Disc Spring Catalogue
description
Transcript of Disc Spring Catalogue
i
DISC SPRINGS
ii
DISC SPRINGS
Disc springs are conically-shaped, washer-type components designed to be axially loaded. What makes disc springs unique is that based on the standardized calculations of DIN 2092, the deflection for a given load is predictable and the minimum life cycle can be determined. Disc springs can be statically loaded either continuously or intermittently, or dynamically subjected to continuous load cycling. They can be used singly or in multiples stacked parallel, in series or in a combination thereof.
The advantages of disc springs compared to other types of springs include the following:
• A wide range of load/deflection characteristics
• High load capacity with small deflection
• Space savings – high load to size ratio
• No set under design loads
• Longer fatigue life
• Inherent dampening especially with parallel stacking
• Flexibility in stack arrangement to meet your application requirements
DIMENSIONAL DESIGNATIONS
De
Di
lotho
De = External Diameter of DiscDi = Internal Diameter of Disclo = Free Height of Disct = Material Thickness of Discho = Free Cone Height of Disc
F = Force or Load Applied Ns = Deflection of Disc Resulting from an Applied Force mms = Stress N/mm2
E = Modulus of Elasticity N/mm2
µ = Poisson’s Ratio —
SYMBOLS AND UNITS USED IN THE APPLICATION OF DISC SPRINGS
1
TO ORDER: Product / De x D
i x t / material code / finish code
EXAMPLE: DSC 25 x 12.2 x 0.7 B R
DISC SPRINGS
STANDARD PRODUCT RANGE
The Spirol range includes all disc springs specified in DIN 2093, Groups 1 and 2, Series A, B, and C.
DIN RANGE
STANDARD MATERIALS
“ t ” less than 1.25 mm Ck67, CS70, AISI 1070
“ t ” 1.25 mm and thicker 50CrV4 (WNr 1.8159) AISI 6150
Austempered to HRC 42 - 52 / HV 412 - 544
STANDARD FINISH
R Phosphate coated, oiled
B
W
SPIROL STANDARD RANGE
Spirol stocks its own standard size range in outside diameters from 8 mm to 200 mm to meet the diverse application needs of its customers. Spirol standard disc springs meet all DIN 2093 performance, tolerance and quality specifications as well as the DIN 2092 design criteria.
In addition to the standard materials, stainless discs produced in Austenitic AISI 301, WNr 14310, Martensitic AISI 420, WNr 1.4021 are readily available. For high temperature application, Inconel® materials are recommended.
Special finishes readily available include mechanical zinc plating with or without subsequent passivation and Dacromet. Electro zinc plating is available but not recommended due to the risk of hydrogen embrittlement.
Spirol will work with the customer to develop special disc springs to meet the requirements of the application. This includes special dimensions, materials, finishes, shapes, shot peening and scragging (presetting).
SPECIALS
GROUPTHICKNESS
in mmSURFACE ROUGHNESS in µm
Upper / Lower Surfaces Inner / Outer Edges
GROUP 1 Less than 1.25 Ra < 3.2 Ra < 12.5
GROUP 2 From 1.25 to 6 Ra < 6.3 Ra < 3.2
GROUPS are identified by thickness and surface finish.
SERIES A ≈ 18 ≈ 0.4
SERIES B ≈ 28 ≈ 0.75
SERIES C ≈ 40 ≈ 1.3
SERIES are defined by the following ratios:
De/t ho/t
De/t ho/t
De/t ho/t
2
DISC SPRING CHARACTERISTICS
LOAD/DEFLECTION RELATIONSHIP
1.4
1.3
1.2
1.1
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
00 0.25 0.5 0.75 1
s/ho
FcF
Test
ing
Lim
it
Spring
s ser
ies A
DIN
209
3Sprin
g
serie
s C D
IN 2093
Sprin
gs se
ries B
DIN
2093
ho/t = 2
0.4
0.75
1.31.5
1.75
1
0
The load/deflection curve of a single disc is not linear. Its shape depends on the ratio of cone height (ho) to the thickness (t) (ho/t). If the ratio is small, 0.4 (DIN Series A), the characteristic is virtually a straight line. The load deflection becomes increasingly curved as the ratio ho/t increases.
Up to a ratio of 1.5, discs may safely be taken to the flat position.
At a ratio of 1.5, the curve is flat for a considerable range of deflection. This is a useful consideration for wear compensation.
Above 1.5, the disc exhibits increasingly regressive characteristics and is capable of push-through and therefore needs to be fully supported.
At ratios over 2, the discs may invert when taken towards the flat position.
Fc is the design force of the disc in the flattened position.
THEORETICAL VS MEASURED DEFLECTION
At the lower range, the actual measured curve departs slightly from the theoretical due to residual stresses.
In the mid range – the usual working range – the actual measured deflection very closely coincides with the theoretical.
As the deflection increases, the force moment arm shortens and the force required increases sharply. When the s/ho ratio exceeds 0.75, the deviation from the theoretical increases sharply. Accordingly, force/deflection predictability is limited to 75% of total deflection (ho).
The graph demonstrates the characteristic of a DIN 2093 disc spring, Group 2, Series B 50 x 25.4 x 2.
8000
N
6000
4000
2000
0 0.2 0.4 0.6 0.8 1 mm 1.4
Measured Characteristic
Theoretical Characteristic
LOA
D F
DEFLECTION s
FLA
T C
ON
DIT
ION
s =
0.7
5 h o
3
LOADING STRESSES
STATIC LOADING Static loading is defined as carrying a constant load or an occasionally changing load at relatively long time intervals not exceeding ten thousand cycles per design life. In these cases the highest calculated stress at Point I is most critical and should not exceed 2600 – 3200 N/mm2 in the flat (s = ho) position for the DIN 2093 specified materials.
The standard range of disc springs may be used in static loading conditions without the need to perform theoretical stress calculations. Under these conditions, spring set is not a factor with stresses up to F = 0.75 ho.
Residual manufacturing tensile stresses occur at the upper inside diameter edge Point I. These revert to compressive stresses when the disc is deflected by 15% to 20% of the total cone height (ho). Fatigue life will be drastically reduced by stress reversals and therefore discs in dynamic applications must be preloaded by a minimum of 15% to 20%.
The maximum deflection limit of 75% of total deflection (s = 0.75 ho) must be observed.
To enhance fatigue life 1) reduce upper stress, 2) increase pre-stress, or 3) both.
Dynamically loaded disc springs are generally divided into two categories:1. Limited life – Discs which should achieve 2 x 106 cycles without failure.2. Practically unlimited life – Discs which should exceed 2 x 106 cycles without
failure.
Detailed design calculations can be provided by Spirol to determine estimated fatigue life. At a minimum, the following information is required:
1. Mounting Space available2. Maximum load3. Type of load – static, intermittent, dynamic4. Cycle life expected5. Operating conditions – temperature, corrosion
DYNAMIC LOADING
When the disc is loaded, negative stresses result at Points I and IV which are compressive. Compressive stresses typically act on the upper surface of the disc.
At the theoretical Point (O) between Points I and IV, the stress must not exceed the yield strength of the disc material (1400 – 1600 N/mm2 for the DIN 2093 specified materials) to ensure that there will be no “set.”
Positive stresses, which are tensile stresses, at Points II and III are the basis for fatigue life calculations. Tensile stresses typically act on the lower surface of the disc.
loho
I
IIIV
III
O
CRITICAL STRESS POINTS
4
DISC SPRINGS – STACKING
Consideration needs to be given to the friction between the parallel disc surfaces. A reasonable allowance is 2 - 3% of the force for each sliding surface – a greater force for loading and a lesser force for unloading. Discs in parallel should be well lubricated and it is suggested that the number of discs in a parallel set be limited to a maximum of 4 to reduce the deviation from calculated to measured characteristics. Discs in parallel have increased self-dampening (hysteresis) characteristics.
Deflection: Same as single disc
Force: Single disc multiplied by the number of discs
IN PARALLEL IN SERIES
Deflection: Single disc multiplied by the number of discs
Force: Same as single disc
IN COMBINATION
Deflection: Single disc multiplied by the number of discs in series
Force: Single disc multiplied by the number of parallel discs in a set
METHODS OF STACKING
regr
essiv
e
straig
ht lin
e
prog
ress
ive
LOA
D F
DEFLECTION s
STACKING Stacking individual disc springs provides the designer with:
• A wide range of possible force/deflection combinations;
• The ability to design application-specific load curves – both progressive and regressive; and
• The opportunity to design a range of dampening characteristics into the design.
