Chapter 11
Compression spring according to DIN EN 13906-1, edition 2002

    11.1   Start the calculation module
    11.2   The input possibilities
    11.3   The spring geometry selection
    11.4   The material selection
    11.5   The message window
    11.6   The calculation results
    11.7   The diagrams
    11.8   The documentation: The calculation report
    11.9   How to save the calculation
    11.10   The button ‘Redo’ and ‘Undo’
    11.11   The button ‘Options’
    11.12   Example: Compression spring according to DIN EN 13906-1, edition 2002

11.1 Start the calculation module

Please login with your user name and your password. Select the module ‘Compression spring’ through the tree structure of the Project Manager by double-clicking on the module or clicking on the button ‘New calculation’.

The calculation module is opened in a new window.

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Figure 11.1: A general overview

11.2 The input possibilities

11.2.1 The input of spring force and spring deflection

For the calculation of the compression spring according to DIN EN 13906-1 forces or deflections or a combination of both can be specified for the calculation. Other parameters that describe the compression spring geometry (e.g., length, diameter and coils) can be entered manually or can be selected from the spring geometry database according to DIN 2098. In case you enter the data manually, you can determine individual compression springs. During the input of the manual definition of the spring geometry, the values depending on the entered values are calculated automatically.

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Figure 11.2: The input fields for spring force and deflection

For the entry of forces and deflections there are the following possibilities:

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The entry of forces

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The entry of deflection

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The entry of forces and deflections

The input fields that depend on each other are color-coded to guide you. When you click on the input field, this input field turns violet. The appropriate input field will turn yellow. It makes it easy for you to see how these values relate to each other and how they change.

Please note: Change the unit of measurement

Use this function to change the unit of measurement.

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1. Just a right-click on the input field where you want to change the unit of measurement.

A context menu is opened. This menu contains a survey of all available units. The two arrows mark the current setting.

2. Select the unit.

With the modification of the unit of measurement, the description of the input field changes. The current field value will be converted automatically into the chosen unit of measurement.

11.2.2 The transversal spring

If an axial loaded spring with parallel ends is loaded transversely to its axis, a transversal spring with local stress increase appears (DIN EN 13906-1:2002 (D) p. 280). Consider here the transversal spring. Please enter either force or deflection.

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Figure 11.3: Transversal spring

11.2.3 The coils

Here the number of active coils n can be entered manually. The manual entry allows the dimensioning of individual compression springs. Activate the option ‘unsprung’ and enter a value for the number of unsprung coils.

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Figure 11.4: The coils

Enter a value either for the coils n or the spring rate R . The input fields are color-coded, too. For example: In case you enter a number of active coils, the spring rate is determined automatically and the data input field turns yellow. In case you define the spring rate, the data input field for the coils turns yellow.

Please note: Click on the button ‘Options’ in the upper line of the calculation module and consider the wire diameter tolerances. Select DIN 2076 B/C and DIN 2077. The calculation report contains all detailed information on the tolerances according to DIN 2095 or DIN 2096 (see section 11.11 ‘The options’).

11.2.4 The spring end types

Select the following spring end types:

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Figure 11.5: Selection of spring end types

Please note: Move fast within the listbox and select the various end types using the arrow keys ‘Up’ and ‘Down’ on your computer keyboard. The result panel and the diagrams display all changes.

11.2.5 The support of spring end types

For the support of spring end types the following options are available:

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Figure 11.6: The support of spring end types

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Figure 11.7: A representation of spring end types

Please note: Select the option ‘Own input’ and enter your own supporting coefficient ν of the spring end type.

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Figure 11.8: Own input

11.2.6 The load

Before you start the calculation, it should be clarified whether the load refers to a dynamic or static/quasi static load. The calculation is possible for both dynamic and static/quasi static load.

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Figure 11.9: The load

Please note: Quasi static load means: Number of load changes N ≤ 104

11.2.7 The input of lengths and diameters

Please enter here the data for the lengths and diameter. The input fields that are depending on each other are color-coded.

