Contents

    1.1   Calculation Examples: Rolling Bearing According to DIN ISO 281
       1.1.1   Start the Calculation Module
       1.1.2   First Calculation Example
       1.1.3   The Calculation
       1.1.4   Calculation Results
       1.1.5   Documentation: Calculation Report
       1.1.6   Save the Calculation
       1.1.7   Second Calculation Example
       1.1.8   The Calculation
       1.1.9   Calculation Results
       1.1.10   Documentation: Calculation Report
       1.1.11   Save the Calculation

1.1 Calculation Examples: Rolling Bearing According to DIN ISO 281

1.1.1 Start the Calculation Module

Please login with your username and your password. Select the module ‘Rolling bearings calculation’ through the tree structure of the project manager by double-clicking on the module or clicking on the button ‘New calculation’.

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Figure 1.1: Start the calculation module

1.1.2 First Calculation Example

Bearing for a Rope Sheave of a Pulley Block

The wrap angle for rope sheaves of pulley blocks is 180∘ . Therefore, the load on the bearing is twice the rope pull. The axial forces and the resulting moments are low. When the diagonal pull is 5∘ , then the axial forces have to be considered for the calculation of the rating life. Adequate bearing spread for load accommodation is achieved by mounting either two bearings or one double-row bearing. In the following example the rating life and expanded modified rating life are to be calculated.

We have taken this example from: J. Braendlein: Die Waelzlagerpraxis: Handbuch zur Berechnung und Gestaltung von Waelzlagern (1995, p. 466-470).

Please enter the following input values:

Bearing load 65 kN

Type of bearing Tapered roller bearing (single row)

Speed n 30 min-1

Built-in bearing Tapered roller bearing (100 x 150 x 67)

For-life lubrication Grease with EP-additive

Illustration of a rope sheave of a pulley block including the tapered roller bearing. (The following figure: J. Braendlein: Die Waelzlagerpraxis, p. 467).

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Figure 1.2: Rope sheave of a pulley block

1.1.3 The Calculation

Define Number of Bearings

In this example we would like to calculate one bearing of a tapered roller bearing pair. When you open the calculation module, usually one bearing is shown. So it is not necessary to change the number of the bearings. You can enter a description into the comment field, for example ‘Bearing of the rope sheave’.

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Figure 1.3: Number of bearings

Select Manufacturer and Bearing Type

The extensive bearing database provides over 20.000 bearings from different manufacturers. Select the bearing manufacturer ‘SKF 2007’ from the listbox. Next, choose the bearing type ‘Tapered roller bearing (single row)’.

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Figure 1.4: Select the manufacturer and bearing type

Specification of Bearing Load

Enter the values for the bearing load now. Please keep in mind that the values will be entered in ‘kN’. Right-clicking allows you to change the unit of measurement.

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Figure 1.5: Values for the bearing load in kN

Bearing Selection

Click on the button ‘Bearing selection’ to open the bearing database.

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Figure 1.6: Button ‘Bearing selection’

There are ‘578’ bearings in the database right now. Search filters have been developed to assist in searching this extensive amount of bearings and to quickly find the bearing you are looking for. You can filter the bearing types by the inner and outer diameter so that you can only see bearing types with this particular diameter. Enter the inner and outer diameter and click the button ‘Search’.

Inner diameter of bearing = 100 mm

Outer diameter of bearing = 150 mm

Select the bearing ‘32020 X/Q’ and confirm with the button ‘OK’.

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Figure 1.7: Found bearings

1.1.4 Calculation Results

Rating Life

All results will be calculated during every input and will be displayed in the result panel. A recalculation occurs after every data input. Any changes that are made to the user interface take effect immediately. First, you get the result for the rating life as well as the static identification number.

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Figure 1.8: Result for the rating life

The result of the rating life is L
 10  = 14.237,9 h

For rope sheaves, a rating life from 5.000 to 20.000 hours is required. The bearing is sufficiently dimensioned. You will find a note in the message window but you can ignore this message. When the pair is fitted together, then the correct axial clearance and the necessary axial force for the tapered roller bearing occur.

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Figure 1.9: Message window

Expanded Modified Rating Theory

After you get the result for the rating life, please have a look at the expanded modified rating life Lnm  regarding the operating conditions (lubrication, clearance). The option ‘Use expanded modified rating theory’ is activated by default.

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Figure 1.10: Expanded modified rating theory

Now you an define the requisite reliability and the cleanness as well as a lubricant. Please select the grease ‘Klueber Kluebersynth BMQ 72-162 (094073)’. Select this lubricant directly from the listbox. If you need detailed information, please click on the button ‘Lubricant’.

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Figure 1.11: Lubricant selection

Clicking the button ‘Lubricant’ opens the lubricant database. Here you can see that the grease contains active EP additive.

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Figure 1.12: Lubricant database

Next, you have to estimate the influence of possible impurities by using the cleanness factor. Actually, it is assumed that the ‘highest cleanness’ is used for sealed and greased bearings (for-life-lubrication). But during the entire operating time, a certain wear of the seals could occur which can let light impurities into the bearing. In this case you can assume light impurities. Therefore, choose ‘Light impurities’ from the listbox.