It is normally desirable to have both ends rest on the larger outer edge of the disc. With an uneven number of pairs in a stack, this is not possible. In this case, the end resting on the outer edge should be arranged to be on the end on which the force is applied – the moving end of the stack.
STACK CONSTRUCTION
RIGHT WRONG
EVEN NUMBER OF DISCS
WRONGRIGHT
ODD NUMBER OF DISCS
5
DISC SPRINGS – STACKING
PROGRESSIVE LOAD CURVES
Progressive loading can be obtained by assembling stacks in which discs will deflect consecutively when loaded. Generally, this is done by 1) stacking single, double and triple parallel sets in series, or 2) stacking discs of various thickness in series. It is, however, necessary to provide a means to limit the compression of the weaker disc to avoid overstressing while the stronger discs are still in process of compression.
DISC STACKS WITH PROGRESSIVE CHARACTERISTIC LOAD CURVES AND STROKE LIMITERS TO AVOID OVERLOAD
SLEEVEANDSTOP
WASHERSAND
RINGS
STACK GUIDANCE Stacks need to be guided to keep the discs in position. The preferred method is internal, such as a rod through the inside diameter. In case of external guidance, a sleeve is suggested. In either case, the guiding component should be case-hardened to a depth of not less than 0.6 mm and a hardness of 58 HRC. A surface finish of ≤ 4 microns is also recommended.
De or Di
(mm)
Up to 16
Over 16 to 20
Over 20 to 26
Over 26 to 31.5
Over 31.5 to 50
Over 50 to 80
Over 80 to 140
Over 140 to 250
CLEARANCE(mm)
0.2
0.3
0.4
0.5
0.6
0.8
1
1.6
Since the diameter of the discs change when compressed, the following clearance values are recommended:
The stability of disc with a thickness of 1 mm or less can present a problem at the bearing surfaces. In such cases, the use of intermediate flat discs is recommended with outside diameter contact.
RIGHT WRONG
6
• Select the disc with the largest outside diameter (De). This reduces the stresses at a given force (F)/deflection (s) ratio and thus enhances fatigue life. An outside (De) to inside diameter (Di) of 1.7 to 2.2 also enhances performance and longevity.
• Select a disc that at 75% of total deflection offers the maximum force and/or deflection required. Deflection of 75% of cone height (ho) should be the design maximum. Reducing deflection increases fatigue life.
• Force/deflection curves can be changed by varying the cone height (ho) to thickness (t) ratio. Curves for discs may be plotted with the force/deflection data provided on page 8-12 at 25%, 50%, 75% and 100% of deflection.
• Shorter stacks are more efficient. Discs at the moving end of the stack are overdeflected whereas discs at the opposite end are underdeflected. This results from the friction between the individual discs as well as the discs and the guiding mandrel or sleeve. Use of the largest practical outside diameter discs will reduce the number of individual discs and total stack height. It is recommended that total stack height not exceed three times the external disc diameter (De).
• When discs are used in parallel, the following factors should be considered:1. In dynamic applications, the generation of heat;2. The relationship between loading and unloading forces due to friction;3. Hysteresis, the increased damping resulting from friction between the
discs; and4. Lubrication – A must in parallel disc applications.
• Thicker discs have greater damping (hysteresis) characteristics.
• Lubrication is required for the efficient use and extended life of discs. In moderate applications, a solid lubricant such as molybdenum disulfide will generally suffice. In severe and corrosive applications, an oil or grease lubricant housed in a chamber may be required.
• Hardened thrust washers will alleviate surface damage/indentation when discs are used in conjunction with soft materials.
• At elevated temperatures, discs begin to lose their spring characteristics. When the service temperature exceeds 100˚C, special materials should be used.
• Shot peening induces favorable compressive stresses on the disc surface. This reduces the likelihood of fatigue failure due to tensile stresses which generally start on the surface.
• Presetting (scragging) is defined as a single or repeated compression of a heat treated disc to the flat condition. The strains induced give rise to plastic deformation, the spring thereby looses height. The remaining free conical height (ho) results from the residual stresses being at an equilibrium of forces and moments. The disc will no longer plastically deform during subsequent loading. This allows for higher load stresses and longer fatigue life.
DESIGN GUIDELINES
7
DIMENSIONAL TOLERANCES
Less than 1.25 0.1 0.05From 1.25 to 2 0.15 0.08Over 2 to 3 0.2 0.1Over 3.8 to 6 0.3 0.15
TOLERANCE mm
PLUS MINUS
THICKNESS RANGE (t)mm
FREE OVER-ALL HEIGHT (lo) TOLERANCE
From 0.2 to 0.6 0.02 0.06Over 0.6 to under 1.25 0.03 0.09From 1.25 to 3.8 0.04 0.12Over 3.8 to 6 0.05 0.15
TOLERANCE mm
PLUS MINUS
THICKNESS RANGEmm
THICKNESS TOLERANCE (t)
The static load (F) of a single disc shall be determined for a disc in the loaded state using a suitable lubricant. The pressure plates between which the disc is compressed must be hardened ground and polished.
The following deviations apply for normal applications:
Less than 1.25
From 1.25 to 3
From 3 to 6
PERMISSIBLE DEVIATION in load F at s = 0.75 ho
as a percentage
THICKNESS (t)mm
+ 25 % - 7.5 % + 15 % - 7.5 % + 10 % - 5 %
SPRING FORCE TOLERANCE
DIAMETER TOLERANCE
DeTOLERANCE MINUS mm
CONCENTRICITY TOLERANCE 1
3 to 6 0.12 0.12 0.15Over 6 to 10 0.15 0.15 0.18Over 10 to 18 0.18 0.18 0.22Over 18 to 30 0.21 0.21 0.26Over 30 to 50 0.25 0.25 0.32Over 50 to 80 0.3 0.3 0.6Over 80 to 120 0.35 0.35 0.7Over 120 to 180 0.4 0.4 0.8Over 180 to 250 0.46 0.46 0.92
DiTOLERANCE PLUS mm
De or Di RANGEmm
1) In reference to Outside Diameter De
Outside Diameter: De h 12Inside Diameter: Di H 12
Concentricity: De ≤ 50 mm 2 • IT 11 De > 50 mm 2 • IT 12
8
DIS
C S
PR
ING
S T
O D
IN 2
093
SP
IRO
LP
RO
DU
CT
RA
NG
E
Def
lect
ion
s in
mm
Forc
e F
in N
Stre
ss s
in N
/mm
2
Valu
es c
alcu
late
d in
ac
cord
ance
with
DIN
209
2In
side
Dia
.D
i
Out
side
Dia
.D
e
F
Ove
rall
Hei
ght
l oC
one
Hei
ght
h oT
hick
ness
t
I
IIIII
IVO
M
0.3
0.4
0.5
0.2
0.3
0.4
0.3
0.5
0.4
0.5
0.6
0.25 0.4
0.5
0.4
0.5
0.5
0.6
0.83
30.
50.
41.
250.
833
0.5
1.16
70.
70.
75 0.5
0.41
71.
20.
75 0.5 1 0.8
0.8
0.58
3
0.06
30.
050.
050.
063
0.06
30.
050.
088
0.08
80.
075
0.06
30.
063
0.07
50.
075
0.06
30.
10.
10.
10.
088
45.7
69.3
128.
421
.351
.678
.351
.216
5.3
79.4
109.
818
1.6
30.5
87.8
121.
585
.214
2.6
150.
519
6
-883
-797
-943
-696
-872
-784
-979
-133
6-8
60-7
89-9
04-6
54-8
57-7
82-9
36-1
072
-101
5-9
57
0.55 0.6
0.7
0.45
0.55 0.6
0.65
0.85 0.7
0.75
0.85
0.55 0.7
0.75 0.8
0.9
0.9
0.95
0.25 0.2
0.2
0.25
0.25 0.2
0.35
0.35 0.3
0.25
0.25 0.3
0.3
0.25 0.4
0.4
0.4
0.35
C B A C B A
D
e D
i t
l o
ho
ho/t
DIN Series
Dim
en
sio
ns
207
365
511 8 184
343
90 447
241
359
473
21 224
343
149
285
251
372
401
350
408
409
501
439
378
492
405
361
410
380
485
435
385
432
493
455
79.1
130.
