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Shear Stress Correction Factor for Spring given Mean Stress Formula

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

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

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

Shear Stress Correction Factor for Spring given Mean Stress Example

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Here is how the Shear Stress Correction Factor for Spring given Mean Stress equation looks like with Values.

Here is how the Shear Stress Correction Factor for Spring given Mean Stress equation looks like with Units.

Here is how the Shear Stress Correction Factor for Spring given Mean Stress equation looks like.

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

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

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

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Shear Stress Correction Factor for Spring given Mean Stress Solution

Follow our step by step solution on how to calculate Shear Stress Correction Factor for Spring given Mean Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K s = 156N/mm² \cdot \frac{π \cdot {4.0047mm}^{3}}{8 \cdot 101.2N \cdot 36mm}

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

K s = 1.6E+8Pa \cdot \frac{3.1416 \cdot {0.004m}^{3}}{8 \cdot 101.2N \cdot 0.036m}

Next Step Prepare to Evaluate

∴

K s = 1.6E+8 \cdot \frac{3.1416 \cdot {0.004}^{3}}{8 \cdot 101.2 \cdot 0.036}

Next Step Evaluate

∴

K s = 1.08000010306788

LAST Step Rounding Answer

∴

K s = 1.08

Shear Stress Correction Factor for Spring given Mean Stress Formula Elements

Variables

Constants

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 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

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

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 Shear Stress Correction Factor for Spring given Mean Stress?

Shear Stress Correction Factor for Spring given Mean Stress evaluator uses Shear Stress Correction Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(8*Mean Spring Force*Mean Coil Diameter of Spring) to evaluate the Shear Stress Correction Factor of Spring, Shear Stress Correction Factor for Spring given Mean Stress formula is defined as a dimensionless quantity used in mechanical design to correct for the effect of mean stress on the fatigue life of a spring under fluctuating loads, providing a more accurate prediction of spring failure. Shear Stress Correction Factor of Spring is denoted by K_s symbol.

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

FAQs on Shear Stress Correction Factor for Spring given Mean Stress

What is the formula to find Shear Stress Correction Factor for Spring given Mean Stress?

The formula of Shear Stress Correction Factor for Spring given Mean Stress is expressed as Shear Stress Correction Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(8*Mean Spring Force*Mean Coil Diameter of Spring). Here is an example- 1.076171 = 156000000*(pi*0.004004738^3)/(8*101.2*0.036).

How to calculate Shear Stress Correction Factor for Spring given Mean Stress?

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

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Shear Stress Correction Factor for Spring given Mean Stress Formula

Shear Stress Correction Factor for Spring given Mean Stress Example

Shear Stress Correction Factor for Spring given Mean Stress Solution

Shear Stress Correction Factor for Spring given Mean Stress Formula Elements

Other formulas in Design Against Fluctuating Load category

How to Evaluate Shear Stress Correction Factor for Spring given Mean Stress?

FAQs on Shear Stress Correction Factor for Spring given Mean Stress

Variable Name