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

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

GoBending Moment due to Force 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 = \frac{δ \cdot E \cdot b \cdot t^{3}}{12 \cdot l \cdot r}

M - Bending moment in spiral spring?δ - Deflection of Spiral Spring?E - Modulus of elasticity of spiral spring?b - Width of Strip of Spiral Spring?t - Thickness of Strip of Spring?l - Length of Strip of Spiral Spring?r - Distance of CG of Spiral Spring?

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

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Here is how the Bending Moment due to Force given Deflection of one End of Spring equation looks like with Values.

Here is how the Bending Moment due to Force given Deflection of one End of Spring equation looks like with Units.

Here is how the Bending Moment due to Force given Deflection of one End of Spring equation looks like.

1201.3112 = \frac{1018 \cdot 207000 \cdot 11.52 \cdot {1.25}^{3}}{12 \cdot 5980 \cdot 55}

1201.3112N*mm = \frac{1018mm \cdot 207000N/mm² \cdot 11.52mm \cdot {1.25mm}^{3}}{12 \cdot 5980mm \cdot 55mm}

1201.3112 = \frac{1018 \cdot 207000 \cdot 11.52 \cdot {1.25}^{3}}{12 \cdot 5980 \cdot 55}

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

Follow our step by step solution on how to calculate Bending Moment due to Force given Deflection of one End of Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M = \frac{1018mm \cdot 207000N/mm² \cdot 11.52mm \cdot {1.25mm}^{3}}{12 \cdot 5980mm \cdot 55mm}

Next Step Convert Units

∴

M = \frac{1.018m \cdot 2.1E+11Pa \cdot 0.0115m \cdot {0.0012m}^{3}}{12 \cdot 5.98m \cdot 0.055m}

Next Step Prepare to Evaluate

∴

M = \frac{1.018 \cdot 2.1E+11 \cdot 0.0115 \cdot {0.0012}^{3}}{12 \cdot 5.98 \cdot 0.055}

Next Step Evaluate

∴

M = 1.20131118881119N*m

Next Step Convert to Output's Unit

∴

M = 1201.31118881119N*mm

LAST Step Rounding Answer

∴

M = 1201.3112N*mm

Bending Moment due to Force given Deflection of one End of 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

Deflection of Spiral Spring

Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spiral Spring

Modulus of elasticity of spiral spring

Modulus of elasticity of spiral spring is a quantity that measures the spring's resistance to being deformed elastically when stress is applied to it.

Symbol: E

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of elasticity of 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

Length of Strip of Spiral Spring

Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Strip of Spiral Spring

Distance of CG of Spiral Spring

The Distance of CG of Spiral Spring from Outer End is the distance between the spiral's outer end strip and the center of gravity of the spiral.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of CG of Spiral Spring

Other Formulas to find Bending moment in spiral spring

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

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

Go Bending Moment due to Force

M = P \cdot r

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}}

How to Evaluate Bending Moment due to Force given Deflection of one End of Spring?

Bending Moment due to Force given Deflection of one End of Spring evaluator uses 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) to evaluate the Bending moment in spiral spring, Bending Moment due to Force given Deflection of one End of Spring formula is defined as a measure of the twisting force that causes one end of a spiral spring to deflect, which is essential in determining the spring's stiffness and load-carrying capacity in various mechanical systems. Bending moment in spiral spring is denoted by M symbol.

How to evaluate Bending Moment due to Force given Deflection of one End of Spring using this online evaluator? To use this online evaluator for Bending Moment due to Force given Deflection of one End of Spring, enter Deflection of Spiral Spring (δ), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b), Thickness of Strip of Spring (t), Length of Strip of Spiral Spring (l) & Distance of CG of Spiral Spring (r) and hit the calculate button.

FAQs on Bending Moment due to Force given Deflection of one End of Spring

What is the formula to find Bending Moment due to Force given Deflection of one End of Spring?

The formula of Bending Moment due to Force given Deflection of one End of Spring is expressed as 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). Here is an example- 1.2E+6 = (1.018*207000000000*0.01152*0.00125^3)/(12*5.98*0.055).

How to calculate Bending Moment due to Force given Deflection of one End of Spring?

With Deflection of Spiral Spring (δ), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b), Thickness of Strip of Spring (t), Length of Strip of Spiral Spring (l) & Distance of CG of Spiral Spring (r) we can find Bending Moment due to Force given Deflection of one End of Spring using the formula - 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).

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=Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12
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)

Can the Bending Moment due to Force given Deflection of one End of Spring be negative?

No, the Bending Moment due to Force given Deflection of one End of Spring, measured in Torque cannot be negative.

Which unit is used to measure Bending Moment due to Force given Deflection of one End of Spring?

Bending Moment due to Force given Deflection of one End of 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 Deflection of one End of Spring can be measured.

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

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

​GoBending Moment due to Force Formula

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

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

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

FAQs on Bending Moment due to Force given Deflection of one End of Spring

Variable Name

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

GoBending Moment due to Force Formula