224
6.4
33.3
89.4
147.
181
.629
6.2
140.
420
6.4
347.
348
.215
5.3
228.
314
1.4
249.
126
2.8
361.
3
-166
9-1
533
-182
4-1
294
-164
6-1
504
-183
1-2
544
-163
2-1
516
-174
6-1
217
-162
3-1
502
-176
0-2
032
-192
1-1
830
0.03
80.
030.
030.
038
0.03
80.
030.
053
0.05
30.
045
0.03
80.
038
0.04
50.
045
0.03
80.
060.
060.
060.
053
29.1
42.7
78.5
14 32.9
48.3
33.6
104
50.2
67.7
111.
220 55
.574
.955
.190
.695
.612
1.8
125.
523
846
4.9
4214
1.8
268.
910
8.1
500.
423
1.9
377.
465
2.1
62.6
256.
541
7.5
205.
740
1.7
423.
864
0.8
-133
2-1
421
-177
6-1
003
-150
5-1
605
-114
7-1
911
-138
4-1
441
-173
0-9
57-1
531
-159
5-1
228
-153
5-1
619
-170
0
1046
949
1123
1034
1312
1194
957
1299
1066
981
1125
965
1281
1182
988
1130
1291
1222
0.25 0.2
0.2
0.25
0.25 0.2
0.35
0.35 0.3
0.25
0.25 0.3
0.3
0.25 0.4
0.4
0.4
0.35
-235
9-2
207
-264
3-1
794
-232
2-2
162
-255
6-3
626
-231
6-2
182
-252
6-1
691
-229
9-2
159
-247
2-2
879
-271
7-2
620
912
1281
1717
319
847
1218
652
1721
988
1260
1604
336
943
1218
786
1193
1080
1367
511
792
1083
114
467
749
308
1021
570
778
1008
133
539
749
411
683
611
828
0.18
80.
150.
150.
188
0.18
80.
150.
263
0.26
30.
225
0.18
80.
188
0.22
50.
225
0.18
80.
30.
30.
30.
263
8 8 8 8 8 8 10 10 10 10 10 10 10 10 12 12 12 12
3.2
3.2
3.2
4.2
4.2
4.2
3.2
3.2
4.2
4.2
4.2
5.2
5.2
5.2
4.2
4.2
5.2
5.2
750
666
782
753
938
837
697
925
760
688
785
702
912
829
714
809
923
863
104.
418
5.5
357.
439
.211
7.9
209.
698
.340
418
9.2
294.
150
2.3
57.5
209.
332
5.4
178.
433
1.4
349.
650
6.1
0.12
50.
10.
10.
125
0.12
50.
10.
175
0.17
50.
150.
125
0.12
50.
150.
150.
125
0.2
0.2
0.2
0.17
5
De
sig
n F
orc
e,
De
fle
cti
on
an
d S
tre
ss
es
Ba
se
d o
n E
= 2
06
kN
/mm
2 a
nd
µ =
0.3
s =
0.2
5 h
o
s
F
sI
sII
s
III
s =
0.5
ho
s
F
sI
sII
s
III
s =
0.7
5 h
o
s
F
sI
sII
s
III
s =
ho
s
F
sO
M
247
214
249
253
308
268
234
302
249
221
250
235
298
266
238
266
303
279
Pre
load.
s =
0.1
5 h
o
s
F
sII
I
9
DIS
C S
PR
ING
S T
O D
IN 2
093
0.5
0.6
0.35 0.5
0.7
0.35 0.5
0.8
0.4
0.7
0.5
0.6
0.7
0.7
0.8
0.4
0.6
0.9
0.4
0.5
0.6
0.7
0.8
0.7
0.8 1
0.45 0.7 1 0.6
0.7
0.8
0.9
0.5
0.8
0.9 1 1.1
0.7
0.58
31.
286
0.7
0.42
91.
286
0.8
0.37
51.
375
0.78
61
0.75
0.57
10.
571
0.5
1.25
0.75
0.38
91.
51.
2 1 10.
875
0.78
60.
625
0.5
1.33
30.
714
0.4
1.16
70.
929
0.75
0.66
71.
30.
688
0.61
10.
550.
409
0.85
0.95 0.8
0.85 1 0.8
0.9
1.1
0.95
1.25 1
1.05 1.1
1.1
1.2
0.9
1.05
1.25 1 1.1
1.2
1.4
1.5
1.25 1.3
1.5
1.05 1.2
1.4
1.3
1.35 1.4
1.5
1.15
1.35
1.45
1.55
1.55
0.35
0.35
0.45
0.35 0.3
0.45 0.4
0.3
0.55
0.55 0.5
0.45 0.4
0.4
0.4
0.5
0.45
0.35 0.6
0.6
0.6
0.7
0.7
0.55 0.5
0.5
0.6
0.5
0.4
0.7
0.65 0.6
0.6
0.65
0.55
0.55
0.55
0.45
C B A C B A C B A C B A C B A
D
e D
i t
l o
ho
ho/t
DIN Series
Dim
en
sio
ns
84.0
132.
855
.375
.514
6.8
45 76.3
173.
267
.421
5.8
89.4
112.
313
8.1
159.
222
6.2
55.3
108.
722
1.4
56.8
85.4
123.
722
9.2
306.
816
1.5
192.
834
4.8
80.2
147
275.
514
0.7
168.
119
9.1
265.
393
.619
1.1
256.
733
6.9
335.
4
291
325
314
258
259
259
258
235
249
324
262
246
228
293
320
247
258
238
198
217
236
321
343
267
252
290
272
258
240
267
257
245
262
261
258
277
296
242
12 12 12.5
12.5
12.5
14 14 14 15 15 15 15 15 15 15 16 16 16 18 18 18 18 18 18 18 18 18 18 18 20 20 20 20 20 20 20 20 20
6.2
6.2
6.2
6.2
6.2
7.2
7.2
7.2
5.2
5.2
6.2
6.2
6.2
8.2
8.2
8.2
8.2
8.2
6.2
6.2
6.2
6.2
6.2
8.2
8.2
8.2
9.2
9.2
9.2
8.2
8.2
8.2
8.2
10.2
10.2
10.2
10.2
10.2
De
sig
n F
orc
e,
De
fle
cti
on
an
d S
tre
ss
es
Ba
se
d o
n E
= 2
06
kN
/mm
2 a
nd
µ =
0.3
0.08
80.
088
0.11
30.
088
0.07
50.
113
0.1
0.07
50.
138
0.13
80.
125
0.11
30.
10.
10.
10.
125
0.11
30.
088
0.15
0.15
0.15
0.17
50.
175
0.13
80.
125
0.12
50.
150.
125
0.1
0.17
50.
163
0.15
0.15
0.16
30.
138
0.13
80.
138
0.11
3
133.
621
3.6
83.5
120.
123
9.5
68.1
120.
128
3.9
101.
234
0.3
138.
217
7.7
222.
425
6.3
366.
883
.817
236
2.6
84.7
129.
919
1.2
354.
147
9.5
254.
630
8.9
559
120.
823
3.4
450.
721
4.4
261.
531
5.1
423.
214
1.3
304.
341
1.8
543.
754
8.3
-845
-955
-903
-775
-804
-723
-745
-712
-957
-131
7-8
95-8
63-8
18-8
19-9
00-6
93-7
51-7
21-7
59-8
51-9
42-1
282
-138
8-8
58-8
23-9
63-7
63-7
56-7
28-9
07-8
90-8
65-9
34-7
34-7
59-8
21-8
82-7
33
249
358 2 231
403 0 173
390 3 362
129
243
328
311
391
10 197
386
-30
61 152
207
313
216
292
432
-14
216
382
63 161
244
313
-4 230
292
354
379
475
531
506
420
425
418
419
386
401
526
424
400
373
479
523
399
420
391
319
350
382
520
556
434
411
475
440
421
394
432
416
398
427
422
421
452
484
397
239.
339
3.8
129.
821
5.1
456.
910
5.8
209.
