FormulaDen.com

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

Strain Energy Stored by Spring Formula

Fx Copy

LaTeX Copy

The Strain Energy is defined as the energy stored in a body due to deformation. Check FAQs

U = \frac{32 \cdot P^{2} \cdot R^{3} \cdot N}{G \cdot d^{4}}

U - Strain Energy?P - Axial Load?R - Mean Radius Spring Coil?N - Number of Coils?G - Modulus of Rigidity of Spring?d - Diameter of Spring Wire?

Strain Energy Stored by Spring Example

With values

With units

Only example

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

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

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

114729.8764 = \frac{32 \cdot 10^{2} \cdot 320^{3} \cdot 2}{4 \cdot 26^{4}}

114729.8764KJ = \frac{32 \cdot {10kN}^{2} \cdot {320mm}^{3} \cdot 2}{4MPa \cdot {26mm}^{4}}

114729.8764 = \frac{32 \cdot 10^{2} \cdot 320^{3} \cdot 2}{4 \cdot 26^{4}}

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

Strength of Materials » fx Strain Energy Stored by Spring

Strain Energy Stored by Spring Solution

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

FIRST Step Consider the formula

U = \frac{32 \cdot P^{2} \cdot R^{3} \cdot N}{G \cdot d^{4}}

Next Step Substitute values of Variables

∴

U = \frac{32 \cdot {10kN}^{2} \cdot {320mm}^{3} \cdot 2}{4MPa \cdot {26mm}^{4}}

Next Step Convert Units

∴

U = \frac{32 \cdot {10000N}^{2} \cdot {0.32m}^{3} \cdot 2}{4E+6Pa \cdot {0.026m}^{4}}

Next Step Prepare to Evaluate

∴

U = \frac{32 \cdot 10000^{2} \cdot {0.32}^{3} \cdot 2}{4E+6 \cdot {0.026}^{4}}

Next Step Evaluate

∴

U = 114729876.404888J

Next Step Convert to Output's Unit

∴

U = 114729.876404888KJ

LAST Step Rounding Answer

∴

U = 114729.8764KJ

Strain Energy Stored by Spring Formula Elements

Variables

Strain Energy

The Strain Energy is defined as the energy stored in a body due to deformation.

Symbol: U

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Strain Energy

Axial Load

Axial Load is defined as applying a force on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load

Mean Radius Spring Coil

Mean Radius Spring Coil is the mean radius of the coils of spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius Spring Coil

Number of Coils

The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Coils

Modulus of Rigidity of Spring

Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Spring

Diameter of Spring Wire

Diameter of spring wire is the diameter length of spring wire.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Other formulas in Loads and Parameter of Spring category

Go Twisting Moment on Wire of Helical Spring

D = P \cdot R

Go Twisting Moment given Maximum Shear Stress induced in Wire

D = \frac{π \cdot 𝜏 w \cdot d^{3}}{16}

Go Maximum Shear Stress induced in Wire given Twisting Moment

𝜏 w = \frac{16 \cdot D}{π \cdot d^{3}}

Go Maximum Shear Stress induced in Wire

𝜏 w = \frac{16 \cdot P \cdot R}{π \cdot d^{3}}

How to Evaluate Strain Energy Stored by Spring?

Strain Energy Stored by Spring evaluator uses Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Diameter of Spring Wire^4) to evaluate the Strain Energy, The Strain energy stored by spring formula is defined as the energy stored in a body due to deformation. Strain Energy is denoted by U symbol.

How to evaluate Strain Energy Stored by Spring using this online evaluator? To use this online evaluator for Strain Energy Stored by Spring, enter Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Modulus of Rigidity of Spring (G) & Diameter of Spring Wire (d) and hit the calculate button.

FAQs on Strain Energy Stored by Spring

What is the formula to find Strain Energy Stored by Spring?

The formula of Strain Energy Stored by Spring is expressed as Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Diameter of Spring Wire^4). Here is an example- 0.000405 = (32*10000^2*0.32^3*2)/(4000000*0.026^4).

How to calculate Strain Energy Stored by Spring?

With Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Modulus of Rigidity of Spring (G) & Diameter of Spring Wire (d) we can find Strain Energy Stored by Spring using the formula - Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Diameter of Spring Wire^4).

Can the Strain Energy Stored by Spring be negative?

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

Which unit is used to measure Strain Energy Stored by Spring?

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

Let Others Know

✖

Facebook

Twitter

Copied!

Strain Energy Stored by Spring Formula

Strain Energy Stored by Spring Example

Strain Energy Stored by Spring Solution

Strain Energy Stored by Spring Formula Elements

Other formulas in Loads and Parameter of Spring category

How to Evaluate Strain Energy Stored by Spring?

FAQs on Strain Energy Stored by Spring

Variable Name