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Manufactured using BS&A’s PSF Technology™
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FineLine Ball Screws
FineLine Ball Screws were developed
by BS&A (previously known as Warner
Linear) in Wolfschlugen, Germany, and
have been sold in Europe since 1999.
The screws have been successfully de-
ployed in high-precision applications in
transporation, manufacturing, health, fit-
ness, robotics, plastics and packaging
industries. BS&A’s PSF Technology™
enables us to manufacture ball screws
with accuracy and performance in the
same class as precision ground screws,
yet without the extreme expense of
grinding processes.
Exclusive PSF Technology™
Precision Screw Forming (PSF) Tech-
nology is based on a proprietary pro-
cess of precision roll forming. Through
years of research, development and
partnering with steel suppliers and
equipment manufacturers we have de-
• Quiet operation: High degree of ac-
curacy and exceptional surface finish
assure quiet operation.
• Consistent running torque: Precise
screw cylindricality and ball-track
roundness (max. deviation of 3 to
6 µm), both of which are necessary for
consistent running torque in critical
applications such as machine tool
slides.
• Preloads: Can be supplied with cus-
tomer-specified preloads from zero to
13% of the dynamic load rating.
• Flanges and Finish Machining:
Available with flanged and non-
flanged nut assemblies and machined
standard end journals.
veloped a CNC-based rolling process.
At the heart of the process is the ability
to dynamically control both roller dies
as well as other variables in the manu-
facturing process. The end result of this
German-engineered process is the pro-
duction of highly cost effective rolled
product with capabilities equaling those
normally attributed only to ground screws.
Features and Benefits
• Accuracy: Available in ISO accuracy
grades P3 and P5 (permissible travel
variation of 12 µm/300 mm and 23µm/
300 mm, respectively), as well as in
transport grades T5 and T7.
• Smooth operation: Made of high car-
bon alloy steel that we induction
harden, stress relieve, and then pol-
ish to insure excellent operating
smoothness.
The high precision alternative to costly ground ball screws.
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1Table of ContentsBS&A FineLine Ball Screws
Product
Specifications
Pages 7-19
Technical
Overview
Pages 2-6
BS&A FineLine Ball Screws
Table of Contents
Engineering
Reference
Pages 20-28
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○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
New
Technical Overview & Functional Highlights
Precision Screw Forming Technology™ ...................................3
Accuracy & Precision Classes ...................................................4
Preload Classes .........................................................................5
Ball Recirculation Techniques....................................................6
FineLine Ball Screws Product Specifications
Metric Unit Sizes
Part Numbers..............................................................................8
FineLine Ball Screw Assembly Availability ................................9
BS&A’s Ball Nut Types ..............................................................9
Standard Flanged Ball Nuts - FK & FH ..................................10
Standard Threaded Ball Nuts - ZG .........................................12
Flanged Ball Nuts - FL .............................................................14
Standard End Journals.............................................................16
English Unit Sizes
Part Numbers............................................................................18
FineLine Ball Screw Assembly Availability ..............................18
Threaded Ball Nuts - ZG..........................................................19
Flanged Ball Nuts - FK & FL ...................................................19
Engineering Reference
Efficiency & Torque ..................................................................21
Functional Life ..........................................................................22
Speed Limitations .....................................................................23
Buckling ....................................................................................24
Rigidity ......................................................................................25
Lead Accuracy ..........................................................................26
Lubrication ................................................................................27
Materials ...................................................................................27
Glossary ....................................................................................28
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© Danaher Motion2 Technical Overview
Technical Overview
& Functional Highlights
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BS&A FineLine Ball Screws 3Technical Overview
TechnicalOverview&
FunctionalHighlights
Precision Screw Forming Technology™
BS&A’s patented, German-engineered
Precision Screw Forming (PSF) Tech-
nology has created a higher perform-
ing ball screw, combining outstanding
precision—traditionally only associated
with ground screws—with the manu-
facturing efficiency of rolled processes.
The result is an affordable ball screw
with highest precision and outstanding
performance.
BS&A FineLine ball screws are equal
in accuracy and performance to ground
screws of the same accuracy class,
but with harder grain structures (see
inset), lower costs, and short manu-
facturing times (provides significantly
reduced lead times for our customers).
PSF Technology consistently produces
screws with accuracies ranging up to
P3 class tolerances (ISO 3408 stan-
dard), a dramatic improvement over
existing rolled manufacturing processes
that typically produce only transport-
grade screws (up to class 7). PSF
Technology brings affordable precision
to a range of new applications.
What is PSF Technology?
Precision Screw Forming is an exact-
ing manufacturing process that results
in a superior ball screw. First, high car-
bon alloy steel blanks are processed
into screws of length up to four meters
(over 13 feet) in a special CNC-con-
trolled, dual-movable-die, cold-forming
machine. Second, the screw forms are
induction-hardened and stress-relieved.
Next, the screws are polished to pro-
duce a ball track with surface tough-
ness superior to a ground screw. Fi-
nally, the ball screw is mated with its
nut (loaded to user specifications), in-
spected and tested to customer re-
quirements. The result is a high preci-
sion, high quality ball screw/nut assem-
bly.
What are the Benefits of PSF
Technology?
Here are just some of the benefits as-
sociated with ball screws made using
PSF Technology:
1. FineLine ball screws offer low cost,
high precision performance in ap-
plications typically requiring ground
screws. FineLine also offers the op-
portunity for greater precision in ap-
plications where ground screws have
been too expensive to consider.
2. Responsive manufacturing & delivery
times: PSF Technology is a fast, non-
batch manufacturing process, with
delivery times of less than two weeks,
compared with the typical 2-3 month
lead times of ground ball screws.
3. No hard spots: The PSF process
does not expose hard spots
(“corns”) as grinding does. Hard
spots can mar ball surfaces and
shorten screw life by up to 20%.
4. Quieter running: The superior sur-
face finish of FineLine ball screws
gives smooth operations with mini-
mal noise.
FineLine Ball Screws – Better Grain Structures
In addition to equaling some of the top accuracy classes of ground screws,
our FineLine Ball Screws offer a distinct advantage over ground screws in
the screw’s arch. Screw rolling displaces grains, producing arch-shaped
grain structures, while grinding removes material and leaves asperities
exposed in the grain structure. FineLine rolled screws thus have increased
rust resistance, and a stronger, arched grain structure that induces hard-
ness under the surface of the screw.
FineLine Ball Screws with
PSF Technology
Arched grain provides in-
creased strength, hardness and
durability, resulting in reduced
friction and increased life.
Typical Ground Ball Screw
Grinding the screw reduces the
integrity of the steel and leaves
exposed asperities in the grain
structure, which can reduce
efficiency and useful life.
Micrograph shows
smooth, arched grain
structure of a screw
manufactured using
PSF Technology.
Profile of a
rolled PSF
Technology
screw
Micrograph shows grain
structure of a ground
screw.
Profile of a
ground
screw
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© Danaher Motion4 Technical Overview
Accuracy & Precision Classes
Accuracy is a measure of how closely
a motion system will approach a com-
mand position. Perfect accuracy, for
example, means that advancing a ball
nut a precise amount from a given
point on the screw always requires ex-
actly the theoretically predicted num-
ber of revolutions.
Accuracies may be specified by users
in two ways.
• Standards have been developed for
simplicity in grouping sets of accura-
cies. Tolerance classes have been
established by ISO/DIN for the pur-
pose of easily describing lead accu-
racies for ball screws.
• Absolute terms may define accura-
ciessuchas.0005in/ftdeviation(typi-
cally shown as tolerances on a
drawing).
FineLine ball screws are produced in
two main tolerance classes: T (trans-
port) and P (positioning). Transport
grade ball screws are used in applica-
tions requiring only coarse movement
or those utilizing linear feedback for
position location. As such, most trans-
port grade screws are provided with
nuts having backlash (T7 grade screws
cannotbesuppliedwithpreloadednuts).
Precision grade ball screws are used
where repeatable positioning within mi-
crons is critical, without the use of a
linear feedback device.
Differences between P & T grades are
highlighted in the graph above. T grade
transport screws allow greater cumula-
tive variation over the useful length of
the screw. P grade positioning screws
contain accumulation of lead error to
provide precise positioning over the
screw’s entire useful length.
Position grade screws are used in appli-
cations such as CNC milling machines,
medical imaging equipment, and lens
grinding devices. In contrast, transport
grade screws are used to drive door
actuators or assembly line diverter
gates.
For additional information, see page 26
in the engineering reference section.
ssalCecnareloT
noitairavlevartelbissimreP
mm003nihtiw
nihtiwnoitairaV
2(noitulovereno πππππ )dar
]mµ[ ].ni[ ]mµ[ ].ni[
3P 21 5000. 6 2000.
5P 32 9000. 8 3000.
5T 32 9000. 8 3000.
7T 25 0200. 21 5000.
Allowable Variation Per Tolerance Class
Usable Length of Ball Screw
0
300
600
900
1200
1500
1800
0 315 mm 1m 2m 3m 4m 5m
P3 P5 T5 T7
PermissibleVariation[µm]Cumulative Lead Variation Over Usable Length
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BS&A FineLine Ball Screws 5Technical Overview
TechnicalOverview&
FunctionalHighlights
Preload Classes
Clearance Grade (Type Z2)
(No Preload)
Preload (Type Z1)
(Lightly preloaded)
Precise Preload (Type Z0)
(Precisely preloaded to
customer specifications)
Ph Ph+ Ph Ph
F
applied
No Preload
Ball bearings are undersized, thereby
creating clearance between the nut
and screw.
Preloaded
Oversized balls slightly larger than
the ball groove space are used to
provide four points of contact.
Precise Preload
The lead is offset by an amount, ∆Ph,
to preload with two points of contact
around the balls as shown.
FineLine Ball Screws are available in three preload classes: Clearance Grade (no
preload), Preload (lightly preloaded with four points of contact) and Precise Preload
(preloaded with two points of contact to exact customer specifications).
• Offers zero backlash between screw
and nut.
• The preload is approximately 5% of
dynamic load capacity.
• Typically used for positioning appli-
cations where repeatability is critical.
(Available with FK, FH & ZG style nuts.)
• Offers zero backlash between screw
and nut.
• The preload is approximately 10% of
dynamic load capacity, but can range
from 2% to 13% as specified by cus-
tomers. Drag torque is controlled
within a designated range.
• Typically used for positioning appli-
cations where repeatability and high
stiffness are required (high stiffness
allows for high load carrying with
minimum deflection).
(Available only with FL nut.)
• Axial play is present between screw
and nut, which negatively affects re-
peatability.
• Introduces no additional drag torque.
• Lead accuracy is unaffected, repeat-
ability is approximately equal to back-
lash amount. (Typical maximum
backlash is .09 to .18 mm, depending
on size.)
• Typically used for transport applica-
tions or vertical applications where
low drag is desirable.
(Available with FK, FH & ZG style nuts.)
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© Danaher Motion6 Technical Overview
Ball Recirculation Techniques
A critical aspect of ball nut design is
the manner in which the ball bearings
are recirculated through the nut.
BS&A has done extensive research on
ball nut design, and has engineered
two internal return systems: the single-
liner ball return system and the end-
cap ball return system. Internal sys-
tems are compact, offer no protrusions
to complicate mounting, are less likely
to be damaged, and are designed to
optimize ball circulation and rotational
speed.
The single-liner design allows the balls
to travel one rotation about the screw
before being diverted into the insert
and back one thread pitch. Four or
more liners are used to provide the
necessary number of loaded turns to
achieve the desired load capacity. Suc-
cessive liners are typically staggered
circumferentially about the body of the
nut to balance the total ball contact
around the screw. The simplicity of de-
sign and economy of motion result in
a compact and reliable ball return as-
sembly. The return design is primarily
used on fine lead screws.
For higher leads, end-cap designs are
preferable. The balls are allowed to ro-
tate around the screw for the length of
the nut before being re-directed by the
end cap. This internal return channel
runs from one end of the nut to the
other and carries the balls back to the
beginning of the circuit. The second
end cap re-engages the balls with the
screw, completing the circuit. The end
cap design eliminates dead zones in
the ball nut and optimizes load capac-
ity. Rotational speed is enhanced
through the geometry of the end cap
diverter and the few number of returns
required.
Single-Liner Ball Return System
End-Cap Ball Return System
The single-liner
ball return
design is used
for the FK, FL
& ZG type
nuts.
The end-cap
design offers
distinct
advantages and
is the system
used for the FH
type nuts
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BS&A FineLine Ball Screws 7Metric Unit Sizes
Product
Specifications
FineLine Ball Screws Product Specifications
Metric Unit Sizes
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© Danaher Motion8 Metric Unit Sizes
Metric Unit Sizes: Part Numbers
-- - -0525 0095 -M FK P5 - Z1 - A - E-P
Standard
End Journals
(see page 16)
A = Fixed End
B = Simple End
C = Fixed End w/
Drive Journal
D = Fixed End w/
Drive Journal
and Keyway
E = Free End
Nut Loading
(see page 5)
Z0.XX = Precise
Preload
(Select 1%-13%.
Available only
with FL nut)*
Z1 = Preload
Z2 = No Preload
Accuracy Class
(see page 4)
P3
P5
T5
T7
Screw Assembly
Type
P = Precision
Ball Screws
Screw Size
Nominal
Diameter [mm]
12
16
20
25
32
40
50
63
80
Screw Lead
[mm/rev]
4
5
10
20
25
40
Length
[mm]
See
Max Length
on
specification
pages.
Nut Type
FK = Flange Nut
(low lead)
FH = Flange Nut
(high lead)
FL = Precision
Flange Nut
ZG = Threaded Nut
End Machining
First
End
Second
End
Unit
M= Metric
Assembly
*For FL nut loading, the number selected indicates the preload force as a percentage of dynamic load capacity.
For example, a 12% preload would be “Z0.12”.
