FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Resultant Stress in Spring Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Resultant Stress in Spring Example

With values

With units

Only example

Here is how the Resultant Stress in Spring equation looks like with Values.

Here is how the Resultant Stress in Spring equation looks like with Units.

Here is how the Resultant Stress in Spring equation looks like.

230.0259 = 1.162 \cdot \frac{8 \cdot 138.2 \cdot 36}{3.1416 \cdot 4^{3}}

230.0259N/mm² = 1.162 \cdot \frac{8 \cdot 138.2N \cdot 36mm}{3.1416 \cdot {4mm}^{3}}

230.0259 = 1.162 \cdot \frac{8 \cdot 138.2 \cdot 36}{3.1416 \cdot 4^{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Resultant Stress in Spring

Resultant Stress in Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝜏 = 1.162 \cdot \frac{8 \cdot 138.2N \cdot 36mm}{π \cdot {4mm}^{3}}

Next Step Substitute values of Constants

∴

𝜏 = 1.162 \cdot \frac{8 \cdot 138.2N \cdot 36mm}{3.1416 \cdot {4mm}^{3}}

Next Step Convert Units

∴

𝜏 = 1.162 \cdot \frac{8 \cdot 138.2N \cdot 0.036m}{3.1416 \cdot {0.004m}^{3}}

Next Step Prepare to Evaluate

∴

𝜏 = 1.162 \cdot \frac{8 \cdot 138.2 \cdot 0.036}{3.1416 \cdot {0.004}^{3}}

Next Step Evaluate

∴

𝜏 = 230025938.968967Pa

Next Step Convert to Output's Unit

∴

𝜏 = 230.025938968967N/mm²

LAST Step Rounding Answer

∴

𝜏 = 230.0259N/mm²

Resultant Stress in Spring Formula Elements

Variables

Constants

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

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

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

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

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 Stress and Deflections in Springs category

Go Force acting on Spring given Resultant Stress

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

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 Resultant Stress in Spring?

Resultant Stress in Spring evaluator uses Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of Spring Wire^3) to evaluate the Shear Stress in Spring, Resultant Stress in Spring formula is defined as a measure of the internal forces that cause deformation in a spring, which is critical in determining the spring's ability to withstand external loads without failing or deforming excessively. Shear Stress in Spring is denoted by 𝜏 symbol.

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

FAQs on Resultant Stress in Spring

What is the formula to find Resultant Stress in Spring?

The formula of Resultant Stress in Spring is expressed as Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of Spring Wire^3). Here is an example- 0.00023 = 1.162*(8*138.2*0.036)/(pi*0.004^3).

How to calculate Resultant Stress in Spring?

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

Can the Resultant Stress in Spring be negative?

No, the Resultant Stress in Spring, measured in Stress cannot be negative.

Which unit is used to measure Resultant Stress in Spring?

Resultant 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 Resultant Stress in Spring can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Resultant Stress in Spring Formula

Resultant Stress in Spring Example

Resultant Stress in Spring Solution

Resultant Stress in Spring Formula Elements

Other formulas in Stress and Deflections in Springs category

How to Evaluate Resultant Stress in Spring?

FAQs on Resultant Stress in Spring

Variable Name