calculo de platillos

8/2/2019 calculo de platillos

1/12

ater a

pr ngs o er

a cu at on

ata

tress

e me

ot

Full Window On Full Window Off Plot Abort Programme

of Fatigue Lifefilled Data Fields

For these short-cuts press +

Q E P W

put of essential Dataessential red

rete Loadpoints or

of Stressesoptional yellow

Phone +49 71 82 / 12 - 0 Fax +49 7 1 82 / 12 - 315

isk Spring Calculation Programme cb...c Version 4.0

Calculation Process:

rialData Input is possible only

ensions of Spring pr ngs in

Christian Bauer GmbH + Co. Disc Springs and

high precision PartsP/Box 1120

D - 73642 Welzheim


2/12

[oC]

choose Material-No: 1.8159 51CrV4 - -50 ... +100 206,000 206,000

Mat. Youngs- Youngs-No. Modulus Modulus

[N/mm2] [N/mm

2]

at 20C

1.1231 Ck 67 - -20 ... +60 206,000 206,000

1.1248 Ck 75 - -20 ... +60 206,000 206,000

1.8159 51CrV4 - -50 ... +100 206,000 206,000

1.7701 51CrMoV4 - -50 ... +100 206,000 206,000

1.2323 48CrMoV6-7 - -60 ... +300 206,000 206,000

1.2567 X30WCrV5-3 - -60 ... +400 206,000 206,000

1.4122 X39CrMo17-1 - -60 ... +400 209,000 209,000

1.4923 X22CrMoV12-1 - -60 ... +500 206,000 206,000

1.4568 X7CrNiAl17-7 - -200 ... +350 200,000 200,000

1.4310 X9CrNi17-7 - -200 ... +100 190,000 190,0001.4401 X4CrNiMo17-12-2 - -200 ... +100 185,000 185,000

2.4668 NiCr19NbMo Inconel 718 -260 ... +700 200,000 200,000

2.4669 NiCr15Fe7TiAl Inconel X 750 -260 ... +600 214,000 214,000

2.4969 NiCr20Co18Ti Nimonic 90 -260 ... +800 206,000 206,000

Duratherm 600 -260 ... +500 220,000 220,000

2.1245 CuBe1.7 - -260 ... +200 135,000 135,000

2.1247 CuBe2 - -260 ... +200 135,000 135,000

Lightweight Material 3.7165 TiAl6V4 - -70 ... +350 114,000 114,000

Stainless Steel

Special Material

Unmagnetic Material

Range

[oC]

Spring Steel

High Temperature Steel

Material Data for Disk Springs

Temperature in Application: 20.0

Characteristic NameTemperature-

Help-Text


3/12

De Di t t' l0 d h0 (h0') h0/ t K4*(h0'/t') F(0,75h0)

[mm] [mm] [mm] [mm] [mm] [ ] [ ] [ ] [ ] [N]

6.00 3.20 0.30 0.45 1.88 0.15 0.50 116.90 104

8.00 3.20 0.20 0.40 2.50 0.20 1.00 25.80 104

8.00 3.20 0.30 0.55 2.50 0.25 0.83 105.30 104

8.00 3.20 0.40 0.60 2.50 0.20 0.50 185.50 104

8.00 3.20 0.50 0.70 2.50 0.20 0.40 357.40 104

8.00 4.20 0.20 0.45 1.90 0.25 1.25 39.36 104

8.00 4.20 0.30 0.55 1.90 0.25 0.83 118.90 104

8.00 4.20 0.40 0.60 1.90 0.20 0.50 209.60 104

10.00 3.20 0.30 0.65 3.13 0.35 1.17 97.96 104

10.00 3.20 0.40 0.70 3.13 0.30 0.75 182.00 104

10.00 3.20 0.50 0.75 3.13 0.25 0.50 281.80 104

10.00 4.20 0.40 0.70 2.38 0.30 0.75 192.10 104

10.00 4.20 0.50 0.75 2.38 0.25 0.50 297.50 104

10.00 4.20 0.60 0.85 2.38 0.25 0.42 508.40 104

10.00 5.20 0.25 0.55 1.92 0.30 1.20 57.97 104

10.00 5.20 0.40 0.70 1.92 0.30 0.75 212.60 104

10.00 5.20 0.50 0.75 1.92 0.25 0.50 329.10 10412.00 4.20 0.40 0.80 2.86 0.40 1.00 178.40 104