854
7.2
154.
459
6.4
229.
531
4.3
411.
247
3.9
689.
313
1.2
304.
369
7.1
126.
120
5.7
317.
458
882
1.6
446.
356
3.8
1050
.518
5.8
416.
786
4.7
342.
244
255
7.3
764.
521
954
6.9
754
1010
.210
50
-160
5-1
824
-167
7-1
473
-155
0-1
343
-140
8-1
377
-177
7-2
497
-168
0-1
638
-156
7-1
566
-172
7-1
289
-142
3-1
394
-140
6-1
588
-177
0-2
410
-262
2-1
624
-157
0-1
849
-141
5-1
434
-140
6-1
694
-167
5-1
640
-177
9-1
363
-144
2-1
566
-168
9-1
416
404.
369
8.5
160.
336
3.5
854.
913
0.6
338.
410
39.6
180.
796
8.6
333.
851
9.1
732.
784
4.4
1260
.516
5.5
502.
613
19.3
136.
826
7.2
461.
785
5.3
1276
.772
4.8
983.
519
2122
369
9.5
1631
.445
3.1
668.
192
0.5
1310
.626
8.1
929.
113
22.8
1814
.619
76.1
-154
4-1
853
-125
0-1
388
-166
6-1
018
-129
3-1
551
-107
9-1
888
-127
5-1
377
-142
8-1
646
-188
1-9
88-1
333
-155
5-8
16-1
021
-122
5-1
667
-190
5-1
412
-146
8-1
834
-105
2-1
363
-155
8-1
202
-130
2-1
373
-154
5-1
024
-138
6-1
560
-173
3-1
560
1259
1429
1278
1114
1167
1055
1101
1071
1002
1376
1089
1054
1002
1291
1423
1009
1109
1080
791
885
980
1333
1443
1141
1098
1289
1106
1114
1088
1095
1076
1048
1133
1063
1118
1212
1307
1093
0.35
0.35
0.45
0.35 0.3
0.45 0.4
0.3
0.55
0.55 0.5
0.45 0.4
0.4
0.4
0.5
0.45
0.35 0.6
0.6
0.6
0.7
0.7
0.55 0.5
0.5
0.6
0.5
0.4
0.7
0.65 0.6
0.6
0.65
0.55
0.55
0.55
0.45
-228
0-2
608
-232
3-2
093
-224
0-1
860
-199
0-1
997
-246
2-3
541
-235
6-2
323
-224
5-2
240
-248
2-1
786
-201
6-2
019
-194
0-2
213
-248
6-3
384
-370
3-2
298
-224
2-2
660
-195
7-2
035
-203
5-2
360
-235
6-2
328
-253
5-1
887
-205
0-2
235
-242
1-2
048
1001
1329
393
925
1382
309
764
1308
417
1496
716
994
1195
1150
1392
322
830
1301
247
520
794
1080
1399
922
1104
1523
291
879
1295
550
795
998
1205
305
917
1102
1288
1290
582
801
134
539
864
103
428
826
142
861
368
574
727
694
856
117
474
820
52 234
416
567
779
523
660
939
83 509
814
246
426
576
715
98 536
659
783
809
0.26
30.
263
0.33
80.
263
0.22
50.
338
0.3
0.22
50.
413
0.41
30.
375
0.33
80.
30.
30.
30.
375
0.33
80.
263
0.45
0.45
0.45
0.52
50.
525
0.41
30.
375
0.37
50.
450.
375
0.3
0.52
50.
488
0.45
0.45
0.48
80.
413
0.41
30.
413
0.33
8
894
1007
932
791
814
770
787
743
735
985
787
752
707
909
997
735
790
751
583
646
708
964
1037
815
777
904
809
792
757
797
775
748
804
776
793
856
920
761
326.
455
1.8
151.
329
3.5
659.
612
3.2
279.
279
6.9
175.
679
6.6
289.
442
3.5
577.
566
5.6
982.
315
4.4
410.
110
12.9
138.
724
5.5
400.
474
1.7
1072
.159
678
2.7
1497
213.
756
6.4
1254
.241
2.1
568.
575
1.1
1051
.225
4.1
748.
310
5014
25.3
1520
.8
0.17
50.
175
0.22
50.
175
0.15
0.22
50.
20.
150.
275
0.27
50.
250.
225
0.2
0.2
0.2
0.25
0.22
50.
175
0.3
0.3
0.3
0.35
0.35
0.27
50.
250.
25 0.3
0.25 0.2
0.35
0.32
50.
30.
30.
325
0.27
50.
275
0.27
50.
225
s =
0.2
5 h
o
s
F
sI
sII
s
III
s =
0.5
ho
s =
0.7
5 h
os =
ho
s
F
sO
M
s
F
sI
sII
s
III
s
F
sI
sII
s
III
0.05
30.
053
0.06
80.
053
0.04
50.
068
0.06
0.04
50.
083
0.08
30.
075
0.06
80.
060.
060.
060.
075
0.06
80.
053
0.09
0.09
0.09
0.10
50.
105
0.08
30.
075
0.07
50.
090.
075
0.06
0.10
50.
098
0.09
0.09
0.09
80.
083
0.08
30.
083
0.06
8Pre
load.
s =
0.1
5 h
o
s
F
sII
I
10
DIS
C S
PR
ING
S T
O D
IN 2
093
0.6
0.8
1.25 0.7
0.8
0.9
0.9 1
1.25 1.5
0.7
0.9
1.5
0.8 1
1.25 1.5 1
1.25 1.5
0.8 1
1.25 1.5
0.8
1.25 1.5
1.75 2 1
1.25 1.5
1.25 1.5
1.5 2 0.9
1.25
1.33
30.
813
0.4
1.14
30.
938
0.88
90.
833
0.7
0.48 0.4
1.28
60.
778
0.36
71.
188
1 0.8
0.46
70.
950.
68 0.5
1.25 0.8
0.68
0.43
31.
313
0.72 0.6
0.4
0.37
51.
20.
96 0.8
0.92 0.7
0.7
0.42
51.
278
0.8
1.4
1.45
1.75 1.5
1.55 1.7
1.65 1.7
1.85 2.1
1.6
1.6
2.05
1.75 2
2.25 2.2
1.95 2.1
2.25 1.8
1.8
2.1
2.15
1.85
2.15 2.4
2.45
2.75 2.2
2.45 2.7
2.4
2.55
2.55
2.85
2.05
2.25
0.8
0.65 0.5
0.8
0.75 0.8
0.75 0.7
0.6
0.6
0.9
0.7
0.55
0.95 1 1 0.7
0.95
0.85
0.75 1 0.8
0.85
0.65
1.05 0.9
0.9
0.7
0.75 1.2
1.2
1.2
1.15
1.05
1.05
0.85
1.15 1
C B A C B A C B A C B A C B
D
e D
i t
l o
ho
ho/t
DIN Series
Dim
en
sio
ns
-221
9-2
006
-203
1-2
454
-245
3-2
894
-252
0-2
483
-243
6-2
820
-232
0-1
940
-213
8-2
264
-279
8-3
258
-240
1-2
502
-252
9-2
488
-233
0-1
986
-251
6-2
080
-197
8-2
145
-245
1-2
038
-246
7-2
439
-281
4-3
190
-255
5-2
579
-254
3-2
446
-189
7-1
935
0.12
0.09
80.
075
0.12
0.11
30.
120.
113
0.10
50.
090.
090.
135
0.10
50.
083
0.14
30.
150.
150.
105
0.14
30.
128
0.11
30.
150.
120.
128
0.09
80.
158
0.13
50.
135
0.10
50.
113
0.18
0.18
0.18
0.17
30.
158
0.15
80.
128
0.17
30.
15
159.
719
4.8
423.
718
321
3.7
311.
129
5.1
338.
553
1.6
875.
521
9.2
232.
563
3.8
228.
639
8.2
654.
461
6.8
380
529.
770
8.7
287.
130
2.6
569.
663
3.5
254.
849
8.2
784.
785
0.4
1341
.638
6.3
610.
391
9.1
586.
476
9.6
812
1284
.530
2.8
464.
