Load given Deflection of Square Section Wire Spring Calculator

✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%
✖Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.ⓘ Modulus of Rigidity [G_Torsion]			+10% -10%
✖Diameter of Spring wire is the diameter of the wire of which a spring is made.ⓘ Diameter of Spring [d]			+10% -10%
✖The Mean Radius spring coil is the mean radius of the coils of the spring.ⓘ Mean Radius [R]			+10% -10%
✖Number of Coils in spring is the total number of turns made by wire along its length.ⓘ Number of Coils [N]			+10% -10%

✖Spring Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Load given Deflection of Square Section Wire Spring [W_load]

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Formula

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Load given Deflection of Square Section Wire Spring

Formula

`"W"_{"load"} = ("δ"*"G"_{"Torsion"}*"d"^4)/(44.7*"R"^3*"N")`

Example

`"121.7002N"=("3.4mm"*"40GPa"*("45mm")^4)/(44.7*("225mm")^3*"9")`

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Load given Deflection of Square Section Wire Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils)
W_load = (δ*G_Torsion*d^4)/(44.7*R^3*N)
This formula uses 6 Variables

Variables Used

Spring Load - (Measured in Newton) - Spring Load is the instantaneous load applied perpendicular to the specimen cross section.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
Modulus of Rigidity - (Measured in Pascal) - Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.
Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire of which a spring is made.
Mean Radius - (Measured in Meter) - The Mean Radius spring coil is the mean radius of the coils of the spring.
Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.

STEP 1: Convert Input(s) to Base Unit

Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion here)
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion here)
Number of Coils: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_load = (δ*G_Torsion*d^4)/(44.7*R^3*N) --> (0.0034*40000000000*0.045^4)/(44.7*0.225^3*9)

Evaluating ... ...

W_load = 121.700223713646

STEP 3: Convert Result to Output's Unit

121.700223713646 Newton --> No Conversion Required

FINAL ANSWER

121.700223713646 ≈ 121.7002 Newton <-- Spring Load

(Calculation completed in 00.004 seconds)

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< 6 Spring of Square Section Wire Calculators

Mean radius given Deflection of Square Section Wire Spring

Go Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Spring Load*Number of Coils))^(1/3)

Width given Deflection of Square Section Wire Spring

Go Diameter of Spring = ((44.7*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Modulus of Rigidity))^(1/4)

Modulus of Rigidity using Deflection of Square Section Wire Spring

Go Modulus of Rigidity = (44.7*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4)

Number of Coils given Deflection of Square Section Wire Spring

Go Number of Coils = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Spring Load)

Load given Deflection of Square Section Wire Spring

Go Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils)

Deflection of Square Section Wire Spring

Go Deflection of Spring = (44.7*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Diameter of Spring^4)

Load given Deflection of Square Section Wire Spring Formula

Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils)
W_load = (δ*G_Torsion*d^4)/(44.7*R^3*N)

What is Spring?

A Spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs. A spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs.

How to Calculate Load given Deflection of Square Section Wire Spring?

Load given Deflection of Square Section Wire Spring calculator uses Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils) to calculate the Spring Load, The Load given Deflection of Square Section Wire Spring formula is defined as the load applied to get the given deflection. Spring Load is denoted by W_load symbol.

How to calculate Load given Deflection of Square Section Wire Spring using this online calculator? To use this online calculator for Load given Deflection of Square Section Wire Spring, enter Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Number of Coils (N) and hit the calculate button. Here is how the Load given Deflection of Square Section Wire Spring calculation can be explained with given input values -> 121.7002 = (0.0034*40000000000*0.045^4)/(44.7*0.225^3*9).

FAQ

What is Load given Deflection of Square Section Wire Spring?

The Load given Deflection of Square Section Wire Spring formula is defined as the load applied to get the given deflection and is represented as W_load = (δ*G_Torsion*d^4)/(44.7*R^3*N) or Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils). Deflection of Spring is how a spring responds when force is applied or released, Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G, Diameter of Spring wire is the diameter of the wire of which a spring is made, The Mean Radius spring coil is the mean radius of the coils of the spring & Number of Coils in spring is the total number of turns made by wire along its length.

How to calculate Load given Deflection of Square Section Wire Spring?

The Load given Deflection of Square Section Wire Spring formula is defined as the load applied to get the given deflection is calculated using Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils). To calculate Load given Deflection of Square Section Wire Spring, you need Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Number of Coils (N). With our tool, you need to enter the respective value for Deflection of Spring, Modulus of Rigidity, Diameter of Spring, Mean Radius & Number of Coils and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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