12.00 4.20 0.50 0.85 2.86 0.35 0.70 281.80 104

Standard Disc Springs - Dimensions and Parameters

cb-Pa

p-Text


4/12

De Di t l0 d h0 h0/ t F(0,75h0)

[mm] [mm] [mm] [mm] [ ] [ ] [ ] [N]

6.00 3.20 0.30 0.45 1.88 0.15 0.50 107.80 105

8.00 3.20 0.50 0.70 2.50 0.20 0.40 329.60 105

8.00 4.20 0.30 0.50 1.90 0.20 0.67 83.94 105

8.00 4.20 0.40 0.60 1.90 0.20 0.50 193.30 105

10.00 5.20 0.40 0.65 1.92 0.25 0.63 158.60 105

10.00 5.20 0.50 0.70 1.92 0.20 0.40 236.80 105

12.00 4.20 0.40 0.80 2.86 0.40 1.00 164.50 105

12.00 4.20 0.50 0.80 2.86 0.30 0.60 224.10 105

Disc Springs in Stainless Material

cb-Pa

ELP


5/12

De Di t t' l0 F(0,75s/h0) Standard

[mm] [mm] [mm] [mm] [mm] [N] Material

Disc Springs Standard Dimensions

sorted by increasing Spring Forces

cb

Part-No.


6/12

20Number Specification Name

[oC]

De Di t t' l0 d h0 K1 K2 K3 K4 s-Stack p-Stack

[mm] [mm] [mm] [mm] [mm] i n

100.00 51.00 5.00 7.801.9608 2.8 0.6861 1.2108 1.3626 1

80 1

905495 0.0911 0.56

s/ho [ ] Deflecti on [mm] Height [mm] Force [N] 0.0036

0.0 0.00 624.00 0.0 Life Time-

0.1 22.40 601.60 5,857.4 Calculation

0.2 44.80 579.20 11,323.6 to re-assess,

0.3 67.20 556.80 16,442.3 due to

0.4 89.60 534.40 21,256.7 i > 100.5 112.00 512.00 25,810.4

0.6 134.40 489.60 30,146.9

0.7 156.80 467.20 34,309.5

0.8 179.20 444.80 38,341.8

0.9 201.60 422.40 42,287.1

1.0 224.00 400.00 46,189.0

oad Point 1 Load Point 2 Load Point 3 Load Point 4 OM N/mm2

s1 [mm] s2 [mm] F3 [N] F4 [N] 1 N/mm2

Edge 3

6.00 170.00 2 N/mm2

su [N/mm2] 55.5

oad Point 1 Load Point 2 Load Point 3 Load Point 4 OM N/mm2

so [N/mm2] 1350.7

F1 [N] F2 [N] s3 [mm] s4 [mm] 1 N/mm2

1,609.7 36,698.6 Input Input 3 N/mm2

N 9.5E+02

sPN

T

4

ark:

0.0

0.0 No. of Cycles

0.0

E1 =

Life Time at dyn.

Spring Loading

F

L

A

T

-1764.3S

T

R

E

S

S

E

S

between s1 und s2

-3143.8

1891.1

h0 / t K4 * h0' / t'

0.56

explicitLoad Bearing Surfs

206,000 206,000 L0

624.00Spring Dimensions Deflection more than flat Position!