3
22.5
22.5
22.5
23 23 23 23 23 23 23 25 25 25 28 28 28 28 28 28 28 28 28 28 28 31.5
31.5
31.5
31.5
31.5
34 34 34 34 34 34 34 35.5
35.5
11.2
11.2
11.2
8.2
8.2
8.2
10.2
10.2
12.2
12.2
12.2
12.2
12.2
10.2
10.2
10.2
10.2
12.2
12.2
12.2
14.2
14.2
14.2
14.2
16.3
16.3
16.3
16.3
16.3
12.3
12.3
12.3
14.3
14.3
16.3
16.3
18.3
18.3
De
sig
n F
orc
e,
De
fle
cti
on
an
d S
tre
ss
es
Ba
se
d o
n E
= 2
06
kN
/mm
2 a
nd
µ =
0.3
0.2
0.16
30.
125
0.2
0.18
80.
20.
188
0.17
50.
150.
150.
225
0.17
50.
138
0.23
80.
250.
250.
175
0.23
80.
213
0.18
80.
25 0.2
0.21
30.
163
0.26
30.
225
0.22
50.
175
0.18
80.
30.
30.
30.
288
0.26
30.
263
0.21
30.
288
0.25
240.
530
6.4
693.
227
9.5
332.
148
5.7
463.
153
8.3
863.
514
32.2
331.
236
6.9
1039
.634
7.9
615.
310
30.3
1003
.158
9.9
843.
911
49.1
434.
947
6.4
907.
510
33.4
384.
379
0.5
1260
.113
91.1
2199
.258
7.3
946.
414
47.1
912.
812
23.6
1291
.120
96.8
457.
773
1
-865
-751
-726
-940
-925
-108
6-9
44-9
19-8
81-1
009
-902
-724
-761
-870
-106
1-1
214
-863
-947
-934
-900
-904
-744
-931
-747
-771
-797
-899
-729
-879
-938
-106
3-1
188
-964
-953
-942
-877
-737
-724
-14
171
383
87 175
233
213
282
399
527 4 181
425
62 165
319
424
156
300
406
13 174
287
371
-9 224
326
382
481
63 188
313
177
297
283
445 2 168
488
412
384
397
384
449
469
451
497
565
499
389
393
375
451
507
346
467
451
426
515
414
513
403
448
449
501
399
480
403
448
493
461
447
495
449
427
409
370
533.
413
29.9
448.
456
082
9.3
802
964.
316
29.7
2747
.751
4.7
644.
420
06.9
552.
510
21.6
1799
.518
98.7
991.
715
19.4
2159
.468
1.1
832
1633
.919
69.6
593.
914
09.1
2313
.826
68.9
4239
.293
015
87.1
2527
.315
46.2
2192
2312
.940
03.2
712.
512
76.6
-160
5-1
420
-140
3-1
758
-174
3-2
051
-178
4-1
746
-169
2-1
948
-167
5-1
371
-147
3-1
624
-199
4-2
300
-166
3-1
781
-177
7-1
729
-168
0-1
406
-177
0-1
440
-143
0-1
512
-171
6-1
408
-170
2-1
751
-200
1-2
251
-181
6-1
813
-179
0-1
692
-137
0-1
369
444
855.
125
09.2
602
842.
412
79.4
1272
.516
29.2
3000
.251
84.4
635.
510
50.5
3821
.172
2.8
1486
2902
.435
10.7
1481
.925
89.7
3948
.685
8.9
1342
2784
.936
8072
1.6
2359
.540
77.2
5035
.780
53.7
1207
.823
5940
76.4
2347
.437
03.5
3907
.774
98.4
883.
820
59.1
-117
8-1
276
-153
4-1
173
-125
7-1
508
-150
0-1
556
-183
4-2
200
-123
8-1
238
-162
2-1
078
-141
9-1
774
-149
0-1
415
-158
3-1
676
-128
2-1
282
-170
2-1
562
-107
7-1
442
-173
0-1
570
-192
3-1
153
-144
2-1
730
-143
5-1
572
-165
8-1
790
-104
2-1
258
1227
1079
1059
1007
991
1164
1225
1195
1356
1560
1259
1023
1091
950
1158
1326
943
1208
1196
1157
1304
1086
1365
1106
1130
1187
1346
1102
1331
1018
1154
1290
1193
1183
1313
1234
1078
1073
336
762
1296
626
846
1066
953
1119
1404
1788
396
776
1419
532
880
1340
1461
807
1172
1431
422
765
1138
1274
308
917
1223
1296
1615
563
938
1313
868
1172
1131
1520
320
743
98 425
815
295
457
589
531
655
868
1124
136
440
898
239
459
765
911
425
691
883
154
429
667
795
94 530
734
814
1020
250
500
750
466
687
660
952
108
416
0.6
0.48
80.
375
0.6
0.56
30.
60.
563
0.52
50.
450.
450.
675
0.52
50.
413
0.71
30.
750.
750.
525
0.71
30.
638
0.56
30.
75 0.6
0.63
80.
488
0.78
80.
675
0.67
50.
525
0.56
30.
90.
90.
90.
863
0.78
80.
788
0.63
80.
863
0.75
897
771
737
733
714
837
877
849
949
1085
919
730
757
692
837
949
660
870
849
812
950
776
968
772
825
844
950
766
924
742
833
923
858
841
933
860
786
766
425.
570
7.5
1929
543.
671
8.6
1078
1057
.913
15.4
2331
.239
85.5
599.
786
2.3
2926
661.
512
88.6
2394
.427
22.6
1268
.220
82.6
3077
.180
1.4
1107
.122
39.6
2841
686.
919
1332
29.9
3871
.261
7311
09.7
2024
3363
1993
.429
90.3
3155
.257
82.5
832
1698
.7
0.4
0.32
50.
25 0.4
0.37
50.
40.
375
0.35 0.3
0.3
0.45
0.35
0.27
50.
475
0.5
0.5
0.35
0.47
50.
425
0.37
50.
50.
40.
425
0.32
50.
525
0.45
0.45
0.35
0.37
50.
60.
60.
60.
575
0.52
50.
525
0.42
50.
575
0.5
s =
0.2
5 h
o
s
F
sI
sII
s
III
s =
0.5
ho
s =
0.7
5 h
os =
ho
s
F
sO
M
s
F
sI
sII
s
III
s
F
sI
sII
s
III
302
253
234
245
237
277
289
277
304
344
309
239
239
232
278
312
211
288
277
261
319
254
315
246
278
275
307
243
292
249
276
304
284
274
304
274
264
251
0.8
0.65 0.5
0.8
0.75 0.8
0.75 0.7
0.6
0.6
0.9
0.7
0.55
0.95 1 1 0.7
0.95
0.85
0.75 1 0.8
0.85
0.65
1.05 0.9
0.9
0.7
0.75 1.2
1.2
1.2
1.15
1.05
1.05
0.85
1.15 1
Pre
load.
s =
0.1
5 h
o
s
F
sII
I
11
DIS
C S
PR
ING
S T
O D
IN 2
093
21.
25 1.5 2 1.5 2 2 1 1.5 2
2.25 2.5
1.25
1.75 2.5
1.5 2 2.5 2 2.5 2 2.5
1.25 1.5 2
2.25 2.5 3 1.5 2 3 2 2.5
2.5 3 2.5 3 3.5
0.4
1.12
0.86
70.
525
0.86
70.
550.
575
1.3
0.76
70.
55 0.4
0.38
1.28
0.74
30.
41.
10.
825
0.66
0.75
0.54 0.8
0.56
1.28
1.06
70.
70.
467
0.56
0.36
71.
30.
80.
433
1.1
0.88
0.76
0.55 0.8
0.56
70.
429
2.8
2.65 2.8
3.05 2.8
3.1
3.15 2.3
2.65 3.1
3.15
3.45
2.85
3.05 3.5
3.15
3.65
4.15 3.5
3.85 3.6
3.9
2.85 3.1
3.4
3.75 3.9
4.1
3.45 3.6
4.3
4.2
4.7
4.4
4.65 4.5
4.7 5
0.8
1.4
1.3
1.05 1.3
1.1
1.15 1.3
1.15 1.1
0.9
0.95 1.6
1.3 1
1.65
1.65
1.65 1.5
1.35 1.6
1.4
1.6
1.6
1.4
1.5
1.4
1.1
1.95 1.6
1.3
2.2
2.2
1.9
1.65 2 1.7
1.5
A C B A C B A C B A C B A
D
e D
i t
l o
ho
ho/t
DIN Series
Dim
en
sio
ns
0.12
00.