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BS&A FineLine Ball Screws 9Metric Unit Sizes
Product
Specifications
Metric Series Availability
lanimoN
retemaiD
]mm[
tuN
epyT
ddaellanimoN 0
]ver/mm[
4 5 01 02 52 04
21 HF
KF
GZ
LF
61 HF
KF
GZ
LF
02 HF
KF
GZ
LF
52 HF
KF
GZ
LF
23 HF
KF
GZ
LF
04 HF
KF
GZ
LF
05 HF
KF
GZ
LF
36 HF
KF
GZ
LF
08 HF
KF
GZ
LF
kcotsni kcots-nonelbaliava
Ball Nut Types
FH (flanged nut, high lead)
• Available with preload or no preload
• Shortest nut length possible
• Excellent economical solution
ZG (threaded nut)
• Available with preload or no preload
• Solution for non-standard mounting
FL (precision, flanged nut)
• Available with precise preload
• Excellent rigidity
• Highest precision
FK (flanged nut, standard lead)
See
page
10.
• Available with preload or no preload
• Shortest nut length possible
• Excellent economical solution
See
page
10.
See
page
12.
See
page
14.
BS&A is continually developing additional size offerings.
Contact us if your desired size is not listed.
FineLine Ball Screw Assembly Availability
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© Danaher Motion10 Metric Unit Sizes
Standard Flanged Ball Nuts—Clearance & Preload Grade
FK & FH
Nom. Nut
Diam. Lead Type Performance Data Screw Dimensions
Dynamic Static Max Axial Max
d0 Ph0 Load Capacity (Cam
) Load Capacity (C0am
) Backlash Major ∅∅∅∅∅ Minor ∅∅∅∅∅ Length Screw Weight
[mm] [mm] [kN] [lbf] [kN] [lbf] [mm] [mm] [mm] [mm] [kg/m] [lb/ft]
16 5 FK 9.5 2136 10.9 2450 0.09 15.6 12.7 3000 1.2 0.81
20 5 FK 11.5 2585 15.5 32484 0.09 19.6 16.7 4000 2 1.34
20 20 FH 11.5 2585 17.5 3934 0.09 19.6 16.7 4000 1.9 1.28
25 5 FK 13.1 2945 20.2 4541 0.09 24.6 21.7 5000 3.3 2.22
25 10 FH 22.9 5148 141.2 31742 0.09 24.6 21.7 5000 3.3 2.22
25 25 FH 13 2922 22.6 5080 0.09 24.6 21.7 5000 3.3 2.22
32 5 FK 19.3 4339 363 81602 0.09 31.6 287 6000 5.6 3.76
32 10 FK 26.4 5935 39 8767 0.15 31.6 27.1 6000 5.3 3.56
32 20 FH 47.2 10611 83.2 18703 0.15 31.6 27.1 6000 5.3 3.56
40 5 FK 26.3 5912 59.2 13308 0.09 39.6 36.7 6000 9 6.05
40 10 FK 64.9 14590 109 24503 0.18 39.6 34 6000 8.3 5.58
40 20 FH 52.2 11735 103.6 23289 0.15 39.6 35.2 6000 7.6 5.11
40 40 FH 59.7 13421 108.9 24481 0.18 39.6 34 6000 8.4 5.64
50 10 FK 66.4 14927 134.3 30191 0.18 49.5 43 6000 13.5 9.07
50 20 FH 78.8 17714 188.7 42420 0.16 49.5 446 6000 13.6 9.14
63 10 FK 93.8 21086 229.7 51637 0.18 62.5 56.9 6000 22 14.78
63 20 FH 103.1 23177 270.8 60876 0.18 62.5 56.9 6000 22 14.78
80 10 FK 121.9 27404 374.9 84281 0.18 79.5 73.9 6000 36.4 24.6
Note: All listed products available in P3, P5, T5 & T7 accuracy classes.
Performance Specifications for ball screws with Flanged Ball Nuts
Metric Series
FK Style Nut
Standard Flanged Ball Nut and Screw
• Available with preload or no preload
• Shortest nut length possible
• Excellent economical solution
FH Style Nut
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BS&A FineLine Ball Screws 11Metric Unit Sizes
Product
Specifications
Nom. Nut
Diam. Lead Type Nut Dimensions [mm]
d0 Ph0 D1 D4 D5 D6 L L1 L3 L7 L8 Nut Weight Ball ∅∅∅∅∅ (Dw
)
[mm] [mm] g6 h12 ±1 +2 -0.5 h13 h13 [kg] [lbm] [mm]
16 5 FK 28 38 5.5 48 48.5 10 5.5 10 40 0.25 0.55 3.500
20 5 FK 36 47 6.6 58 48.5 10 5.5 10 44 0.35 0.77 3.500
20 20 FH 36 47 6.6 58 59 20 14 10 44 0.45 0.99 3.500
25 5 FK 40 51 6.6 62 49 10 6 10 48 0.37 0.82 3.500
25 10 FH 40 51 6.6 62 51 9 16 10 48 0.45 0.99 3.500
25 25 FH 40 51 6.6 62 71 20 15.5 10 48 0.55 1.21 3.500
32 5 FK 50 65 9 80 57 10 6 12 62 0.7 1.54 3.500
32 10 FK 50 65 9 80 73 16 6 12 62 0.8 1.76 5.556
32 20 FH 56 71 9 86 83 25 19 12 68 1.4 3.09 5.556
40 5 FK 63 78 9 93 66 10 7 14 70 1.2 2.65 3.500
40 10 FK 63 78 9 93 88.5 16 7 14 70 1.4 3.09 7.144
40 20 FH 63 78 9 93 83 25 19.5 14 70 1.6 3.53 5.556
40 40 FH 70 85 9 100 104 25 21 14 77 2.4 5.29 7.144
50 10 FK 75 93 11 110 92 16 7 16 85 2 4.41 7.144
50 20 FH 75 93 11 110 85 16 22 16 85 2.2 4.85 6.350
63 10 FK 90 108 11 125 103.5 16 7 18 95 3 6.61 7.144
63 20 FH 95 115 13.5 135 86 18 24 20 100 3.8 8.38 7.144
80 10 FK 105 125 13.5 145 121 16 9 20 110 3.9 8.6 7.144
Standard Flanged Ball Nuts—Clearance & Preload Grade
FK & FH
D6
D1
D1
D5
L
L1
D7
D1
Wiper
L10
L7
L3
+0.0
-0.3
-0.1
-0.6
d0 ³ 40 mmd0 < 40 mm
6 ´ D5
on D4 B.C.D.
6 ´ D5
on D4 B.C.D.
d0 ³ 40 mm
d0 < 40 mm
Dimensional Specifications for ball screw nuts (Flanged Ball Nuts)
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© Danaher Motion12 Metric Unit Sizes
Standard Threaded Ball Nuts—Clearance & Preload Grade
ZG
Standard Threaded Ball Nut and Screw
• Available with preload or no preload
• Solution for non-standard mounting
Nom. Nut
Diam. Lead Type Performance Data Screw Dimensions
Dynamic Static Max Axial Max
d0 Ph0 Load Capacity (Cam) Load Capacity (C0am) Backlash Major ∅∅∅∅∅ Minor ∅∅∅∅∅ Length Screw Weight
[mm] [mm] [kN] [lbf] [kN] [lbf] [mm] [mm] [mm] [mm] [kg/m] [lb/ft]
12 4 ZG 3.5 787 4 899 0.07 11.6 9.7 3000 0.7 0.47
16 5 ZG 12.1 2720 14.5 3260 0.09 15.6 12.7 3000 1.2 0.81
20 5 ZG 14.8 3327 20.7 4653 0.09 19.6 16.7 4000 2 1.34
25 5 ZG 20.4 4586 33.7 7576 0.09 24.6 21.7 5000 3.3 2.22
25 10 ZG 19.9 4474 31.8 7149 0.09 24.6 21.7 5000 3.3 2.22
32 5 ZG 23.3 5238 45.5 10228 0.09 31.6 287 6000 5.6 3.76
32 10 ZG 33.8 7598 52 11690 0.15 31.6 27.1 6000 5.3 3.56
40 5 ZG 26.3 5912 59.2 13308 0.09 39.6 36.7 6000 9 6.05
40 10 ZG 78.6 17669 136.2 30618 0.18 39.6 34 6000 8.3 5.58
50 10 ZG 97.8 21985 213.2 47927 0.18 49.5 43 6000 13.5 9.07
63 10 ZG 109.7 24661 275.6 61955 0.18 62.5 56.9 6000 22 14.78
80 10 ZG 121.9 27403 375 84300 0.18 79.5 73.9 6000 36.4 24.46
Note: All listed products available in P3, P5, T5 & T7 accuracy classes.
Performance Specifications for ball screws with Threaded Ball Nuts
Metric Series
ZG Style Nut
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BS&A FineLine Ball Screws 13Metric Unit Sizes
Product
Specifications
Standard Threaded Ball Nuts—Clearance & Preload Grade
ZG
Nom. Nut
Diam. Lead Type Nut Dimensions [mm]
d0 Ph0 D1 D11 D12 D13 L L11 L12 L13 Nut Weight Ball ∅∅∅∅∅ (Dw
)
[mm] [mm] h12 ±0.1 ±1 -0.5 ±2 ±2 [kg] [lbm] [mm]
12 4 ZG 25.5 M 20 x 1.0 3.2 - 34 10 12.0 - 0.1 0.22 1.984
16 5 ZG 32 M 30 x 1.5 M 6 x 1 4 57.5 16.5 10.5 22.0 0.22 0.49 3.500
20 5 ZG 38 M 35 x 1.5 M 6 x 1 4 57.5 16.5 10.5 22.0 0.3 0.66 3.500
25 5 ZG 42 M 40 x 1.5 M 6 x 1 4 63.5 17 10.5 23.0 0.37 0.82 3.500
25 10 ZG 42 M 40 x 1.5 M 6 x 1 4 61 17 10.0 21.0 0.38 0.84 3.500
32 5 ZG 52 M 48 x 1.5 M 6 x 1 5 65.5 19 10.5 23.0 0.55 1.21 3.500
32 10 ZG 52 M 48 x 1.5 M 6 x 1 5 85 19 12.0 43.0 0.65 1.43 5.556
40 5 ZG 58 M 56 x 1.5 M 8 x 1 5 67.5 19 12.0 22.5 0.6 1.32 3.500
40 10 ZG 65 M 60 x 2.0 M 8 x 1 6 105.5 27 13.0 43.0 1.25 2.76 7.144
50 10 ZG 78 M 72 x 2.0 M 8 x 1 6 118 29 13.0 53.0 1.95 4.30 7.144
63 10 ZG 92 M 85 x 2.0 M 8 x 1 6 118 29 13.0 53.0 2.4 5.29 7.144
80 10 ZG 120 M 110 x 2.0 M 8 x 1 8 126 34 15.5 53.0 4.9 10.8 7.144
D
12
L
12 L
13
D
13
L11
Wiper
D11
L
D1
Dimensional Specifications for ball screw nuts (Threaded Ball Nuts)
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© Danaher Motion14 Metric Unit Sizes
Flanged Ball Nuts—Precise Preload Grade
FL
Flanged Ball Nut and Screw
• Available with precise preload
• Excellent rigidity
• Highest precision
Nom. Nut
Diam. Lead Type Performance Data Screw Dimensions
Dynamic Load Static Load Min. Max Axial Number Major Minor Max
d0 Ph0 Capacity (Cam) Capacity (C0am) Stiffness (Rnu)*Backlash of Loaded ∅∅∅∅∅ ∅∅∅∅∅ Length Screw Weight
[mm] [mm] [kN] [lbf] [kN] [lbf] [kN/µm] [mm] Turns [mm] [mm] [mm] [kg/m] [lb/ft]
16 5 FL 6.7 1506 7.2 1619 0.16 0.00 2 + 2 15.6 12.7 3000 1.2 0.81
20 5 FL 11.5 2585 15.5 3484 0.30 0.00 3 + 3 19.6 16.7 4000 2 1.34
25 5 FL 12.6 2832 19.1 4294 0.38 0.00 3 + 3 24.6 21.7 5000 3.3 2.22
32 5 FL 19.3 4339 36.4 8183 0.60 0.00 4 + 4 31.6 287 6000 5.6 3.76
32 10 FL 26.4 5935 39 8767 0.49 0.00 3 + 3 31.6 27.1 6000 5.3 3.56
40 5 FL 26.3 5912 59.2 13308 0.89 0.00 5 + 5 39.6 36.7 6000 9 6.05
40 10 FL 64.9 14590 109 24503 0.94 0.00 4 + 4 39.6 34 6000 8.3 5.58
50 10 FL 66.4 14927 134.3 30191 1.18 0.00 4 + 4 49.5 43 6000 13.5 9.07
63 10 FL 93.8 21086 229.7 51637 1.74 0.00 5 + 5 62.5 56.9 6000 22 14.78
80 10 FL 121.9 27404 375 84303 2.45 0.00 6 + 6 79.5 73.9 6000 36.4 24.6
Note: FL listed products available in P3 accuracy class only.
*Nut stiffness based on 10% preload (F=10% × Cam).
Performance Specifications for ball screws with Flanged Ball Nuts
Metric Series
FL Style Nut
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BS&A FineLine Ball Screws 15Metric Unit Sizes
Product
Specifications
Flanged Ball Nuts—Precise Preload Grade
FL
Nom. Nut
Diam. Lead Type Nut Dimensions [mm]
d0 Ph0 D1 D4 D5 D6 L L1 L3 L7 L8 Nut Weight Ball ∅∅∅∅∅ (Dw
)
[mm] [mm] g6 h12 ±1 +2 -0.5 h13 h13 [kg] [lbm] [mm]
16 5 FL 28 38 5.5 48 55 10 5.5 10 40 0.21 0.46 3.500
20 5 FL 36 47 6.6 58 68.5 10 5.5 10 44 0.38 0.84 3.500
25 5 FL 40 51 6.6 62 69.5 10 6 10 48 0.38 0.84 3.500
32 5 FL 50 65 9 80 83 10 6 12 62 0.72 1.59 3.500
32 10 FL 50 65 9 80 105.5 16 6 12 62 0.82 1.81 5.556
40 5 FL 63 78 9 93 97 10 7 14 70 1.3 2.87 3.500
40 10 FL 63 78 9 93 142 16 7 14 70 1.5 3.31 7.144
50 10 FL 75 93 11 110 144 16 7 16 85 2.2 4.85 7.144
63 10 FL 90 108 11 125 166 16 7 18 95 3.3 7.28 7.144
80 10 FL 105 125 13.5 145 192 16 9 20 110 4.3 9.48 7.144
Dimensional Specifications for ball screw nuts (Flanged Ball Nuts)
D6
D1
D1
D5
L
L1
D7
D1
Wiper
L10
L7
L3
+0.0
-0.3
-0.1
-0.6
d0 ³ 40 mmd0 < 40 mm
6 ´ D5
on D4 B.C.D.
