Chapter 12
Tension spring according to DIN EN 13906-2, edition 2002

    12.1   Start the calculation module
    12.2   The input possibilities
    12.3   The material selection
    12.4   The spring end types
    12.5   The message window
    12.6   The calculation results
    12.7   The diagrams
    12.8   The documentation: The calculation report
    12.9   How to save the calculation
    12.10   The button ‘Redo’ and ‘Undo’
    12.11   The button ‘Options’

12.1 Start the calculation module

Please login with your user name and your password. Select the module ‘Tension 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 12.1: A general overview

12.2 The input possibilities

12.2.1 The input of spring forces and deflections

For the calculation of the tension spring according to DIN EN 13906-2 forces or deflections or a combination of both can be specified for the calculation.

The values depending on parameters entered previously are calculated automatically.

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Figure 12.2: The input fields for the spring forces and deflections

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 deflection

The input fields that depend on each other are color-coded to guide you. When you click into an input field, this input field turns violet. The corresponding 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.

A context menu is opened that contains 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 appropriate unit of measurement.

12.2.2 The wire diameter and spring rate

Enter either a value for the wire diameter d or the spring rate R . Both values are calculated.

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Figure 12.3: The wire diameter and spring rate

When you click on the input field, the corresponding input field turns yellow. It makes it easy for you to see how these values relate to each other and how they change.

Please note: To consider the tolerances for the wire diameter, click on the ‘Options’ button. Select DIN 2076 B/C or DIN 2077. In addition, the calculation report contains all information on the tolerances according to DIN 2097 (see section 12.11 ‘The button Options’).

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Figure 12.4: The tolerances

12.2.3 The input of diameters and lengths

You can enter the values for the tension spring geometry, such as length, diameter and coils. According to the specified input value, the values are calculated automatically.

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Figure 12.5: The input of diameter and length

12.2.4 The coil clearance and initial tension

For cold-formed springs an initial tension is created that elastic coils lie on top of each other without any load. Hot-formed springs have no initial tension and are manufactured with a clearance between the coils. Add the number of coils n to the appropriate input field.

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Figure 12.6: The coil clearance and initial tension

Please note: Click on the ‘Material’ button to open the material database. Here you can select different materials. Futhermore, you get information on the manufacturing process (see also section 12.3 ‘The material selection’).

12.2.5 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 12.7: The load

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

12.3 The material selection

Click on the ‘Material’ button and select the material from the database. In case you cannot find the required material in the database, you can define your own material.

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Figure 12.8: The ‘Material’ button

The material database is opened.

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Figure 12.9: The material selection

Please select the material from the list. Further, you will get detailed information on the material.

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Figure 12.10: The selection from the listbox

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.

To define your own material for the spring, please select the entry ‘User-defined’.

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Figure 12.11: User-defined material

Specify the individual material and add a comment. Confirm your inputs with the ‘OK’ button.

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Figure 12.12: Add a comment and individual input values

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.

Please note: Because there is no DIN standard that provides geometry data for the tension spring, the ‘Spring geometry database’ button is disabled. In case you need geometry data, please contact the spring manufacturer.

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Figure 12.13: The database for the spring geometry

12.4 The spring end types

Various forms of loops and connection elements are used for the spring power transmission. Select the spring end types from the list:

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Figure 12.14: The selection of spring end types

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Half german loop


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Full german loop

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Double german loop


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Full german loop sidewise


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Double german loop sidewise


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Raised hook


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Raised hook sidewise


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English loop


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Coned end with swivel hook


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Threaded bolt rolled up


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Threaded bolt screwed in


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Screw ear screwed in


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Full german loop angular

Please note: You can combine any loop form or connection element for the spring ends. In order to select equal spring ends very fast, simply activate the option ‘Equal spring ends’. When this option is enabled, equal spring ends are displayed automatically in the list. Is this option disabled, you can combine again different end types. Additionally, you get a representation for each end type.

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Figure 12.15: The option ‘Equal spring ends’

The own input of L
 H  and unsprung coils

The distance L
H  from the inner edge of the loop to the spring body is displayed as well as the unsprung coils.

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Figure 12.16: LH  and unsprung coils

The calculation module enables you to define your own distance and to calculate special tension springs. You can enable the input field by clicking the small checkbox next to it. After clicking the checkbox, you have to enter the input value.

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Figure 12.17: Activate your own input

12.5 The message window

The calculation module contains a message window. You get all information, warnings and hints. For example whether the tension 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 12.8 ‘The documentation: The calculation report’).

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Figure 12.18: The message window

12.6 The calculation results

All important calculation results, such as the static and dynamic utilization of the permissable stress, the spring deviation sh and the utilization of the permissable spring deflection sn  , are determined and displayed immediately during the input of values. Which means that after every input of data, the results are 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 12.19: The calculation results

12.7 The diagrams

You get a graphical representation of the load-deflection diagram and Goodman diagram. Click on the diagram and a larger image is opened in a new window.

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Figure 12.20: The load-deflection and Goodman diagram

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

12.8 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 12.21: The ‘Report’ button

The report is opened.

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Figure 12.22: 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 12.23: Save, print and PDF features

12.9 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 12.24: 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 12.25: 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 12.26: 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’.

12.10 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 12.27: The ‘Redo’ and ‘Undo’ button

12.11 The button ‘Options’

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

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Figure 12.28: The ‘Options’ button

A new window is opened.

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Figure 12.29: The options

Here you can change the 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 change here also the number of decimal places which will appear later in the calculation report.