1.8159 51CrV4 - -50 ... +100

20 Y-Modul Y-Modul SPRING STEEL

[N/mm2] [N/mm

2]

Calculation of Disc Springs according to DIN 2092

Spring Material T = 20C T = Application Temperature forC

0

5,000

10,000

15,000

20,000

25,000

30,000

35,000

40,000

45,000

50,000

0.0 50.0 100.0 150.0 200.0 250.0

Force[N]

Deflection [mm]

Spring Characteristic

ext


7/12

De Di t t' l0 s-Stack p-Stack

mm] [mm] [mm] [mm] [mm] i n

/ho Deflection Height Force

[mm] [mm] [N]

00 0.000 624.000 0.0

05 11.200 612.800 2,980.3 Height [mm] Deflection

10 22.400 601.600 5,857.4 Angle

15 33.600 590.400 8,636.7 before

20 44.800 579.200 11,323.6 flat Pos. Deflection Force

25 56.000 568.000 13,923.7 [] [mm] [N]

30 67.200 556.800 16,442.3

35 78.400 545.600 18,884.8

40 89.600 534.400 21,256.7

45 100.800 523.200 23,563.4

50 112.000 512.000 25,810.4

55 123.200 500.800 28,003.1

60 134.400 489.600 30,146.9

65 145.600 478.400 32,247.2

70 156.800 467.200 34,309.5

75 168.000 456.000 36,339.2

80 179.200 444.800 38,341.8

85 190.400 433.600 40,322.6

90 201.600 422.400 42,287.1

95 212.800 411.200 44,240.8

00 224.000 400.000 46,189.0

Deflection more than flat Position!

mark:The Calculation of the Spring Characteristic is performed without the Consideration of any Friction Effects

The Calculation is performed according to the Equations of Almen Laszlo

\2. Spring

Deflection? Data?\ /

Deflection? Data?/

\4. Spring


3. Spring

Deflection?

5. Spring

Deflection? Data?

Data?/

\/

Deflection? Data? (part of)

6. Spring


Height?

Spring Stack

Deflection? Data? Configuration of Stack

special Data Points

(User Input)

0.56 80 1 624.00

Deflection more than flat Position? Data Reset with +L

Force vs. Deflection Data of Disc Spring

h0 / t K4 * h0' / t' L0

0.00 51.00 5.00 7.80

Help-Text

De / 2

Di / 2lo t

Edge I

IIIII


8/12

De Di t t' l0 s-Stack p-Stack

[mm] [mm] [mm] [mm] [mm] i n

100.00 51.00 5.00 7.80 0.56 80 1 624.00

Deflection sOM s1 s2 s3

[mm] [N/mm2] [N/mm

2] [N/mm

2] [N/mm

2]

0.000 0.0 0.0 0.0 0.0

22.400 -176.4 -370.8 132.7 204.3

44.800 -352.9 -729.0 278.0 400.6

67.200 -529.3 -1074.7 435.8 588.9

89.600 -705.7 -1407.9 606.1 769.3

112.000 -882.1 -1728.5 788.9 941.6

134.400 -1058.6 -2036.6 984.3 1105.9

156.800 -1235.0 -2332.2 1192.2 1262.3

179.200 -1411.4 -2615.3 1412.6 1410.7

201.600 -1587.9 -2885.8 1645.6 1551.0

224.000 -1764.3 -3143.8 1891.1 1683.4

OM 1 2 3

Stress Conditions for the Disc Spring

h0 / t K4 * h0' / t' L0

Calculation of Stress Condition assumes linear-elastic Material without any Residual Stresses !

Deflection more than flat Position!

special Data Points

0

0

0

0

0

0

0

0

0.00 50.00 100.00 150.00 200.00 250.00

Deflection [mm]

Stress Distribution vs. Deflection


9/12

Load Pnt. 1 Load Pnt. 2

s1 [mm] s2 [mm]

6.000 170.000

Edge: 3

lower Stress upper Stress

su [N/mm2] so [N/mm

2] 2

55.5 1350.7

Re-assess Life Time Calculation, due to very large Spring Stack!

