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Diameter of Spring Wire given Bending Stress in Spring Formula

GoDiameter of Spring Wire given Stiffness Formula

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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. Check FAQs

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

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

Diameter of Spring Wire given Bending Stress in Spring Example

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Here is how the Diameter of Spring Wire given Bending Stress in Spring equation looks like with Values.

Here is how the Diameter of Spring Wire given Bending Stress in Spring equation looks like with Units.

Here is how the Diameter of Spring Wire given Bending Stress in Spring equation looks like.

4 = {(1.1622 \cdot 32 \cdot \frac{4325}{3.1416 \cdot 800.0002})}^{\frac{1}{3}}

4mm = {(1.1622 \cdot 32 \cdot \frac{4325N*mm}{3.1416 \cdot 800.0002N/mm²})}^{\frac{1}{3}}

4 = {(1.1622 \cdot 32 \cdot \frac{4325}{3.1416 \cdot 800.0002})}^{\frac{1}{3}}

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Diameter of Spring Wire given Bending Stress in Spring Solution

Follow our step by step solution on how to calculate Diameter of Spring Wire given Bending Stress in Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(1.1622 \cdot 32 \cdot \frac{4325N*mm}{π \cdot 800.0002N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(1.1622 \cdot 32 \cdot \frac{4325N*mm}{3.1416 \cdot 800.0002N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

d = {(1.1622 \cdot 32 \cdot \frac{4.325N*m}{3.1416 \cdot 8E+8Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(1.1622 \cdot 32 \cdot \frac{4.325}{3.1416 \cdot 8E+8})}^{\frac{1}{3}}

Next Step Evaluate

∴

d = 0.00400000002589431m

Next Step Convert to Output's Unit

∴

d = 4.00000002589431mm

LAST Step Rounding Answer

∴

d = 4mm

Diameter of Spring Wire given Bending Stress in Spring Formula Elements

Variables

Constants

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

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

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

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 Diameter of spring wire

Go Diameter of Spring Wire given Stiffness

d = {(k h \cdot 64 \cdot D \cdot \frac{N a}{E})}^{\frac{1}{4}}

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 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 Diameter of Spring Wire given Bending Stress in Spring?

Diameter of Spring Wire given Bending Stress in Spring evaluator uses Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3) to evaluate the Diameter of spring wire, Diameter of Spring Wire given Bending Stress in Spring formula is defined as a measure of the diameter of a helical spring wire, which is a critical parameter in spring design, taking into account the bending stress that the spring can withstand, and is essential in determining the spring's overall performance and reliability. Diameter of spring wire is denoted by d symbol.

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

FAQs on Diameter of Spring Wire given Bending Stress in Spring

What is the formula to find Diameter of Spring Wire given Bending Stress in Spring?

The formula of Diameter of Spring Wire given Bending Stress in Spring is expressed as Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3). Here is an example- 4000 = (1.162208*32*4.325/(pi*800000200))^(1/3).

How to calculate Diameter of Spring Wire given Bending Stress in Spring?

With Wahl Factor of Spring (K), Bending moment in spring (M_b) & Bending Stress in Torsion Spring (σb_t) we can find Diameter of Spring Wire given Bending Stress in Spring using the formula - Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of spring wire?

Here are the different ways to Calculate Diameter of spring wire-

Diameter of spring wire=(Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4)

Can the Diameter of Spring Wire given Bending Stress in Spring be negative?

No, the Diameter of Spring Wire given Bending Stress in Spring, measured in Length cannot be negative.

Which unit is used to measure Diameter of Spring Wire given Bending Stress in Spring?

Diameter of Spring Wire given Bending Stress in Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Spring Wire given Bending Stress in Spring can be measured.

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Diameter of Spring Wire given Bending Stress in Spring Formula

​GoDiameter of Spring Wire given Stiffness Formula

Diameter of Spring Wire given Bending Stress in Spring Example

Diameter of Spring Wire given Bending Stress in Spring Solution

Diameter of Spring Wire given Bending Stress in Spring Formula Elements

Other Formulas to find Diameter of spring wire

Other formulas in Helical Torsion Springs category

How to Evaluate Diameter of Spring Wire given Bending Stress in Spring?

FAQs on Diameter of Spring Wire given Bending Stress in Spring

Variable Name

GoDiameter of Spring Wire given Stiffness Formula