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KISSsoft Tutorial: Compression springs acc. EN 13906 1 Starting ...

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<strong>KISSsoft</strong> <strong>Tutorial</strong>: <strong>Compression</strong> <strong>springs</strong> <strong>acc</strong>. <strong>EN</strong> <strong>13906</strong><br />

__________________________________________________________________________________________<br />

For Release 102008<br />

kisssoft-tut-014-E-compression-<strong>springs</strong>.doc<br />

Last modification 31/10/2008 08:36:00<br />

__________________________________________________________________________________________<br />

<strong>KISSsoft</strong> <strong>Tutorial</strong> 014: <strong>Compression</strong> <strong>springs</strong><br />

1.1 <strong>Starting</strong> the software<br />

1 <strong>Starting</strong> <strong>KISSsoft</strong><br />

Start <strong>KISSsoft</strong> using „Start/Program/<strong>KISSsoft</strong> 10-2008/<strong>KISSsoft</strong>“. The following window will<br />

appear:<br />

1.2 Select Calculation<br />

Figure 1.1-1: Start <strong>KISSsoft</strong>, <strong>KISSsoft</strong> main window.<br />

Using the Module tree window Tab “Modules”, select the compression <strong>springs</strong> calculation:<br />

Figure 1.2-1: Selecting compression <strong>springs</strong> calculation.<br />

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2.1 Task description<br />

2 Analysis of a compression <strong>springs</strong><br />

A cold formed compression <strong>springs</strong> 4 x 32 x 120 (material: spring-steel) should be dimensioned.<br />

Search for:<br />

Spring rate R<br />

Shear stress ô k2 at F 2 =300N<br />

Spring travel s h<br />

Afterwards the input of the following data is explained in this <strong>Tutorial</strong>:<br />

Wire diameter d<br />

4.0 mm<br />

coil diameter D<br />

40.0 mm<br />

Effective coil n<br />

12.5 mm<br />

Length of relaxes spring L 0<br />

235.0 mm<br />

Material<br />

Draht C (DIN 17223-1), untreated<br />

End of spring<br />

even<br />

Tolerances DIN 2095 quality standard 1<br />

Table 2.1-1: Geometry.<br />

Spring force F 1<br />

150 N<br />

Spring force F 2<br />

300 N<br />

Operating temperature 20.0 °C<br />

Stress<br />

dynamic<br />

Support<br />

fixed/ fixed<br />

2.2 Input of working data<br />

Table 2.1-2: Operating data.<br />

The operating data can be input, as below shown, directly in the input window, as an input of<br />

forces. The input of ways can be given alternatively.<br />

Figure 2.2-1: input window, area: ‚Working data’.<br />

The support kinds are shown in the help picture, which can be open with the „Info Button“ beside<br />

the support. The support coefficient í is used for the calculation of buckling travel s k . If the spring<br />

has not safe for buckling the spring will lead. The spring can buckle without support. If a leading is<br />

required a warning will be shown.<br />

Figure 2.2-2: Warning, the spring buckles and a leading is required.<br />

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2.3 Input Geometry and material<br />

Figure 2.2-1: kind of supports and “support coefficient” í.<br />

<strong>KISSsoft</strong> offers in his data base a big choice of different compression <strong>springs</strong> <strong>acc</strong>ording to<br />

DIN 2098 supplementary sheet 1. The desired spring can be selected from the list directly. In our<br />

example we choose an available spring.<br />

Should the necessary spring not exist, the spring itself can be defined in the list by choice of „own<br />

input“. You find more exact instructions in this tutorial in addition below.<br />

To find a suitable spring in the list, we click before on the Button "Update …". The values<br />

dependent on the input, as for example spring travel, spring forces are thereby calculated etc. and<br />

are indicated. Afterwards an optimum choice can be selected.<br />

By a right mouse click in the select list of the spring you can be determined which values should be<br />

indicated.<br />

Figure 2.3-1: input window, area: ‚Geometry’ - choose of spring.<br />

The type of spring ends, as well as the manufacture and the tolerance will select below the table.<br />

Figure 2.3-2: choose of shown values by right mouse click.<br />

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The material will be selected from a “Dropdown list” or will be defined over own input itself. By<br />

activating the flag in the "check box" for "shot-blasted" in the calculation will be considered that the<br />

wire is shot-blasted.<br />

2.4 Calculation<br />

Figure 2.3-3: choose the material.<br />

If all data are inputted, pressing in the Tool bar the icon “Ó” (or the button F5) in the main window<br />

the analysis will be started (see left marking in Figure 2.4-1) and the results will shown in the lower<br />

section of the main window. Note the status bar shows “Results are consistent” (see right marking<br />

in Figure 2.4-1).<br />

Figure 2.4-1: <strong>Starting</strong> the analysis and showing consistent results.<br />

