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Mean Stress on Spring Formula

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

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

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

Mean Stress on Spring Example

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

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

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

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

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

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

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Mean Stress on Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ m = 8 \cdot 1.08 \cdot 101.2N \cdot \frac{36mm}{π \cdot {4.0047mm}^{3}}

Next Step Substitute values of Constants

∴

σ m = 8 \cdot 1.08 \cdot 101.2N \cdot \frac{36mm}{3.1416 \cdot {4.0047mm}^{3}}

Next Step Convert Units

∴

σ m = 8 \cdot 1.08 \cdot 101.2N \cdot \frac{0.036m}{3.1416 \cdot {0.004m}^{3}}

Next Step Prepare to Evaluate

∴

σ m = 8 \cdot 1.08 \cdot 101.2 \cdot \frac{0.036}{3.1416 \cdot {0.004}^{3}}

Next Step Evaluate

∴

σ m = 155999985.112418Pa

Next Step Convert to Output's Unit

∴

σ m = 155.999985112418N/mm²

LAST Step Rounding Answer

∴

σ m = 156N/mm²

Mean Stress on Spring Formula Elements

Variables

Constants

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

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 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 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

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

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 in Design Against Fluctuating Load category

Go Mean Force on spring

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

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)

How to Evaluate Mean Stress on Spring?

Mean Stress on Spring evaluator uses Mean Shear Stress in Spring = 8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Diameter of Spring Wire^3) to evaluate the Mean Shear Stress in Spring, Mean Stress on Spring formula is defined as a measure of the average stress experienced by a spring under fluctuating loads, providing a critical design parameter to ensure the spring's reliability and performance in various engineering applications. Mean Shear Stress in Spring is denoted by σ_m symbol.

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

FAQs on Mean Stress on Spring

What is the formula to find Mean Stress on Spring?

The formula of Mean Stress on Spring is expressed as Mean Shear Stress in Spring = 8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Diameter of Spring Wire^3). Here is an example- 0.000157 = 8*1.08*101.2*0.036/(pi*0.004004738^3).

How to calculate Mean Stress on Spring?

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

Can the Mean Stress on Spring be negative?

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

Which unit is used to measure Mean Stress on Spring?

Mean Stress on Spring is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Mean Stress on Spring can be measured.

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Mean Stress on Spring Formula

Mean Stress on Spring Example

Mean Stress on Spring Solution

Mean Stress on Spring Formula Elements

Other formulas in Design Against Fluctuating Load category

How to Evaluate Mean Stress on Spring?

FAQs on Mean Stress on Spring

Variable Name