENGTHæANDæ
bending strength
sææHIGHERæSURFACEæQUALITYæOFæTHEæDIEBURNISHEDæFLANKSæ
of the thread
sææLESSæCORROSION
sææHIGHæTHREADæPROFILEæACCURACYæDEPENDINGæUPONæTHEæ
quality of the rolling tool
sææHIGHæFLANKæDIAMETERæACCURACYæPARALLELISMæDUEæTOæ
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.
84
The disadvantages of rolled compared with
spun trapezoidal screws:
sææVERYæHIGHæTOOLINGæANDæSETUPæCOSTS
sæææSTRONGæINFLUENCEæOFæTHEæMATERIALæCHARACTERISTICSæONæ
the accuracy of the lead (changes with each batch
of material)
sææSPINDLESæWITHæLARGERæFORMæELEMENTSæTHANæTHEæOUTSIDEæ
diameter of the thread cannot be rolled or can only
be rolled at great expense.
sææTOOæHIGHæAæSURFACEæQUALITYæDUEæTOæPOLISHINGæOFæTHEæ
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 lubrication is required (e.g. with steel or bronze nuts).
sææNOTæSUITABLEæFORæTHEæMANUFACTUREæOFæINDIVIDUALæCOMponents and small production runs, as the affect on
the thread rolling process (machine and tooling) is
cost and parts-intensive.
®
Trapezoidal screw nuts
Round nut, short or long
4RAPEZOIDALæTHREADæTOæ$).ææTOLERANCEæCLASSæ(
Max. runout error up to Tr 22x5 = 0.2 mm; from Tr24x5 = 0.3 mm
These nuts are provided in the adjacent materials
Short design: L = 1.5 x nominal diameter
Long design: L = 2 x nominal diameter
Plastic
Ordering example:
Round nut Tr 44x7, left-hand, made from CuSn12, short, in accordance with Kammerer catalogue
Short design
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
æ
Thread
8 x 1,5
10 x 2
10 x 3
12 x 3
14 x 4
16 x 4
18 x 4
20 x 4
22 x 5
24 x 5
26 x 5
28 x 5
30 x 6
32 x 6
36 x 6
40 x 7
44 x 7
48 x 8
50 x 8
60 x 9
70 x 10
80 x 10
90 x 12
D1
18
22
22
26
30
36
45
45
50
50
60
60
60
60
75
80
80
90
90
100
110
120
130
Long design
L
12
15
15
18
21
24
27
30
33
36
39
42
45
48
54
60
66
72
75
90
105
120
135
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Thread
8 x 1,5
10 x 2
10 x 3
12 x 3
14 x 4
16 x 4
18 x 4
20 x 4
22 x 5
24 x 5
26 x 5
28 x 5
30 x 6
32 x 6
36 x 6
40 x 7
44 x 7
48 x 8
50 x 8
60 x 9
70 x 10
80 x 10
90 x 12
D1
18
22
22
26
30
36
45
45
50
50
60
60
60
60
75
80
80
90
90
100
110
120
130
L
16
20
20
24
28
32
36
40
44
48
52
56
60
64
72
80
88
96
100
120
140
160
180
85
®
Flanged nut, short or long
Max. runout error up to Tr 22x5 = 0.2 mm; from Tr24x5 = 0.3 mm
These nuts are provided in the adjacent materials
Two 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
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
æ
86
8
10
10
12
14
16
18
20
22
24
26
28
30
32
36
40
44
48
50
60
70
80
90
x 1,5
x 2
x 3
x 3
x 4
x 4
x 4
x 4
x 5
x 5
x 5
x 5
x 6
x 6
x 6
x 7
x 7
x 8
x 8
x 9
x 10
x 10
x 12
D1
22
25
25
28
28
28
28
32
32
32
38
38
38
45
45
63
63
72
72
88
88
118
118
D4
32
34
34
38
38
38
38
45
45
45
50
50
50
58
58
78
78
90
90
110
110
140
140
D5
4
5
5
6
6
6
6
7
7
7
7
7
7
7
7
9
9
11
11
13
13
15
15
D6
40
42
42
48
48
48
48
55
55
55
62
62
62
70
70
95
95
110
110
130
130
163
163
Plastic
L (short)
12
15
15
18
21
24
27
30
33
36
39
42
45
48
54
60
66
72
75
90
105
120
135
L (long)
16
20
20
24
28
32
36
40
44
48
52
56
60
64
72
80
88
96
100
120
140
160
180
L1
L7
4
5
5
6
9
12
15
8
8
8
8
8
8
10
10
12
12
14
14
16
16
18
18
8
10
10
12
12
12
12
12
12
12
14
14
14
16
16
16
16
18
18
20
20
22
22
®
Hexagonal nut
Not suitable for motion screws
Material: 9SMn28K
Ordering example:
Hexagonal nut Tr 10x3, right-hand, in accordance with Kammerer catalogue
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
æ
Thread