6 ´ D5
on D4 B.C.D.
d0 ³ 40 mm
d0 < 40 mm
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© Danaher Motion16 Metric Unit Sizes
Standard End Journals
C
do
d5
d7
d8
L29
L32 L31
B
d6
d5
do
L24
L23
L27
A
d7
d5
do
L32
L34
do
D
d5
d7
d8
L29
L32 L31
WxD
L33
E
do
d0 End Journal End Journal
[mm] Type B: DIN 625 Types A, C: DIN 628 Lock Nut: DIN 631
16 6001 7301 B KM 1
20 6002 7302 B KM 2
25 6004 7204 B KM 4
32 6205 7305 B KM 5
40 6206 7306 B KM 6
50 6208 7308 B KM 8
63 6210 7310 B KM 10
80 6212 7312 B KM 12 DIN 625 DIN 628
Bearings & Lock Nuts for recommended end journal bearings
Specifications for standard end journals [mm]
d0 d5 d6 d7 d8 L23 L24 L27 L29 L30 L31 L32 L34 W x L33 x D
j6 h12 h7 h13
16 12 11.5 M12 x 1.0 10 10.5 8 1.1 59 35.5 25 10 33 3 x 18 x 1.8
20 15 14.0 M15 x 1.0 12 13 9 1.1 62 48 35 12 37 4 x 27 x 2.5
25 20 19.0 M20 x 1.0 16 16 12 1.3 86 61 45 14 41 5 x 36 x 3
32 25 23.9 M25 x 1.5 20 19 15 1.3 104 74 55 17 49 6 x 45 x 3.5
40 30 28.6 M30 x 1.5 25 21 16 1.6 117 85 64 17 53 8 x 50 x 4
50 40 37.5 M40 x 1.5 36 25 18 1.85 143 96 78 21 65 10 x 63 x 5
63 50 47.5 M50 x 1.5 40 27 20 2.0 169 127 100 25 70 12 x 78 x 5
80 60 57.5 M60 x 2.0 50 29 22 2.15 201 149 120 30 81 14 x 100 x 5.5
Fixed End Simple End Fixed End with
Drive Journal
Fixed End with
Drive Journal
and Keyway
Free
End
A - E
Standard End Journal Types
A = Fixed End
B = Simple End
C = Fixed End w/Drive Journal
D = Fixed End w/Drive Journal and Keyway
E = Free End
End Machining
First
End
Second
End
End Journal Orientation
-- - -0525 0095 -M FK P5 - Z1 --P
See page 8 for complete explanation of part numbering.
Type
First
End
Second
End
Note: Ball nut orientation as shown
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BS&A FineLine Ball Screws 17English Unit Sizes
Product
Specifications
FineLine Ball Screws Product Specifications
English Unit Sizes
New
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© Danaher Motion18 English Unit Sizes
Standard
End Journals
(see page 16)
A = Fixed End
B = Simple End
C = Fixed End w/
Drive Journal
D = Fixed End w/
Drive Journal
and Keyway
E = Free End
Nut Loading
(see page 5)
Z0.XX = Precise
Preload
(Select 1%-13%.
Available only
with FL nut)*
Z1 = Preload
Z2 = No Preload
Accuracy Class
(see page 4)
P3
P5
T5
T7
Screw Assembly
Type
P = Precision
Ball Screws
Screw Size
Nominal
Diameter
[in x 1000]
625
Screw Lead
[in x 1000/rev]
200
500
1000
Nut Type
FK = Flange Nut
(low lead)
FH = Flange Nut
(high lead)
FL = Precision
Flange Nut
ZG = Threaded Nut
First
End
Second
End
Unit
E = English
Assembly
(Inch Lead)
Screw Length
[in]
See
Max Length
on
specification
pages.
-- - -200625 16.50 -E ZG P5 - Z1 - A - E-P
FineLine Ball Screw Assembly Availability - English Series
lanimoN
retemaiD ]ni[
tuN
epyT
ddaellanimoN 0
]ver/ni[
002. 005. 000.1
526. KF
GZ
LF
kcotsni kcots-nonelbaliava .
English Unit Sizes: Part Numbers
End Machining
BS&A is continually developing additional size offerings.
Contact us if your desired size is not listed.
New
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BS&A FineLine Ball Screws 19English Unit Sizes
Product
Specifications
Nom. Nut
Diam. Lead Type Nut Dimensions [in]
d0 Ph0 D1 D4 D5 D6 L L1 L3 L7 L8 Nut Weight Ball ∅∅∅∅∅ (Din
)
[in.] [in.] g6 h12 ±0.04 +0.08 -0.02 h13 h13 [kg] [lbm] [in]
0.625 0.200 FK 1.10 1.50 0.22 1.89 1.91 0.39 0.22 0.39 1.57 0.25 0.55 0.138
0.625 0.200 FL 1.10 1.50 0.22 1.89 2.17 0.39 0.22 0.39 1.57 0.21 0.46 0.138
Flanged Ball Nuts - Clearance & Preload Grades (FK) and Precise Preload Grade (FL)
English Unit Sizes
Nom. Nut
Diam. Lead Type Performance Data Screw Dimensions
Dynamic Static Max Axial Max
d0 Ph0 Load Capacity (Cam
) Load Capacity (C0am
) Backlash Major ∅∅∅∅∅ Minor ∅∅∅∅∅ Length Screw Weight
[in] [in] [kN] [lbf] [kN] [lbf] [in.] [in.] [in.] [in.] [kg/m] [lb/ft]
.625 .200 ZG 12.1 2720 14.5 3260 0.0035 0.61 0.5 118 1.2 0.81
.625 .200 FK 9.5 2136 10.9 2450 0.0035 0.61 0.5 118 1.2 0.81
.625 .200 FL 6.7 1506 7.2 1619 0.0000 0.61 0.5 118 1.2 0.81
Note: FK and ZG products available in P3, P5, T5 & T7 accuracy classes; FL available in P3 only.
Performance Specifications for ball screws
6 ´ D5
on D4 B.C.D.
D6
D1
D1
D5
L
L1
D7
D1
Wiper
L10
L7
L3
+0.0
-0.3
-0.1
-0.6
Nom. Nut
Diam. Lead Type Nut Dimensions [in]
d0 Ph0 D1 D11 D12 D13 L L11 L12 L13 Nut Weight Ball ∅∅∅∅∅ (Dw
)
[in.] [in.] h12 ±0.004 ±0.04 -0.02 ±0.08 ±0.08 [kg] [lbm] [in.]
0.625 0.200 ZG 1.26 M 30 x 1.5 M 6 x 1 0.157 2.26 0.65 0.41 0.87 0.22 0.49 0.138
Threaded Ball Nuts - Clearance Preload Grade (ZG)
D12
L12 L13
D13
L11
Wiper
D11
L
D1
New
ZG Style Nut
FK & FL
Style Nuts
Dimensional Specifications for ball screw nuts
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© Danaher Motion20 Engineering Reference
Engineering Reference
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BS&A FineLine Ball Screws 21Engineering Reference
EngineeringReference
Efficiency & Torque
Ta
FF
Te
F
The ball screw assembly’s performance
in converting between linear motion
and rotational torque is its efficiency,
η. Efficiency depends primarily on geo-
metrical data, though various operat-
ing influences can swing actual effi-
ciency by ±5% from the calculated. As
such, to account for operational influ-
ences such as speed, temperature, lu-
The theoretical
efficiency (η),
when converting
torque into
linear motion is:
The theoretical
efficiency (η′ ),
when converting
linear motion into
torque is:
Ta
FF
Te
F
When converting
torque into linear
motion, the necessary
drive torque is:
When converting linear
motion into torque, the
resulting output torque
is:
bricant, etc., approximately 5% of the
theoretical efficiency should be de-
ducted.
Furthermore, if the ratio of load (F) to
dynamic load rating (Cam) is below 0.5,
then an additional reduction in relation
to the load factor is to be applied (see
table below for fL).
The efficiency calculated on this basis
applies for the ball screw including lu-
brication but without considering wip-
ers or shaft support.
If an improvement in efficiency is re-
quired, please contact our engineering
department.
For approximate torque based on 90% efficiency:
T 0.177 F Pa h0= × ×
ρ" = friction angle
(0.23° for P-class
tolerances, 0.34° for
T-class tolerances)
ϕ = lead angle
Ph0, d0 = lead & diameter
(see product specifications)
F = axial load
Cam = dynamic load rating
Ta = drive torque
Te = output torque
fL = adjusted to load factor
η, η′ = theoretical efficiency
Load Adjustment Factors
Parameters:
T .143 F Pe h0= × ×
Efficiency: Rotary to Linear Efficiency: Linear to Rotary
Torque: Rotary to Linear Torque: Linear to Rotary
Practical Efficiency:
Example
Parameters:
40 x 10 mm screw, P3 class
F = 10 kN
Cam = 53.9 kN
Rotary to Linear Application
The lead angle, ϕ, is found:
The loading ratio is small, so a load
adjustment factor is required:
P3 precision indicates friction angle
of ρ"=0.23°
Thus, the theoretical efficiency is:
F
C ma
f(rotcafdaolottnemtsujdA L
)
5.0 00.1
4.0 99.0
3.0 89.0
2.0 79.0
1.0 69.0
Applying the load adjustment factor
and 5% reduction gives practical
efficiency of:
Torque required to drive the load is
given by:
T
T
a
a
=
×
× ×
=
10 000 010
2 88
18 1
, .
.
.
[N] [m]
[Nm]
π
η
ϕ
ϕ ρ π
=
+( )
tan
tan "
with tan
P
d
h0
0
ϕ =
×
η
ϕ ρ
ϕ
ϕ
π
′ =
−( )
=
×
tan "
tan
with tan
P
d
h0
0
η ηp Lf= × ×.95
T
F P
2a
h0
=
×
× ×π ηp
T
F P
2
e
h0
=
× ×
×
η
π
′p
tan .
.
ϕ
π
ϕ
=
×
=
= °
10
40
0 08
4 55
η =
°+ °( )
=
0 08
4 55 0 23
96
.
tan . .
.
F
C
f
am
L
= =
≈
10
53 9
0 19
0 97
.
.
.
η η
η
η
p L
p
p
f= × ×
= × ×
= ±
.
. . .
. %
95
96 95 97
88 5
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© Danaher Motion22 Engineering Reference
Functional Life
neq
n1
n2
n3
q1
q2
q3
100
n[rpm]
q %
q1
q2
q3
100
F[N]
q %
F1
F2
F3
Feq
q1
q2
q3
100
F[N]
q %
Fm1
Fm2
Fm3
Feq
F1max
F1min
F/2
F/2
F
F
F
0.01 A P3
0.02 A P5, T5, T7
A
Tolerances:
0.01/100 P3
0.02/100 P5, T5, T7
Tolerances:
0.01/100 A
-A-
Nut Mounting
Use the following guidelines to achieve optimal performance.
Nut Loading
Axial loading (on nut or screw) is optimal for performance and life.
For applications requiring radial loads, please contact us.
n n
q
100
eq
i 1
n
i 1
i
min= × 



=
−
∑ F F
n
n
q
100
eq i
i
eq
i
i 1
n
1/3
3
N= × ×






[ ]
=
∑ F F
n
n
q
100
eq mi
i
eq
i
i 1
n
1/3
3
N= × ×






[ ]
=
∑
Modified Life
L
C
F
1010
am
eq
3
6
rev=










× [ ]
L
L
n 60
h10
10
eq
hours=
×
[ ]
Parameters:
neq = equivalent rotational speed [rpm]
Feq = equivalent load [N]
Cam = modified dynamic load rating [N]
(see specification tables)
Axial Loading: optimal Radial Loading: detrimental*
Life
The ball screw assembly’s useful life
will vary according to load and speed.
Life is typically rated at 90% confi-
dence, L10
(which represents time at
which 90% of assemblies still perform).
Simple rotational speed profile
Functional life should be determined
by approximating equivalent rotational
speed and loading force over typical
performance cycles.
Simple loading profile (1) Simple loading profile (2)
*Minimize radial loading to less than 5% of the axial load.
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BS&A FineLine Ball Screws 23Engineering Reference
EngineeringReference
Speed Limitations
Critical Rotational Speed
Eccentricities in the screw will cause
harmonic vibration at the critical rota-
tional speed (ncr ). Vibration speed and
magnitude are determined by shaft di-
ameter, unsupported length, type of
bearing support, position of the ball nut
in the stroke, how the ball nut is
n
ncr [rpm]
Maximum speed
4000
3500
3000
2500
2000
1800
1600
1400
1200
1000
900
800
700
600
500
450
400
350
16 635040322520 80
ncr[rpm]
screw
size
d0
[m
m
]
Critical Length
300
250
200
150
100
0.7 10.90.8 1.2 1.4 1.6 1.8 2 2.5 3 3.5 4 4.5 5 5.5 6 7 8 9 10
lcr
.103
[mm]
CriticalHarmonicSpeed
mounted, the shaft or ball nut rpm, etc.
