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Torsional Shear Stress in Wire of Engine Valve Spring Formula

GoTorsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring Formula

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Shear Stress in Valve Spring is the stress induced into the spring due to its compression and expansion. Check FAQs

f s = (\frac{8 \cdot K \cdot (P i + k \cdot h max \cdot C)}{π \cdot {d w}^{2}})

f_s - Shear Stress in Valve Spring?K - Wahl Factor of Valve Spring?P_i - Initial Spring Force on Valve?k - Stiffness of Valve Spring?h_max - Lift of Valve?C - Spring Index for Valve Spring?d_w - Wire Diameter of Valve Spring?π - Archimedes' constant?

Torsional Shear Stress in Wire of Engine Valve Spring Example

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Here is how the Torsional Shear Stress in Wire of Engine Valve Spring equation looks like with Values.

Here is how the Torsional Shear Stress in Wire of Engine Valve Spring equation looks like with Units.

Here is how the Torsional Shear Stress in Wire of Engine Valve Spring equation looks like.

92.1278 = (\frac{8 \cdot 1.2 \cdot (120 + 9 \cdot 11 \cdot 8)}{3.1416 \cdot {5.5}^{2}})

92.1278N/mm² = (\frac{8 \cdot 1.2 \cdot (120N + 9N/mm \cdot 11mm \cdot 8)}{3.1416 \cdot {5.5mm}^{2}})

92.1278 = (\frac{8 \cdot 1.2 \cdot (120 + 9 \cdot 11 \cdot 8)}{3.1416 \cdot {5.5}^{2}})

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Torsional Shear Stress in Wire of Engine Valve Spring Solution

Follow our step by step solution on how to calculate Torsional Shear Stress in Wire of Engine Valve Spring?

FIRST Step Consider the formula

f s = (\frac{8 \cdot K \cdot (P i + k \cdot h max \cdot C)}{π \cdot {d w}^{2}})

Next Step Substitute values of Variables

∴

f s = (\frac{8 \cdot 1.2 \cdot (120N + 9N/mm \cdot 11mm \cdot 8)}{π \cdot {5.5mm}^{2}})

Next Step Substitute values of Constants

∴

f s = (\frac{8 \cdot 1.2 \cdot (120N + 9N/mm \cdot 11mm \cdot 8)}{3.1416 \cdot {5.5mm}^{2}})

Next Step Convert Units

∴

f s = (\frac{8 \cdot 1.2 \cdot (120N + 9000N/m \cdot 0.011m \cdot 8)}{3.1416 \cdot {0.0055m}^{2}})

Next Step Prepare to Evaluate

∴

f s = (\frac{8 \cdot 1.2 \cdot (120 + 9000 \cdot 0.011 \cdot 8)}{3.1416 \cdot {0.0055}^{2}})

Next Step Evaluate

∴

f s = 92127825.3063248Pa

Next Step Convert to Output's Unit

∴

f s = 92.1278253063248N/mm²

LAST Step Rounding Answer

∴

f s = 92.1278N/mm²

Torsional Shear Stress in Wire of Engine Valve Spring Formula Elements

Variables

Constants

Shear Stress in Valve Spring

Shear Stress in Valve Spring is the stress induced into the spring due to its compression and expansion.

Symbol: f_s

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Valve Spring

Wahl Factor of Valve Spring

Wahl Factor of Valve Spring is a stress factor used in order to take into account the effect of direct shear and change in coil curvature.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wahl Factor of Valve Spring

Initial Spring Force on Valve

Initial Spring Force on Valve is the preset amount of force exerted by the spring onto the body and contributed to the total force exerted by the spring.

Symbol: P_i

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Initial Spring Force on Valve

Stiffness of Valve Spring

Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness.

Symbol: k

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Valve Spring

Lift of Valve

Lift of Valve is the height to which the valve is lifted during operation for the flow of gases.

Symbol: h_max

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Lift of Valve

Spring Index for Valve Spring

Spring Index for Valve Spring is the ratio of the mean coil diameter of the spring to the diameter of the spring Wire.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Spring Index for Valve Spring

Wire Diameter of Valve Spring

Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.