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Figure 1.13: Light impurities

Now you get immediately the result for the expanded modified rating life.

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Figure 1.14: Expanded modified rating life

The result of the expanded modified rating life is L
  nm  = 8.911,8 h.. Finally, the expanded modified rating life L
nm is in the range of the rating life L
  10  .

Note: Press the ‘Up’ and ‘Down’ arrow to move through the listbox of cleanness parameters. Moving through the listbox changes the expanded modified rating life and the results will be displayed immediately in the result panel, making it very easy to compare the expanded modified rating life with different levels of cleanness. You can also navigate through the lubricant listbox.

1.1.5 Documentation: Calculation Report

After the completion of your calculation, you can create a calculation report. Click on the ‘Report’ button.

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Figure 1.15: Button ‘Report’

You can navigate through the report via the table of contents that provides links to the input values, results and figures. This calculation report contains all input data, the calculation method as well as all detailed results. The report is available in HTML and PDF format. The calculation report saved in HTML format, can be opened in a web browser or in Word for Windows.

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Figure 1.16: Calculation report

You may also print or save the calculation report:

Diagrams

Click on the button ‘Diagram’ next to the listbox. The diagram includes the values for the rating life and for the expanded modified rating life. The exact values can be selected directly from the graphical representation. Clicking the ‘Close’ button leads you back to the main mask.

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Figure 1.17: Button ‘Diagram’

1.1.6 Save the Calculation

When the calculation is finished, you can save it to your computer or to the eAssistant server. Click on the button ‘Save’.

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Figure 1.18: Button ‘Save’

Before you can save the calculation to your computer, you need to activate the checkbox ‘Enable save data local’ in the project manager and the option ‘Local’ in the calculation module. A standard Windows dialog for saving files will appear. Now you will be able to save the calculation to your computer.

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Figure 1.19: Windows dialog for saving the file

In case you do not activate the option in order to save your files locally, then a new window is opened and you can save the calculation to the eAssistant server. Please enter a name into the input field ‘Filename’ and click on the button ‘Save’. Then click on the button ‘Refresh’ in the project manager. Your saved calculation file is displayed in the window ‘Files’.

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Figure 1.20: Save the calculation

1.1.7 Second Calculation Example

Bearing of a Fan

The impeller of fans can be arranged either between two bearings or in an overhung position. The impeller of small and medium-sized fans is generally overhung. Two separated plummer block housings are suitable for supporting the fan drive shaft.

This calculation example we have taken from: J. Braendlein: Die Waelzlagerpraxis: Handbuch zur Berechnung und Gestaltung von Waelzlagern (1995, p. 516-520, figures: p. 517).

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Figure 1.21: Bearing unit for fan

The unit (figure 1.21) contains a cylindrical roller bearing A and a deep groove ball bearing B in a common housing (figure 1.22). The bearing diameter is 70 mm.

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Figure 1.22: Bearing of a fan

Input Values

The input values for bearing A (Cylindrical roller bearing NU 314 ECP)

Load Case No. 1 Load Case No. 2

Time slice q1 = 50% Time slice q2  = 50%

Speed n1 = 3.000 min-1 Speed n2  = 4.500 min-1

Radial force Fr1  = 8.500 N Radial force Fr2  = 11.000 N

Axial force F
a1  = 0 N Axial force F
 a2  = 0 N

Temperature T1  = 70∘ C Temperature T2  = 70∘ C

All input values for bearing B (deep groove ball bearing 6314)

Load Case No. 1 Load Case No. 2

Time slice q1 = 50% Time slice q2  = 50%

Speed n
1 = 3.000 min-1 Speed n
 2  = 4.500 min-1

Radial force Fr1  = 2.000 N Radial force Fr2  = 5.000 N

Axial force Fa1  = 5.000 N Axial force Fa2  = 5.000 N

Temperature T1  = 70∘ C Temperature T2  = 70∘ C

1.1.8 The Calculation

Define the Number of Bearings

In this example we want to calculate the rating life of the cylindrical roller bearing and the deep groove ball bearing. We have to different bearings and we need to change the number of bearings. So enter ‘2’ into the input field ‘Number of bearings to calculate’. Please calculate the bearings one after another separately. The listbox ‘Current view’ allows you to switch between the two bearings.

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Figure 1.23: Number of bearings

Add a comment for the first bearing.

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Figure 1.24: Add a comment

Select Manufacturer and Bearing Type

Now select the manufacturer ‘SKF’. Choose the cylindrical roller bearing from the listbox.

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Figure 1.25: Selection of the manufacturer and bearing type

Specification of Bearing Load with Load Collectives

Define the load collective for the first bearing. Activate the option ‘Use load collective’. The input options for the radial and axial force as well as for the speed will be deactivated.

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Figure 1.26: Bearing load

Define two load cases for the bearing. Enter the time slice, the radial force, axial force, the temperature and cleanness for each load case. After you made all entries, click the button ‘OK’ to confirm your inputs.