(Shaft vibrations may also be caused
by a bent screw or faulty installation
alignment.) BS&A recommends a 20%
safety factor below critical harmonic
speed.
ssalcecnareloT
timildeepslanoitatoR
]mpr[
5T,5P,3P d/000,041 0
]mm[
7T d/000,001 0
]mm[
Example
A maximum rotational speed limit
should be observed according to toler-
ance and shaft diameter regardless of
critical speed limit compliance.
d ≈
+
[ ]
≈ [ ]
[ ]
= [
d d
2
d d D
D Ball
l critical length
0 3
3 0 w
w
cr
mm
mm
mm
mm
−
= φ
]]
=f mounting condition
speed adjustment factor
cr
Critical Harmonic Speed Chart
Parameters:
d0 = 63 mm
lcr = 2700 mm
Fixed-simple loading
Reading from chart, using length and
screw size, gives critical rotational
speed ncr = 970 rpm. Fixed-simple
mounting indicates speed adjustment
factor of fcr = 1.56. Thus, the recom-
mended maximum speed is:
ncrp = 0.8 x 970 x 1.56
ncrp = 1210 rpm
Parameters:
Critical harmonic speed:
Recommended maximum speed:
n 1.2 10
d
l
rpm
n 0.8 n f rpm
cr
8
cr
crp cr cr
2
= × × [ ]
× [ ]= ×
lcr
lcr
fcr
= 0.356
lcr
fcr
= 1
lcr
fcr
= 1.56
lcr
fcr
= 2.27
Simple-Simple
Fixed-Simple
Fixed-Fixed
Mounting Condition Effects
Fixed-Free
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© Danaher Motion24 Engineering Reference
lcr
lcr
fcr
= 0.356
Buckling
Fc
Compression loads (where force
pushes on bearing and support) tend
to cause the screw shaft to bend, re-
Parameters:
d0 = 63 mm, Ph0 = 10 mm
lc = 5200 mm
Fixed-simple loading
Reading from chart, using length and
screw size, gives Fc = 45 kN.
Fixed-simple loading indicates a
mounting condition load adjustment
factor of fc = 2.0 (from above). Thus,
the recommended maximum load is:
Fcp = 0.8 x 45 x 2
Fcp = 72 kN
Fc [N]
Example
quiring larger screw diameters than for
comparably loaded tensile situations.
Where possible, applications should be
designed for tension loading (where
force pulls on bearing and support.)
Parameters:
Critical buckling force:
Recommended maximum force:
F
1.017 10
l
F 0.8
c
5
c
cp
2
N=
× ×
[ ]
= × × [ ]
d
F f
4
c c N
d
d d
2
d nominal diameter
d d D
D Bal
0 3
0
3 0 w
w
mm
mm
mm
≈
+
[ ]
= [ ]
≈ − [ ]
= ll
(see production specifications)
l stroke le
mm
c
φ [ ]
= nngth
f mounting condition
load adjustment fac
mm
c
[ ]
=
ttor
Critical Buckling Force Chart
lcr
fcr
= 1
lcr
fcr
= 1.56
lcr
fcr
= 2.27
Simple-Simple
Fixed-Simple
Fixed-Fixed
Mounting Condition Effects
Fixed-Free
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BS&A FineLine Ball Screws 25Engineering Reference
EngineeringReference
Rigidity
l1
l2
l2
l
For most low-load applications, screw
rigidity is not an essential design con-
sideration, as screw deflection is very
small compared with travel variation.
For high precision, high load applica-
tions, however, deflection caused by
loading may be significant. In these cir-
cumstances, precisely preloaded nuts
should be used (series FL) to assure
adequate system rigidity.
Screw shaft cross-sectional area
1
R
1
R
1
Rtot s nu
N/ m= + [ ]µ
Rigid mounting at one end Rigid mounting at both ends
d0 ]mm[ 61 02 52 23 04 05 36 08
P 0h ]mm[ 5 5 52-5 5 01 5 04-01 02-01 02-01 01 02
mm[A 2
] 261 362 824 327 586 5511 5701 5071 3282 0564 2144
R
l 10
s
1
3
N/=
×
×
[ ]
A E
mµ R
A E
l 10
l
l l
R is minimum for l 0.5 l
s
2
3
2
s 2
N/ m=
×
×
×
−
[ ]
= ×( )
µ
Screw Shaft Rigidity
The total rigidity Rtot of the ball screw
unit is determined by the rigidities of
the screw shaft (Rs
-1
see below) and of
the nut unit (Rnu
-1
see product specifi-
cation tables). Overall rigidity (without
bearing) is calculated as:
Parameters: Parameters:
E 21 10
l, l
A Cross sectional area
o
4 2
1
N/mm
mm
= × 



[ ]
=
ff screw shaft (see below)
E 21 10
l, l
A Cross sectional area
4 2
2
N/mm
mm
= × 



[ ]
=
oof screw shaft (see below)
Screw Shaft Rigidity
ELECTROMATE
Toll Free Phone (877) SERVO98
Toll Free Fax (877) SERV099
www.electromate.com
sales@electromate.com
Sold & Serviced By:
© Danaher Motion26 Engineering Reference
Lead Accuracy
+
-
l1
lu
le
le
l0
300 mm
v300p
vup
vup
ep
ep
c
∆l0
v2πp
2πrad +-
l1
le lelu
l0
v300p
300 mm
epep
0
∆l0
ssalCycaruccA
3P 5P 7T,5T
v p003 levartmm003nihtiwnoitairavlevartelbissimreP 1elbaT 1elbaT 1elbaT
v2πp 2nihtiwnoitairavlevartelbissimreP π levart 1elbaT 1elbaT -
c erutarepmetrofnoitasnepmoC - - -
ep levartlufesunoecnareloT lu 3elbaT 3elbaT
v pu levartlufesunihtiwnoitairavlevartelbissimreP lu 3elbaT 3elbaT -
Permissible Travel Deviations
Lead accuracy is specified by a toler-
ance class. The primary difference be-
tween the two tolerance class types
T - Transport Class Ball Screws
Maximum error over useful length = ep
l1
= Axial thread length lu
= Usable travel le
= Excess travel l0
= Nominal travel ∆l0
= Travel deviation
lu
]mm[
> 513 004 005 036 008 0001 0521 0061 0002 0052 0513 0004 0005
≤ 513 004 005 036 008 0001 0521 0061 0002 0052 0513 0004 0005 0036
ecnareloT
ssalC
P3 ep ]mµ[ 21 31 51 61 81 12 42 92 53 14 05 26 67 -
vup ]mµ[ 21 21 31 41 61 71 91 22 52 92 43 14 94 -
P5 ep ]mµ[ 32 52 72 03 53 04 64 45 56 77 39 511 041 071
vup ]mµ[ 32 52 62 92 13 53 93 44 15 95 96 28 99 911
ssalCecnareloT 3 5 7
v [p003 µ ]m 21 32 25
v2π [p µ ]m 6 8 -
daellanimoN P 0h ]mm[ ≤ 5 ≤ 01 ≤ 02 > 02
levartssecxE le ]mm[ 02 04 06 08
Parameters
Permissible travel variation (Table 1)
P - Positioning Class Ball Screws
Maximum error over useful length = ep+1
/2vup+C
Excess travel (Table 2)
Permissible cumulative travel variation over long distances (Table 3)
offered is the way they control cumu-
lative lead error. P class ball screws
are more precise over long lengths
than T class screws. Variation infor-
mation for FineLine Ball Screws is
given here.
2
300
300× ×
l
Vu
p
ELECTROMATE
Toll Free Phone (877) SERVO98
Toll Free Fax (877) SERV099
www.electromate.com
sales@electromate.com
Sold & Serviced By:
BS&A FineLine Ball Screws 27Engineering Reference
EngineeringReference
Lubrication & Materials
Average Speed n
eq [rpm]
Nominal d0 [mm] Temperature [°C]
Oil Viscosity Determination Chart
Example
Parameters:
Average speed, neq = 200 rpm
Operating temperature, t = 25°C
Diameter, d0 = 63 mm
For the nominal diameter 63 mm
and neq = 200 rpm the left part of
the diagram indicates a viscosity υ1
of 110 mm2
/s.
Correct lubrication of ball bearing
screws is not only a must for achiev-
ing the calculated lifetime, but also is
important for quiet running, for reduc-
ing temperature rise during operation,
and for reducing the no-load torque. If
the customer does not prescribe any-
thing else, the final acceptance test at
the factory will be performed with an
oil ISO VG100. Other acceptable vis-
cosities include ISO VG68, VG150 and
VG200.
Oil lubrication
Generally, the use of CL oils or the
use of alloyed CLP oils with EP addi-
tives increase the corrosion prevention
and the resistance to aging. The cor-
rect viscosity depends on the circum-
ference, speed (diameter and revolu-
tion), and the ambient and/or the an-
ticipated operating temperature.
The precise amount of oil required per
ball circle depends on the revolving
speed. Amounts of approximately 0.3
to 0.5 cm3
/h are adequate when using
oil, or roughly 10% of this amount for
greases. For submerged lubrication in a
horizontal installation, oil levels at the
center of the lowest ball are adequate.
Grease lubrication
Ball bearing screws can also be lubri-
cated with grease, reducing time be-
tween required lubrications.
In operation, a small quantity of grease
escapes from the nut and remains on
the screw with each stroke (even with
the best wipers), causing the grease
supply to decrease during operation.
To achieve calculated unit lifetime, L10,
it is therefore necessary either to cre-
Projection of this value into the right
diagram, with a temperature of
25°C results in the intersection point
between ISO VG46 and ISO VG68.
To guarantee a sufficient lubrica-
tion film at all working conditions,
the higher value should be chosen,
in this case ISO VG68, (at long
operating times, possibly even
higher viscosities could be used).
ate a lubrication time table or create a
central lubrication installation system.
For manual relubrication an average
value of 700 operating hours can be
assumed. This indication varies largely
as a function of the machine construc-
tion and the application. The grease
quantity has to be defined so that the
cavities are approximately half full. Un-
necessary temperature rise of the ball
bearing screw by overgreasing is to
be avoided by making sure that con-
sumed grease or excess grease can
escape.
Greases are divided into NLGI classes
according to DIN 51818. Normally for
ball bearing screws, water resistant
greases of class K2K20 (DIN 51825)
have to be used (operating tempera-
ture -20°C to +120°C). In special cases
greases K1K-20 (at very high number
of revolutions) and/or KP2K-20 (at high
load and/or low speed) are also pos-
sible.
traP lairetaM tnemtaerTtaeH
tfahswercS N35fC~ denedrahnoitcudnI
tuN 5rCnM91 dezirubraC
repiW nolyN
llaB 6rC001 CRH2±26
Materials
Our typical materials for components
are shown below. Additional heat or
surface treatments are available upon
request including chrome plating
(Armaloy).
Please contact us
for any additional
requirements.
ELECTROMATE
Toll Free Phone (877) SERVO98
Toll Free Fax (877) SERV099
www.electromate.com
sales@electromate.com
Sold & Serviced By:
© Danaher Motion28 Engineering Reference
Accuracy A measure of how closely
a motion system will approach a com-
mand position. Perfect accuracy, for
example, means advancing a ball nut
exactly the same amount every time
from a specific point on a screw will
always require the theoretically predi-
cated number of revolutions.
Backdrive Application of a force on
a ball nut to cause rotation of the screw
shaft; in essence, converting linear to
rotary motion.
Backlash Free axial motion that is
measured in a ball screw system.
Ball Circle Diameter The distance
between the centerlines of two exactly
opposing recirculating balls when they
are in contact with the screw. The ba-
sic point of reference used by BS&A
when dealing with ball screws.
Compression Load A force that
would tend to squeeze the screw in an
axial direction.
Critical Speed The condition where
the rotary speed of the assembly sets
up harmonic vibrations. These vibra-
tions are the result of shaft diameter,
unsupported length, type of bearing
support, ball nut mounting method, or
the shaft or ball nut rpm.
Cycle The complete load-carrying ex-
tension and retraction of the screw or
nut. Each cycle consists of two strokes
(one forward and one back to the point
of origin).
Dynamic (Operating) Load The
axial force which the ball screw will
experience during movement.
Efficiency Expressed as a percent-
age, the ability of a ball screw assem-
bly to convert torque to thrust with mini-
mal mechanical loss.
End Fixity The bearing configura-
tions that are used to support the ends
of a ball screw assembly.
Lead The axial advance of the ball
nut per revolution of the screw.
Linear Expansion Ball screw and
spline inner races have a coefficient of
linear expansion of 0.0000065 for each
degree of change (F) and for each inch
of race length.
Lubrication To provide the maximum
useful life, ball screws require lubrica-
tion. In general, standard ball bearing
lubrication practices are acceptable.
Off-Center Load A load that tends
to create misalignment between the
ball nut and screw shaft, which causes
rotational binding and shortened op-
erational life.
Operating Loads The normal oper-
ating force which the ball screw will
experience is considered the operat-
ing load. Contact BS&A’s application
engineering for applications subject to
widely fluctuating loads or to optimize
design.
Preload A method of loading one set
of bearing balls in opposition to each
other to eliminate all axial freedom.
Preloading increases system stiffness
and eliminates backlash.
Repeatability The degree to which
a system will return to the same com-
mand position over time. Axial back-
lash degrades repeatability by introduc-
ing uncertainty into the absolute nut
position.
Root Diameter The diameter of the
screw shaft as measured at the bot-
tom of the ball track.
Screw Diameter (land diameter) The
outside diameter of the screw shaft.
Screw Starts The number of indi-
vidual threads on a screw shaft.
Side Load A radial force that signifi-
cantly reduces rated life and can po-
tentially lead to premature failure.
Static (Maximum) Load The maxi-
mum force that can be resisted with-
out causing damage to the screw com-
ponent with the system at rest.
Stiffness A ratio of load versus de-
flection of a component or of a total
system.
Straightness Radial variation from a
theoretically perfect cylinder of the
same diameter.
Stroke The maximum length of travel
required for the nut.
Temperature (operating) With suit-
able lubricants, ball screws will oper-
ate with a minimum loss of efficiency
between temperatures of -65° to
+300°F (-53° to +149°C). Contact
BS&A for extreme temperatures.
Tension Load A force in a direction
that would tend to stretch the screw.
Torque The force required to drive a
ball screw in converting rotary to lin-
ear motion.
Travel and Travel Rate The distance
a ball nut moves relative to the screw
shaft. Travel rate is the distance trav-
eled in a specific time period.