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Figure 11.10: The lengths and diameters

For example: Click on the input field for the length L
 1  , this field turns violet. The lengths L
 0  and L
 2  turn yellow. Modify L
1  , then L
 0  and L
 2  change, too.

11.3 The spring geometry selection

The calculation module allows to add all values for the compression spring geometry (length, diameter and coils) you already know, but you can also use the spring geometry database according to DIN 2098. The spring geometry selection suggests compression springs. At first, define the loads, then click on the button ‘Spring geometry database’.

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Figure 11.11: The button ‘Spring geometry database’

The spring geometry database is opened.

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Figure 11.12: The spring geometry database

The database provides a list of all spring geometries that can be used for your case of application. Please select the compression spring and confirm with the ‘OK’ button.

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Figure 11.13: The spring geometry selection

The spring geometry is taken over now.

The option ‘Show only geometries that are applicable for the entered values.’ is activated by default. If you want to display all geometries, remove the checkmark from its box and select a spring geometry. Confirm with the ‘OK’ button.

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Figure 11.14: The option is activated

11.4 The material selection

Click on the button ‘Material’. The following database provides an extensive material selection. In case you cannot find the required material in the database, you can define your own material.

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Figure 11.15: The button ‘Material’

The material database opens.

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Figure 11.16: The material database

Select a material from the list. Further, you will get detailed information on the material.

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Figure 11.17: Select from the list

Please note: Move fast within the listbox and select the material by using the arrow keys ‘Up’ and ‘Down’ on your computer keyboard. This allows you to browse through the list to view details or to compare different materials.

Choose the entry ‘User defined’ to define your own material. When you click ‘User defined’, the input fields are enabled so you can fill in your own values.

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Figure 11.18: The user-defined material

Then specify the individual material as well add a short comment. Confirm your entries with the ‘OK’ button.

Please note: Please note that by changing the material, your individual definition of a material is deleted.

Depending on the manufacturing process of the chosen material (e.g. hot-formed rolled or cold-formed), the calculation of the tolerances is determined according to DIN 2095 or DIN 2096. In addition, the eigenfrequency of the spring is calculated.

11.5 The message window

The calculation module contains a message window. You get all information, warnings and hints. For example whether the compression spring is suitable for the case of application. The information will also appear in the calculation report later. After the completion of your calculation, click on the ‘Report’ button to create a calculation report (see section 11.8 ‘The documentation: Calculation report’).

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Figure 11.19: The message window

11.6 The calculation results

All important calculation results are determined and displayed immediately during the input of your values. After every data input, your result will be calculated again. Click on the button ‘Calculate’, your input data will be confirmed, the results will be calculated and be displayed in the result panel. If you press the ‘ENTER’ or the ‘TAB’ key of your keyboard or click in a different input field, your data will be also confirmed automatically. If the result exceeds certain values, the result will be marked red.

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Figure 11.20: The calculation results

11.7 The diagrams

You get a graphical representation of the load-deflection and Goodman diagram. Click on the diagram to see the full image and details.

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Figure 11.21: The load deflection and Goodman diagram

Please note: The Goodman diagram is displayed only for the dynamic load.

11.8 The documentation: The calculation report

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

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Figure 11.22: The ‘Report’ button

The calculation report is opened.

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Figure 11.23: The calculation report

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

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Figure 11.24: Save, print and PDF features

11.9 How to save the calculation

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

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Figure 11.25: The ‘Save’ button

If you have activated the option ‘Enable file save local’ in the Project Manager and the option ‘Local’ in the calculation module, a standard Windows dialog for saving the file on your workstation appears.

Please note: You must not forget that the calculation module has to be closed to activate the option ‘Enable file save local.’

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Figure 11.26: Windows dialog for saving the file

In case you have not activated this option, a new window is opened and you can save the calculation on the eAssistant server.

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Figure 11.27: Save the calculation

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 ‘File’.

11.10 The button ‘Redo’ and ‘Undo’

The button ´Undo allows you to reset your input to an older state. The button ‘Redo’ reverses the undo.

