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Thickness of Strip given Strain Energy Stored in Strip Formula

GoThickness of Strip given Bending Stress induced at outer end of Spring Formula

GoThickness of Strip when Angle of Rotation of Arbor with Respect to Drum Formula

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

t = {(6 \cdot M^{2} \cdot \frac{l}{E \cdot b \cdot U})}^{\frac{1}{3}}

t - Thickness of Strip of Spring?M - Bending moment in spiral spring?l - Length of Strip of Spiral Spring?E - Modulus of elasticity of spiral spring?b - Width of Strip of Spiral Spring?U - Strain energy in spiral spring?

Thickness of Strip given Strain Energy Stored in Strip Example

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Here is how the Thickness of Strip given Strain Energy Stored in Strip equation looks like with Values.

Here is how the Thickness of Strip given Strain Energy Stored in Strip equation looks like with Units.

Here is how the Thickness of Strip given Strain Energy Stored in Strip equation looks like.

1.2501 = {(6 \cdot 1200^{2} \cdot \frac{5980}{207000 \cdot 11.52 \cdot 11.09})}^{\frac{1}{3}}

1.2501mm = {(6 \cdot {1200N*mm}^{2} \cdot \frac{5980mm}{207000N/mm² \cdot 11.52mm \cdot 11.09J})}^{\frac{1}{3}}

1.2501 = {(6 \cdot 1200^{2} \cdot \frac{5980}{207000 \cdot 11.52 \cdot 11.09})}^{\frac{1}{3}}

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Thickness of Strip given Strain Energy Stored in Strip Solution

Follow our step by step solution on how to calculate Thickness of Strip given Strain Energy Stored in Strip?

FIRST Step Consider the formula

t = {(6 \cdot M^{2} \cdot \frac{l}{E \cdot b \cdot U})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

t = {(6 \cdot {1200N*mm}^{2} \cdot \frac{5980mm}{207000N/mm² \cdot 11.52mm \cdot 11.09J})}^{\frac{1}{3}}

Next Step Convert Units

∴

t = {(6 \cdot {1.2N*m}^{2} \cdot \frac{5.98m}{2.1E+11Pa \cdot 0.0115m \cdot 11.09J})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

t = {(6 \cdot {1.2}^{2} \cdot \frac{5.98}{2.1E+11 \cdot 0.0115 \cdot 11.09})}^{\frac{1}{3}}

Next Step Evaluate

∴

t = 0.00125012522540657m

Next Step Convert to Output's Unit

∴

t = 1.25012522540657mm

LAST Step Rounding Answer

∴

t = 1.2501mm

Thickness of Strip given Strain Energy Stored in Strip Formula Elements

Variables

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

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

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

Strain energy in spiral spring

Strain energy in spiral spring is the energy stored in a spiral spring by virtue of its deformation.

Symbol: U

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Strain energy in spiral spring

Other Formulas to find Thickness of Strip of Spring

Go Thickness of Strip given Bending Stress induced at outer end of Spring

t = \sqrt{12 \cdot \frac{M}{b \cdot σ b}}

Go Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum

t = {(12 \cdot M \cdot \frac{l}{E \cdot b \cdot θ})}^{\frac{1}{3}}

Go Thickness of Strip given Deflection of one end of Spring with respect to other end

t = {(\frac{12 \cdot M \cdot l \cdot r}{E \cdot b \cdot δ})}^{\frac{1}{3}}

How to Evaluate Thickness of Strip given Strain Energy Stored in Strip?

Thickness of Strip given Strain Energy Stored in Strip evaluator uses Thickness of Strip of Spring = (6*Bending moment in spiral spring^2*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Strain energy in spiral spring))^(1/3) to evaluate the Thickness of Strip of Spring, Thickness of Strip given Strain Energy Stored in Strip formula is defined as the measure of the strip's thickness in terms of the strain energy stored, which is a critical parameter in spiral spring design, influencing the spring's overall performance and reliability. Thickness of Strip of Spring is denoted by t symbol.

How to evaluate Thickness of Strip given Strain Energy Stored in Strip using this online evaluator? To use this online evaluator for Thickness of Strip given Strain Energy Stored in Strip, enter Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b) & Strain energy in spiral spring (U) and hit the calculate button.

FAQs on Thickness of Strip given Strain Energy Stored in Strip

What is the formula to find Thickness of Strip given Strain Energy Stored in Strip?

The formula of Thickness of Strip given Strain Energy Stored in Strip is expressed as Thickness of Strip of Spring = (6*Bending moment in spiral spring^2*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Strain energy in spiral spring))^(1/3). Here is an example- 1250.125 = (6*1.2^2*5.98/(207000000000*0.01152*11.09))^(1/3).

How to calculate Thickness of Strip given Strain Energy Stored in Strip?

With Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b) & Strain energy in spiral spring (U) we can find Thickness of Strip given Strain Energy Stored in Strip using the formula - Thickness of Strip of Spring = (6*Bending moment in spiral spring^2*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Strain energy in spiral spring))^(1/3).

What are the other ways to Calculate Thickness of Strip of Spring?

Here are the different ways to Calculate Thickness of Strip of Spring-

Thickness of Strip of Spring=sqrt(12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Bending Stress in Spiral Spring))
Thickness of Strip of Spring=(12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Angle of Rotation of Arbor))^(1/3)
Thickness of Strip of Spring=((12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring)/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Deflection of Spiral Spring))^(1/3)

Can the Thickness of Strip given Strain Energy Stored in Strip be negative?

No, the Thickness of Strip given Strain Energy Stored in Strip, measured in Length cannot be negative.

Which unit is used to measure Thickness of Strip given Strain Energy Stored in Strip?

Thickness of Strip given Strain Energy Stored in Strip is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of Strip given Strain Energy Stored in Strip can be measured.

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Thickness of Strip given Strain Energy Stored in Strip Formula

​GoThickness of Strip given Bending Stress induced at outer end of Spring Formula

​GoThickness of Strip when Angle of Rotation of Arbor with Respect to Drum Formula

Thickness of Strip given Strain Energy Stored in Strip Example

Thickness of Strip given Strain Energy Stored in Strip Solution

Thickness of Strip given Strain Energy Stored in Strip Formula Elements

Other Formulas to find Thickness of Strip of Spring

How to Evaluate Thickness of Strip given Strain Energy Stored in Strip?

FAQs on Thickness of Strip given Strain Energy Stored in Strip

Variable Name

GoThickness of Strip given Bending Stress induced at outer end of Spring Formula

GoThickness of Strip when Angle of Rotation of Arbor with Respect to Drum Formula