8 x 1,5
10 x 2
10 x 3
12 x 3
14 x 4
16 x 4
18 x 4
20 x 4
22 x 5
24 x 5
26 x 5
SW
14
17
17
19
22
27
27
30
32
36
41
L
12
15
15
18
21
24
27
30
33
36
39
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Tr
Thread
28 x 5
30 x 6
32 x 6
36 x 6
40 x 7
44 x 7
48 x 8
50 x 8
60 x 9
70 x 10
SW
41
46
46
55
65
65
75
75
90
90
L
42
45
48
54
60
66
72
75
90
105
87
®
Technical data
Metric ISO trapezoidal thread to DIN 103
Nut thread
Thread dimensions in mm
Thread
designation
Bolt thread
Flank ø
d2 = D2
DxP
For lead P in mm
Dim.
Core ø
Bolt
d3
Nut
D1
Outside
ø
Thread
depth
D4
h 3 = H4
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 · ac)
Outside Ø of nut thread . . . . . . . . . . . . . . D4 = d + 2 · ac
Core Ø of nut thread . . . . . . . . . . . . . . . . . . . D1 = d – P
Thread flank Ø . . . . . . . . . . . . . . . . d2 = D2 = d – 0,5 · P
Depth of bolt
and nut threads . . . . . . . . . . . . .h3 = H4 = 0,5 · P + ac
Flank overlap . . . . . . . . . . . . . . . . . . . . . . . .H1 = 0,5 · P
Height of tooth tip . . . . . . . . . . . . . . . . . . . z = 0,25 · P
Tip clearance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ac
Rounding . . . . . . . . . . . . . . . . . . . . . . . . . . . . R1 and R2
Three chisel width . . . . . . . . . . . b = 0,366 · P – 0,54 · ac
Flank angle . . . . . . . . . . . . . . . . . . . . . . . . . . . . A = 30°
Ph Lead: Distance along the line of the
flank diameter between adjacent flanks
of the same orientation of the same
thread.
Single and multi-start threads
single-start
Lead = 2 . Pitch
Lead = 3 . Pitch
Pitch
Pitch
Pitch = Lead
88
P Pitch: Distance along the line of the
flank diameter between adjacent flanks
of the same orientation.
three-start
two-start
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.
®
Thread diameters and leads
Dimensions in mm
Nominal thread diameter d
Series
Series
Series
1
2
3
The size of thread can be chosen
from the thread and lead table.
Lead P of the single-start trapezoidal thread
&ORæEXAMPLE
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 identified 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 associated with the nearest diameter.
Permissible sliding speeds (guide values):
Material
Sliding speed in m/s
referred to flank Ø
CuSn and CuAl alloy/steel
Cast iron
permissible surface compression in N/mm
GS, GTW
2
0,1
0,2
0,3
0,4
0,5
19,3
18,6
18,0
17,3
16,6
5,8
5,6
5,4
5,2
5,0
9,7
9,3
9,0
8,7
8,3
0,6
0,7
0,8
0,9
1,0
16,0
15,3
14,6
14,0
13,3
4,8
4,6
4,4
4,2
4,0
8,0
7,7
7,3
7,0
6,7
1,1
1,2
1,3
1,4
1,5
12,6
12,0
11,3
10,6
10,0
3,8
3,6
3,4
3,2
3,0
6,3
6,0
5,7
5,3
5,0
1,6
1,7
1,8
1,9
2,0
9,3
8,6
8,0
7,3
6,6
2,8
2,6
2,4
2,2
2,0
4,7
4,3
4,0
3,7
3,3
2,1
2,2
2,3
2,4
2,5
6,0
5,3
4,6
4,0
3,3
1,8
1,6
1,4
1,2
1,0
3,0
2,7
2,3
2,0
1,7
2,6
2,7
2,8
2,9
2,6
2,0
1,3
0,6
0,8
0,6
0,4
0,2
1,3
1,0
0,7
0,3
89
®
Max. loading of trapezoidal screws referred to the nut length
æ
4
æ HESEæVALUESæDOæNOTæINCLUDEæANYæSAFETYæMARGINæ&URTHERMOREæBUCKLINGæMUSTæBEæTAKENæINTOæACCOUNTæ
Based on a surface compression of 10 N/mm2
Length of nut
90
F in N/dyn
Length of nut
®
Efficiency of trapezoidal screws
Two-start
Single-start
cast iron
dry
cast iron
lubricated
CuSn, CuZn
dry
CuSn, CuZn
lubricated
plastic
dry
plastic
lubricated
cast iron
dry
cast iron
lubricated
CuSn, CuZn
dry
CuSn, CuZn
lubricated
plastic
dry
plastic
lubricated
The efficiency of trapezoidal spindles is significantly less
than that of ball screw spindles due to the sliding friction.
