Fagor Automation

CALCULO DE ARANDELAS ONDULADASDate :2011/02/02

Page 1 / 2

Hay que asegurar que la carga axial mínima aplicada mediante la presión que ejerce la arandela o arandelas

onduladas sea de 0,01xC. Siendo C la capacidad de carga dinámica del rodamiento mas grande (independientemente

de cual sea el rodamiento fijo). Para el ejemplo en el que lleve 2 rodamientos como los abajo indicados, la carga mínima

a aplicar seria de 325N.

Doc.: Calculo arandelas onduladas.odt

Fagor Automation

CALCULO DE ARANDELAS ONDULADASDate :2011/02/02

Page 2 / 2

Para asegurar esta carga mínima en los rodamientos, hay que tener en cuenta el conjunto de tolerancias axiales

y la posible dilatación por temperatura de las piezas.

A continuación se adjunta el informe de calculo de tolerancias realizado Dr.Braun Inst. para el FKM8

Doc.: Calculo arandelas onduladas.odt

Stack-up Analysis

Program

Module version

User

Date

Customer

Proj. Nr

: MDESIGN

: 5.0.1

: Schulz

: 07.08.2009

: Fagor

: FKM8 mod

Toleranzkette Welle Gehaeuse.xml 09/24/2010 09:25:23 Page 1/3

The calculation module is based on the DIN 7186 sta ndard of August 1974 "Statistische Tolerierung", which defines the rules of calculation for resulting dimensions from component dimensions. Th e dimensions and tolerances within a piece or assembly are defined a nd the overall circuit is then solved for the unknown dimensions, toleranc es, probabilities, and confidence intervals.

Calculation Notice:

sum of tolerances circle bearing NDE, shaft, bearing DE, endshield, h ousing, endshield

Input data:

Stack-up Analysis Dimensions chain

Nr. Nominal dimension

Lower dimens. defl.

Upper dimens. defl.

Direction

1 17 -0.12 0 -12 223.1 0 0.1 -13 3 -0.05 0.05 -14 237 -0.1 0.1 15 8 -0.05 0.05 1

Specified tolerance ±Tq : 0Probability interval P : 0 %Number of figures in fract. part of output data 2

Results

Dimensions chainNominaldimension

Min.dimens.

Max.dimens.

Separatetolerance

Meandimension

Deflection ofmean dimension

17.00 16.88 17.00 0.12 16.94 0.06 223.10 223.10 223.20 0.10 223.15 0.05 3.00 2.95 3.05 0.10 3.00 0.05 237.00 236.90 237.10 0.20 237.00 0.10 8.00 7.95 8.05 0.10 8.00 0.05

Classic calculation method -

End dimension X = 1.90Lower end tolerance = -0.30

Stack-up Analysis

Program

Module version

User

Date

Customer

Proj. Nr

: MDESIGN

: 5.0.1

: Schulz

: 07.08.2009

: Fagor

: FKM8 mod

Toleranzkette Welle Gehaeuse.xml 09/24/2010 09:25:23 Page 2/3

Upper end tolerance = 0.32Minimum dimension Xmin = 1.60Maximum dimension Xmax = 2.22Arithmetic tolerance Ta = 0.62

Statistic calculating method :

Arithmetic mean Xm = 1.91Meansquare closed tolerance ± σ = 0.15Square tolerance Tg = 0.29Small dimension Xmin = 1.76Large dimension Xmax = 2.06Probability X<Xmin P(X<Xmin) = 0.13 %Probability X>Xmax P(X>Xmax) = 0.13 %Confidence level for the range (Xmin,Xmax) P = 9 9.73 %

The probability of value hitting in the half rangeDivision-able by t

Expectedvalue

X<Xm+t*σσσσ

Probabi-lity

Expectedvalue

X> Xm+t*σσσσ

Probabi-lity

-5.0 X < 1.67 0.00003% X > 1.67 99.99997% -4.0 X < 1.72 0.00317% X > 1.72 99.99683% -3.0 X < 1.76 0.13500% X > 1.76 99.86500% -2.0 X < 1.81 2.27100% X > 1.81 97.72900% -1.0 X < 1.86 15.87000% X > 1.86 84.13000% 0.0 X < 1.91 50.00000% X > 1.91 50.00000% 1.0 X < 1.96 84.13000% X > 1.96 15.87000% 2.0 X < 2.01 97.72900% X > 2.01 2.27100% 3.0 X < 2.06 99.86500% X > 2.06 0.13500% 4.0 X < 2.10 99.99683% X > 2.10 0.00317% 5.0 X < 2.15 99.99997% X > 2.15 0.00003%

The probability of hitting the value in the range,which is symmetrically ordered concerning the middl e value

Divisionableby t

Dim. interval forXm-t*σσσσ<X<Xm+t*σσσσ

Probabi-lity

Rejectionrate

0.5 1.89 < X < 1.93 38.30000% 61.70000% 1.0 1.86 < X < 1.96 68.26000% 31.74000% 1.5 1.84 < X < 1.98 86.63800% 13.36200% 2.0 1.81 < X < 2.01 95.45800% 4.54200% 2.5 1.79 < X < 2.03 98.75800% 1.24200% 3.0 1.76 < X < 2.06 99.73000% 0.27000% 3.5 1.74 < X < 2.08 99.95348% 0.04652% 4.0 1.72 < X < 2.10 99.99367% 0.00633% 4.5 1.69 < X < 2.13 99.99932% 0.00068% 5.0 1.67 < X < 2.15 99.99994% 0.00006%

Stack-up Analysis

Program

Module version

User

Date

Customer

Proj. Nr

: MDESIGN

: 5.0.1

: Schulz

: 07.08.2009

: Fagor

: FKM8 mod

Toleranzkette Welle Gehaeuse.xml 09/24/2010 09:25:23 Page 3/3

Gauss bell-like curve

1.91 1.961.86 2.011.81 2.061.76 2.101.72 2.151.67

0.000% 0.003% 0.135% 2.271% 15.870% 50.000% 84.130% 97.729% 99.865% 99.997% 100.000%

Middle size = 1.910

Largest size = 2.055

Smallest size = 1.765

Tolerance = 0.291