210.
195
0.15
80.
195
0.16
50.
173
0.19
50.
173
0.16
50.
135
0.14
30.
240.
195
0.15
0.24
80.
248
0.24
80.
225
0.20
30.
240.
210.
240.
240.
210.
158
0.21
0.16
50.
293
0.24
0.19
50.
330.
330.
285
0.24
80.
30.
255
0.22
5
1139
.459
1.2
759.
611
12.5
782.
812
21.8
1355
.237
4.6
702.
113
47.7
1427
.920
4568
996
2.6
1694
.976
1.1
1419
.224
24.1
1242
.818
62.1
1427
.120
22.5
564.
880
8.1
1225
.511
06.5
2154
2594
966.
212
1325
39.4
1649
.726
56.5
2180
.627
85.6
2577
.831
54.8
4038
.9
35.5
40 40 40 40 40 40 40 40 40 40 40 45 45 45 50 50 50 50 50 50 50 50 50 50 50 50 50 56 56 56 60 60 60 60 60 60 60
18.3
14.3
14.3
14.3
16.3
16.3
18.3
20.4
20.4
20.4
20.4
20.4
22.4
22.4
22.4
18.4
18.4
18.4
20.4
20.4
22.4
22.4
25.4
25.4
25.4
25.4
25.4
25.4
28.5
28.5
28.5
20.5
20.5
25.5
25.5
30.5
30.5
30.5
De
sig
n F
orc
e,
De
fle
cti
on
an
d S
tre
ss
es
Ba
se
d o
n E
= 2
06
kN
/mm
2 a
nd
µ =
0.3
0.2
0.35
0.32
50.
263
0.32
50.
275
0.28
80.
325
0.28
80.
275
0.22
50.
238
0.4
0.32
50.
250.
413
0.41
30.
413
0.37
50.
338
0.4
0.35 0.4
0.4
0.35
0.26
30.
350.
275
0.48
80.
40.
325
0.55
0.55
0.47
50.
413
0.5
0.42
50.
375
1863
.990
4.4
1188
.317
99.5
1224
.519
71.7
2181
.656
5.4
1109
2174
.823
35.8
3350
.810
41.4
1524
2772
.711
66.2
2229
.138
69.7
1966
.430
07.7
2246
.932
60.6
853.
812
41.7
1948
.617
99.6
3472
.542
5514
58.4
1909
.741
42.4
2527
.841
50.5
3446
.744
95.1
4058
.650
82.7
6591
-749
-961
-962
-878
-928
-897
-933
-734
-774
-882
-746
-864
-883
-795
-726
-855
-101
3-1
171
-865
-876
-932
-904
-717
-789
-777
-579
-903
-762
-843
-744
-747
-108
2-1
233
-949
-889
-101
2-9
17-8
74
393
98 218
393
199
375
365
-4 196
354
392
470 4 214
383
93 251
409
244
373
228
364 2 74 230
271
355
424
-4 173
371
125
276
259
369
236
356
437
409
406
398
349
430
402
466
422
431
484
403
466
497
433
384
370
428
486
397
393
466
442
410
447
430
314
494
409
483
415
404
440
491
451
414
564
502
472
3576
1458
.820
40.3
3362
.821
02.5
3663
.440
29.9
875.
919
53.4
4040
.844
81.4
6453
.116
20.4
2700
.853
19.5
1890
3868
.270
02.1
3478
.356
01.3
3924
.160
44.3
1328
.420
28.5
3490
.834
06.3
6437
8214
.322
59.4
3335
.378
95.2
4096
.771
02.3
6081
.483
52.1
7088
.294
07.1
1257
4.4
-144
8-1
799
-181
8-1
688
-175
2-1
719
-178
5-1
363
-146
5-1
689
-144
1-1
673
-164
1-1
507
-140
3-1
602
-191
8-2
234
-164
2-1
680
-176
3-1
730
-133
2-1
476
-147
6-1
113
-172
8-1
476
-156
5-1
406
-144
1-2
028
-233
0-1
799
-170
4-1
914
-175
4-1
685
6747
.219
84.2
3183
.960
95.6
3280
.865
80.3
7170
.710
72.2
3201
.372
58.3
8455
.512
243.
220
07.4
4475
.410
036.
926
00.2
6163
.412
037.
857
44.9
1009
8.4
6329
.210
816.
516
45.6
2843
.658
97.9
6298
.211
519.
415
640.
127
65.9
5379
.514
751.
656
3611
007.
999
97.3
1500
2.3
1143
2.6
1679
2.1
2352
8.2
-161
1-1
213
-135
1-1
455
-139
2-1
571
-171
2-1
024
-135
9-1
733
-159
5-1
871
-122
7-1
396
-153
4-1
104
-147
1-1
839
-137
1-1
543
-151
1-1
653
-100
6-1
207
-140
8-1
188
-176
0-1
659
-117
4-1
284
-156
5-1
346
-168
2-1
527
-159
2-1
747
-178
2-1
834
1128
1033
1034
943
1118
1084
1252
1063
1136
1307
1112
1290
1253
1144
1059
942
1116
1291
1045
1060
1220
1190
1035
1145
1140
857
1332
1135
1218
1090
1110
1119
1273
1187
1117
1481
1353
1297
0.8
1.4
1.3
1.05 1.3
1.1
1.15 1.3
1.15 1.1
0.9
0.95 1.6
1.3 1
1.65
1.65
1.65 1.5
1.35 1.6
1.4
1.6
1.6
1.4
1.05 1.4
1.1
1.95 1.6
1.3
2.2
2.2
1.9
1.65 2 1.7
1.5
-209
5-2
514
-256
8-2
427
-247
2-2
467
-255
6-1
887
-207
3-2
421
-208
6-2
424
-227
3-2
135
-203
1-2
239
-271
3-3
187
-233
0-2
412
-249
3-2
480
-184
5-2
061
-209
7-1
604
-247
4-2
142
-216
5-1
987
-208
0-2
837
-328
9-2
551
-244
5-2
704
-251
1-2
434
1332
664
973
1387
911
1349
1338
305
835
1288
1328
1579
389
892
1296
605
1079
1552
1000
1334
985
1324
312
528
923
944
1301
1418
350
765
1274
784
1237
1072
1330
1041
1309
1499
837
319
542
855
503
825
810
98 474
783
835
997
134
512
815
294
610
926
578
817
556
806
106
250
537
585
789
897
112
428
795
386
688
616
812
583
793
937
0.6
1.05
0.97
50.
788
0.97
50.
825
0.86
30.
975
0.86
30.
825
0.67
50.
713
1.2
0.97
50.
751.
238
1.23
81.
238
1.12
51.
013
1.2
1.05 1.2
1.2
1.05
0.78
81.
050.
825
1.46
31.
20.
975
1.65
1.65
1.42
51.
238
1.5
1.27
51.
125
785
750
743
664
802
764
883
776
810
920
774
896
914
814
737
684
800
916
745
746
872
838
755
828
810
599
938
787
889
778
775
812
916
847
787
1058
953
905
5186
.917
79.9
2668
.147
68.6
2749
.451
68.5
5655
.910
16.5
2621
.557
0165
00.2
9389
.618
90.9
3646
7715
.923
18.8
5114
.196
42.9
4687
.379
18.9
5221
.685
09.9
1550
.225
11.9
4762
.148
84.4
9062
.911
976.
526
22.2
4438
.111
388.
350
26.2
9254
.981
74.7
1178
3.5
9431
.913
226
1815
2.6
0.4
0.7
0.65
0.52
50.
650.
550.
575
0.65
0.57
50.
550.
450.
475
0.8
0.65 0.5
0.82
50.
825
0.82
50.
750.
675
0.8
0.7
0.8
0.8
0.7
0.52
50.
70.
550.