Glossary
ELECTROMATE
Toll Free Phone (877) SERVO98
Toll Free Fax (877) SERV099
www.electromate.com
sales@electromate.com
Sold & Serviced By:
Application Requirements
Company: ____________________________________________________
____________________________________________________
____________________________________________________
Contact:
Technical: __________________________ Phone: _________________
Fax: ______________________ Email: __________________
Purchasing: __________________________ Phone: _________________
Fax: ______________________ Email: __________________
Application: _____________________________________________________ New application
______________________________________________________ Existing application
Parameters:
Nominal diameter d0 ______________ Lead __________________ Ph0 in mm
Lead direction right left
Maximum travel deviation within 300 mm (12 in) _______________ 1/10000 in µm
Total length _____________________ [mm] Quantity __________ per year
Load ratings:
Load: lbf or N Speed: rpm Duty Cycle: %
F1 = _____________________ n1 _______________________ q1 _____________________
F2 = _____________________ n2 _______________________ q2 _____________________
F3 = _____________________ n3 _______________________ q3 _____________________
Max. static load _________________________________________ lbf N
Life required _______________________ (working hours) ___________________ (106 Revolutions)
Mechanical:
Mounting Horizontal Vertical Diagonal
Driven part Screw Nut
Mounting Fixed-Fixed Simple-Fixed Simple-Simple Free-Fixed
configuration
BS&A
3616 Snell Avenue
San Jose, CA 95136-1305
www.ballscrews.com
email: sales@bsa-fineline.com
Toll-free: 1-800-966-7231
Fax: 1-408-629-2620
Contact BS&A for application
and ordering assistance.
Precision Ground &
Rolled Ball Screws
ScrewProducts and ScrewAssemblies from BS&A
Anti-backlash
Lead Screws
Custom & Stock
Assemblies
Visit us on the web: www.ballscrews.comELECTROMATE
Toll Free Phone (877) SERVO98
Toll Free Fax (877) SERV099
www.electromate.com
sales@electromate.com
Sold & Serviced By:
www.ballscrews.com
BS&A
3616 Snell Avenue
San Jose, CA 95136-1305
Toll-free: 1-800-966-7231
Fax: 408-629-2620
email: sales@bsa-fineline.com
www.ballscrews.com
www.danahermotion.com
DMLMS-BS&A FLBS 7/02
Contact BS&A for assistance in locating your local distributor.
FineLine Ball Screws
Manufactured using BS&A’s
PSF Technology™
ELECTROMATE
Toll Free Phone (877) SERVO98
Toll Free Fax (877) SERV099
www.electromate.com
sales@electromate.com
Sold & Serviced By:

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Thomson fineline catalog

  • 1. Manufactured using BS&A’s PSF Technology™ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 2. FineLine Ball Screws FineLine Ball Screws were developed by BS&A (previously known as Warner Linear) in Wolfschlugen, Germany, and have been sold in Europe since 1999. The screws have been successfully de- ployed in high-precision applications in transporation, manufacturing, health, fit- ness, robotics, plastics and packaging industries. BS&A’s PSF Technology™ enables us to manufacture ball screws with accuracy and performance in the same class as precision ground screws, yet without the extreme expense of grinding processes. Exclusive PSF Technology™ Precision Screw Forming (PSF) Tech- nology is based on a proprietary pro- cess of precision roll forming. Through years of research, development and partnering with steel suppliers and equipment manufacturers we have de- • Quiet operation: High degree of ac- curacy and exceptional surface finish assure quiet operation. • Consistent running torque: Precise screw cylindricality and ball-track roundness (max. deviation of 3 to 6 µm), both of which are necessary for consistent running torque in critical applications such as machine tool slides. • Preloads: Can be supplied with cus- tomer-specified preloads from zero to 13% of the dynamic load rating. • Flanges and Finish Machining: Available with flanged and non- flanged nut assemblies and machined standard end journals. veloped a CNC-based rolling process. At the heart of the process is the ability to dynamically control both roller dies as well as other variables in the manu- facturing process. The end result of this German-engineered process is the pro- duction of highly cost effective rolled product with capabilities equaling those normally attributed only to ground screws. Features and Benefits • Accuracy: Available in ISO accuracy grades P3 and P5 (permissible travel variation of 12 µm/300 mm and 23µm/ 300 mm, respectively), as well as in transport grades T5 and T7. • Smooth operation: Made of high car- bon alloy steel that we induction harden, stress relieve, and then pol- ish to insure excellent operating smoothness. The high precision alternative to costly ground ball screws. ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 3. 1Table of ContentsBS&A FineLine Ball Screws Product Specifications Pages 7-19 Technical Overview Pages 2-6 BS&A FineLine Ball Screws Table of Contents Engineering Reference Pages 20-28 ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ New Technical Overview & Functional Highlights Precision Screw Forming Technology™ ...................................3 Accuracy & Precision Classes ...................................................4 Preload Classes .........................................................................5 Ball Recirculation Techniques....................................................6 FineLine Ball Screws Product Specifications Metric Unit Sizes Part Numbers..............................................................................8 FineLine Ball Screw Assembly Availability ................................9 BS&A’s Ball Nut Types ..............................................................9 Standard Flanged Ball Nuts - FK & FH ..................................10 Standard Threaded Ball Nuts - ZG .........................................12 Flanged Ball Nuts - FL .............................................................14 Standard End Journals.............................................................16 English Unit Sizes Part Numbers............................................................................18 FineLine Ball Screw Assembly Availability ..............................18 Threaded Ball Nuts - ZG..........................................................19 Flanged Ball Nuts - FK & FL ...................................................19 Engineering Reference Efficiency & Torque ..................................................................21 Functional Life ..........................................................................22 Speed Limitations .....................................................................23 Buckling ....................................................................................24 Rigidity ......................................................................................25 Lead Accuracy ..........................................................................26 Lubrication ................................................................................27 Materials ...................................................................................27 Glossary ....................................................................................28 ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 4. © Danaher Motion2 Technical Overview Technical Overview & Functional Highlights ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 5. BS&A FineLine Ball Screws 3Technical Overview TechnicalOverview& FunctionalHighlights Precision Screw Forming Technology™ BS&A’s patented, German-engineered Precision Screw Forming (PSF) Tech- nology has created a higher perform- ing ball screw, combining outstanding precision—traditionally only associated with ground screws—with the manu- facturing efficiency of rolled processes. The result is an affordable ball screw with highest precision and outstanding performance. BS&A FineLine ball screws are equal in accuracy and performance to ground screws of the same accuracy class, but with harder grain structures (see inset), lower costs, and short manu- facturing times (provides significantly reduced lead times for our customers). PSF Technology consistently produces screws with accuracies ranging up to P3 class tolerances (ISO 3408 stan- dard), a dramatic improvement over existing rolled manufacturing processes that typically produce only transport- grade screws (up to class 7). PSF Technology brings affordable precision to a range of new applications. What is PSF Technology? Precision Screw Forming is an exact- ing manufacturing process that results in a superior ball screw. First, high car- bon alloy steel blanks are processed into screws of length up to four meters (over 13 feet) in a special CNC-con- trolled, dual-movable-die, cold-forming machine. Second, the screw forms are induction-hardened and stress-relieved. Next, the screws are polished to pro- duce a ball track with surface tough- ness superior to a ground screw. Fi- nally, the ball screw is mated with its nut (loaded to user specifications), in- spected and tested to customer re- quirements. The result is a high preci- sion, high quality ball screw/nut assem- bly. What are the Benefits of PSF Technology? Here are just some of the benefits as- sociated with ball screws made using PSF Technology: 1. FineLine ball screws offer low cost, high precision performance in ap- plications typically requiring ground screws. FineLine also offers the op- portunity for greater precision in ap- plications where ground screws have been too expensive to consider. 2. Responsive manufacturing & delivery times: PSF Technology is a fast, non- batch manufacturing process, with delivery times of less than two weeks, compared with the typical 2-3 month lead times of ground ball screws. 3. No hard spots: The PSF process does not expose hard spots (“corns”) as grinding does. Hard spots can mar ball surfaces and shorten screw life by up to 20%. 4. Quieter running: The superior sur- face finish of FineLine ball screws gives smooth operations with mini- mal noise. FineLine Ball Screws – Better Grain Structures In addition to equaling some of the top accuracy classes of ground screws, our FineLine Ball Screws offer a distinct advantage over ground screws in the screw’s arch. Screw rolling displaces grains, producing arch-shaped grain structures, while grinding removes material and leaves asperities exposed in the grain structure. FineLine rolled screws thus have increased rust resistance, and a stronger, arched grain structure that induces hard- ness under the surface of the screw. FineLine Ball Screws with PSF Technology Arched grain provides in- creased strength, hardness and durability, resulting in reduced friction and increased life. Typical Ground Ball Screw Grinding the screw reduces the integrity of the steel and leaves exposed asperities in the grain structure, which can reduce efficiency and useful life. Micrograph shows smooth, arched grain structure of a screw manufactured using PSF Technology. Profile of a rolled PSF Technology screw Micrograph shows grain structure of a ground screw. Profile of a ground screw ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 6. © Danaher Motion4 Technical Overview Accuracy & Precision Classes Accuracy is a measure of how closely a motion system will approach a com- mand position. Perfect accuracy, for example, means that advancing a ball nut a precise amount from a given point on the screw always requires ex- actly the theoretically predicted num- ber of revolutions. Accuracies may be specified by users in two ways. • Standards have been developed for simplicity in grouping sets of accura- cies. Tolerance classes have been established by ISO/DIN for the pur- pose of easily describing lead accu- racies for ball screws. • Absolute terms may define accura- ciessuchas.0005in/ftdeviation(typi- cally shown as tolerances on a drawing). FineLine ball screws are produced in two main tolerance classes: T (trans- port) and P (positioning). Transport grade ball screws are used in applica- tions requiring only coarse movement or those utilizing linear feedback for position location. As such, most trans- port grade screws are provided with nuts having backlash (T7 grade screws cannotbesuppliedwithpreloadednuts). Precision grade ball screws are used where repeatable positioning within mi- crons is critical, without the use of a linear feedback device. Differences between P & T grades are highlighted in the graph above. T grade transport screws allow greater cumula- tive variation over the useful length of the screw. P grade positioning screws contain accumulation of lead error to provide precise positioning over the screw’s entire useful length. Position grade screws are used in appli- cations such as CNC milling machines, medical imaging equipment, and lens grinding devices. In contrast, transport grade screws are used to drive door actuators or assembly line diverter gates. For additional information, see page 26 in the engineering reference section. ssalCecnareloT noitairavlevartelbissimreP mm003nihtiw nihtiwnoitairaV 2(noitulovereno πππππ )dar ]mµ[ ].ni[ ]mµ[ ].ni[ 3P 21 5000. 6 2000. 5P 32 9000. 