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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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The Strain Energy is the energy stored in a material due to deformation, which can be released when the material returns to its original shape. Check FAQs

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

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

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.

37.1392 = \frac{55000^{2} \cdot 1432.449}{2 \cdot 552.6987 \cdot 105548.9}

37.1392J = \frac{{55000N}^{2} \cdot 1432.449mm}{2 \cdot 552.6987mm² \cdot 105548.9N/mm²}

37.1392 = \frac{55000^{2} \cdot 1432.449}{2 \cdot 552.6987 \cdot 105548.9}

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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 1432.449mm}{2 \cdot 552.6987mm² \cdot 105548.9N/mm²}

Next Step Convert Units

∴

U = \frac{{55000N}^{2} \cdot 1.4324m}{2 \cdot 0.0006m² \cdot 1.1E+11Pa}

Next Step Prepare to Evaluate

∴

U = \frac{55000^{2} \cdot 1.4324}{2 \cdot 0.0006 \cdot 1.1E+11}

Next Step Evaluate

∴

U = 37.1391874026152J

LAST Step Rounding Answer

∴

U = 37.1392J

Strain Energy Stored in Tension Rod Formula Elements

Variables

Strain Energy

The Strain Energy is the energy stored in a material due to deformation, which can be released when the material returns to its original shape.

Symbol: U

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Strain Energy

Axial Force on Beam

The Axial Force on Beam is the internal force acting along the length of a beam, influencing its stability and structural integrity under various loads.

Symbol: P

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Axial Force on Beam

Length of Rod or Shaft

The Length of Rod or Shaft is the measurement of the distance from one end of the rod or shaft to the other, crucial for structural analysis.

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

The Cross Sectional Area of Rod is the area of the cut surface of a rod, which influences its strength and stiffness in structural applications.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Rod

Modulus of Elasticity

The Modulus of Elasticity is a measure of a material's stiffness, indicating how much it deforms under stress in relation to its original dimensions.

Symbol: E

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity

Other Formulas to find Strain Energy

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 = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity) to evaluate the Strain Energy, Strain Energy Stored in Tension Rod formula is defined as a measure of the energy accumulated in a tension rod when it is subjected to an axial load. This energy is essential for understanding the material's behavior under stress and its capacity to withstand deformation. Strain Energy 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 (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 = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity). Here is an example- 37.13919 = (55000^2*1.432449)/(2*0.0005526987*105548900000).

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 (E) we can find Strain Energy Stored in Tension Rod using the formula - Strain Energy = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity).

What are the other ways to Calculate Strain Energy?

Here are the different ways to Calculate Strain Energy-

Strain Energy=Torque^2*Length of Rod or Shaft/(2*Polar Moment of Inertia*Modulus of Rigidity)
Strain Energy=Bending Moment^2*Length of Rod or Shaft/(2*Modulus of Elasticity*Area Moment of Inertia)

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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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

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