Efficiency in %
ball screw
(OWEVERæTHEæTRAPEZOIDALæSCREWæISæTECHNICALLYæSIMPLERæ
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.
&ORæANæEXACTæCALCULATIONæSEEæ0AGEææONWARDS
&RICTIONæVALUESæSEEæ0AGEæ
conventional trapezoidal spindle
Lead angle in degrees
91
®
Critical bending speed – Diagram
Critical bending speed ncr [rpm]
æ
.
92
&ORæANæEXACTæCALCULATIONæSEEæ0AGEææONWARDSæ&LANKææFORæTRAPEZOIDALæSPINDLESæISæTOæBEæTAKENæINTOæACCOUNTæSEEæ0AGEæ
Note max. sliding speed at the flanks, see Page 94
®
Buckling – diagram
&ORæANæEXACTæCALCULATIONæBUCKling factor), see Page 94 onwards.
Characteristic diameter for trapezoidal
spindles is to be taken into account,
see Page 88.
93
®
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 length
Lm
&æ
P
pzul.
d2
(1
z
= nut length required [mm]
æAXIALæLOADINGæFORCEæ;.=
= thread lead [mm]
= permissible surface compression [N/mm2]
= flank diameter [mm]
= thread bearing depth [mm] (0.5 x P)
= number of starts
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
Pvorh. = existing surface compression [N/mm2]
&æ æAXIALæLOADINGæFORCEæ;.=
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
Sliding speed
vg
n
d2
= sliding speed [m/s]
= rotational speed [rpm]
s
n
P
= feed speed [m/min]
= lead [mm]
Screw feed speed
Material:
Steel
CuSn alloy
CuAl alloy
Plastic PA
94
Sliding speed
[m/s]
1,5
1,5
1,5
0,6
pzul.
N/mm2
10
10
10
1
Approximate values for the permissible surface
compression for sliding screws. Exact particulars
can be requested from the material manufacturers.
®
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
&æ æAXIALæLOADINGæFORCEæ;.=
P
= thread lead [mm]
H
= efficiency
H’ = efficiency
Efficiency
H
H’
A
R
= efficiency (torque to linear force)
= efficiency (linear force to torque)
= lead angle [°]
= friction angle [°]
A
P
d2
= lead angle [°]
= thread lead [mm]
Lead angle
æ
&RICTIONæANGLE
R
= friction angle [°]
μG = see table below
The thread is self-locking
if pitch angle < friction angle
Drive power
Pa = drive power [kW]
Mta = drive torque [Nm]
n
Nut made from
Cast iron GC
Steel
Bronze CuSn
Plastic
&RICTIONæVALUESæFORæCOMMONæNUTæMATERIALS
μG
dry
0,18
0,15
0,1
0,1
lubricated
0,1
0,1
0,05
0,05
These values can be affected by lubrication,
roughness, loading, etc.
95
®
Calculations
Critical bending speed
ncr
d2
&æ
la
= critical speed due to weight and length
of spindle [rpm]
= flank diameter of thread [mm]
æWEIGHTæOFæTHEæUNSUPPORTEDæSPINDLEæLENGTHæ;.=
= distance between bearings [mm]
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.
