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

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

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

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

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

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

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

Here is how the Force Applied on Rod given Strain Energy Stored in Tension Rod equation looks like.

55009.1284 = \sqrt{40 \cdot 2 \cdot 513.34 \cdot \frac{98000}{1330}}

55009.1284N = \sqrt{40J \cdot 2 \cdot 513.34mm² \cdot \frac{98000N/mm²}{1330mm}}

55009.1284 = \sqrt{40 \cdot 2 \cdot 513.34 \cdot \frac{98000}{1330}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \sqrt{40J \cdot 2 \cdot 513.34mm² \cdot \frac{98000N/mm²}{1330mm}}

Next Step Convert Units

∴

P = \sqrt{40J \cdot 2 \cdot 0.0005m² \cdot \frac{9.8E+10Pa}{1.33m}}

Next Step Prepare to Evaluate

∴

P = \sqrt{40 \cdot 2 \cdot 0.0005 \cdot \frac{9.8E+10}{1.33}}

Next Step Evaluate

∴

P = 55009.1284290736N

LAST Step Rounding Answer

∴

P = 55009.1284N

Force Applied on Rod given Strain Energy Stored in Tension Rod Formula Elements

Variables

Functions

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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

Go Strain Energy Stored in Tension Rod

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

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 Strain Energy in Rod when it is Subjected to External Torque

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

How to Evaluate Force Applied on Rod given Strain Energy Stored in Tension Rod?

Force Applied on Rod given Strain Energy Stored in Tension Rod evaluator uses Axial Force on Beam = sqrt(Strain Energy in Rod or Shaft*2*Cross Sectional Area of Rod*Modulus of elasticity of rod or shaft/Length of Rod or Shaft) to evaluate the Axial Force on Beam, The Force Applied on Rod given Strain Energy Stored in Tension Rod formula is defined as the total amount of force applied on the rod . Axial Force on Beam is denoted by P symbol.

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

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

What is the formula to find Force Applied on Rod given Strain Energy Stored in Tension Rod?

The formula of Force Applied on Rod given Strain Energy Stored in Tension Rod is expressed as Axial Force on Beam = sqrt(Strain Energy in Rod or Shaft*2*Cross Sectional Area of Rod*Modulus of elasticity of rod or shaft/Length of Rod or Shaft). Here is an example- 55009.13 = sqrt(40*2*0.00051334*98000000000/1.33).

How to calculate Force Applied on Rod given Strain Energy Stored in Tension Rod?

With Strain Energy in Rod or Shaft (U), Cross Sectional Area of Rod (A), Modulus of elasticity of rod or shaft (E) & Length of Rod or Shaft (L) we can find Force Applied on Rod given Strain Energy Stored in Tension Rod using the formula - Axial Force on Beam = sqrt(Strain Energy in Rod or Shaft*2*Cross Sectional Area of Rod*Modulus of elasticity of rod or shaft/Length of Rod or Shaft). This formula also uses Square Root Function function(s).

Can the Force Applied on Rod given Strain Energy Stored in Tension Rod be negative?

Yes, the Force Applied on Rod given Strain Energy Stored in Tension Rod, measured in Force can be negative.

Which unit is used to measure Force Applied on Rod given Strain Energy Stored in Tension Rod?

Force Applied on Rod given Strain Energy Stored in Tension Rod is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force Applied on Rod given Strain Energy Stored in Tension Rod can be measured.

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

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

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

Force Applied on Rod given Strain Energy Stored in Tension Rod Formula Elements

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

How to Evaluate Force Applied on Rod given Strain Energy Stored in Tension Rod?

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

Variable Name