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Figure 11.28: The ‘Redo’ and ‘Undo’ button

11.11 The button ‘Options’

The button ‘Options’ allows you to change some general settings.

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Figure 11.29: The ‘Options’ button

A new window is opened.

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Figure 11.30: The options

Here you can change some general settings. Modify the tolerances for the wire diameter according to DIN 2076 B/C and DIN 2077 as well consider the operating temperature.

Please note: If you would like to change these values permanently, you can save your desired settings as a ‘standard’ file. For further details, please check the ‘General functions’ chapter.

11.12 Example: Compression spring according to DIN EN 13906-1, edition 2002

11.12.1 Start the calculation module

Please login with your user name and your password. Select the module ‘Compression spring’ through the tree structure of the Project Manager by double-clicking on the module or clicking on the button ‘New calculation’.

The calculation module is opened in a new window.

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Figure 11.31: The calculation module

11.12.2 The input values

A cold-formed compression spring 4 x 32 x 120 made of patented cold drawn wire

Wire diameter d = 4 mm

Diameter D = 32 mm

Coils n = 8.5

Length of the unloaded spring L0  = 120 mm

is alternately loaded with

Spring force F1  = 300 N

Spring force F2  = 500 N

We are looking for the spring rate R , the corrected shear stress at spring force τk2  for F2  = 500 N and spring deviation sh  .

11.12.3 The calculation

The entry of spring forces

Please start to enter the spring forces F1  and F2  .

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Figure 11.32: The entry of spring forces

During the entry of the spring forces, the corresponding spring deflections are determined and color-coded.

The entry of coils and wire diameter

Enter the number of coils n as well as the wire diameter d .

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Figure 11.33: The coils d and wire diameter d

The settings for the spring ends, the support of spring as well the load are not changed.

The entry of spring length and spring diameter

Enter the spring length L0  and the spring diameter D .

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Figure 11.34: The entry of length and diameter

The material selection

To find the required material for the compression spring, click on the button ‘Material’.

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Figure 11.35: The button ‘Material’

The material selection is opened.

Select the following material from the listbox: patented cold drawn wire DH according to EN 10270-1: 2001, shot peended, N=10e7  .

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Figure 11.36: Select the material

11.12.4 The calculation results

When you enter the values, the result is determined and displayed immediately. You can find all detailed results in the result panel.

The spring rate

The spring rate R is = 9,364 N/mm and is displayed above the input field for the wire diameter.

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Figure 11.37: The result for the spring rate

The shear stress at spring force

In order to find the result for the shear stress, click on the ‘Report’ button. The shear stress τk2  at spring force F2 is = 636,62 N/mm2  .

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Figure 11.38: The result for the shear stress

The spring deviation

You will find the value for the spring deviation s
 h  in the result panel. The spring deviation s
 h  is = 21,36 mm.

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Figure 11.39: The result for the spring deviation

11.12.5 The documentation: The diagrams and the calculation report

The diagrams

The results are clearly displayed in the diagrams. Click on the diagram to see the full image and details.

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Figure 11.40: The diagrams

The calculation report

After the completion of your calculation, you can create a calculation report. Click on the ‘Report’ button. You can navigate through the report via the table of contents that provides links to the input values, results and figures. The report is available in HTML and PDF format. Calculation reports, saved in HTML format, can be opened in a web browser or in Word for Windows.

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Figure 11.41: Save, print and PDF features

11.12.6 How to save the calculation

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

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Figure 11.42: The ‘Save’ button

If you have activated the option ‘Enable file save local’ in the Project Manager and the option ‘Local’ in the calculation module, a standard Windows dialog for saving the file on your workstation appears.

Please note: You must not forget that the calculation module has to be closed to activate the option ‘Enable file save local.’

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Figure 11.43: Windows dialog for saving the file

In case you have not activated this option, a new window is opened and you can save the calculation on the eAssistant server.

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Figure 11.44: Save the calculation

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 ‘File’.

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