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Bending Moment due to Force given Bending Stress induced in Spring Formula

GoBending Moment due to Force Formula

GoBending Moment due to Force given Angle of Rotation of Arbor with Respect to Drum Formula

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Bending moment in spiral spring is the reaction induced in a spiral spring when an external force or moment is applied to the element, causing the element to bend. Check FAQs

M = σ b \cdot b \cdot \frac{t^{2}}{12}

M - Bending moment in spiral spring?σ_b - Bending Stress in Spiral Spring?b - Width of Strip of Spiral Spring?t - Thickness of Strip of Spring?

Bending Moment due to Force given Bending Stress induced in Spring Example

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Here is how the Bending Moment due to Force given Bending Stress induced in Spring equation looks like with Values.

Here is how the Bending Moment due to Force given Bending Stress induced in Spring equation looks like with Units.

Here is how the Bending Moment due to Force given Bending Stress induced in Spring equation looks like.

1200 = 800 \cdot 11.52 \cdot \frac{{1.25}^{2}}{12}

1200N*mm = 800N/mm² \cdot 11.52mm \cdot \frac{{1.25mm}^{2}}{12}

1200 = 800 \cdot 11.52 \cdot \frac{{1.25}^{2}}{12}

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Bending Moment due to Force given Bending Stress induced in Spring Solution

Follow our step by step solution on how to calculate Bending Moment due to Force given Bending Stress induced in Spring?

FIRST Step Consider the formula

M = σ b \cdot b \cdot \frac{t^{2}}{12}

Next Step Substitute values of Variables

∴

M = 800N/mm² \cdot 11.52mm \cdot \frac{{1.25mm}^{2}}{12}

Next Step Convert Units

∴

M = 8E+8Pa \cdot 0.0115m \cdot \frac{{0.0012m}^{2}}{12}

Next Step Prepare to Evaluate

∴

M = 8E+8 \cdot 0.0115 \cdot \frac{{0.0012}^{2}}{12}

Next Step Evaluate

∴

M = 1.2N*m

LAST Step Convert to Output's Unit

∴

M = 1200N*mm

Bending Moment due to Force given Bending Stress induced in Spring Formula Elements

Variables

Bending moment in spiral spring

Bending moment in spiral spring is the reaction induced in a spiral spring when an external force or moment is applied to the element, causing the element to bend.

Symbol: M

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending moment in spiral spring

Bending Stress in Spiral Spring

Bending Stress in Spiral Spring is the normal stress that is induced at a point in a spring subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Spiral Spring

Width of Strip of Spiral Spring

The Width of Strip of Spiral Spring is defined as the thickness of the wired strip measured in the lateral direction and by which the spiral spring is manufactured.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Strip of Spiral Spring

Thickness of Strip of Spring

The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Strip of Spring

Other Formulas to find Bending moment in spiral spring

Go Bending Moment due to Force

M = P \cdot r

Go Bending Moment due to Force given Angle of Rotation of Arbor with Respect to Drum

M = θ \cdot E \cdot b \cdot \frac{t^{3}}{12 \cdot l}

Go Bending Moment due to Force given Deflection of one End of Spring

M = \frac{δ \cdot E \cdot b \cdot t^{3}}{12 \cdot l \cdot r}

Go Bending Moment given Strain Energy Stored in Spring

M = \sqrt{U \cdot E \cdot b \cdot \frac{t^{3}}{6 \cdot l}}

Other formulas in Bending Moment in Spiral Spring category

Go Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force

r = \frac{M}{P}

Go Deflection of one End of Spring with Respect to Other End

δ = 12 \cdot M \cdot l \cdot \frac{r}{E \cdot b \cdot t^{3}}

Go Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring

r = δ \cdot E \cdot b \cdot \frac{t^{3}}{12 \cdot M \cdot l}

How to Evaluate Bending Moment due to Force given Bending Stress induced in Spring?

Bending Moment due to Force given Bending Stress induced in Spring evaluator uses Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12 to evaluate the Bending moment in spiral spring, Bending Moment due to Force given Bending Stress induced in Spring formula is defined as a measure of the turning effect of a force that causes a spring to bend, resulting in a stress that can lead to deformation or even failure of the spring, particularly in spiral springs. Bending moment in spiral spring is denoted by M symbol.

How to evaluate Bending Moment due to Force given Bending Stress induced in Spring using this online evaluator? To use this online evaluator for Bending Moment due to Force given Bending Stress induced in Spring, enter Bending Stress in Spiral Spring (σ_b), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) and hit the calculate button.

FAQs on Bending Moment due to Force given Bending Stress induced in Spring

What is the formula to find Bending Moment due to Force given Bending Stress induced in Spring?

The formula of Bending Moment due to Force given Bending Stress induced in Spring is expressed as Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12. Here is an example- 1.2E+6 = 800000000*0.01152*0.00125^2/12.

How to calculate Bending Moment due to Force given Bending Stress induced in Spring?

With Bending Stress in Spiral Spring (σ_b), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) we can find Bending Moment due to Force given Bending Stress induced in Spring using the formula - Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12.

What are the other ways to Calculate Bending moment in spiral spring?

Here are the different ways to Calculate Bending moment in spiral spring-

Bending moment in spiral spring=Force on spiral spring*Distance of CG of Spiral Spring
Bending moment in spiral spring=Angle of Rotation of Arbor*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(12*Length of Strip of Spiral Spring)
Bending moment in spiral spring=(Deflection of Spiral Spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)/(12*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring)

Can the Bending Moment due to Force given Bending Stress induced in Spring be negative?

No, the Bending Moment due to Force given Bending Stress induced in Spring, measured in Torque cannot be negative.

Which unit is used to measure Bending Moment due to Force given Bending Stress induced in Spring?

Bending Moment due to Force given Bending Stress induced in Spring 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 due to Force given Bending Stress induced in Spring can be measured.

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Bending Moment due to Force given Bending Stress induced in Spring Formula

​GoBending Moment due to Force Formula

​GoBending Moment due to Force given Angle of Rotation of Arbor with Respect to Drum Formula

Bending Moment due to Force given Bending Stress induced in Spring Example

Bending Moment due to Force given Bending Stress induced in Spring Solution

Bending Moment due to Force given Bending Stress induced in Spring Formula Elements

Other Formulas to find Bending moment in spiral spring

Other formulas in Bending Moment in Spiral Spring category

How to Evaluate Bending Moment due to Force given Bending Stress induced in Spring?

FAQs on Bending Moment due to Force given Bending Stress induced in Spring

Variable Name

GoBending Moment due to Force Formula

GoBending Moment due to Force given Angle of Rotation of Arbor with Respect to Drum Formula