975
0.8
0.65 1.1
1.1
0.95
0.82
51
0.85
0.75
s =
0.2
5 h
o
s
F
sI
sII
s
III
s =
0.5
ho
s =
0.7
5 h
os =
ho
s
F
sO
M
s
F
sI
sII
s
III
s
F
sI
sII
s
III
249
251
245
214
265
246
285
261
265
296
246
284
307
266
234
229
263
298
244
240
286
270
254
276
264
192
302
249
299
255
247
272
303
277
254
347
307
288
Pre
load.
s =
0.1
5 h
o
s
F
sII
I
12
DIS
C S
PR
ING
S T
O D
IN 2
093
1.8
2.5
3.0
3.5
2.5 3 3 4 2 2.5 4
2.25 3 4 5 2.5
3.5 5 4 5 2.7
3.5 4 5 6 3 4 6 3.5 5 3.8 5 4.3 6 4.8 6 5.5
1.30
60.
70.
567
0.4
0.96 0.7
0.7
0.45 1.3
0.8
0.4
1.31
10.
767
0.55
0.34
1.28
0.71
40.
40.
80.
551.
296
0.8
0.75
0.56
0.36
71.
30.
80.
417
1.28
60.
71.
289
0.8
1.30
20.
751.
292
0.85
1.27
3
4.15
4.25 4.7
4.9
4.9
5.1
5.1
5.8
4.6
4.5
5.6
5.2
5.3
6.2
6.7
5.7 6 7 7.2
7.75 6.2
6.3 7 7.8
8.2
6.9
7.2
8.5 8 8.5
8.7 9 9.9
10.5 11 11.1
12.5
2.35
1.75 1.7
1.4
2.4
2.1
2.1
1.8
2.6 2 1.6
2.95 2.3
2.2
1.7
3.2
2.5 2 3.2
2.75 3.5
2.8 3 2.8
2.2
3.9
3.2
2.5
4.5
3.5
4.9 4 5.6
4.5
6.2
5.1 7
C B A C B A C B A C B A C B A C B A C B C B C B C B C
D
e D
i t
l o
ho
ho/t
DIN Series
Dim
en
sio
ns
0.35
30.
263
0.25
50.
210.
360.
315
0.31
50.
270.
39 0.3
0.24
0.44
30.
345
0.33
0.25
50.
480.
375
0.3
0.48
0.41
30.
525
0.42
0.45
0.42
0.33
0.58
50.
480.
375
0.67
50.
525
0.73
50.
60.
840.
675
0.93
0.76
51.
05
1566
.518
50.1
2807
.933
00.6
2421
.329
40.6
3162
.253
76.3
1895
.318
38.1
4510
.924
51.5
2817
5407
.271
91.9
2799
.836
75.3
6887
.655
34.8
7650
3165
.435
72.2
5481
.686
36.7
1040
1.1
3864
.748
51.9
9672
.256
3576
96.8
6298
.676
30.8
8058
.410
873.
296
97.6
1056
813
103.
9
63 63 63 63 70 70 70 70 71 71 71 80 80 80 80 90 90 90 100
100
100
100
100
100
100
112
112
112
125
125
140
140
160
160
180
180
200
31 31 31 31 30.5
30.5
35.5
35.5
36 36 36 41 41 41 41 46 46 46 41 41 51 51 51 51 51 57 57 57 64 64 72 72 82 82 92 92 102
De
sig
n F
orc
e,
De
fle
cti
on
an
d S
tre
ss
es
Ba
se
d o
n E
= 2
06
kN
/mm
2 a
nd
µ =
0.3
0.58
80.
438
0.42
50.
35 0.6
0.52
50.
525
0.45
0.65 0.5
0.4
0.73
80.
575
0.55
0.42
50.
80.
625
0.5
0.8
0.68
80.
875
0.7
0.75 0.7
0.55
0.97
50.
80.
625
1.12
50.
875
1.22
51 1.4
1.12
51.
551.
275
1.75
2363
.629
41.7
4523
.953
99.4
3755
.146
75.6
5027
.987
57.1
2860
.928
93.9
7379
.236
97.6
4449
.687
25.7
1182
1.4
4232
5835
.511
267.
287
14.1
1234
547
79.2
5624
.286
72.8
1392
3.7
1706
1.1
5833
.576
38.9
1580
0.3
8514
1223
8.1
9514
.212
014.
112
161.
717
203.
214
646.
316
558.
319
817.
1
-961
-763
-830
-726
-961
-895
-892
-891
-932
-723
-748
-942
-774
-883
-755
-886
-756
-728
-944
-896
-853
-715
-854
-903
-763
-843
-744
-712
-907
-778
-856
-745
-852
-751
-828
-705
-861
-4 227
324
383
153
276
264
430
-5 169
393
-9 196
354
439 2 216
382
238
374
-3 167
225
355
424
-4 173
363 0 229
-2 173
-6 197
-2 144 5
536
410
441
380
475
433
493
482
532
402
402
544
434
486
407
509
421
394
437
404
490
399
476
496
411
483
415
384
522
433
495
419
491
420
476
396
494
3657
.652
69.8
8372
.810
359
6297
.283
76.1
9007
.216
633.
744
32.3
5054
.114
157.
357
15.1
7837
.616
212.
622
928.
465
84.5
1041
6.4
2161
6.6
1521
922
937.
474
10.1
9822
.615
341.
425
810.
432
936.
690
37.7
1334
1.1
3021
5.3
1323
0.7
2192
3.9
1477
3.1
2098
2.4
1883
2.5
3043
0.8
2273
1.3
2855
1.6
3088
1.7
-178
5-1
449
-158
7-1
403
-180
7-1
701
-169
4-1
716
-173
0-1
366
-144
5-1
749
-146
6-1
690
-146
5-1
646
-143
4-1
406
-178
8-1
717
-158
4-1
351
-161
8-1
728
-147
7-1
565
-140
6-1
373
-168
4-1
477
-159
0-1
408
-158
1-1
423
-153
7-1
331
-159
9
4462
.789
03.6
1494
5.9
1954
5.3
9359
.614
151.
815
218.
230
919.
454
25.9
8151
.826
712
6950
1284
4.2
2912
1.8
4395
1.5
8157
.217
487.
140
786.
124
546.
841
201
9091
.415
842.
825
338
4618
962
711.
511
063.
721
518
5673
6.9
1633
5.2
3704
1.4
1819
8.7
3384
2.6
2302
2.3
5025
9.9
2796
5.8
4493
038
423.
5
-131
5-1
360
-158
6-1
524
-143
0-1
502
-161
5-1
845
-129
5-1
246
-159
4-1
311
-136
3-1
738
-167
9-1
246
-136
3-1
558
-146
5-1
574
-119
1-1
235
-151
2-1
764
-166
3-1
174
-128
4-1
505
-127
3-1
415
-120
3-1
293
-118
9-1
333
-115
9-1
192
-121
3
1351
1088
1189
1047
1225
1145
1307
1319
1342
1055
1109
1370
1142
1314
1135
1286
1114
1088
1144
1089
1235
1049
1255
1337
1139
1218
1090
1058
1318
1149
1249
1101
1238
1109
1201
1035
1247
2.35
1.75 1.7
1.4
2.4
2.1
2.1
1.8
2.6 2 1.6
2.95 2.3
2.2
1.7
3.2
2.5 2 3.2
2.75 3.5
2.8 3 2.8
2.2
3.9
3.2
2.5
4.5
3.5
4.9 4 5.6
4.5
6.2
5.1 7
-247
0-2
059
-227
3-2
030
-253
8-2
418
-240
7-2
476
-239
4-1
931
-209
1-2
419
-207
4-2
422
-213
0-2
280
-203
5-2
035
-253
0-2
464
-219
2-1
909
-229
2-2
475
-214
3-2
165
-198
7-1
985
-233
1-2
099
-220
1-1
990
-218
8-2
016
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8-1
875
-221
6
402
912
1190
1296
806
1093
1060
1486
388
744
1332
379
835
1288
1453
385
879
1295
1017
1346
357
734
944
1301
1418
350
765
1239
388
923
362
764
350
830
350
672
381
130
531
721
815
422
640
617
925
125
417
837
117
474
783
924
130
509
814
577
823
116
411
540
789
897
112
428
777
129
537
119
428
111
474
115
368
131
1.76
31.
313
1.27
51.
05 1.8
1.57
51.
575
1.35
1.95 1.5
1.2
2.21
31.
725
1.65
1.27
52.
41.
875
1.5
2.4
2.06
32.
625
2.1
2.25 2.1
1.65
2.92
52.
41.