Symbol: d_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wire Diameter of Valve 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 Shear Stress in Valve Spring

Go Torsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring

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

Other formulas in Valve Spring category

Go Diameter of Wire of Engine Valve Spring given Mean Coil Diameter

d w = \frac{D}{8}

Go Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire

d w = \sqrt{\frac{8 \cdot K \cdot P \cdot C}{π \cdot f s}}

How to Evaluate Torsional Shear Stress in Wire of Engine Valve Spring?

Torsional Shear Stress in Wire of Engine Valve Spring evaluator uses Shear Stress in Valve Spring = ((8*Wahl Factor of Valve Spring*(Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve*Spring Index for Valve Spring))/(pi*Wire Diameter of Valve Spring^2)) to evaluate the Shear Stress in Valve Spring, The Torsional shear stress in wire of engine valve spring is the shear stress produced in the spring wire due to the torsional moment onto the spring wire. Shear Stress in Valve Spring is denoted by f_s symbol.

How to evaluate Torsional Shear Stress in Wire of Engine Valve Spring using this online evaluator? To use this online evaluator for Torsional Shear Stress in Wire of Engine Valve Spring, enter Wahl Factor of Valve Spring (K), Initial Spring Force on Valve (P_i), Stiffness of Valve Spring (k), Lift of Valve (h_max), Spring Index for Valve Spring (C) & Wire Diameter of Valve Spring (d_w) and hit the calculate button.

FAQs on Torsional Shear Stress in Wire of Engine Valve Spring

What is the formula to find Torsional Shear Stress in Wire of Engine Valve Spring?

The formula of Torsional Shear Stress in Wire of Engine Valve Spring is expressed as Shear Stress in Valve Spring = ((8*Wahl Factor of Valve Spring*(Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve*Spring Index for Valve Spring))/(pi*Wire Diameter of Valve Spring^2)). Here is an example- 9.2E-5 = ((8*1.2*(120+9000*0.011*8))/(pi*0.0055^2)).

How to calculate Torsional Shear Stress in Wire of Engine Valve Spring?

With Wahl Factor of Valve Spring (K), Initial Spring Force on Valve (P_i), Stiffness of Valve Spring (k), Lift of Valve (h_max), Spring Index for Valve Spring (C) & Wire Diameter of Valve Spring (d_w) we can find Torsional Shear Stress in Wire of Engine Valve Spring using the formula - Shear Stress in Valve Spring = ((8*Wahl Factor of Valve Spring*(Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve*Spring Index for Valve Spring))/(pi*Wire Diameter of Valve Spring^2)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Shear Stress in Valve Spring?

Here are the different ways to Calculate Shear Stress in Valve Spring-

Shear Stress in Valve Spring=(8*Wahl Factor of Valve Spring*Axial Force on Valve Spring*Spring Index for Valve Spring)/(pi*Wire Diameter of Valve Spring^2)

Can the Torsional Shear Stress in Wire of Engine Valve Spring be negative?

No, the Torsional Shear Stress in Wire of Engine Valve Spring, measured in Stress cannot be negative.

Which unit is used to measure Torsional Shear Stress in Wire of Engine Valve Spring?

Torsional Shear Stress in Wire of Engine Valve 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 Torsional Shear Stress in Wire of Engine Valve Spring can be measured.

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Torsional Shear Stress in Wire of Engine Valve Spring Formula

​GoTorsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring Formula

Torsional Shear Stress in Wire of Engine Valve Spring Example

Torsional Shear Stress in Wire of Engine Valve Spring Solution

Torsional Shear Stress in Wire of Engine Valve Spring Formula Elements

Other Formulas to find Shear Stress in Valve Spring

Other formulas in Valve Spring category

How to Evaluate Torsional Shear Stress in Wire of Engine Valve Spring?

FAQs on Torsional Shear Stress in Wire of Engine Valve Spring

Variable Name

GoTorsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring Formula