8 3000. 5T 32 9000. 8 3000. 7T 25 0200. 21 5000. Allowable Variation Per Tolerance Class Usable Length of Ball Screw 0 300 600 900 1200 1500 1800 0 315 mm 1m 2m 3m 4m 5m P3 P5 T5 T7 PermissibleVariation[µm]Cumulative Lead Variation Over Usable Length ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 7. BS&A FineLine Ball Screws 5Technical Overview TechnicalOverview& FunctionalHighlights Preload Classes Clearance Grade (Type Z2) (No Preload) Preload (Type Z1) (Lightly preloaded) Precise Preload (Type Z0) (Precisely preloaded to customer specifications) Ph Ph+ Ph Ph F applied No Preload Ball bearings are undersized, thereby creating clearance between the nut and screw. Preloaded Oversized balls slightly larger than the ball groove space are used to provide four points of contact. Precise Preload The lead is offset by an amount, ∆Ph, to preload with two points of contact around the balls as shown. FineLine Ball Screws are available in three preload classes: Clearance Grade (no preload), Preload (lightly preloaded with four points of contact) and Precise Preload (preloaded with two points of contact to exact customer specifications). • Offers zero backlash between screw and nut. • The preload is approximately 5% of dynamic load capacity. • Typically used for positioning appli- cations where repeatability is critical. (Available with FK, FH & ZG style nuts.) • Offers zero backlash between screw and nut. • The preload is approximately 10% of dynamic load capacity, but can range from 2% to 13% as specified by cus- tomers. Drag torque is controlled within a designated range. • Typically used for positioning appli- cations where repeatability and high stiffness are required (high stiffness allows for high load carrying with minimum deflection). (Available only with FL nut.) • Axial play is present between screw and nut, which negatively affects re- peatability. • Introduces no additional drag torque. • Lead accuracy is unaffected, repeat- ability is approximately equal to back- lash amount. (Typical maximum backlash is .09 to .18 mm, depending on size.) • Typically used for transport applica- tions or vertical applications where low drag is desirable. (Available with FK, FH & ZG style nuts.) ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 8. © Danaher Motion6 Technical Overview Ball Recirculation Techniques A critical aspect of ball nut design is the manner in which the ball bearings are recirculated through the nut. BS&A has done extensive research on ball nut design, and has engineered two internal return systems: the single- liner ball return system and the end- cap ball return system. Internal sys- tems are compact, offer no protrusions to complicate mounting, are less likely to be damaged, and are designed to optimize ball circulation and rotational speed. The single-liner design allows the balls to travel one rotation about the screw before being diverted into the insert and back one thread pitch. Four or more liners are used to provide the necessary number of loaded turns to achieve the desired load capacity. Suc- cessive liners are typically staggered circumferentially about the body of the nut to balance the total ball contact around the screw. The simplicity of de- sign and economy of motion result in a compact and reliable ball return as- sembly. The return design is primarily used on fine lead screws. For higher leads, end-cap designs are preferable. The balls are allowed to ro- tate around the screw for the length of the nut before being re-directed by the end cap. This internal return channel runs from one end of the nut to the other and carries the balls back to the beginning of the circuit. The second end cap re-engages the balls with the screw, completing the circuit. The end cap design eliminates dead zones in the ball nut and optimizes load capac- ity. Rotational speed is enhanced through the geometry of the end cap diverter and the few number of returns required. Single-Liner Ball Return System End-Cap Ball Return System The single-liner ball return design is used for the FK, FL & ZG type nuts. The end-cap design offers distinct advantages and is the system used for the FH type nuts ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 9. BS&A FineLine Ball Screws 7Metric Unit Sizes Product Specifications FineLine Ball Screws Product Specifications Metric Unit Sizes ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 10. © Danaher Motion8 Metric Unit Sizes Metric Unit Sizes: Part Numbers -- - -0525 0095 -M FK P5 - Z1 - A - E-P Standard End Journals (see page 16) A = Fixed End B = Simple End C = Fixed End w/ Drive Journal D = Fixed End w/ Drive Journal and Keyway E = Free End Nut Loading (see page 5) Z0.XX = Precise Preload (Select 1%-13%. Available only with FL nut)* Z1 = Preload Z2 = No Preload Accuracy Class (see page 4) P3 P5 T5 T7 Screw Assembly Type P = Precision Ball Screws Screw Size Nominal Diameter [mm] 12 16 20 25 32 40 50 63 80 Screw Lead [mm/rev] 4 5 10 20 25 40 Length [mm] See Max Length on specification pages. Nut Type FK = Flange Nut (low lead) FH = Flange Nut (high lead) FL = Precision Flange Nut ZG = Threaded Nut End Machining First End Second End Unit M= Metric Assembly *For FL nut loading, the number selected indicates the preload force as a percentage of dynamic load capacity. For example, a 12% preload would be “Z0.12”. ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 11. BS&A FineLine Ball Screws 9Metric Unit Sizes Product Specifications Metric Series Availability lanimoN retemaiD ]mm[ tuN epyT ddaellanimoN 0 ]ver/mm[ 4 5 01 02 52 04 21 HF KF GZ LF 61 HF KF GZ LF 02 HF KF GZ LF 52 HF KF GZ LF 23 HF KF GZ LF 04 HF KF GZ LF 05 HF KF GZ LF 36 HF KF GZ LF 08 HF KF GZ LF kcotsni kcots-nonelbaliava Ball Nut Types FH (flanged nut, high lead) • Available with preload or no preload • Shortest nut length possible • Excellent economical solution ZG (threaded nut) • Available with preload or no preload • Solution for non-standard mounting FL (precision, flanged nut) • Available with precise preload • Excellent rigidity • Highest precision FK (flanged nut, standard lead) See page 10. • Available with preload or no preload • Shortest nut length possible • Excellent economical solution See page 10. See page 12. See page 14. BS&A is continually developing additional size offerings. Contact us if your desired size is not listed. FineLine Ball Screw Assembly Availability ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 12. © Danaher Motion10 Metric Unit Sizes Standard Flanged Ball Nuts—Clearance & Preload Grade FK & FH Nom. Nut Diam. Lead Type Performance Data Screw Dimensions Dynamic Static Max Axial Max d0 Ph0 Load Capacity (Cam ) Load Capacity (C0am ) Backlash Major ∅∅∅∅∅ Minor ∅∅∅∅∅ Length Screw Weight [mm] [mm] [kN] [lbf] [kN] [lbf] [mm] [mm] [mm] [mm] [kg/m] [lb/ft] 16 5 FK 9.5 2136 10.9 2450 0.09 15.6 12.7 3000 1.2 0.81 20 5 FK 11.5 2585 15.5 32484 0.09 19.6 16.7 4000 2 1.34 20 20 FH 11.5 2585 17.5 3934 0.09 19.6 16.7 4000 1.9 1.28 25 5 FK 13.1 2945 20.2 4541 0.09 24.6 21.7 5000 3.3 2.22 25 10 FH 22.9 5148 141.2 31742 0.09 24.6 21.7 5000 3.3 2.22 25 25 FH 13 2922 22.6 5080 0.09 24.6 21.7 5000 3.3 2.22 32 5 FK 19.3 4339 363 81602 0.09 31.6 287 6000 5.6 3.76 32 10 FK 26.4 5935 39 8767 0.15 31.6 27.1 6000 5.3 3.56 32 20 FH 47.2 10611 83.2 18703 0.15 31.6 27.1 6000 5.3 3.56 40 5 FK 26.3 5912 59.2 13308 0.09 39.6 36.7 6000 9 6.05 40 10 FK 64.9 14590 109 24503 0.18 39.6 34 6000 8.3 5.58 40 20 FH 52.2 11735 103.6 23289 0.15 39.6 35.2 6000 7.6 5.11 40 40 FH 59.7 13421 108.9 24481 0.18 39.6 34 6000 8.4 5.64 50 10 FK 66.4 14927 134.3 30191 0.18 49.5 43 6000 13.5 9.07 50 20 FH 78.8 17714 188.7 42420 0.16 49.5 446 6000 13.6 9.14 63 10 FK 93.8 21086 229.7 51637 0.18 62.5 56.9 6000 22 14.78 63 20 FH 103.1 23177 270.8 60876 0.18 62.5 56.9 6000 22 14.78 80 10 FK 121.9 27404 374.9 84281 0.18 79.5 73.9 6000 36.4 24.6 Note: All listed products available in P3, P5, T5 & T7 accuracy classes. Performance Specifications for ball screws with Flanged Ball Nuts Metric Series FK Style Nut Standard Flanged Ball Nut and Screw • Available with preload or no preload • Shortest nut length possible • Excellent economical solution FH Style Nut ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 13. BS&A FineLine Ball Screws 11Metric Unit Sizes Product Specifications Nom. Nut Diam. Lead Type Nut Dimensions [mm] d0 Ph0 D1 D4 D5 D6 L L1 L3 L7 L8 Nut Weight Ball ∅∅∅∅∅ (Dw ) [mm] [mm] g6 h12 ±1 +2 -0.5 h13 h13 [kg] [lbm] [mm] 16 5 FK 28 38 5.5 48 48.5 10 5.5 10 40 0.25 0.55 3.500 20 5 FK 36 47 6.6 58 48.5 10 5.5 10 44 0.35 0.77 3.500 20 20 FH 36 47 6.6 58 59 20 14 10 44 0.45 0.99 3.500 25 5 FK 40 51 6.6 62 49 10 6 10 48 0.37 0.82 3.500 25 10 FH 40 51 6.6 62 51 9 16 10 48 0.45 0.99 3.500 25 25 FH 40 51 6.6 62 71 20 15.5 10 48 0.55 1.21 3.500 32 5 FK 50 65 9 80 57 10 6 12 62 0.7 1.54 3.500 32 10 FK 50 65 9 80 73 16 6 12 62 0.8 1.76 5.556 32 20 FH 56 71 9 86 83 25 19 12 68 1.4 3.09 5.556 40 5 FK 63 78 9 93 66 10 7 14 70 1.2 2.65 3.500 40 10 FK 63 78 9 93 88.5 16 7 14 70 1.4 3.09 7.144 40 20 FH 63 78 9 93 83 25 19.5 14 70 1.6 3.53 5.556 40 40 FH 70 85 9 100 104 25 21 14 77 2.4 5.29 7.144 50 10 FK 75 93 11 110 92 16 7 16 85 2 4.41 7.144 50 20 FH 75 93 11 110 85 16 22 16 85 2.2 4.85 6.350 63 10 FK 90 108 11 125 103.5 16 7 18 95 3 6.61 7.144 63 20 FH 95 115 13.5 135 86 18 24 20 100 3.8 8.38 7.144 80 10 FK 105 125 13.5 145 121 16 9 20 110 3.9 8.6 7.144 Standard Flanged Ball Nuts—Clearance & Preload Grade FK & FH D6 D1 D1 D5 L L1 D7 D1 Wiper L10 L7 L3 +0.0 -0.3 -0.1 -0.6 d0 ³ 40 mmd0 < 40 mm 6 ´ D5 on D4 B.C.D. 6 ´ D5 on D4 B.C.D. d0 ³ 40 mm d0 < 40 mm Dimensional Specifications for ball screw nuts (Flanged Ball Nuts) ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 14. © Danaher Motion12 Metric Unit Sizes Standard Threaded Ball Nuts—Clearance & Preload Grade ZG Standard Threaded Ball Nut and Screw • Available with preload or no preload • Solution for non-standard mounting Nom. Nut Diam. Lead Type Performance Data Screw Dimensions Dynamic Static Max Axial Max d0 Ph0 Load Capacity (Cam) Load Capacity (C0am) Backlash Major ∅∅∅∅∅ Minor ∅∅∅∅∅ Length Screw Weight [mm] [mm] [kN] [lbf] [kN] [lbf] [mm] [mm] [mm] [mm] [kg/m] [lb/ft] 12 4 ZG 3.5 787 4 899 0.07 11.6 9.7 3000 0.7 0.47 16 5 ZG 12.1 2720 14.5 3260 0.09 15.6 12.7 3000 1.2 0.81 20 5 ZG 14.8 3327 20.7 4653 0.09 19.6 16.7 4000 2 1.34 25 5 ZG 20.4 4586 33.7 7576 0.09 24.6 21.7 5000 3.3 2.22 25 10 ZG 19.9 4474 31.8 7149 0.09 24.6 21.7 5000 3.3 2.22 32 5 ZG 23.3 5238 45.5 10228 0.09 31.6 287 6000 5.6 3.76 32 10 ZG 33.8 7598 52 11690 0.15 31.6 27.1 6000 5.3 3.56 40 5 ZG 26.3 5912 59.2 13308 0.09 39.6 36.7 6000 9 6.05 40 10 ZG 78.6 17669 136.2 30618 0.18 39.6 34 6000 8.3 5.58 50 10 ZG 97.8 21985 213.2 47927 0.18 49.5 43 6000 13.5 9.07 63 10 ZG 109.7 24661 275.6 61955 0.18 62.5 56.9 6000 22 14.78 80 10 ZG 121.9 27403 375 84300 0.18 79.5 73.9 6000 36.4 24.46 Note: All listed products available in P3, P5, T5 & T7 accuracy classes. Performance Specifications for ball screws with Threaded Ball Nuts Metric Series ZG Style Nut ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 15. BS&A FineLine Ball Screws 13Metric Unit Sizes Product Specifications Standard Threaded Ball Nuts—Clearance & Preload Grade ZG Nom. Nut Diam. Lead Type Nut Dimensions [mm] d0 Ph0 D1 D11 D12 D13 L L11 L12 L13 Nut Weight Ball ∅∅∅∅∅ (Dw ) [mm] [mm] h12 ±0.1 ±1 -0.5 ±2 ±2 [kg] [lbm] [mm] 12 4 ZG 25.5 M 20 x 1.0 3.2 - 34 10 12.0 - 0.1 0.22 1.984 16 5 ZG 32 M 30 x 1.5 M 6 x 1 4 57.5 16.5 10.5 22.0 0.22 0.49 3.500 20 5 ZG 38 M 35 x 1.5 M 6 x 1 4 57.5 16.5 10.5 22.0 0.3 0.66 3.500 25 5 ZG 42 M 40 x 1.5 M 6 x 1 4 63.5 17 10.5 23.0 0.37 0.82 3.500 25 10 ZG 42 M 40 x 1.5 M 6 x 1 4 61 17 10.0 21.0 0.38 0.84 3.500 32 5 ZG 52 M 48 x 1.5 M 6 x 1 5 65.5 19 10.5 23.0 0.55 1.21 3.500 32 10 ZG 52 M 48 x 1.5 M 6 x 1 5 85 19 12.0 43.0 0.65 1.43 5.556 40 5 ZG 58 M 56 x 1.5 M 8 x 1 5 67.5 19 12.0 22.5 0.6 1.32 3.500 40 10 ZG 65 M 60 x 2.0 M 8 x 1 6 105.5 27 13.0 43.0 1.25 2.76 7.144 50 10 ZG 78 M 72 x 2.0 M 8 x 1 6 118 29 13.0 53.0 1.95 4.30 7.144 63 10 ZG 92 M 85 x 2.0 M 8 x 1 6 118 29 13.0 53.0 2.4 5.29 7.144 80 10 ZG 120 M 110 x 2.0 M 8 x 1 8 126 34 15.5 53.0 4.9 10.8 7.144 D 12 L 12 L 13 D 13 L11 Wiper D11 L D1 Dimensional Specifications for ball screw nuts (Threaded Ball Nuts) ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 16. © Danaher Motion14 Metric Unit Sizes Flanged Ball Nuts—Precise Preload Grade FL Flanged Ball Nut and Screw • Available with precise preload • Excellent rigidity • Highest precision Nom. Nut Diam. Lead Type Performance Data Screw Dimensions Dynamic Load Static Load Min. Max Axial Number Major Minor Max d0 Ph0 Capacity (Cam) Capacity (C0am) Stiffness (Rnu)*Backlash of Loaded ∅∅∅∅∅ ∅∅∅∅∅ Length Screw Weight [mm] [mm] [kN] [lbf] [kN] [lbf] [kN/µm] [mm] Turns [mm] [mm] [mm] [kg/m] [lb/ft] 16 5 FL 6.7 1506 7.2 1619 0.16 0.00 2 + 2 15.6 12.7 3000 1.2 0.81 20 5 FL 11.5 2585 15.5 3484 0.30 0.00 3 + 3 19.6 16.7 4000 2 1.34 25 5 FL 12.6 2832 19.1 4294 0.38 0.00 3 + 3 24.6 21.7 5000 3.3 2.22 32 5 FL 19.3 4339 36.4 8183 0.60 0.00 4 + 4 31.6 287 6000 5.6 3.76 32 10 FL 26.4 5935 39 8767 0.49 0.00 3 + 3 31.6 27.1 6000 5.3 3.56 40 5 FL 26.3 5912 59.2 13308 0.89 0.00 5 + 5 39.6 36.7 6000 9 6.05 40 10 FL 64.9 14590 109 24503 0.94 0.00 4 + 4 39.6 34 6000 8.3 5.58 50 10 