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

GoLength of Strip from Outer end to inner End given Deflection of one End of Spring Formula

GoLength of Strip from Outer end to Inner End given Strain Energy Stored in Spring Formula

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

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

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

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

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Here is how the Length of Strip from Outer end to inner End given Angle of Rotation of Arbor equation looks like with Values.

Here is how the Length of Strip from Outer end to inner End given Angle of Rotation of Arbor equation looks like with Units.

Here is how the Length of Strip from Outer end to inner End given Angle of Rotation of Arbor equation looks like.

6093.5625 = 18.84 \cdot 207000 \cdot 11.52 \cdot \frac{{1.25}^{3}}{12 \cdot 1200}

6093.5625mm = 18.84rad \cdot 207000N/mm² \cdot 11.52mm \cdot \frac{{1.25mm}^{3}}{12 \cdot 1200N*mm}

6093.5625 = 18.84 \cdot 207000 \cdot 11.52 \cdot \frac{{1.25}^{3}}{12 \cdot 1200}

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

Follow our step by step solution on how to calculate Length of Strip from Outer end to inner End given Angle of Rotation of Arbor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l = 18.84rad \cdot 207000N/mm² \cdot 11.52mm \cdot \frac{{1.25mm}^{3}}{12 \cdot 1200N*mm}

Next Step Convert Units

∴

l = 18.84rad \cdot 2.1E+11Pa \cdot 0.0115m \cdot \frac{{0.0012m}^{3}}{12 \cdot 1.2N*m}

Next Step Prepare to Evaluate

∴

l = 18.84 \cdot 2.1E+11 \cdot 0.0115 \cdot \frac{{0.0012}^{3}}{12 \cdot 1.2}

Next Step Evaluate

∴

l = 6.0935625m

LAST Step Convert to Output's Unit

∴

l = 6093.5625mm

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

Variables

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

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

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

Other Formulas to find Length of Strip of Spiral Spring

Go Length of Strip from Outer end to inner End given Deflection of one End of Spring

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

Go Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring

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

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 Modulus of Elasticity given Angle of Rotation of Arbor

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

Go Force given Bending Moment Due to that Force

P = \frac{M}{r}

How to Evaluate Length of Strip from Outer end to inner End given Angle of Rotation of Arbor?

Length of Strip from Outer end to inner End given Angle of Rotation of Arbor evaluator uses Length of Strip of 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*Bending moment in spiral spring) to evaluate the Length of Strip of Spiral Spring, Length of Strip from Outer end to inner End given Angle of Rotation of Arbor formula is defined as a measure of the distance from the outer end to the inner end of a spiral spring, considering the angle of rotation of the arbor, which is critical in determining the spring's overall dimensions and functionality. Length of Strip of Spiral Spring is denoted by l symbol.

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

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

What is the formula to find Length of Strip from Outer end to inner End given Angle of Rotation of Arbor?

The formula of Length of Strip from Outer end to inner End given Angle of Rotation of Arbor is expressed as Length of Strip of 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*Bending moment in spiral spring). Here is an example- 6.1E+6 = 18.84*207000000000*0.01152*(0.00125^3)/(12*1.2).

How to calculate Length of Strip from Outer end to inner End given Angle of Rotation of Arbor?

With Angle of Rotation of Arbor (θ), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b), Thickness of Strip of Spring (t) & Bending moment in spiral spring (M) we can find Length of Strip from Outer end to inner End given Angle of Rotation of Arbor using the formula - Length of Strip of 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*Bending moment in spiral spring).

What are the other ways to Calculate Length of Strip of Spiral Spring?

Here are the different ways to Calculate Length of Strip of Spiral Spring-

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

Can the Length of Strip from Outer end to inner End given Angle of Rotation of Arbor be negative?

No, the Length of Strip from Outer end to inner End given Angle of Rotation of Arbor, measured in Length cannot be negative.

Which unit is used to measure Length of Strip from Outer end to inner End given Angle of Rotation of Arbor?

Length of Strip from Outer end to inner End given Angle of Rotation of Arbor is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Strip from Outer end to inner End given Angle of Rotation of Arbor can be measured.

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

​GoLength of Strip from Outer end to inner End given Deflection of one End of Spring Formula

​GoLength of Strip from Outer end to Inner End given Strain Energy Stored in Spring Formula

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

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

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

Other Formulas to find Length of Strip of Spiral Spring

Other formulas in Spring Material Mechanics category

How to Evaluate Length of Strip from Outer end to inner End given Angle of Rotation of Arbor?

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

Variable Name

GoLength of Strip from Outer end to inner End given Deflection of one End of Spring Formula

GoLength of Strip from Outer end to Inner End given Strain Energy Stored in Spring Formula