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Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring Formula

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Spring Load is the instantaneous load applied perpendicular to the specimen cross section. Check FAQs

W load = \frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot N \cdot R^{3}}

W_load - Spring Load?δ - Deflection of Spring?G_Torsion - Modulus of Rigidity?d - Diameter of Spring?N - Number of Coils?R - Mean Radius?

Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring Example

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Here is how the Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring equation looks like with Values.

Here is how the Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring equation looks like with Units.

Here is how the Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring equation looks like.

85 = \frac{3.4 \cdot 40 \cdot 45^{4}}{64 \cdot 9 \cdot 225^{3}}

85N = \frac{3.4mm \cdot 40GPa \cdot {45mm}^{4}}{64 \cdot 9 \cdot {225mm}^{3}}

85 = \frac{3.4 \cdot 40 \cdot 45^{4}}{64 \cdot 9 \cdot 225^{3}}

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Strength of Materials » fx Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring

Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring Solution

Follow our step by step solution on how to calculate Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring?

FIRST Step Consider the formula

W load = \frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot N \cdot R^{3}}

Next Step Substitute values of Variables

∴

W load = \frac{3.4mm \cdot 40GPa \cdot {45mm}^{4}}{64 \cdot 9 \cdot {225mm}^{3}}

Next Step Convert Units

∴

W load = \frac{0.0034m \cdot 4E+10Pa \cdot {0.045m}^{4}}{64 \cdot 9 \cdot {0.225m}^{3}}

Next Step Prepare to Evaluate

∴

W load = \frac{0.0034 \cdot 4E+10 \cdot {0.045}^{4}}{64 \cdot 9 \cdot {0.225}^{3}}

LAST Step Evaluate

∴

W load = 85N

Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring Formula Elements

Variables

Spring Load

Spring Load is the instantaneous load applied perpendicular to the specimen cross section.

Symbol: W_load

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Spring Load

Open Variable

Deflection of Spring

Deflection of Spring is how a spring responds when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spring

Open Variable

Modulus of Rigidity

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.

Symbol: G_Torsion

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Open Variable

Diameter of Spring

Diameter of Spring wire is the diameter of the wire from which a spring is made.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring

Open Variable

Number of Coils

Number of Coils in spring is the total number of turns made by wire along its length.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Coils

Open Variable

Mean Radius

The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius

Open Variable

Other formulas in Close Coiled Helical Spring category

Go Deflection for Close-Coiled Helical Spring

δ = \frac{64 \cdot W load \cdot R^{3} \cdot N}{G Torsion \cdot d^{4}}

Go Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring

d = {(\frac{64 \cdot W load \cdot R^{3} \cdot N}{G Torsion \cdot δ})}^{\frac{1}{4}}

Go Mean Radius of Spring given Deflection for Close-Coiled Helical Spring

R = {(\frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot W load \cdot N})}^{\frac{1}{3}}

Go Number of Spring Coils given Deflection for Close-Coiled Helical Spring

N = \frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot W load \cdot R^{3}}

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How to Evaluate Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring?

Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring evaluator uses Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Number of Coils*Mean Radius^3) to evaluate the Spring Load, The Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring formula is defined as the load applied to get given deflection. Spring Load is denoted by W_load symbol.

How to evaluate Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring using this online evaluator? To use this online evaluator for Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring, enter Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Number of Coils (N) & Mean Radius (R) and hit the calculate button.

FAQs on Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring

What is the formula to find Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring?

The formula of Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring is expressed as Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Number of Coils*Mean Radius^3). Here is an example- 59.35125 = (0.0034*40000000000*0.045^4)/(64*9*0.225^3).

How to calculate Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring?

With Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Number of Coils (N) & Mean Radius (R) we can find Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring using the formula - Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Number of Coils*Mean Radius^3).

Can the Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring be negative?

Yes, the Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring, measured in Force can be negative.

Which unit is used to measure Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring?

Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring can be measured.

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