In the results window is the appropriate spring rate R shown. In the graphics on the right side below<br />

the results are illustrated. There are a graphics for the force travel diagram and for the dynamic<br />

loads the Goodman- Diagram (if it not available, a diagram will approximate). To enlarge the<br />

graphics can be extracted by the button (right mark ) and scale up.<br />

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Figure 2.4-2: Force-Travel Diagram.<br />

Using in the Tool bar the icon to the right of “”<br />

data, analysis parameters, and results is written.<br />

Name : Unnamed<br />

Changed by : ho on: 16.06.2008 at: 14:44:52<br />

Figure 2.4-3: Goodman Diagram.<br />

(or F6) a report containing all input<br />

<strong>Compression</strong> <strong>springs</strong> [F010]<br />

Calculation method: <strong>EN</strong> <strong>13906</strong>-1 (2002)<br />

INPUTS:<br />

Spring geometry<br />

Wire diameter (mm) [d] 4.000<br />

Tolerance analog to DIN 2076 C (mm) [Tol_d] 0.025<br />

Coil diameter (mm) [D] 40.000<br />

Inside diameter (mm) [Di] 36.000<br />

Outside diameter (mm) [De] 44.000<br />

Length of relaxes spring (mm) [L0] 235.000<br />

Effective coils [n] 12.500<br />

Stiff turns [nu] 2.000<br />

Total number of winds [nt] 14.500<br />

Ends of spring<br />

surface flattend<br />

Bearings coefficient 0.500<br />

Material<br />

Material Draht C (DIN 17223-1)<br />

Cold shaped<br />

Not shot peened<br />

Shearing modulus at 20°C (N/mm²) [G20] 81500.000<br />

Tensile strength (N/mm²) [Rm] 1726.000<br />

Shearing Modulus depending on temperature (1/°C) [alphaE] -0.00028<br />

load<br />

Lower spring force (N) [F1] 150.000<br />

Higher spring force (N) [F2] 300.000<br />

Operating temperature (°C) [TB] 20.000<br />

dynamic loading<br />

Results :<br />

Spring rate (N/mm) [R] 3.260<br />

Maximal usable length (mm) [Ln] 77.113<br />

Maximum spring travel (mm) [sn] 157.887<br />

Sum of minimal distance [Sa] 18.750<br />

Force for maximal spring-trave (N) [Fn] 514.713<br />

Block length (mm) [Lc] 58.363 (- 0.362)<br />

Shear stress at block length (N/mm²) [tauc] 916.475<br />

Permissible shear stress at block length (N/mm²) [tauc_zul] 967.000<br />

Stress coefficient [kappa] 1.135<br />

Shear stress [taukh] 270.994<br />

Permissible way stress (N/mm²) [taukh_zul] 321.103<br />

The spring is safe for buckling in the used range<br />

Spring travel for buckling (mm) [sk] 101.548<br />

Spring froce for buckling (N) [Fk] 331.047<br />

Shear modulus at service temperature (°C) [G] 81500.000<br />

Diameter increase (mm) [DeltaD] 0.698<br />

Eigen frequency (Hz) [fe] 72.548<br />

Mass (g) [mass] 181.184<br />

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Load 1<br />

Spring force (N) [F1] 150.000<br />

Spring travel (mm) [s1] 46.012<br />

Spring length (mm) [L1] 188.988<br />

Shear stress (N/mm²) [tau1] 238.732<br />

Adjusted shear stress (N/mm²) [tau1k] 270.994<br />

Load 2<br />

Spring force (N) [F2] 300.000<br />

Spring travel (mm) [s2] 92.025<br />

Spring length (mm) [L2] 142.975<br />

Shear stress (N/mm²) [tau2] 477.465<br />

Adjusted shear stress (N/mm²) [tau2k] 541.987<br />

Utilization of shear stress (static) 0.494<br />

Utilization of shear stress (dynamic) 0.844<br />

Tolerances<br />

According to DIN 2095 quality standard<br />

1<br />

Permissible deviation from<br />

Coil diameter (mm) [AD] 0.300<br />

Lower spring force (N) [AF1] 11.700<br />

Higher spring force (N) [AF1] 13.100<br />

Spring length (mm) [AL0] 3.160<br />

Casing line (mm) [e1] 7.050<br />

Alignment (mm) [e2] 0.660<br />

2.5 Data for own inputs<br />

A special or not available spring will calculate by choosing „own input“ and the data for the spring<br />

will define oneself. Here it is also possible to determine the wire diameter and the effective coils<br />

with help of the spring rate (R = Ä fa / Ä s).<br />

Figure 2.5-1: Own input of spring geometry.<br />

Figure 2.5-2: Sizing of wire diameter.<br />

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