Re-assess Life Time Calculation, due to pre-load condition!

Life Time Calculation is extrapolated, due to high upper Stress!

No. of Cycles1,000

until Fracture appears

Range of Life Time extrapolated compared to DIN 2093

Calculation of Fatigue Life based on Dynamic Loading

max. Stress at

Life Time Calculation according to DIN 2093

for Disc Spring Group

0.00

20.00

40.00

60.00

80.00

100.00

120.00

140.00

160.00

180.00

Deflection[mm]

Time [ ]

Amplitudes at dynamic Loading


10/12

1.8159 100.00 mm De

51.00 mm Di

5.00 mm t

20 C mm t'

206,000 N/mm2

7.80 mm lo

0.3

t. Height h0 / t 0.56

m] [mm] K4 * h0' / t'

00 624.00 E1

40 6 01.60

80 5 79.20

20 5 56.80

60 534.40 Seriell 80 i

00 512.00 Parallel n

40 489.60 Total Height (unloaded) 624.00 mm Lo Stack 80

80 467.20

20 444.80

60 422.40

00 400.00

ng)

m] s [mm]

70 2.10

sU 56 N/mm2

max. loaded Edge:

sO 1,351 N/mm2

>> Edge 3

s1 6.00 mm F1 N

s2 170.00 mm F2 N

within Working Range between Load Point 1 and Load Point 2 1,000

1,609.7

36,698.6

dimensions and forces please contact us under the given numbers (see above).

Dynamic Applications:

*h0) acc. to DIN 2093

Ftest [N]

36,339.2

30,146.9

34,309.5

38,341.8

42,287.1

46,189.0

11,323.6 Spring Stack

16,442.3

21,256.7 Number of Springs

25,810.4 in the Spring-

[N]

0.0

5,857.4

unloaded Height

Curve Parameter

Spring Force

- Thickness

se reduced Thickness

Outer Diameter

51CrV4 Inner Diameter

Spring Dimensions

100.00 51.00 5.00

parameters shown Germany, UK and USA

Phone (+49) 7182 12 0 Fax +49 7182 12 315

7.80

only disc dprings according to DIN 2093 High Precision Parts

guarantee compliance with Christian Bauer

are without any guarantee

regarding the correctness of data Your Partner for

Disc Springs and

Disc Springs acc. to DIN 2092 / 2093 10/19/2012

all data given on this sheet

0

5,000

10,000

15,000

20,000

25,000

30,000

35,000

40,000

45,000

50,000

0.00 50.00 100.00 150.00 200.00 250.00

Spring

Force

[N]

Deflection [mm]

Force vs. Deflection Curve

END OF DATA PLOT

t

Edge I

IIIII


11/12

1.8159 3.937 inch De

2.008 inch Di

0.197 inch t

20 C inch t'

29,855 KSI 0.307 inch lo

0.3

t. Height h0 / t 0.56

'] [''] K4 * h0' / t'

0 24.567 E12 23.685

4 22.803

6 21.921

8 21.039 Seriell 80 i

9 20.157 Parallel n

1 19.276 Total Height (unloaded) 24.567 inch Lo Stack 80

3 18.394

5 17.512

7 16.630

9 15.748

'] s ['']

4 0.083

sU 8 KSI max. loaded Edge:

sO 196 KSI >> Edge 3

s1 0.236 inch F1 lb

s2 6.693 inch F2 lb8,247.3

within Working Range between Load Point 1 and Load Point 2 1,000

s

361.8

dimensions and forces please contact us under the given numbers (see above).

