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Force acting on Spring given Resultant Stress Formula

GoForce Applied on Spring given Deflection in Spring Formula

GoForce Applied on Spring given Strain Energy Stored in Spring Formula

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Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction. Check FAQs

P = 𝜏 \cdot \frac{π \cdot d^{3}}{K \cdot 8 \cdot D}

P - Axial Spring Force?𝜏 - Shear Stress in Spring?d - Diameter of Spring Wire?K - Wahl Factor of Spring?D - Mean Coil Diameter of Spring?π - Archimedes' constant?

Force acting on Spring given Resultant Stress Example

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Here is how the Force acting on Spring given Resultant Stress equation looks like with Values.

Here is how the Force acting on Spring given Resultant Stress equation looks like with Units.

Here is how the Force acting on Spring given Resultant Stress equation looks like.

138.1844 = 230 \cdot \frac{3.1416 \cdot 4^{3}}{1.162 \cdot 8 \cdot 36}

138.1844N = 230N/mm² \cdot \frac{3.1416 \cdot {4mm}^{3}}{1.162 \cdot 8 \cdot 36mm}

138.1844 = 230 \cdot \frac{3.1416 \cdot 4^{3}}{1.162 \cdot 8 \cdot 36}

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Force acting on Spring given Resultant Stress Solution

Follow our step by step solution on how to calculate Force acting on Spring given Resultant Stress?

FIRST Step Consider the formula

P = 𝜏 \cdot \frac{π \cdot d^{3}}{K \cdot 8 \cdot D}

Next Step Substitute values of Variables

∴

P = 230N/mm² \cdot \frac{π \cdot {4mm}^{3}}{1.162 \cdot 8 \cdot 36mm}

Next Step Substitute values of Constants

∴

P = 230N/mm² \cdot \frac{3.1416 \cdot {4mm}^{3}}{1.162 \cdot 8 \cdot 36mm}

Next Step Convert Units

∴

P = 2.3E+8Pa \cdot \frac{3.1416 \cdot {0.004m}^{3}}{1.162 \cdot 8 \cdot 0.036m}

Next Step Prepare to Evaluate

∴

P = 2.3E+8 \cdot \frac{3.1416 \cdot {0.004}^{3}}{1.162 \cdot 8 \cdot 0.036}

Next Step Evaluate

∴

P = 138.184415820549N

LAST Step Rounding Answer

∴

P = 138.1844N

Force acting on Spring given Resultant Stress Formula Elements

Variables

Constants

Axial Spring Force

Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Spring Force

Shear Stress in Spring

Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Spring

Diameter of Spring Wire

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

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Wahl Factor of Spring

Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wahl Factor of Spring

Mean Coil Diameter of Spring

The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Coil Diameter of Spring

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Axial Spring Force

Go Force Applied on Spring given Deflection in Spring

P = δ \cdot G \cdot \frac{d^{4}}{8 \cdot (D^{3}) \cdot N a}

Go Force Applied on Spring given Strain Energy Stored in Spring

P = 2 \cdot \frac{U h}{δ}

Other formulas in Stress and Deflections in Springs category

Go Resultant Stress in Spring

𝜏 = K \cdot \frac{8 \cdot P \cdot D}{π \cdot d^{3}}

Go Mean Coil Diameter given Resultant Stress in Spring

D = 𝜏 \cdot \frac{π \cdot d^{3}}{K \cdot 8 \cdot P}

Go Diameter of Spring Wire given Resultant Stress in Spring

d = {(\frac{K \cdot 8 \cdot P \cdot D}{π \cdot 𝜏})}^{\frac{1}{3}}

Go Shear Stress Correction Factor

K s = (1 + (\frac{.5}{C}))

How to Evaluate Force acting on Spring given Resultant Stress?

Force acting on Spring given Resultant Stress evaluator uses Axial Spring Force = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring) to evaluate the Axial Spring Force, Force acting on Spring given Resultant Stress formula is defined as the measure of the force exerted on a spring when it is subjected to a resultant stress, providing a way to calculate the force based on the spring's dimensions and material properties, which is crucial in designing and analyzing spring-based systems. Axial Spring Force is denoted by P symbol.

How to evaluate Force acting on Spring given Resultant Stress using this online evaluator? To use this online evaluator for Force acting on Spring given Resultant Stress, enter Shear Stress in Spring (𝜏), Diameter of Spring Wire (d), Wahl Factor of Spring (K) & Mean Coil Diameter of Spring (D) and hit the calculate button.

FAQs on Force acting on Spring given Resultant Stress

What is the formula to find Force acting on Spring given Resultant Stress?

The formula of Force acting on Spring given Resultant Stress is expressed as Axial Spring Force = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring). Here is an example- 138.1844 = 230000000*(pi*0.004^3)/(1.162*8*0.036).

How to calculate Force acting on Spring given Resultant Stress?

With Shear Stress in Spring (𝜏), Diameter of Spring Wire (d), Wahl Factor of Spring (K) & Mean Coil Diameter of Spring (D) we can find Force acting on Spring given Resultant Stress using the formula - Axial Spring Force = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring). This formula also uses Archimedes' constant .

What are the other ways to Calculate Axial Spring Force?

Here are the different ways to Calculate Axial Spring Force-

Axial Spring Force=Deflection of Spring*Modulus of Rigidity of Spring Wire*Diameter of Spring Wire^4/(8*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)
Axial Spring Force=2*Strain Energy in Spring/Deflection of Spring

Can the Force acting on Spring given Resultant Stress be negative?

No, the Force acting on Spring given Resultant Stress, measured in Force cannot be negative.

Which unit is used to measure Force acting on Spring given Resultant Stress?

Force acting on Spring given Resultant Stress is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force acting on Spring given Resultant Stress can be measured.

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: Value
: Unit

Force acting on Spring given Resultant Stress Formula

​GoForce Applied on Spring given Deflection in Spring Formula

​GoForce Applied on Spring given Strain Energy Stored in Spring Formula

Force acting on Spring given Resultant Stress Example

Force acting on Spring given Resultant Stress Solution

Force acting on Spring given Resultant Stress Formula Elements

Other Formulas to find Axial Spring Force

Other formulas in Stress and Deflections in Springs category

How to Evaluate Force acting on Spring given Resultant Stress?

FAQs on Force acting on Spring given Resultant Stress

Variable Name

GoForce Applied on Spring given Deflection in Spring Formula

GoForce Applied on Spring given Strain Energy Stored in Spring Formula