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Strain Energy Stored in Tension Rod Formula

GoStrain Energy in Rod when it is Subjected to External Torque Formula

GoStrain Energy Stored in Rod Subjected to Bending Moment Formula

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Strain Energy in Rod or Shaft is defined as the energy stored in a rod or a shaft due to deformation. Check FAQs

U = \frac{(P^{2}) \cdot L}{2 \cdot A \cdot E}

U - Strain Energy in Rod or Shaft?P - Axial Force on Beam?L - Length of Rod or Shaft?A - Cross Sectional Area of Rod?E - Modulus of elasticity of rod or shaft?

Strain Energy Stored in Tension Rod Example

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Here is how the Strain Energy Stored in Tension Rod equation looks like with Values.

Here is how the Strain Energy Stored in Tension Rod equation looks like with Units.

Here is how the Strain Energy Stored in Tension Rod equation looks like.

39.9867 = \frac{(55000^{2}) \cdot 1330}{2 \cdot 513.34 \cdot 98000}

39.9867J = \frac{({55000N}^{2}) \cdot 1330mm}{2 \cdot 513.34mm² \cdot 98000N/mm²}

39.9867 = \frac{(55000^{2}) \cdot 1330}{2 \cdot 513.34 \cdot 98000}

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Strain Energy Stored in Tension Rod Solution

Follow our step by step solution on how to calculate Strain Energy Stored in Tension Rod?

FIRST Step Consider the formula

U = \frac{(P^{2}) \cdot L}{2 \cdot A \cdot E}

Next Step Substitute values of Variables

∴

U = \frac{({55000N}^{2}) \cdot 1330mm}{2 \cdot 513.34mm² \cdot 98000N/mm²}

Next Step Convert Units

∴

U = \frac{({55000N}^{2}) \cdot 1.33m}{2 \cdot 0.0005m² \cdot 9.8E+10Pa}

Next Step Prepare to Evaluate

∴

U = \frac{(55000^{2}) \cdot 1.33}{2 \cdot 0.0005 \cdot 9.8E+10}

Next Step Evaluate

∴

U = 39.9867255898346J

LAST Step Rounding Answer

∴

U = 39.9867J

Strain Energy Stored in Tension Rod Formula Elements

Variables

Strain Energy in Rod or Shaft

Strain Energy in Rod or Shaft is defined as the energy stored in a rod or a shaft due to deformation.

Symbol: U

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Strain Energy in Rod or Shaft

Axial Force on Beam

Axial Force on Beam is defined as the compression or tension force acting on a beam, rod, or shaft.

Symbol: P

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Axial Force on Beam

Length of Rod or Shaft

Length of Rod or Shaft is defined as the total length of the rod or the shaft according to Castiglano's theorom.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Rod or Shaft

Cross Sectional Area of Rod

Cross Sectional Area of Rod is the area of a two-dimensional shape that is obtained when a three-dimensional rod is sliced perpendicular to some specified axis at a point.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Rod

Modulus of elasticity of rod or shaft

Modulus of elasticity of rod or shaft is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.

Symbol: E

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of elasticity of rod or shaft

Other Formulas to find Strain Energy in Rod or Shaft

Go Strain Energy in Rod when it is Subjected to External Torque

U = (τ^{2}) \cdot \frac{L}{2 \cdot J \cdot G}

Go Strain Energy Stored in Rod Subjected to Bending Moment

U = ({M b}^{2}) \cdot \frac{L}{2 \cdot E \cdot I}

Other formulas in Castigliano's Theorem for Deflection in Complex Structures category

Go Force Applied on Rod given Strain Energy Stored in Tension Rod

P = \sqrt{U \cdot 2 \cdot A \cdot \frac{E}{L}}

Go Length of Rod given Strain Energy Stored

L = U \cdot 2 \cdot A \cdot \frac{E}{P^{2}}

Go Modulus of Elasticity of Rod given Strain Energy Stored

E = P^{2} \cdot \frac{L}{2 \cdot A \cdot U}

Go Torque given Strain Energy in Rod Subjected to External Torque

τ = \sqrt{2 \cdot U \cdot J \cdot \frac{G}{L}}

How to Evaluate Strain Energy Stored in Tension Rod?

Strain Energy Stored in Tension Rod evaluator uses Strain Energy in Rod or Shaft = ((Axial Force on Beam^2)*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of elasticity of rod or shaft) to evaluate the Strain Energy in Rod or Shaft, The Strain Energy Stored in Tension Rod formula is defined as a type of potential energy that is stored in a structural member as a result of elastic deformation. Strain Energy in Rod or Shaft is denoted by U symbol.

How to evaluate Strain Energy Stored in Tension Rod using this online evaluator? To use this online evaluator for Strain Energy Stored in Tension Rod, enter Axial Force on Beam (P), Length of Rod or Shaft (L), Cross Sectional Area of Rod (A) & Modulus of elasticity of rod or shaft (E) and hit the calculate button.

FAQs on Strain Energy Stored in Tension Rod

What is the formula to find Strain Energy Stored in Tension Rod?

The formula of Strain Energy Stored in Tension Rod is expressed as Strain Energy in Rod or Shaft = ((Axial Force on Beam^2)*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of elasticity of rod or shaft). Here is an example- 39.98673 = ((55000^2)*1.33)/(2*0.00051334*98000000000).

How to calculate Strain Energy Stored in Tension Rod?

With Axial Force on Beam (P), Length of Rod or Shaft (L), Cross Sectional Area of Rod (A) & Modulus of elasticity of rod or shaft (E) we can find Strain Energy Stored in Tension Rod using the formula - Strain Energy in Rod or Shaft = ((Axial Force on Beam^2)*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of elasticity of rod or shaft).

What are the other ways to Calculate Strain Energy in Rod or Shaft?

Here are the different ways to Calculate Strain Energy in Rod or Shaft-

Strain Energy in Rod or Shaft=(Torque on Rod or Shaft^2)*Length of Rod or Shaft/(2*Polar Moment of Inertia of rod or shaft*Modulus of rigidity of rod or shaft)
Strain Energy in Rod or Shaft=(Bending Moment in Shaft or Beam^2)*Length of Rod or Shaft/(2*Modulus of elasticity of rod or shaft*Area Moment of Inertia of rod or shaft)

Can the Strain Energy Stored in Tension Rod be negative?

No, the Strain Energy Stored in Tension Rod, measured in Energy cannot be negative.

Which unit is used to measure Strain Energy Stored in Tension Rod?

Strain Energy Stored in Tension Rod 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 Tension Rod can be measured.

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: Unit

Strain Energy Stored in Tension Rod Formula

​GoStrain Energy in Rod when it is Subjected to External Torque Formula

​GoStrain Energy Stored in Rod Subjected to Bending Moment Formula

Strain Energy Stored in Tension Rod Example

Strain Energy Stored in Tension Rod Solution

Strain Energy Stored in Tension Rod Formula Elements

Other Formulas to find Strain Energy in Rod or Shaft

Other formulas in Castigliano's Theorem for Deflection in Complex Structures category

How to Evaluate Strain Energy Stored in Tension Rod?

FAQs on Strain Energy Stored in Tension Rod

Variable Name

GoStrain Energy in Rod when it is Subjected to External Torque Formula

GoStrain Energy Stored in Rod Subjected to Bending Moment Formula