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Mean Force on Spring given Mean Stress Formula

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Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring. Check FAQs

P m = σ m \cdot \frac{π \cdot d^{3}}{8 \cdot K s \cdot D}

P_m - Mean Spring Force?σ_m - Mean Shear Stress in Spring?d - Diameter of Spring Wire?K_s - Shear Stress Correction Factor of Spring?D - Mean Coil Diameter of Spring?π - Archimedes' constant?

Mean Force on Spring given Mean Stress Example

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

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

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

101.2 = 156 \cdot \frac{3.1416 \cdot {4.0047}^{3}}{8 \cdot 1.08 \cdot 36}

101.2N = 156N/mm² \cdot \frac{3.1416 \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 36mm}

101.2 = 156 \cdot \frac{3.1416 \cdot {4.0047}^{3}}{8 \cdot 1.08 \cdot 36}

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Mean Force on Spring given Mean Stress Solution

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

FIRST Step Consider the formula

P m = σ m \cdot \frac{π \cdot d^{3}}{8 \cdot K s \cdot D}

Next Step Substitute values of Variables

∴

P m = 156N/mm² \cdot \frac{π \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 36mm}

Next Step Substitute values of Constants

∴

P m = 156N/mm² \cdot \frac{3.1416 \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 36mm}

Next Step Convert Units

∴

P m = 1.6E+8Pa \cdot \frac{3.1416 \cdot {0.004m}^{3}}{8 \cdot 1.08 \cdot 0.036m}

Next Step Prepare to Evaluate

∴

P m = 1.6E+8 \cdot \frac{3.1416 \cdot {0.004}^{3}}{8 \cdot 1.08 \cdot 0.036}

Next Step Evaluate

∴

P m = 101.200009657842N

LAST Step Rounding Answer

∴

P m = 101.2N

Mean Force on Spring given Mean Stress Formula Elements

Variables

Constants

Mean Spring Force

Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring.

Symbol: P_m

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Mean Spring Force

Mean Shear Stress in Spring

Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress.

Symbol: σ_m

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Mean 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

Shear Stress Correction Factor of Spring

Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.

Symbol: K_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shear Stress Correction Factor of Spring

Mean Coil Diameter of Spring

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 Mean Spring Force

Go Mean Force on spring

P m = \frac{P min + P max}{2}

Other formulas in Design Against Fluctuating Load category

Go Maximum Force on Spring given Mean Force

P max = 2 \cdot P m - P min

Go Minimum Force on Spring given Mean Force

P min = 2 \cdot P m - P max

Go Force Amplitude of Spring

P a = .5 \cdot (P max - P min)

Go Maximum Force on Spring given Force Amplitude

P max = 2 \cdot P a + P min

How to Evaluate Mean Force on Spring given Mean Stress?

Mean Force on Spring given Mean Stress evaluator uses Mean Spring Force = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring) to evaluate the Mean Spring Force, Mean Force on Spring given Mean Stress formula is defined as a measure of the average force exerted on a spring under fluctuating load conditions, providing a critical design parameter to ensure the structural integrity of the spring against repeated loading and unloading cycles. Mean Spring Force is denoted by P_m symbol.

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

FAQs on Mean Force on Spring given Mean Stress

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

The formula of Mean Force on Spring given Mean Stress is expressed as Mean Spring Force = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring). Here is an example- 100.8412 = 156000000*(pi*0.004004738^3)/(8*1.08*0.036).

How to calculate Mean Force on Spring given Mean Stress?

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

What are the other ways to Calculate Mean Spring Force?

Here are the different ways to Calculate Mean Spring Force-

Mean Spring Force=(Minimum Force of Spring+Maximum Force of Spring)/2

Can the Mean Force on Spring given Mean Stress be negative?

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

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

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

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Mean Force on Spring given Mean Stress Formula

​GoMean Force on spring Formula

Mean Force on Spring given Mean Stress Example

Mean Force on Spring given Mean Stress Solution

Mean Force on Spring given Mean Stress Formula Elements

Other Formulas to find Mean Spring Force

Other formulas in Design Against Fluctuating Load category

How to Evaluate Mean Force on Spring given Mean Stress?

FAQs on Mean Force on Spring given Mean Stress

Variable Name

GoMean Force on spring Formula