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Stress Concentration Factor given Bending Stress in Spring Formula

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Wahl Factor of Spring is a dimensionless parameter that characterizes the geometry and stiffness of helical torsion springs, influencing their mechanical behavior. Check FAQs

K = σb t \cdot \frac{π \cdot d^{3}}{32 \cdot M b}

K - Wahl Factor of Spring?σb_t - Bending Stress in Torsion Spring?d - Diameter of spring wire?M_b - Bending moment in spring?π - Archimedes' constant?

Stress Concentration Factor given Bending Stress in Spring Example

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Here is how the Stress Concentration Factor given Bending Stress in Spring equation looks like with Values.

Here is how the Stress Concentration Factor given Bending Stress in Spring equation looks like with Units.

Here is how the Stress Concentration Factor given Bending Stress in Spring equation looks like.

1.1622 = 800.0002 \cdot \frac{3.1416 \cdot 4^{3}}{32 \cdot 4325}

1.1622 = 800.0002N/mm² \cdot \frac{3.1416 \cdot {4mm}^{3}}{32 \cdot 4325N*mm}

1.1622 = 800.0002 \cdot \frac{3.1416 \cdot 4^{3}}{32 \cdot 4325}

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Stress Concentration Factor given Bending Stress in Spring Solution

Follow our step by step solution on how to calculate Stress Concentration Factor given Bending Stress in Spring?

FIRST Step Consider the formula

K = σb t \cdot \frac{π \cdot d^{3}}{32 \cdot M b}

Next Step Substitute values of Variables

∴

K = 800.0002N/mm² \cdot \frac{π \cdot {4mm}^{3}}{32 \cdot 4325N*mm}

Next Step Substitute values of Constants

∴

K = 800.0002N/mm² \cdot \frac{3.1416 \cdot {4mm}^{3}}{32 \cdot 4325N*mm}

Next Step Convert Units

∴

K = 8E+8Pa \cdot \frac{3.1416 \cdot {0.004m}^{3}}{32 \cdot 4.325N*m}

Next Step Prepare to Evaluate

∴

K = 8E+8 \cdot \frac{3.1416 \cdot {0.004}^{3}}{32 \cdot 4.325}

Next Step Evaluate

∴

K = 1.16220797742907

LAST Step Rounding Answer

∴

K = 1.1622

Stress Concentration Factor given Bending Stress in Spring Formula Elements

Variables

Constants

Wahl Factor of Spring

Wahl Factor of Spring is a dimensionless parameter that characterizes the geometry and stiffness of helical torsion springs, influencing their mechanical behavior.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wahl Factor of Spring

Bending Stress in Torsion Spring

Bending Stress in Torsion Spring is the stress caused by twisting force in a helical torsion spring, affecting its structural integrity and performance.

Symbol: σb_t

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Torsion Spring

Diameter of spring wire

Diameter of spring wire is the diameter of the wire used in a helical torsion spring, which affects the spring's stiffness and load-carrying capacity.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of spring wire

Bending moment in spring

Bending moment in spring is the rotational force that causes the helical torsion spring to twist or deform around its axis.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending moment in 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 Helical Torsion Springs category

Go Bending Stress in Spring

σb t = K \cdot 32 \cdot \frac{M b}{π \cdot d^{3}}

Go Bending Moment applied on Spring given Bending Stress

M b = σb t \cdot \frac{π \cdot d^{3}}{K \cdot 32}

Go Diameter of Spring Wire given Bending Stress in Spring

d = {(K \cdot 32 \cdot \frac{M b}{π \cdot σb t})}^{\frac{1}{3}}

Go Stiffness of Helical Torsion Spring

k h = E \cdot \frac{d^{4}}{64 \cdot D \cdot N a}

How to Evaluate Stress Concentration Factor given Bending Stress in Spring?

Stress Concentration Factor given Bending Stress in Spring evaluator uses Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring) to evaluate the Wahl Factor of Spring, Stress Concentration Factor given Bending Stress in Spring formula is defined as a dimensionless quantity that amplifies the nominal stress in a helical spring, taking into account the bending stress and spring geometry, providing a more accurate prediction of the spring's behavior under load. Wahl Factor of Spring is denoted by K symbol.

How to evaluate Stress Concentration Factor given Bending Stress in Spring using this online evaluator? To use this online evaluator for Stress Concentration Factor given Bending Stress in Spring, enter Bending Stress in Torsion Spring (σb_t), Diameter of spring wire (d) & Bending moment in spring (M_b) and hit the calculate button.

FAQs on Stress Concentration Factor given Bending Stress in Spring

What is the formula to find Stress Concentration Factor given Bending Stress in Spring?

The formula of Stress Concentration Factor given Bending Stress in Spring is expressed as Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring). Here is an example- 1.162587 = 800000200*(pi*0.004^3)/(32*4.325).

How to calculate Stress Concentration Factor given Bending Stress in Spring?

With Bending Stress in Torsion Spring (σb_t), Diameter of spring wire (d) & Bending moment in spring (M_b) we can find Stress Concentration Factor given Bending Stress in Spring using the formula - Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring). This formula also uses Archimedes' constant .

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Stress Concentration Factor given Bending Stress in Spring Formula

Stress Concentration Factor given Bending Stress in Spring Example

Stress Concentration Factor given Bending Stress in Spring Solution

Stress Concentration Factor given Bending Stress in Spring Formula Elements

Other formulas in Helical Torsion Springs category

How to Evaluate Stress Concentration Factor given Bending Stress in Spring?

FAQs on Stress Concentration Factor given Bending Stress in Spring

Variable Name