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Shear stress in spring Formula

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Shear Stress in Spring is the frictional force that opposes the motion of a spring when it is subjected to a surge or sudden movement. Check FAQs

𝜏 = K s \cdot \frac{8 \cdot P \cdot C}{π \cdot d^{2}}

𝜏 - Shear Stress in Spring?K_s - Shear Stress Correction Factor of Spring?P - Axial Spring Force?C - Spring Index?d - Diameter of spring wire?π - Archimedes' constant?

Shear stress in spring Example

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Here is how the Shear stress in spring equation looks like with Values.

Here is how the Shear stress in spring equation looks like with Units.

Here is how the Shear stress in spring equation looks like.

213.7935 = 1.08 \cdot \frac{8 \cdot 138.2 \cdot 9}{3.1416 \cdot 4^{2}}

213.7935N/mm² = 1.08 \cdot \frac{8 \cdot 138.2N \cdot 9}{3.1416 \cdot {4mm}^{2}}

213.7935 = 1.08 \cdot \frac{8 \cdot 138.2 \cdot 9}{3.1416 \cdot 4^{2}}

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Shear stress in spring Solution

Follow our step by step solution on how to calculate Shear stress in spring?

FIRST Step Consider the formula

𝜏 = K s \cdot \frac{8 \cdot P \cdot C}{π \cdot d^{2}}

Next Step Substitute values of Variables

∴

𝜏 = 1.08 \cdot \frac{8 \cdot 138.2N \cdot 9}{π \cdot {4mm}^{2}}

Next Step Substitute values of Constants

∴

𝜏 = 1.08 \cdot \frac{8 \cdot 138.2N \cdot 9}{3.1416 \cdot {4mm}^{2}}

Next Step Convert Units

∴

𝜏 = 1.08 \cdot \frac{8 \cdot 138.2N \cdot 9}{3.1416 \cdot {0.004m}^{2}}

Next Step Prepare to Evaluate

∴

𝜏 = 1.08 \cdot \frac{8 \cdot 138.2 \cdot 9}{3.1416 \cdot {0.004}^{2}}

Next Step Evaluate

∴

𝜏 = 213793471.675115Pa

Next Step Convert to Output's Unit

∴

𝜏 = 213.793471675115N/mm²

LAST Step Rounding Answer

∴

𝜏 = 213.7935N/mm²

Shear stress in spring Formula Elements

Variables

Constants

Shear Stress in Spring

Shear Stress in Spring is the frictional force that opposes the motion of a spring when it is subjected to a surge or sudden movement.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Spring

Shear Stress Correction Factor of Spring

Shear Stress Correction Factor of Spring is a factor used to correct the shear stress in springs due to surge, ensuring accurate calculations and reliable results.

Symbol: K_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shear Stress Correction Factor of Spring

Axial Spring Force

Axial Spring Force is the force exerted by a spring when it is subjected to axial compression or tension, typically in surge springs.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Spring Force

Spring Index

Spring Index is a measure of the surge spring's ability to store energy and release it in a controlled manner during compression and decompression.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Spring Index

Diameter of spring wire

Diameter of spring wire is the distance across the spring wire, which affects the spring's stiffness and its ability to store energy.

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 Surge in Springs category

Go Solid Length of Spring

L = N t \cdot d

Go Axial Spring Force given Stiffness of Spring

P = k \cdot δ

Go Axial Deflection of Spring due to Axial load given Stiffness of Spring

δ = \frac{P}{k}

Go Angular Frequency of Spring

ω = (\frac{1}{2}) \cdot \sqrt{\frac{k}{m}}

How to Evaluate Shear stress in spring?

Shear stress in spring evaluator uses Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2) to evaluate the Shear Stress in Spring, Shear stress in spring formula is defined as a measure of the internal frictional force that occurs within a helical spring when it is subjected to an external load, resulting in deformation and stress distribution throughout the spring's material. Shear Stress in Spring is denoted by 𝜏 symbol.

How to evaluate Shear stress in spring using this online evaluator? To use this online evaluator for Shear stress in spring, enter Shear Stress Correction Factor of Spring (K_s), Axial Spring Force (P), Spring Index (C) & Diameter of spring wire (d) and hit the calculate button.

FAQs on Shear stress in spring

What is the formula to find Shear stress in spring?

The formula of Shear stress in spring is expressed as Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2). Here is an example- 0.000214 = 1.08*(8*138.2*9)/(pi*0.004^2).

How to calculate Shear stress in spring?

With Shear Stress Correction Factor of Spring (K_s), Axial Spring Force (P), Spring Index (C) & Diameter of spring wire (d) we can find Shear stress in spring using the formula - Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2). This formula also uses Archimedes' constant .

Can the Shear stress in spring be negative?

No, the Shear stress in spring, measured in Stress cannot be negative.

Which unit is used to measure Shear stress in spring?

Shear stress in 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 Shear stress in spring can be measured.

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Shear stress in spring Formula

Shear stress in spring Example

Shear stress in spring Solution

Shear stress in spring Formula Elements

Other formulas in Surge in Springs category

How to Evaluate Shear stress in spring?

FAQs on Shear stress in spring

Variable Name