spring rating

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    S P R I N G C A L C U L A T I O N S

    To Calculate Coil Spring Rate-

    RATE= (9909 x material dia. x material dia. x material dia. x material dia.)

    divided by

    (no. of active coils x mean dia. x mean dia. x mean dia.)

    Mean dia. = I.D. + material dia. All measurements are in millimetres Result is in N/mm To convert answer to Kg/mm = N/mm x 0.10192

    To Calculate Coil Spring Stress-

    STRESS= (2.545 x rate(N/mm) x required travel x mean dia. x Wahl factor)

    divided by

    (material dia. x material dia. x material dia.)

    Mean dia. = I.D. + material dia. C: (spring index) = mean dia. / material dia. Wahl factor = (C+0.2) / (C-1) All measurements are in millimetres Results is in N/mm / MPa Stress not to exceed 827 N/mm / MPa

    Please note these formulas are provided as a guide only. Industrial Engineers & Spring Makers (Sales)

    Pty. Ltd provides no guarantee to their accuracy.

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    Testing a spring

    For a constant rate spring, that is exactly how you test the rate.

    You must check the rate between 20 and 80 % of the total possible deflection range. Thedeflection range is the range from the free length to the solid length.

    Example:Free Height: 10 inchesSolid Height: 5 inchesDeflection range would be from 10-5 = 5 inches.Rate must therefore be checked at heights between 9 inches and 6 inches.

    Load at 8.5 inch height: 15 LbsLoad at 7.5 inch height: 25 Lbs

    Rate = Difference in Load / Difference in Length= (25 15) / (8.5 7.5)

    = 10 / 1= 10 Lbs / Inch

    Hope this explains it to you. Any further questions, just mail them to us.

    Kind Regard s,

    Daniel Shepard .Managing Director.W H Rooke & Co.

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    Techn i ca l I n fo rm a t i on

    Techn ica l I n fo r m a t ion

    The num ber o f co i l s

    The number of coils in tensionsprings varies with commercialproduction as follows:

    Number of Coils Tolerance

    3 to 5 20

    6 to 8 30

    9 to 12 40

    For each additional coil, add 1 per coil. Springs can be built to closer tolerances by trimming aftercoiling, with additional cost.

    Exam ple Load To lerances :

    The load tolerances for tension springs are listed in the above table. For example of how to use these,let us take a spring of the following dimensions: Free Length 4.050"; Mean Dia. .390"; Wire Dia. .048"to give a load of 3.5lb when extended .900".

    First we calculate the index orD

    d

    =.390"

    .048"

    = 8

    Secondly we calculate thath

    f

    =4.050"

    .900"

    = 4.5

    FindD

    d

    = 8 on the table, take the adjacenth

    f

    = 4.5.

    Where the line 4.5 intersects with the column of wire dia. of .048" we get a figure of 10.1%.

    This is the load tolerance of the above example.

    Convert 10.1% to 3.5 lb. which gives a tolerance of 5.6 oz. at .900" deflection.

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    A-DActive coils (na):Coils that are free to deflect under load.

    Angular relationship of ends:

    Relative position (in degrees) of the plane of the hooks or loops of extension springs to each other.

    Baking:

    Heating of electroplated springs to relieve hydrogen embrittlement.

    Closed ends:Ends of compression springs where the pitch of the end coils is reduced so that the end coils touch.

    Closed and ground ends:

    Same as closed ends except the end coils are ground to provide a flat surface.

    Close-wound:

    Coiled so that adjacent coils are touching.

    Deflection (F):Motion of spring ends or arms under external load (P).

    E-L

    Free angle:

    Angle between the arms of a torsion spring when no load is applied.

    Free length (L):

    Overall length of a spring when no load is applied.

    Helix:

    The spiral shape of compression, extension and torsion springs.

    Hooks:Open loops at the end of extension springs.

    Hydrogen embrittlement:

    Hydrogen absorbed in electroplating of carbon steels causing the spring material to become brittle, leading

    to cracking and spring failure.

    Initial tension (Pi):The force that causes the coils of extension springs to stay together and which must be overcome before the

    coils begin to open.

    Load (P):The force applied to a spring that causes deflection.

    Loops:

    Closed hooks at the end of extension springs.

    M-P

    Mean coil diameter (D):Outside diameter (O.D.) of a spring minus one wire diameter (d).

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    Open ends, not ground:

    End coils of a compression spring having the same pitch as the body of the spring.

    Open ends ground:

    Same as open ends except the end coils are ground to provide a flat surface.

    Passivating:The treatment of stainless steel springs with acid to remove contaminants and improve resistance to

    corrosion.

    Permanent set:

    A condition that comes from deflecting a spring beyond the elastic limits of the material; the spring does not

    return to its original condition when the load is released.

    Pitch (p):

    The distance between two adjacent active coils measured from the center of the wire of each coil.

    Preset:To remove permanent set prior to application installation.

    R-T

    Rate (R):

    Change in load per unit of deflection, usually in pounds per inch.

    Remove set:The process of deflecting to solid height a spring which has been coiled longer than the requested finished

    length, so as to increase the apparent elastic limit.

    Solid height:

    Length of a compression spring when it has been deflected enough to allow each adjacent coil to touch each

    other.

    Spring index:

    Ratio of the mean coil diameter (D) of a spring to its wire diameter (d).

    Squared and ground ends:See Closed and ground ends.

    Squared ends:See Closed ends.

    Stress relieve:

    The heat treating of springs at a temperature so as to relieve stresses.

    Torque (M):A twisting action in torsion springs equal to the load multiplied by the distance (or moment arm) from the

    load to the axis of the spring body.

    Total coils (Nt):The active coils (Na) plus the number of coils forming the ends.