Permissible speed
nzul. = permissible speed [rpm]
ncr = critical speed due to weight and length
of spindle [rpm]
fkb = correction factor for deflection
0.8 = safety factor
fkb = 0,32 (case 1)
fkb = 1,0 (case 2)
fkb = 1,55 (case 3)
fkb = 2,24 (case 4)
Correction factor fk for calculating the permissible speed.
96
®
Calculations
Calculating the buckling force
&Kn
d3
fk
LK
= buckling force for the spindle [N]
= spindle core diameter [mm]
= correction factor for type of mounting
= unsupported spindle length [mm]
The buckling force of the screw spindle is dependent upon the unsupported spindle length
and the core diameter of the spindle.
fk = 0,25 (case 1)
fk = 1,0 (case 2)
fk = 2,0 (case 3)
fk = 4,0 (case 4)
Correction factor fk for taking into account the type of mounting.
97
®
®
Questionnaire Part 1
Customer:
Address:
Telephone:
Department:
New design: ;
Enquiry dated:
Customer No:
Telex:
Contact:
Re-design: ;
Order dated::
Order confirmation dated:
Customer drawing No:
No:
No:
Standard spindle, type:
Quantity
Call-off of:
per order, or
Order No:
dated:
dated:
dated:
items
monthly, yearly
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)
æ
æ
1. Operating data
1.1 Drive via spindle shaft ; nut ;
Tension:
æ3TATICæMAXæLOADINGæAXIALæ&a)
1.3 Dynamic max. loading:
Tension:
æ.ONAXIALæLOADINGæ&r =
æ .æ&p =
N, Compression:
N, Compression:
N, r =
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 =
1.8 Max. speed: nmax =
rpm
1.9 If the loads or speeds should vary, please provide details in the table below.
Collective load
Type of loadæ
&Aæ
(N)
1.10 Utilisation factor: fn =
104
Næ ORæ Væ
(rpm)
(mm/min)
Sæ ORæ Q
(mm)
(%)
ball screw duty (h)
machine duty
N
N
mm
rpm
®
Questionnaire Part 2
1.11 Spindle mounting
1.12 Distance between bearings:
1.13 Installation orientation: vertical ;
1.14 Max. permissible play:
1.15 Required rigidity:
1.16 Permissible no-load torque:
1.17 Required life:
2.0
2.1
2.2
2.3
2.4
2.5
Operating conditions
Dust/dirt ;
Seal type: Bellows ;
Operating temperature:
Type of lubrication:
Unusual operating conditions:
horizontal ;
at an angle of
operating hours,
Moisture ;
Telescopic spring ;
°C, Ambient temperature
Plastic wiper ;
mm
degrees
mm
N/μm
Nm
x 106 revolutions
influence of chemicals ;
Felt wiper ;
°C
3.0 Characteristic data of spindle
3.1 Required nominal diameter ø A:
3.2 Lead P:
mm
3.3 Lead direction: right-hand ;
left-hand ;
3.4 Permissible lead variation Δp/300 mm at 20 °C
3.5 Δp/thread length at 20 °C
3.6 Permissible lead variation according to drawing No:
3.7 Actual lead variation diagram required: ;
3.8 Max. wobble error:
3.9 Thread length:
3.10 Total length:
3.11 Spindle in tension ;
Compression ;
pre-loaded at Fv =
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:
3.17 Accuracy class:
4.0 Characteristic data of nut
4.1 Max. length:
4.2 Max. diameter:
4.3 Housing to drawing No:
4.4 Single nut ;
max. axial play
4.5 Double nut: Type of construction:
4.6 Max. axial displacement δa =
4.7 Max. reversal span
δu =
4.8 Material:
4.9 Material No:
4.10 Surface treatment:
4.11 Hardness:
4.12 Ball screw surface:
4.13 Accuracy class:
Checked and approved (customer)
mm
μm
mm
mm
mm
mm
N
μm
mm
mm
pre-loaded at Fv =
μm at Fva =
μm at Fva =
to ISO, DIN:
Quality norm:
N
N
N
Depth of hardening zone:
Checked (Kammerer)
105
®
106
®
ERIKS Aandrijftechniek bv- (Elmeq)
Broeikweg 25
NL 2871 RM Schoonhoven
Phone: 0031-182/303462
Fax:
0031-182/386920
E-mail: info@eriks-at.nl
Internet: www.eriks-aandrijftechniek.nl
107
®
Notes:
108
®
Notes:
109
®
Notes:
110

Kammerer catalogue

Transcription

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