FL 66.4 14927 134.3 30191 1.18 0.00 4 + 4 49.5 43 6000 13.5 9.07 63 10 FL 93.8 21086 229.7 51637 1.74 0.00 5 + 5 62.5 56.9 6000 22 14.78 80 10 FL 121.9 27404 375 84303 2.45 0.00 6 + 6 79.5 73.9 6000 36.4 24.6 Note: FL listed products available in P3 accuracy class only. *Nut stiffness based on 10% preload (F=10% × Cam). Performance Specifications for ball screws with Flanged Ball Nuts Metric Series FL Style Nut ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 17. BS&A FineLine Ball Screws 15Metric Unit Sizes Product Specifications Flanged Ball Nuts—Precise Preload Grade FL Nom. Nut Diam. Lead Type Nut Dimensions [mm] d0 Ph0 D1 D4 D5 D6 L L1 L3 L7 L8 Nut Weight Ball ∅∅∅∅∅ (Dw ) [mm] [mm] g6 h12 ±1 +2 -0.5 h13 h13 [kg] [lbm] [mm] 16 5 FL 28 38 5.5 48 55 10 5.5 10 40 0.21 0.46 3.500 20 5 FL 36 47 6.6 58 68.5 10 5.5 10 44 0.38 0.84 3.500 25 5 FL 40 51 6.6 62 69.5 10 6 10 48 0.38 0.84 3.500 32 5 FL 50 65 9 80 83 10 6 12 62 0.72 1.59 3.500 32 10 FL 50 65 9 80 105.5 16 6 12 62 0.82 1.81 5.556 40 5 FL 63 78 9 93 97 10 7 14 70 1.3 2.87 3.500 40 10 FL 63 78 9 93 142 16 7 14 70 1.5 3.31 7.144 50 10 FL 75 93 11 110 144 16 7 16 85 2.2 4.85 7.144 63 10 FL 90 108 11 125 166 16 7 18 95 3.3 7.28 7.144 80 10 FL 105 125 13.5 145 192 16 9 20 110 4.3 9.48 7.144 Dimensional Specifications for ball screw nuts (Flanged Ball Nuts) D6 D1 D1 D5 L L1 D7 D1 Wiper L10 L7 L3 +0.0 -0.3 -0.1 -0.6 d0 ³ 40 mmd0 < 40 mm 6 ´ D5 on D4 B.C.D. 6 ´ D5 on D4 B.C.D. d0 ³ 40 mm d0 < 40 mm ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 18. © Danaher Motion16 Metric Unit Sizes Standard End Journals C do d5 d7 d8 L29 L32 L31 B d6 d5 do L24 L23 L27 A d7 d5 do L32 L34 do D d5 d7 d8 L29 L32 L31 WxD L33 E do d0 End Journal End Journal [mm] Type B: DIN 625 Types A, C: DIN 628 Lock Nut: DIN 631 16 6001 7301 B KM 1 20 6002 7302 B KM 2 25 6004 7204 B KM 4 32 6205 7305 B KM 5 40 6206 7306 B KM 6 50 6208 7308 B KM 8 63 6210 7310 B KM 10 80 6212 7312 B KM 12 DIN 625 DIN 628 Bearings & Lock Nuts for recommended end journal bearings Specifications for standard end journals [mm] d0 d5 d6 d7 d8 L23 L24 L27 L29 L30 L31 L32 L34 W x L33 x D j6 h12 h7 h13 16 12 11.5 M12 x 1.0 10 10.5 8 1.1 59 35.5 25 10 33 3 x 18 x 1.8 20 15 14.0 M15 x 1.0 12 13 9 1.1 62 48 35 12 37 4 x 27 x 2.5 25 20 19.0 M20 x 1.0 16 16 12 1.3 86 61 45 14 41 5 x 36 x 3 32 25 23.9 M25 x 1.5 20 19 15 1.3 104 74 55 17 49 6 x 45 x 3.5 40 30 28.6 M30 x 1.5 25 21 16 1.6 117 85 64 17 53 8 x 50 x 4 50 40 37.5 M40 x 1.5 36 25 18 1.85 143 96 78 21 65 10 x 63 x 5 63 50 47.5 M50 x 1.5 40 27 20 2.0 169 127 100 25 70 12 x 78 x 5 80 60 57.5 M60 x 2.0 50 29 22 2.15 201 149 120 30 81 14 x 100 x 5.5 Fixed End Simple End Fixed End with Drive Journal Fixed End with Drive Journal and Keyway Free End A - E Standard End Journal Types A = Fixed End B = Simple End C = Fixed End w/Drive Journal D = Fixed End w/Drive Journal and Keyway E = Free End End Machining First End Second End End Journal Orientation -- - -0525 0095 -M FK P5 - Z1 --P See page 8 for complete explanation of part numbering. Type First End Second End Note: Ball nut orientation as shown ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 19. BS&A FineLine Ball Screws 17English Unit Sizes Product Specifications FineLine Ball Screws Product Specifications English Unit Sizes New ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 20. © Danaher Motion18 English Unit Sizes Standard End Journals (see page 16) A = Fixed End B = Simple End C = Fixed End w/ Drive Journal D = Fixed End w/ Drive Journal and Keyway E = Free End Nut Loading (see page 5) Z0.XX = Precise Preload (Select 1%-13%. Available only with FL nut)* Z1 = Preload Z2 = No Preload Accuracy Class (see page 4) P3 P5 T5 T7 Screw Assembly Type P = Precision Ball Screws Screw Size Nominal Diameter [in x 1000] 625 Screw Lead [in x 1000/rev] 200 500 1000 Nut Type FK = Flange Nut (low lead) FH = Flange Nut (high lead) FL = Precision Flange Nut ZG = Threaded Nut First End Second End Unit E = English Assembly (Inch Lead) Screw Length [in] See Max Length on specification pages. -- - -200625 16.50 -E ZG P5 - Z1 - A - E-P FineLine Ball Screw Assembly Availability - English Series lanimoN retemaiD ]ni[ tuN epyT ddaellanimoN 0 ]ver/ni[ 002. 005. 000.1 526. KF GZ LF kcotsni kcots-nonelbaliava . English Unit Sizes: Part Numbers End Machining BS&A is continually developing additional size offerings. Contact us if your desired size is not listed. New ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 21. BS&A FineLine Ball Screws 19English Unit Sizes Product Specifications Nom. Nut Diam. Lead Type Nut Dimensions [in] d0 Ph0 D1 D4 D5 D6 L L1 L3 L7 L8 Nut Weight Ball ∅∅∅∅∅ (Din ) [in.] [in.] g6 h12 ±0.04 +0.08 -0.02 h13 h13 [kg] [lbm] [in] 0.625 0.200 FK 1.10 1.50 0.22 1.89 1.91 0.39 0.22 0.39 1.57 0.25 0.55 0.138 0.625 0.200 FL 1.10 1.50 0.22 1.89 2.17 0.39 0.22 0.39 1.57 0.21 0.46 0.138 Flanged Ball Nuts - Clearance & Preload Grades (FK) and Precise Preload Grade (FL) English Unit Sizes Nom. Nut Diam. Lead Type Performance Data Screw Dimensions Dynamic Static Max Axial Max d0 Ph0 Load Capacity (Cam ) Load Capacity (C0am ) Backlash Major ∅∅∅∅∅ Minor ∅∅∅∅∅ Length Screw Weight [in] [in] [kN] [lbf] [kN] [lbf] [in.] [in.] [in.] [in.] [kg/m] [lb/ft] .625 .200 ZG 12.1 2720 14.5 3260 0.0035 0.61 0.5 118 1.2 0.81 .625 .200 FK 9.5 2136 10.9 2450 0.0035 0.61 0.5 118 1.2 0.81 .625 .200 FL 6.7 1506 7.2 1619 0.0000 0.61 0.5 118 1.2 0.81 Note: FK and ZG products available in P3, P5, T5 & T7 accuracy classes; FL available in P3 only. Performance Specifications for ball screws 6 ´ D5 on D4 B.C.D. D6 D1 D1 D5 L L1 D7 D1 Wiper L10 L7 L3 +0.0 -0.3 -0.1 -0.6 Nom. Nut Diam. Lead Type Nut Dimensions [in] d0 Ph0 D1 D11 D12 D13 L L11 L12 L13 Nut Weight Ball ∅∅∅∅∅ (Dw ) [in.] [in.] h12 ±0.004 ±0.04 -0.02 ±0.08 ±0.08 [kg] [lbm] [in.] 0.625 0.200 ZG 1.26 M 30 x 1.5 M 6 x 1 0.157 2.26 0.65 0.41 0.87 0.22 0.49 0.138 Threaded Ball Nuts - Clearance Preload Grade (ZG) D12 L12 L13 D13 L11 Wiper D11 L D1 New ZG Style Nut FK & FL Style Nuts Dimensional Specifications for ball screw nuts ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 22. © Danaher Motion20 Engineering Reference Engineering Reference ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 23. BS&A FineLine Ball Screws 21Engineering Reference EngineeringReference Efficiency & Torque Ta FF Te F The ball screw assembly’s performance in converting between linear motion and rotational torque is its efficiency, η. Efficiency depends primarily on geo- metrical data, though various operat- ing influences can swing actual effi- ciency by ±5% from the calculated. As such, to account for operational influ- ences such as speed, temperature, lu- The theoretical efficiency (η), when converting torque into linear motion is: The theoretical efficiency (η′ ), when converting linear motion into torque is: Ta FF Te F When converting torque into linear motion, the necessary drive torque is: When converting linear motion into torque, the resulting output torque is: bricant, etc., approximately 5% of the theoretical efficiency should be de- ducted. Furthermore, if the ratio of load (F) to dynamic load rating (Cam) is below 0.5, then an additional reduction in relation to the load factor is to be applied (see table below for fL). The efficiency calculated on this basis applies for the ball screw including lu- brication but without considering wip- ers or shaft support. If an improvement in efficiency is re- quired, please contact our engineering department. For approximate torque based on 90% efficiency: T 0.177 F Pa h0= × × ρ" = friction angle (0.23° for P-class tolerances, 0.34° for T-class tolerances) ϕ = lead angle Ph0, d0 = lead & diameter (see product specifications) F = axial load Cam = dynamic load rating Ta = drive torque Te = output torque fL = adjusted to load factor η, η′ = theoretical efficiency Load Adjustment Factors Parameters: T .143 F Pe h0= × × Efficiency: Rotary to Linear Efficiency: Linear to Rotary Torque: Rotary to Linear Torque: Linear to Rotary Practical Efficiency: Example Parameters: 40 x 10 mm screw, P3 class F = 10 kN Cam = 53.9 kN Rotary to Linear Application The lead angle, ϕ, is found: The loading ratio is small, so a load adjustment factor is required: P3 precision indicates friction angle of ρ"=0.23° Thus, the theoretical efficiency is: F C ma f(rotcafdaolottnemtsujdA L ) 5.0 00.1 4.0 99.0 3.0 89.0 2.0 79.0 1.0 69.0 Applying the load adjustment factor and 5% reduction gives practical efficiency of: Torque required to drive the load is given by: T T a a = × × × = 10 000 010 2 88 18 1 , . . . [N] [m] [Nm] π η ϕ ϕ ρ π = +( ) tan tan " with tan P d h0 0 ϕ = × η ϕ ρ ϕ ϕ π ′ = −( ) = × tan " tan with tan P d h0 0 η ηp Lf= × ×.95 T F P 2a h0 = × × ×π ηp T F P 2 e h0 = × × × η π ′p tan . . ϕ π ϕ = × = = ° 10 40 0 08 4 55 η = °+ °( ) = 0 08 4 55 0 23 96 . tan . . . F C f am L = = ≈ 10 53 9 0 19 0 97 . . . η η η η p L p p f= × × = × × = ± . . . . . % 95 96 95 97 88 5 ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 24. © Danaher Motion22 Engineering Reference Functional Life neq n1 n2 n3 q1 q2 q3 100 n[rpm] q % q1 q2 q3 100 F[N] q % F1 F2 F3 Feq q1 q2 q3 100 F[N] q % Fm1 Fm2 Fm3 Feq F1max F1min F/2 F/2 F F F 0.01 A P3 0.02 A P5, T5, T7 A Tolerances: 0.01/100 P3 0.02/100 P5, T5, T7 Tolerances: 0.01/100 A -A- Nut Mounting Use the following guidelines to achieve optimal performance. Nut Loading Axial loading (on nut or screw) is optimal for performance and life. For applications requiring radial loads, please contact us. n n q 100 eq i 1 n i 1 i min= ×     = − ∑ F F n n q 100 eq i i eq i i 1 n 1/3 3 N= × ×       [ ] = ∑ F F n n q 100 eq mi i eq i i 1 n 1/3 3 N= × ×       [ ] = ∑ Modified Life L C F 1010 am eq 3 6 rev=           × [ ] L L n 60 h10 10 eq hours= × [ ] Parameters: neq = equivalent rotational speed [rpm] Feq = equivalent load [N] Cam = modified dynamic load rating [N] (see specification tables) Axial Loading: optimal Radial Loading: detrimental* Life The ball screw assembly’s useful life will vary according to load and speed. Life is typically rated at 90% confi- dence, L10 (which represents time at which 90% of assemblies still perform). Simple rotational speed profile Functional life should be determined by approximating equivalent rotational speed and loading force over typical performance cycles. Simple loading profile (1) Simple loading profile (2) *Minimize radial loading to less than 5% of the axial load. ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 25. BS&A FineLine Ball Screws 23Engineering Reference EngineeringReference Speed Limitations Critical Rotational Speed Eccentricities in the screw will cause harmonic vibration at the critical rota- tional speed (ncr ). Vibration speed and magnitude are determined by shaft di- ameter, unsupported length, type of bearing support, position of the ball nut in the stroke, how the ball nut is n ncr [rpm] Maximum speed 4000 3500 3000 2500 2000 1800 1600 1400 1200 1000 900 800 700 600 500 450 400 350 16 635040322520 80 ncr[rpm] screw size d0 [m m ] Critical Length 300 250 200 150 100 0.7 10.90.8 1.2 1.4 1.6 1.8 2 2.5 3 3.5 4 4.5 5 5.5 6 7 8 9 10 lcr .103 [mm] CriticalHarmonicSpeed mounted, the shaft or ball nut rpm, etc. (Shaft vibrations may also be caused by a bent screw or faulty installation alignment.) BS&A recommends a 20% safety factor below critical harmonic speed. ssalcecnareloT timildeepslanoitatoR ]mpr[ 5T,5P,3P d/000,041 0 ]mm[ 7T d/000,001 0 ]mm[ Example A maximum rotational speed limit should be observed according to toler- ance and shaft diameter regardless of critical speed limit compliance. d ≈ + [ ] ≈ [ ] [ ] = [ d d 2 d d D D Ball l critical length 0 3 3 0 w w cr mm mm mm mm − = φ ]] =f mounting condition speed adjustment factor cr Critical Harmonic Speed Chart Parameters: d0 = 63 mm lcr = 2700 mm Fixed-simple loading Reading from chart, using length and screw size, gives critical rotational speed ncr = 970 rpm. Fixed-simple mounting indicates speed adjustment factor of fcr = 1.56. Thus, the recom- mended maximum speed is: ncrp = 0.8 x 970 x 1.56 ncrp = 1210 rpm Parameters: Critical harmonic speed: Recommended maximum speed: n 1.2 10 d l rpm n 0.8 n f rpm cr 8 cr crp cr cr 2 = × × [ ] × [ ]= × lcr lcr fcr = 0.356 lcr fcr = 1 lcr fcr = 1.56 lcr fcr = 2.27 Simple-Simple Fixed-Simple Fixed-Fixed Mounting Condition Effects Fixed-Free ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 26. © Danaher Motion24 Engineering Reference lcr lcr fcr = 0.356 Buckling Fc Compression loads (where force pushes on bearing and support) tend to cause the screw shaft to bend, re- Parameters: d0 = 63 mm, Ph0 = 10 mm lc = 5200 mm Fixed-simple loading Reading from chart, using length and screw size, gives Fc = 45 kN. Fixed-simple loading indicates a mounting condition load adjustment factor of fc = 2.0 (from above). Thus, the recommended maximum load is: Fcp = 0.8 x 45 x 2 Fcp = 72 kN Fc [N] Example quiring larger screw diameters than for comparably loaded tensile situations. Where possible, applications should be designed for tension loading (where force pulls on bearing and support.) Parameters: Critical buckling force: Recommended maximum force: F 1.017 10 l F 0.8 c 5 c cp 2 N= × × [ ] = × × [ ] d F f 4 c c N d d d 2 d nominal diameter d d D D Bal 0 3 0 3 0 w w mm mm mm ≈ + [ ] = [ ] ≈ − [ ] = ll (see production specifications) l stroke le mm c φ [ ] = nngth f mounting condition load adjustment fac mm c [ ] = ttor Critical Buckling Force Chart lcr fcr = 1 lcr fcr = 1.56 lcr fcr = 2.27 Simple-Simple Fixed-Simple Fixed-Fixed Mounting Condition Effects Fixed-Free ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 27. BS&A FineLine Ball Screws 25Engineering Reference EngineeringReference Rigidity l1 l2 l2 l For most low-load applications, screw rigidity is not an essential design con- sideration, as screw deflection is very small compared with travel variation. For high precision, high load applica- tions, however, deflection caused by loading may be significant. In these cir- cumstances, precisely preloaded nuts should be used (series FL) to assure adequate system rigidity. Screw shaft cross-sectional area 1 R 1 R 1 Rtot s nu N/ m= + [ ]µ Rigid mounting at one end Rigid mounting at both ends d0 ]mm[ 61 02 52 23 04 05 36 08 P 0h ]mm[ 5 5 52-5 5 01 5 04-01 02-01 02-01 01 02 mm[A 2 ] 261 362 824 327 586 5511 5701 5071 3282 0564 2144 R l 10 s 1 3 N/= × × [ ] A E mµ R A E l 10 l l l R is minimum for l 0.5 l s 2 3 2 s 2 N/ m= × × × − [ ] = ×( ) µ Screw Shaft Rigidity The total rigidity Rtot of the ball screw unit is determined by the rigidities of the screw shaft (Rs -1 see below) and of the nut unit (Rnu -1 see product specifi- cation tables). Overall rigidity (without bearing) is calculated as: Parameters: Parameters: E 21 10 l, l A Cross sectional area o 4 2 1 N/mm mm = ×     [ ] = ff screw shaft (see below) E 21 10 l, l A Cross sectional area 4 2 2 N/mm mm = ×     [ ] = oof screw shaft (see below) Screw Shaft Rigidity ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 28. © Danaher Motion26 Engineering Reference Lead Accuracy + - l1 lu le le l0 300 mm v300p vup vup ep ep c ∆l0 v2πp 2πrad +- l1 le lelu l0 v300p 300 mm epep 0 ∆l0 ssalCycaruccA 3P 5P 7T,5T v p003 levartmm003nihtiwnoitairavlevartelbissimreP 1elbaT 1elbaT 1elbaT v2πp 2nihtiwnoitairavlevartelbissimreP π levart 1elbaT 1elbaT - c erutarepmetrofnoitasnepmoC - - - ep levartlufesunoecnareloT lu 3elbaT 3elbaT v pu levartlufesunihtiwnoitairavlevartelbissimreP lu 3elbaT 3elbaT - Permissible Travel Deviations Lead accuracy is specified by a toler- ance class. The primary difference be- tween the two tolerance class types T - Transport Class Ball Screws Maximum error over useful length = ep l1 = Axial thread length lu = Usable travel le = Excess travel l0 = Nominal travel ∆l0 = Travel deviation lu ]mm[ > 513 004 005 036 008 0001 0521 0061 0002 0052 0513 0004 0005 ≤ 513 004 005 036 008 0001 0521 0061 0002 0052 0513 0004 0005 0036 ecnareloT ssalC P3 ep ]mµ[ 21 31 51 61 81 12 42 92 53 14 05 26 67 - vup ]mµ[ 21 21 31 41 61 71 91 22 52 92 43 14 94 - P5 ep ]mµ[ 32 52 72 03 53 04 64 45 56 77 39 511 041 071 vup ]mµ[ 32 52 62 92 13 53 93 44 15 95 96 28 99 911 ssalCecnareloT 3 5 7 v [p003 µ ]m 21 32 25 v2π [p µ ]m 6 8 - daellanimoN P 0h ]mm[ ≤ 5 ≤ 01 ≤ 02 > 02 levartssecxE le ]mm[ 02 04 06 08 Parameters Permissible travel variation (Table 1) P - Positioning Class Ball Screws Maximum error over useful length = ep+1 /2vup+C Excess travel (Table 2) Permissible cumulative travel variation over long distances (Table 3) offered is the way they control cumu- lative lead error. P class ball screws are more precise over long lengths than T class screws. Variation infor- mation for FineLine Ball Screws is given here. 2 300 300× × l Vu p ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 29. BS&A FineLine Ball Screws 27Engineering Reference EngineeringReference Lubrication & Materials Average Speed n eq [rpm] Nominal d0 [mm] Temperature [°C] Oil Viscosity Determination Chart Example Parameters: Average speed, neq = 200 rpm Operating temperature, t = 25°C Diameter, d0 = 63 mm For the nominal diameter 63 mm and neq = 200 rpm the left part of the diagram indicates a viscosity υ1 of 110 mm2 /s. Correct lubrication of ball bearing screws is not only a must for achiev- ing the calculated lifetime, but also is important for quiet running, for reduc- ing temperature rise during operation, and for reducing the no-load torque. If the customer does not prescribe any- thing else, the final acceptance test at the factory will be performed with an oil ISO VG100. Other acceptable vis- cosities include ISO VG68, VG150 and VG200. Oil lubrication Generally, the use of CL oils or the use of alloyed CLP oils with EP addi- tives increase the corrosion prevention and the resistance to aging. The cor- rect viscosity depends on the circum- ference, speed (diameter and revolu- tion), and the ambient and/or the an- ticipated operating temperature. The precise amount of oil required per ball circle depends on the revolving speed. Amounts of approximately 0.3 to 0.5 cm3 /h are adequate when using oil, or roughly 10% of this amount for greases. For submerged lubrication in a horizontal installation, oil levels at the center of the lowest ball are adequate. Grease lubrication Ball bearing screws can also be lubri- cated with grease, reducing time be- tween required lubrications. In operation, a small quantity of grease escapes from the nut and remains on the screw with each stroke (even with the best wipers), causing the grease supply to decrease during operation. To achieve calculated unit lifetime, L10, it is therefore necessary either to cre- Projection of this value into the right diagram, with a temperature of 25°C results in the intersection point between ISO VG46 and ISO VG68. To guarantee a sufficient lubrica- tion film at all working conditions, the higher value should be chosen, in this case ISO VG68, (at long operating times, possibly even higher viscosities could be used). ate a lubrication time table or create a central lubrication installation system. For manual relubrication an average value of 700 operating hours can be assumed. This indication varies largely as a function of the machine construc- tion and the application. The grease quantity has to be defined so that the cavities are approximately half full. Un- necessary temperature rise of the ball bearing screw by overgreasing is to be avoided by making sure that con- sumed grease or excess grease can escape. Greases are divided into NLGI classes according to DIN 51818. Normally for ball bearing screws, water resistant greases of class K2K20 (DIN 51825) have to be used (operating tempera- ture -20°C to +120°C). In special cases greases K1K-20 (at very high number of revolutions) and/or KP2K-20 (at high load and/or low speed) are also pos- sible. traP lairetaM tnemtaerTtaeH tfahswercS N35fC~ denedrahnoitcudnI tuN 5rCnM91 dezirubraC repiW nolyN llaB 6rC001 CRH2±26 Materials Our typical materials for components are shown below. Additional heat or surface treatments are available upon request including chrome plating (Armaloy). Please contact us for any additional requirements. ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 30. © Danaher Motion28 Engineering Reference Accuracy A measure of how closely a motion system will approach a com- mand position. Perfect accuracy, for example, means advancing a ball nut exactly the same amount every time from a specific point on a screw will always require the theoretically predi- cated number of revolutions. Backdrive Application of a force on a ball nut to cause rotation of the screw shaft; in essence, converting linear to rotary motion. Backlash Free axial motion that is measured in a ball screw system. Ball Circle Diameter The distance between the centerlines of two exactly opposing recirculating balls when they are in contact with the screw. The ba- sic point of reference used by BS&A when dealing with ball screws. Compression Load A force that would tend to squeeze the screw in an axial direction. Critical Speed The condition where the rotary speed of the assembly sets up harmonic vibrations. These vibra- tions are the result of shaft diameter, unsupported length, type of bearing support, ball nut mounting method, or the shaft or ball nut rpm. Cycle The complete load-carrying ex- tension and retraction of the screw or nut. Each cycle consists of two strokes (one forward and one back to the point of origin). Dynamic (Operating) Load The axial force which the ball screw will experience during movement. Efficiency Expressed as a percent- age, the ability of a ball screw assem- bly to convert torque to thrust with mini- mal mechanical loss. End Fixity The bearing configura- tions that are used to support the ends of a ball screw assembly. Lead The axial advance of the ball nut per revolution of the screw. Linear Expansion Ball screw and spline inner races have a coefficient of linear expansion of 0.0000065 for each degree of change (F) and for each inch of race length. Lubrication To provide the maximum useful life, ball screws require lubrica- tion. In general, standard ball bearing lubrication practices are acceptable. Off-Center Load A load that tends to create misalignment between the ball nut and screw shaft, which causes rotational binding and shortened op- erational life. Operating Loads The normal oper- ating force which the ball screw will experience is considered the operat- ing load. Contact BS&A’s application engineering for applications subject to widely fluctuating loads or to optimize design. Preload A method of loading one set of bearing balls in opposition to each other to eliminate all axial freedom. Preloading increases system stiffness and eliminates backlash. Repeatability The degree to which a system will return to the same com- mand position over time. Axial back- lash degrades repeatability by introduc- ing uncertainty into the absolute nut position. Root Diameter The diameter of the screw shaft as measured at the bot- tom of the ball track. Screw Diameter (land diameter) The outside diameter of the screw shaft. Screw Starts The number of indi- vidual threads on a screw shaft. Side Load A radial force that signifi- cantly reduces rated life and can po- tentially lead to premature failure. Static (Maximum) Load The maxi- mum force that can be resisted with- out causing damage to the screw com- ponent with the system at rest. Stiffness A ratio of load versus de- flection of a component or of a total system. Straightness Radial variation from a theoretically perfect cylinder of the same diameter. Stroke The maximum length of travel required for the nut. Temperature (operating) With suit- able lubricants, ball screws will oper- ate with a minimum loss of efficiency between temperatures of -65° to +300°F (-53° to +149°C). Contact BS&A for extreme temperatures. Tension Load A force in a direction that would tend to stretch the screw. Torque The force required to drive a ball screw in converting rotary to lin- ear motion. Travel and Travel Rate The distance a ball nut moves relative to the screw shaft. Travel rate is the distance trav- eled in a specific time period. Glossary ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 31. Application Requirements Company: ____________________________________________________ ____________________________________________________ ____________________________________________________ Contact: Technical: __________________________ Phone: _________________ Fax: ______________________ Email: __________________ Purchasing: __________________________ Phone: _________________ Fax: ______________________ Email: __________________ Application: _____________________________________________________ New application ______________________________________________________ Existing application Parameters: Nominal diameter d0 ______________ Lead __________________ Ph0 in mm Lead direction right left Maximum travel deviation within 300 mm (12 in) _______________ 1/10000 in µm Total length _____________________ [mm] Quantity __________ per year Load ratings: Load: lbf or N Speed: rpm Duty Cycle: % F1 = _____________________ n1 _______________________ q1 _____________________ F2 = _____________________ n2 _______________________ q2 _____________________ F3 = _____________________ n3 _______________________ q3 _____________________ Max. static load _________________________________________ lbf N Life required _______________________ (working hours) ___________________ (106 Revolutions) Mechanical: Mounting Horizontal Vertical Diagonal Driven part Screw Nut Mounting Fixed-Fixed Simple-Fixed Simple-Simple Free-Fixed configuration BS&A 3616 Snell Avenue San Jose, CA 95136-1305 www.ballscrews.com email: sales@bsa-fineline.com Toll-free: 1-800-966-7231 Fax: 1-408-629-2620 Contact BS&A for application and ordering assistance. Precision Ground & Rolled Ball Screws ScrewProducts and ScrewAssemblies from BS&A Anti-backlash Lead Screws Custom & Stock Assemblies Visit us on the web: www.ballscrews.comELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By:
  • 32. www.ballscrews.com BS&A 3616 Snell Avenue San Jose, CA 95136-1305 Toll-free: 1-800-966-7231 Fax: 408-629-2620 email: sales@bsa-fineline.com www.ballscrews.com www.danahermotion.com DMLMS-BS&A FLBS 7/02 Contact BS&A for assistance in locating your local distributor. FineLine Ball Screws Manufactured using BS&A’s PSF Technology™ ELECTROMATE Toll Free Phone (877) SERVO98 Toll Free Fax (877) SERV099 www.electromate.com sales@electromate.com Sold & Serviced By: