FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Strain Energy Stored in Spiral Spring Formula

Fx Copy

LaTeX Copy

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

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

U - Strain energy in spiral 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?t - Thickness of Strip of Spring?

Strain Energy Stored in Spiral Spring Example

With values

With units

Only example

Here is how the Strain Energy Stored in Spiral Spring equation looks like with Values.

Here is how the Strain Energy Stored in Spiral Spring equation looks like with Units.

Here is how the Strain Energy Stored in Spiral Spring equation looks like.

11.0933 = 6 \cdot (1200^{2}) \cdot \frac{5980}{207000 \cdot 11.52 \cdot {1.25}^{3}}

11.0933J = 6 \cdot ({1200N*mm}^{2}) \cdot \frac{5980mm}{207000N/mm² \cdot 11.52mm \cdot {1.25mm}^{3}}

11.0933 = 6 \cdot (1200^{2}) \cdot \frac{5980}{207000 \cdot 11.52 \cdot {1.25}^{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Strain Energy Stored in Spiral Spring

Strain Energy Stored in Spiral Spring Solution

Follow our step by step solution on how to calculate Strain Energy Stored in Spiral Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

U = 6 \cdot ({1200N*mm}^{2}) \cdot \frac{5980mm}{207000N/mm² \cdot 11.52mm \cdot {1.25mm}^{3}}

Next Step Convert Units

∴

U = 6 \cdot ({1.2N*m}^{2}) \cdot \frac{5.98m}{2.1E+11Pa \cdot 0.0115m \cdot {0.0012m}^{3}}

Next Step Prepare to Evaluate

∴

U = 6 \cdot ({1.2}^{2}) \cdot \frac{5.98}{2.1E+11 \cdot 0.0115 \cdot {0.0012}^{3}}

Next Step Evaluate

∴

U = 11.0933333333333J

LAST Step Rounding Answer

∴

U = 11.0933J

Strain Energy Stored in Spiral Spring Formula Elements

Variables

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

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

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 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 Modulus of Elasticity given Angle of Rotation of Arbor

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

How to Evaluate Strain Energy Stored in Spiral Spring?

Strain Energy Stored in Spiral Spring evaluator uses Strain energy in spiral 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*Thickness of Strip of Spring^3) to evaluate the Strain energy in spiral spring, Strain Energy Stored in Spiral Spring formula is defined as the energy stored in a spiral spring when it is deformed, which is a critical parameter in the design and analysis of spiral springs used in various mechanical systems, including watches, toys, and industrial machinery. Strain energy in spiral spring is denoted by U symbol.

How to evaluate Strain Energy Stored in Spiral Spring using this online evaluator? To use this online evaluator for Strain Energy Stored in Spiral Spring, 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) & Thickness of Strip of Spring (t) and hit the calculate button.

FAQs on Strain Energy Stored in Spiral Spring

What is the formula to find Strain Energy Stored in Spiral Spring?

The formula of Strain Energy Stored in Spiral Spring is expressed as Strain energy in spiral 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*Thickness of Strip of Spring^3). Here is an example- 11.09333 = 6*(1.2^2)*5.98/(207000000000*0.01152*0.00125^3).

How to calculate Strain Energy Stored in Spiral Spring?

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) & Thickness of Strip of Spring (t) we can find Strain Energy Stored in Spiral Spring using the formula - Strain energy in spiral 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*Thickness of Strip of Spring^3).

Can the Strain Energy Stored in Spiral Spring be negative?

No, the Strain Energy Stored in Spiral Spring, measured in Energy cannot be negative.

Which unit is used to measure Strain Energy Stored in Spiral Spring?

Strain Energy Stored in Spiral Spring is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Strain Energy Stored in Spiral Spring can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Strain Energy Stored in Spiral Spring Formula

Strain Energy Stored in Spiral Spring Example

Strain Energy Stored in Spiral Spring Solution

Strain Energy Stored in Spiral Spring Formula Elements

Other formulas in Spring Material Mechanics category

How to Evaluate Strain Energy Stored in Spiral Spring?

FAQs on Strain Energy Stored in Spiral Spring

Variable Name