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Modulus of Elasticity given Angle of Rotation of Arbor Formula

GoModulus of Elasticity given Deflection of one End of Spring with Respect to Other End Formula

GoModulus of Elasticity of Spring Wire given Strain Energy Stored in Spring Formula

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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. Check FAQs

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

E - Modulus of elasticity of spiral spring?M - Bending moment in spiral spring?l - Length of Strip of Spiral Spring?θ - Angle of Rotation of Arbor?b - Width of Strip of Spiral Spring?t - Thickness of Strip of Spring?

Modulus of Elasticity given Angle of Rotation of Arbor Example

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Here is how the Modulus of Elasticity given Angle of Rotation of Arbor equation looks like with Values.

Here is how the Modulus of Elasticity given Angle of Rotation of Arbor equation looks like with Units.

Here is how the Modulus of Elasticity given Angle of Rotation of Arbor equation looks like.

203142.2505 = 12 \cdot 1200 \cdot \frac{5980}{18.84 \cdot 11.52 \cdot ({1.25}^{3})}

203142.2505N/mm² = 12 \cdot 1200N*mm \cdot \frac{5980mm}{18.84rad \cdot 11.52mm \cdot ({1.25mm}^{3})}

203142.2505 = 12 \cdot 1200 \cdot \frac{5980}{18.84 \cdot 11.52 \cdot ({1.25}^{3})}

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Modulus of Elasticity given Angle of Rotation of Arbor Solution

Follow our step by step solution on how to calculate Modulus of Elasticity given Angle of Rotation of Arbor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = 12 \cdot 1200N*mm \cdot \frac{5980mm}{18.84rad \cdot 11.52mm \cdot ({1.25mm}^{3})}

Next Step Convert Units

∴

E = 12 \cdot 1.2N*m \cdot \frac{5.98m}{18.84rad \cdot 0.0115m \cdot ({0.0012m}^{3})}

Next Step Prepare to Evaluate

∴

E = 12 \cdot 1.2 \cdot \frac{5.98}{18.84 \cdot 0.0115 \cdot ({0.0012}^{3})}

Next Step Evaluate

∴

E = 203142250530.786Pa

Next Step Convert to Output's Unit

∴

E = 203142.250530786N/mm²

LAST Step Rounding Answer

∴

E = 203142.2505N/mm²

Modulus of Elasticity given Angle of Rotation of Arbor Formula Elements

Variables

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

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

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

Angle of Rotation of Arbor

Angle of Rotation of Arbor is defined as how many degrees the arbor is rotated with respect to the drum line.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle of Rotation of Arbor

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 Modulus of elasticity of spiral spring

Go Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End

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

Go Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring

E = \frac{6 \cdot (M^{2}) \cdot l}{U \cdot b \cdot t^{3}}

Other formulas in Spring Material Mechanics category

Go Maximum Bending Stress induced at outer end of Spring

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

Go Angle of Rotation of Arbor with Respect to Drum

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

Go Length of Strip from Outer end to inner End given Angle of Rotation of Arbor

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

Go Force given Bending Moment Due to that Force

P = \frac{M}{r}

How to Evaluate Modulus of Elasticity given Angle of Rotation of Arbor?

Modulus of Elasticity given Angle of Rotation of Arbor evaluator uses Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Angle of Rotation of Arbor*Width of Strip of Spiral Spring*(Thickness of Strip of Spring^3)) to evaluate the Modulus of elasticity of spiral spring, Modulus of Elasticity given Angle of Rotation of Arbor formula is defined as a measure of the stiffness of a material, which is essential in designing and analyzing spiral springs, as it determines the spring's ability to resist deformation under various loads and stresses. Modulus of elasticity of spiral spring is denoted by E symbol.

How to evaluate Modulus of Elasticity given Angle of Rotation of Arbor using this online evaluator? To use this online evaluator for Modulus of Elasticity given Angle of Rotation of Arbor, enter Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Angle of Rotation of Arbor (θ), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) and hit the calculate button.

FAQs on Modulus of Elasticity given Angle of Rotation of Arbor

What is the formula to find Modulus of Elasticity given Angle of Rotation of Arbor?

The formula of Modulus of Elasticity given Angle of Rotation of Arbor is expressed as Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Angle of Rotation of Arbor*Width of Strip of Spiral Spring*(Thickness of Strip of Spring^3)). Here is an example- 0.203142 = 12*1.2*5.98/(18.84*0.01152*(0.00125^3)).

How to calculate Modulus of Elasticity given Angle of Rotation of Arbor?

With Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Angle of Rotation of Arbor (θ), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) we can find Modulus of Elasticity given Angle of Rotation of Arbor using the formula - Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Angle of Rotation of Arbor*Width of Strip of Spiral Spring*(Thickness of Strip of Spring^3)).

What are the other ways to Calculate Modulus of elasticity of spiral spring?

Here are the different ways to Calculate Modulus of elasticity of spiral spring-

Modulus of elasticity of spiral spring=12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring/(Deflection of Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)
Modulus of elasticity of spiral spring=(6*(Bending moment in spiral spring^2)*Length of Strip of Spiral Spring)/(Strain energy in spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)

Can the Modulus of Elasticity given Angle of Rotation of Arbor be negative?

No, the Modulus of Elasticity given Angle of Rotation of Arbor, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity given Angle of Rotation of Arbor?

Modulus of Elasticity given Angle of Rotation of Arbor is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Modulus of Elasticity given Angle of Rotation of Arbor can be measured.

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Modulus of Elasticity given Angle of Rotation of Arbor Formula

​GoModulus of Elasticity given Deflection of one End of Spring with Respect to Other End Formula

​GoModulus of Elasticity of Spring Wire given Strain Energy Stored in Spring Formula

Modulus of Elasticity given Angle of Rotation of Arbor Example

Modulus of Elasticity given Angle of Rotation of Arbor Solution

Modulus of Elasticity given Angle of Rotation of Arbor Formula Elements

Other Formulas to find Modulus of elasticity of spiral spring

Other formulas in Spring Material Mechanics category

How to Evaluate Modulus of Elasticity given Angle of Rotation of Arbor?

FAQs on Modulus of Elasticity given Angle of Rotation of Arbor

Variable Name

GoModulus of Elasticity given Deflection of one End of Spring with Respect to Other End Formula

GoModulus of Elasticity of Spring Wire given Strain Energy Stored in Spring Formula