HELICAL SPRINGS | |
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FOLLOWING DIN EN 13906-1,2,3 | |

Order : | Dware |

Project : | HeliSpring |

Subproject : | Verification compression spring |

Project item : | Metallfedern |

Spring ID : | S.198 |

Calculated by : | André Dewispelaere |

Organization : | Dware |

Date : | 26/07/2021 |

Spring wire grade |
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Nr, Cl, Spring Wire Grade , E, G, rho, Rm1, Rco |

125, DM, EN 10270-1 DM , 206000, 81500, 7.85, 1980, 740 |

Calculated wire properties | Symbol | Unit | Value |
---|---|---|---|

Wire diameter | d | mm | 5.000 |

Minimum value tensile strength | R_{m} |
N/mm˛ | 1460 |

Modulus of rigidity | G | N/mm˛ | 81500 |

Modulus of Elasticity | E | N/mm˛ | 206000 |

Spring Specifications | Symbol | Unit | Value |
---|---|---|---|

Outside diameter of spring | D_{e} |
mm | 39.60 |

Nominal diameter of wire | d | mm | 5.000 |

Deviation of diameter of wire | A_{d} |
mm | 0.025 |

Number of active coils | n | -- | 9.50 |

Total number of coils | n_{t} |
-- | 11.50 |

Free spring length | L_{0} |
mm | 105.8 |

Influence factor spring seat | ν | -- | 0.5 |

End type A | ET_{A} |
-- | D squar+grnd |

Number of inactive coils | n_{naA} |
-- | 0.00 |

Type spring end B | ET_{B} |
-- | D squar+grnd |

Number of inactive coils | n_{naB} |
-- | 0.00 |

Hand of coiling | -- | -- | right |

Coiling | -- | -- | cold |

Shot peened | -- | -- | No |

Spring load | Symbol | Unit | Value |

Calculation on base of | -- | -- | forces |

Minor axial spring force | F_{1} |
N | 280.0 |

Major axial spring force | F_{2} |
N | 620.0 |

Expected service life | L_{h} |
h | 2000 |

Loading frequency | f_{F} |
Hz | 50.000 |

Operating temperature of spring | θ | °C | 20 |

Extern mass in mass-spring-system | m | kg | 0.500 |

Calculation of geometry | Symbol | Unit | Value |

Mean diameter of coil | D_{} |
mm | 34.60 |

Spring index | w | -- | 6.92 |

Inside diameter of spring | D_{i} |
mm | 29.60 |

Modulus of rigidity in f(th) | G(th) | N/mm˛ | 81500 |

Spring rate | R | N/mm | 16.181 |

Sum of minimal coil spaces | S_{a} |
mm | 12.3 |

Length of active coils free spring | L_{w} |
mm | 90.7 |

Coil pitch of free spring | m_{0} |
mm | 9.547 |

Coil space of free spring | a_{0} |
mm | 4.547 |

Calculation spring diagram | Symbol | Unit | Value |

Minor axial deflection | s_{1} |
mm | 17.3 |

Spring length at deflection s_1 | L_{1} |
mm | 88.5 |

Minor axial spring force | F_{1} |
N | 280.0 |

Major axial deflection | s_{2} |
mm | 38.3 |

Spring length at deflection s_2 | L_{2} |
mm | 67.5 |

Major axial spring force | F_{2} |
N | 620.0 |

Stroke | s_{h} |
mm | 21.0 |

Stroke force | F_{h} |
N | 340.0 |

Maximum permissble deflection | s_{n} |
mm | 35.7 |

Minimum permissible spring length | L_{n} |
mm | 70.1 |

Maximum permissible force | F_{n} |
N | 577.7 |

Deflection to solid | s_{c} |
mm | 48.0 |

Length compressed spring to solid | L_{c} |
mm | 57.8 |

Theoretical spring force to solid | F_{c} |
N | 776.7 |

Strength calculation | Symbol | Unit | Value |

Stress correction factor | k | -- | 1.203 |

Corrected minor torsional stress | τ_{k1} |
N/mm˛ | 238 |

Corrected major torsional stress | τ_{k2} |
N/mm˛ | 526 |

Permissible static torsion stress | τ_{P} |
N/mm˛ | 730 |

Safety factor static tors stress | S_{F} |
-- | 1.39 |

Tors stress at max permiss deflect | τ_{n} |
N/mm˛ | 407 |

Permissible static torsion stress | τ_{P} |
N/mm˛ | 730 |

Safety factor max permiss deflect | S_{Fn} |
-- | 1.79 |

Torsional stress at solid state | τ_{c} |
N/mm˛ | 548 |

Permissible tors stress solid stat | τ_{cP} |
N/mm˛ | 820 |

Safety factor tors stress solid st | S_{Fc} |
-- | 1.50 |

Number of loading cycles | N_{cy} |
Mcy | 360.000 |

Strength domain | -- | -- | endurance |

Permissible endurance stress | τ_{eN} |
N/mm˛ | 328 |

Permissible upper torsional stress | τ_{kO} |
N/mm˛ | 536 |

Safety factor on upper tors stress | S_{FO} |
-- | 1.02 |

Lower torsion stress | τ_{kU} |
N/mm˛ | 238 |

Corrected stroke stress | τ_{kh} |
N/mm˛ | 288 |

Permissible stroke torsion stress | τ_{kH} |
N/mm˛ | 299 |

Safety fact stroke torsion stress | S_{FH} |
-- | 1.04 |

Calculation of spring mass | Symbol | Unit | Value |

Length of developed spring wire | l_{w} |
mm | 1254 |

Mass of spring | m_{w} |
g | 193 |

Calculation of buckling diagram | Symbol | Unit | Value |

Influence factor spring seat | ν | -- | 0.5 |

Slenderness ratio | νL_{0}/D_{} |
-- | 1.529 |

Major deflection/length ratio | s_{2}/L_{0} |
-- | 0.362 |

Solid deflection/length ratio | s_{c}/L_{0} |
-- | 0.454 |

Deflection causing buckling | s_{K} |
mm | 0.0 |

Safety factor on buckling | S_{K} |
-- | 0.00 |

Is spring buckling safe | -- | -- | Yes |

Spring work | Symbol | Unit | Value |

Minor spring work | W_{1} |
J | 2.422 |

Major spring work | W_{2} |
J | 11.873 |

Work exchange | D_{W} |
J | 9.451 |

Power exchange | D_{P} |
W | 472.550 |

Calculation natural frequency | Symbol | Unit | Value |

Natural frequency spring coils | f_{e} |
Hz | 159 |

Condition f_e > 12 * f_F satisfied | -- | -- | No |

Mass in mass-spring system | m_{red} |
kg | 0.693 |

Resonance freq mass-spring system | f_{r} |
Hz | 26.9 |