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Width of Strip given Strain Energy Stored in Spring Formula

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GoWidth of Strip given Bending Stress induced at uuter end of Spring Formula

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GoWidth of Strip given Angle of Rotation of Arbor with Respect to Drum Formula

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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. Check FAQs

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

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

Width of Strip given Strain Energy Stored in Spring Example

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

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

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

11.5235 = 6 \cdot (1200^{2}) \cdot \frac{5980}{207000 \cdot 11.09 \cdot {1.25}^{3}}

11.5235mm = 6 \cdot ({1200N*mm}^{2}) \cdot \frac{5980mm}{207000N/mm² \cdot 11.09J \cdot {1.25mm}^{3}}

11.5235 = 6 \cdot (1200^{2}) \cdot \frac{5980}{207000 \cdot 11.09 \cdot {1.25}^{3}}

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Width of Strip given Strain Energy Stored in Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = 6 \cdot ({1200N*mm}^{2}) \cdot \frac{5980mm}{207000N/mm² \cdot 11.09J \cdot {1.25mm}^{3}}

Next Step Convert Units

∴

b = 6 \cdot ({1.2N*m}^{2}) \cdot \frac{5.98m}{2.1E+11Pa \cdot 11.09J \cdot {0.0012m}^{3}}

Next Step Prepare to Evaluate

∴

b = 6 \cdot ({1.2}^{2}) \cdot \frac{5.98}{2.1E+11 \cdot 11.09 \cdot {0.0012}^{3}}

Next Step Evaluate

∴

b = 0.0115234625788999m

Next Step Convert to Output's Unit

∴

b = 11.5234625788999mm

LAST Step Rounding Answer

∴

b = 11.5235mm

Width of Strip given Strain Energy Stored in Spring Formula Elements

Variables

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.

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.

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.

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.

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.

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.

Credits

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Formula and 1000+ more formulas!

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Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

Other Formulas to find Width of Strip of Spiral Spring

Go Width of Strip given Bending Stress induced at uuter end of Spring

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

Go Width of Strip given Angle of Rotation of Arbor with Respect to Drum

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

Go Width of Strip given Deflection of one End of Spring

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

Go Width of Strip given Deflection of one End of Spring with Respect to Other End

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

How to Evaluate Width of Strip given Strain Energy Stored in Spring?

Width of Strip given Strain Energy Stored in Spring evaluator uses Width of Strip of Spiral Spring = 6*(Bending moment in spiral spring^2)*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Strain energy in spiral spring*Thickness of Strip of Spring^3) to evaluate the Width of Strip of Spiral Spring, Width of Strip given Strain Energy Stored in Spring formula is defined as the measure of the width of a strip in a spiral spring, which is influenced by the spring's material properties and the energy stored in it, providing a critical parameter in the design and analysis of spiral springs. Width of Strip of Spiral Spring is denoted by b symbol.

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

FAQs on Width of Strip given Strain Energy Stored in Spring

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

The formula of Width of Strip given Strain Energy Stored in Spring is expressed as Width of Strip of Spiral Spring = 6*(Bending moment in spiral spring^2)*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Strain energy in spiral spring*Thickness of Strip of Spring^3). Here is an example- 11523.46 = 6*(1.2^2)*5.98/(207000000000*11.09*0.00125^3).

How to calculate Width of Strip given Strain Energy Stored in Spring?

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

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

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

Width of Strip of Spiral Spring=12*Bending moment in spiral spring/(Bending Stress in Spiral Spring*Thickness of Strip of Spring^2)
Width of Strip of Spiral Spring=12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Angle of Rotation of Arbor*(Thickness of Strip of Spring^3))
Width of Strip of Spiral 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)

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

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

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

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

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