875
3.37
52.
625
3.67
53 4.2
3.37
54.
653.
825
5.25
986
773
838
729
883
814
928
921
980
754
772
1000
814
924
786
938
792
757
818
767
902
749
894
942
790
889
778
737
961
816
911
787
904
790
877
742
910
4238
.471
8911
771.
815
025.
480
30.6
1142
6.4
1228
7.5
2392
3.3
5144
6725
.320
534.
866
12.6
1051
7.9
2287
3.7
3355
9.1
7684
.114
160.
831
354.
320
251.
132
361.
386
08.8
1307
0.3
2067
3.7
3633
9.2
4802
1.7
1048
8.9
1775
2.3
4370
715
415.
929
908
1719
5.1
2792
0.2
2184
2.5
4100
7.9
2644
2.1
3750
1.6
3611
1.3
1.17
50.
875
0.85 0.7
1.2
1.05
1.05 0.9
1.3 1 0.8
1.47
51.
15 1.1
0.85 1.6
1.25 1 1.6
1.37
51.
75 1.4
1.5
1.4
1.1
1.95 1.6
1.25
2.25
1.75
2.45 2 2.8
2.25 3.1
2.55 3.5
s =
0.2
5 h
o
s
F
sI
sII
s
III
s =
0.5
ho
s
F
sI
sII
s
III
s =
0.7
5 h
o
s
F
sI
sII
s
III
s =
ho
s
F
sO
M
332
252
270
231
293
266
302
294
330
247
245
337
267
298
248
315
258
240
269
247
303
246
292
303
250
299
255
234
323
266
306
258
304
258
295
244
306
Pre
load.
s =
0.1
5 h
o
s
F
sII
I
13
BALL BEARING DISC SPRINGS
Axial preloading of bearings with Spirol bearing disc springs extends the bearing life and eliminates excessive running noise.
One or more disc springs can be used. In most cases the outer race of the ball bearing is preloaded with the disc spring. In some cases it is desirable to preload the inner race. Accordingly, disc springs designed for the outer race of one bearing will also fit the inner race of another bearing.
The recommended preload is achieved when the disc is deflected to 75% of the free cone heights (ho). The ho/t ratio is designed so that the spring load remains nearly constant for a large deflection range. Tolerance build up and variations resulting from expansion can be accommodated without a significant change in preload.
STANDARD MATERIALS
“ t ” less than 1.25 mm Ck67, CS70, AISI 1070
“ t ” 1.25 mm and thicker 50CrV4 (WNr 1.8159) AISI 6150
Austempered to HRC 42 - 52 / HV 412 - 544
STANDARD FINISH
R Phosphate coated, oiled
B
W
De
Di
lotho
TO ORDER: Product / De x Di x t / material code / finish codeEXAMPLE: BRG 41.6 x 25.5 x 0.5 B R
9.812.815.818.818.821.823.725.727.729.731.734.634.636.639.641.646.551.554.561.567.571.571.574.579.579.584.589.589.594.59999
109109114119119124
0.40.5
0.550.650.7
0.750.90.91
1.11.11.11.21.31.31.41.51.51.51.81.72.12.11.92.32.32.52.52.52.22.62.62.72.7
2.452.82.83
634635
627
629
62006201
6202
6203
62046205
6206
6207
62086209
6210
6211
6212
62136214
0.20.250.3
0.350.350.40.50.50.60.70.70.70.70.80.80.90.90.90.91.11
1.41.41.11.51.51.61.61.61.21.61.6
1.451.451.2
1.551.551.75
0.150.1880.2250.2630.263
0.30.3750.3750.450.5250.5250.5250.525
0.60.6
0.6750.6750.6750.6750.8250.751.051.050.8251.1251.125
1.21.21.20.91.21.2
1.0881.088
0.91.1631.1631.313
23.229.323
31.350.746.380.663.580
82.881
61.4118.4110.2109.9113.3153.5135.5141.3175.6161.3184.9218.3211.3227.5263.4358.7287.8335.3324.7292.3332.3357.1397.9398.2319.9392.6444.8
6.27.28.29.2
10.212.314.314.317.317.420.420.422.420.425.525.530.535.540.540.550.545.550.555.550.555.560.560.565.575.565.570.570.575.590.575.585.590.5
EL3EL4EL5EL6EL7EL8EL9
6300
6301
630263036304
6305
6306
6307
6308
6309
6310
6311
0.20.250.250.3
0.350.350.40.40.40.40.40.40.50.50.50.50.60.60.60.70.70.70.70.80.80.80.90.90.9111
1.251.251.251.251.251.25
623624625626607608609600
6001
6002
6003
60046005
600660076008
6009
6010
60116012
6013
60146015
6016
De Di t lo ho s,mm F (N)
Ball Bearing Size
Dimensions s = 0.75 ho
Predictable preloading of bearings results in quiet running and long life. Disc springs may also be used to preload seals, packings, clutches and other machine elements.
De
Di
14© 2009 Spirol International Corporation 1M 11/09
CONICAL SPRING WASHERS
Designed in accordance with DIN 6796 for use with high tensile bolts in Classes 8.8 to 10.9.
Since the spring force exerted is predictable, spring washers provide a simple effective means of determining bolt tension required to achieve a properly torqued assembly. In addition, tension, which would otherwise be lost to expansion, wear, or compression set, is maintained.
TO ORDER: Product / d2 x d1 x t / material code / finish codeEXAMPLE: LWR 9 x 4.3 x 1 B K
MATERIAL: B Spring steel heat treated to HV 420-510
FINISH: K Plain (natural), oiled
Nominal d1 d2 s h h Force Force Size H14 h14 max1) min2) N Test3) N4)
2 2.2 5 0.4 0.6 0.5 920 628 2.5 2.7 6 0.5 0.72 0.61 1540 946 3 3.2 7 0.6 0.85 0.72 2350 1320 3.5 3.7 8 0.8 1.06 0.92 3160 2410 4 4.3 9 1 1.3 1.12 4050 3770 5 5.3 11 1.2 1.55 1.35 6700 5480 6 6.4 14 1.5 2 1.7 9400 8590 7 7.4 17 1.75 2.3 2 13700 11300 8 8.4 18 2 2.6 2.24 17200 14900 10 10.5 23 2.5 3.2 2.8 27500 22100 12 13 29 3 3.95 3.43 40000 34100 14 15 35 3.5 4.65 4.04 55000 46000 16 17 39 4 5.25 4.58 75000 59700 18 19 42 4.5 5.8 5.08 95000 74400 20 21 45 5 6.4 5.6 122000 93200 22 23 49 5.5 7.05 6.15 152000 113700 24 25 56 6 7.75 6.77 175000 131000 27 28 60 6.5 8.35 7.3 230000 154000 30 31 70 7 9.2 8 280000 172000
1) Maximum height at delivery2) Minimum height after test for permanent set as specified in DIN 267 Part 26 3) Compression test load4) Calculated spring force at deflection equals hmin - s
d1
hs
d2
e-mail: [email protected]
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Mexico
Europe
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Spirol Industries, Ltd.3103 St. Etienne BoulevardWindsor, OntarioCanada N8W 5B1Tel. +1 (1) 519.974.3334Fax. +1 (1) 519.974.6550
Spirol México, S.A. de C.V.Carretera a Laredo KM 16.5 Interior ECol. Moisés SaenzApodaca, N.L. 66613 Méxicoó Apdo. Postal 151 de Apodaca, N.L.Tel. +52 (01) 81 8385 4390Fax. +52 (01) 81 8385 4391
Spirol Industries, Ltd.Princewood RoadCorby, NorthantsEngland NN17 4ETTel. +44 (0) 1536 444800Fax. +44 (0) 1536 203415(UK Distributors: Tel. 0800 3890034)
Spirol SASRue Henri Rol TanguyZ.A. Les Naux51450 Bétheny - ReimsFranceTel. +33 (0) 3 26 36 31 42 Fax. +33 (0) 3 26 09 19 76
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Spirol International EngineeredFastener Trading Co. Ltd.No. 11 Xi Ya Rd. NorthSection A, 1F, Building 14Wai Gao Qiao Free Trade ZoneShanghai, China 200131Tel. +86 (0) 21 5046-1451/1452Fax. +86 (0) 21 5046-1540
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