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Bending Stress in Spring Formula

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

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

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

Bending Stress in Spring Example

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

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

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

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

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

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

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Bending Stress in Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σb t = 1.1622 \cdot 32 \cdot \frac{4325N*mm}{π \cdot {4mm}^{3}}

Next Step Substitute values of Constants

∴

σb t = 1.1622 \cdot 32 \cdot \frac{4325N*mm}{3.1416 \cdot {4mm}^{3}}

Next Step Convert Units

∴

σb t = 1.1622 \cdot 32 \cdot \frac{4.325N*m}{3.1416 \cdot {0.004m}^{3}}

Next Step Prepare to Evaluate

∴

σb t = 1.1622 \cdot 32 \cdot \frac{4.325}{3.1416 \cdot {0.004}^{3}}

Next Step Evaluate

∴

σb t = 800000215.536589Pa

Next Step Convert to Output's Unit

∴

σb t = 800.000215536589N/mm²

LAST Step Rounding Answer

∴

σb t = 800.0002N/mm²

Bending Stress in Spring Formula Elements

Variables

Constants

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

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 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

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

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 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 Stress Concentration Factor given Bending Stress in Spring

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

Go Stiffness of Helical Torsion Spring

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

How to Evaluate Bending Stress in Spring?

Bending Stress in Spring evaluator uses Bending Stress in Torsion Spring = Wahl Factor of Spring*32*Bending moment in spring/(pi*Diameter of spring wire^3) to evaluate the Bending Stress in Torsion Spring, Bending Stress in Spring formula is defined as a measure of the maximum stress that a helical spring can withstand without deforming plastically, which is critical in determining the spring's ability to resist bending forces and maintain its structural integrity in various mechanical applications. Bending Stress in Torsion Spring is denoted by σb_t symbol.

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

FAQs on Bending Stress in Spring

What is the formula to find Bending Stress in Spring?

The formula of Bending Stress in Spring is expressed as Bending Stress in Torsion Spring = Wahl Factor of Spring*32*Bending moment in spring/(pi*Diameter of spring wire^3). Here is an example- 0.0008 = 1.162208*32*4.325/(pi*0.004^3).

How to calculate Bending Stress in Spring?

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

Can the Bending Stress in Spring be negative?

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

Which unit is used to measure Bending Stress in Spring?

Bending 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 Bending Stress in Spring can be measured.

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Bending Stress in Spring Formula

Bending Stress in Spring Example

Bending Stress in Spring Solution

Bending Stress in Spring Formula Elements

Other formulas in Helical Torsion Springs category

How to Evaluate Bending Stress in Spring?

FAQs on Bending Stress in Spring

Variable Name