Dynamic Applications

*h0) acc. to DIN 2093

g)

Ftest [lb]

8,166.5

6,774.9

7,710.4

8,616.5

9,503.2

10,380.1

2,544.8 Spring Stack

3,695.1

4,777.0 Number of Springs

5,800.4 in the Spring-

[lb]

0.0

1,316.3

unloaded Height

Curve Parameter

Spring Force

- Thickness

se reduced Thickness

Outer Diameter

51CrV4 Inner Diameter

Spring Dimensions

3.937 2.008 0.197

parameters shown Germany, UK and USA

Phone (+49) 7182 12 0 Fax +49 7182 12 315

0.307

only disc dprings according to DIN 2093 High Precision Parts

guarantee compliance with Christian Bauer

are without any guarantee

regarding the correctness of data Your Partner for

Disc Springs and

Disc Springs acc. to DIN 2092 / 2093 10/19/2012

all data given on this sheet

END OF DATA PLOT

t

Edge I

IIIII

0

2,000

4,000

6,000

8,000

10,000

12,000

0.000 2.000 4.000 6.000 8.000 10.000

Spring

Force

[lb]

Deflection [inch]

Force vs. Deflection Curve


12/12

Kraftwert1 Kraftwert2 Kraft Einfederung Federweg Krafthhe Federweg

sOM s1

0.00 0.00 0.00 0.000 0.0000 624.0000 0.0000 0.00

Weg1 Weg2 60.65 0.001 0.2240 623.7760 22.4000 -176.43

0 0 121.26 0.002 0.4480 623.5520 44.8000 -352.86

181.83 0.003 0.6720 623.3280 67.2000 -529.29

Sigma_konst 242.35 0.004 0.8960 623.1040 89.6000 -705.72

-659.8431358 302.83 0.005 1.1200 622.8800 112.0000 -882.15

363.26 0.006 1.3440 622.6560 134.4000 -1058.57

423.66 0.007 1.5680 622.4320 156.8000 -1235.00

484.00 0.008 1.7920 622.2080 179.2000 -1411.43

544.31 0.009 2.0160 621.9840 201.6000 -1587.86

604.57 0.010 2.2400 621.7600 224.0000 -1764.29

664.79 0.011 2.4640 621.5360 -1764.29

724.97 0.012 2.6880 621.3120

785.10 0.013 2.9120 621.0880

845.20 0.014 3.1360 620.8640 Weg1 0.00

905.24 0.015 3.3600 620.6400 Weg2 0.00

965.25 0.016 3.5840 620.4160

1025.21 0.017 3.8080 620.1920

1085.13 0.018 4.0320 619.9680

1145.01 0.019 4.2560 619.7440

1204.84 0.020 4.4800 619.5200

1264.64 0.021 4.7040 619.2960

K4-Berechnung

1324.39 0.022 4.9280 619.0720 1

1384.09 0.023 5.1520 618.8480 t > t' t = t'

1443.76 0.024 5.3760 618.6240 a a

1503.38 0.025 5.6000 618.4000 0

1562.96 0.026 5.8240 618.1760 b b

1622.50 0.027 6.0480 617.9520 0

1681.99 0.028 6.2720 617.7280 c c

1741.45 0.029 6.4960 617.5040 -4196

1800.86 0.030 6.7200 617.2800 k4^2 k4^2

1860.23 0.031 6.9440 617.0560 #DIV/0!

1919.55 0.032 7.1680 616.8320 k4 k4

1978.84 0.033 7.3920 616.6080 #DIV/0!

2038.08 0.034 7.6160 616.3840

2097.28 0.035 7.8400 616.1600

2156.44 0.036 8.0640 615.9360 0.00

2215.56 0.037 8.2880 615.7120 0.00

2274.63 0.038 8.5120 615.4880 0.00

2333.66 0.039 8.7360 615.2640 0.00

2392.66 0.040 8.9600 615.0400 0.00

2451.61 0.041 9.1840 614.8160 0.00

2510.51 0.042 9.4080 614.5920 0.00

2569.38 0.043 9.6320 614.3680 0.00

2628.20 0.044 9.8560 614.1440

2686.99 0.045 10.0800 613.9200

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calculo de platillos

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