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Bending Moment applied on Spring given Bending Stress Formula

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

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

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

Bending Moment applied on Spring given Bending Stress Example

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Here is how the Bending Moment applied on Spring given Bending Stress equation looks like with Values.

Here is how the Bending Moment applied on Spring given Bending Stress equation looks like with Units.

Here is how the Bending Moment applied on Spring given Bending Stress equation looks like.

4324.9999 = 800.0002 \cdot \frac{3.1416 \cdot 4^{3}}{1.1622 \cdot 32}

4324.9999N*mm = 800.0002N/mm² \cdot \frac{3.1416 \cdot {4mm}^{3}}{1.1622 \cdot 32}

4324.9999 = 800.0002 \cdot \frac{3.1416 \cdot 4^{3}}{1.1622 \cdot 32}

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Bending Moment applied on Spring given Bending Stress Solution

Follow our step by step solution on how to calculate Bending Moment applied on Spring given Bending Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M b = 800.0002N/mm² \cdot \frac{π \cdot {4mm}^{3}}{1.1622 \cdot 32}

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

M b = 8E+8Pa \cdot \frac{3.1416 \cdot {0.004m}^{3}}{1.1622 \cdot 32}

Next Step Prepare to Evaluate

∴

M b = 8E+8 \cdot \frac{3.1416 \cdot {0.004}^{3}}{1.1622 \cdot 32}

Next Step Evaluate

∴

M b = 4.32499991600534N*m

Next Step Convert to Output's Unit

∴

M b = 4324.99991600534N*mm

LAST Step Rounding Answer

∴

M b = 4324.9999N*mm

Bending Moment applied on Spring given Bending Stress Formula Elements

Variables

Constants

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

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

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 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 Moment applied on Spring given Bending Stress?

Bending Moment applied on Spring given Bending Stress evaluator uses Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32) to evaluate the Bending moment in spring, Bending Moment applied on Spring given Bending Stress formula is defined as a measure of the twisting force that causes the spring to deform, which is essential in determining the spring's ability to withstand external loads and stresses in helical spring applications. Bending moment in spring is denoted by M_b symbol.

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

FAQs on Bending Moment applied on Spring given Bending Stress

What is the formula to find Bending Moment applied on Spring given Bending Stress?

The formula of Bending Moment applied on Spring given Bending Stress is expressed as Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32). Here is an example- 4.3E+6 = 800000200*(pi*0.004^3)/(1.162208*32).

How to calculate Bending Moment applied on Spring given Bending Stress?

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

Can the Bending Moment applied on Spring given Bending Stress be negative?

No, the Bending Moment applied on Spring given Bending Stress, measured in Torque cannot be negative.

Which unit is used to measure Bending Moment applied on Spring given Bending Stress?

Bending Moment applied on Spring given Bending Stress is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Bending Moment applied on Spring given Bending Stress can be measured.

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Bending Moment applied on Spring given Bending Stress Formula

Bending Moment applied on Spring given Bending Stress Example

Bending Moment applied on Spring given Bending Stress Solution

Bending Moment applied on Spring given Bending Stress Formula Elements

Other formulas in Helical Torsion Springs category

How to Evaluate Bending Moment applied on Spring given Bending Stress?

FAQs on Bending Moment applied on Spring given Bending Stress

Variable Name