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Figure 1.27: Define the load collective

Bearing Selection

Click on the button ‘Bearing selection’.

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Figure 1.28: Bearing selection

It is increasingly convenient to use the search filter to quickly find the bearing you are looking for. Enter ‘70 mm’ for the inner diameter and click the button ‘Search’. Now you can choose the cylindrical roller bearing ‘NU 314 ECP’ from the list. Clicking the button ‘OK’ confirms the bearing and leads you back to the main mask.

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Figure 1.29: Bearing selection

1.1.9 Calculation Results

Rating Life of the Cylindrical Roller Bearing (Bearing Location A)

All results will be calculated during every input and will be displayed in the result panel. A recalculation occurs after every data input. Any changes that are made to the user interface take effect immediately. First, you get the result for the rating life as well as the static identification number.

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Figure 1.30: Rating life

The result of the rating life is L
 10  = 188.391,8 h

The cylindrical roller bearing is sufficiently dimensioned.

Rating Life for the Deep Groove Ball Bearing (Single Row) (Bearing Location B)

Calculate now the rating life for the deep groove ball bearing. Please pay attention that you select ‘Bearing No. 2’ from the listbox ‘Current view’.

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Figure 1.31: Deep groove ball bearing

Select the manufacturer ‘SKF’ and the bearing type ‘Deep groove ball bearing (single row)’.

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Figure 1.32: Bearing selection

Activate the option ‘Use load collective’.

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Figure 1.33: Button ‘Load collective’

Define the load cases. Enter the time slice, the radial force, axial force, the temperature and cleanness for each load case. After you made all entries, click the button ‘OK’ to confirm your inputs.

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Figure 1.34: Define the load collective

Click on the button ‘Bearing selection’.

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Figure 1.35: Button ‘Bearing selection’

Choose the bearing ‘6314’ from the list. It is increasingly convenient to use the search filter to quickly find the bearing you are looking for. Enter ‘70 mm’ for the inner diameter and click the button ‘Search’. Then you can select the bearing ‘6314’ from the list. Clicking the button ‘OK’ confirms the bearing and leads you back to the main mask.

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Figure 1.36: Deep groove ball bearing

The result for the rating life is L
  10  = 5.868 h

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Figure 1.37: Nominal rating life

The rating life of the deep groove ball bearing B is lower than the rating life of the cylindrical roller bearing A. This means that bearing B is subjected to higher stresses than bearing A. At least 22.0000 hours are required for the rating life of deep groove ball bearings. But with this result, the rating life is not sufficiently dimensioned. It is necessary to take a closer look at the expanded modified rating life L
 nm  of bearing B.

Expanded Modified Rating Life of the Deep Groove Ball Bearing

The next step is to determine the expanded modified rating life for the deep groove ball bearing. The option ‘Use expanded modified rating theory’ is activated by default. Select the grease ‘Lubcon Turmogrease Highspeed L 252 (K HC P 2/3 K-50)’ from the listbox or click on the button ‘Lubricant’ to open the lubricant selection. Choose the lubricant and confirm with the button ‘OK’.

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Figure 1.38: Expanded modified rating life

The result of the expanded modified rating life is L
  nm  = 34.092,4 h.

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Figure 1.39: Result for the expanded rating life

At least 22.000 hours are required and the bearing is sufficiently dimensioned. For the calculation with load collectives, you cannot open all diagrams. But you can open the diagram for the lubricant viscosity.

1.1.10 Documentation: Calculation Report

After the completion of your calculation, you can create a calculation report. Click on the ‘Report’ button. Click the button ‘Options’ and activate the diagram for the ‘Lubricant viscosity’. This diagram will then appear in the calculation report.

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Figure 1.40: Calculation report

You can navigate through the report via the table of contents that provides links to the input values, results and figures. This calculation report contains all input data, the calculation method as well as all detailed results. The report is available in HTML and PDF format. The calculation report saved in HTML format, can be opened in a web browser or in Word for Windows. You may also print or save the calculation report:

1.1.11 Save the Calculation

When the calculation is finished, you can save it to your computer or to the eAssistant server. Click on the button ‘Save’. Before you can save the calculation to your computer, you need to activate the checkbox ‘Enable save data local’ in the project manager and the option ‘Local’ in the calculation module. A standard Windows dialog for saving files will appear. Now you will be able to save the calculation to your computer.

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Figure 1.41: Windows dialog for saving the file

In case you do not activate the option in order to save your files locally, then a new window is opened and you can save the calculation to the eAssistant server. Please enter a name into the input field ‘Filename’ and click on the button ‘Save’. Then click on the button ‘Refresh’ in the project manager. Your saved calculation file is displayed in the window ‘Files’.

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Figure 1.42: Save the calculation

Our manual is improved continually. Of course we are always interested in your opinion, so we would like to know what you think. We appreciate your feedback and we are looking for ideas, suggestions or criticism. If you have anything to say or if you have any questions, please let us know via telephone +49 (0) 531 129 399-0 or email eAssistant@gwj.de.