Modulus of Elasticity of Rod given Strain Energy Stored Calculator

✖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.ⓘ Axial Force on Beam [P]			+10% -10%
✖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.ⓘ Length of Rod or Shaft [L]			+10% -10%
✖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.ⓘ Cross Sectional Area of Rod [A]			+10% -10%
✖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.ⓘ Strain Energy [U]			+10% -10%

✖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.ⓘ Modulus of Elasticity of Rod given Strain Energy Stored [E]

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Download Castigliano's Theorem for Deflection in Complex Structures Formulas PDF PDF Image

Modulus of Elasticity of Rod given Strain Energy Stored Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy)
E = P^2*L/(2*A*U)
This formula uses 5 Variables

Variables Used

Modulus of Elasticity - (Measured in Pascal) - 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.
Axial Force on Beam - (Measured in Newton) - 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.
Length of Rod or Shaft - (Measured in Meter) - 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.
Cross Sectional Area of Rod - (Measured in Square Meter) - 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.
Strain Energy - (Measured in Joule) - 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.

STEP 1: Convert Input(s) to Base Unit

Axial Force on Beam: 55000 Newton --> 55000 Newton No Conversion Required
Length of Rod or Shaft: 1432.449 Millimeter --> 1.432449 Meter (Check conversion here)
Cross Sectional Area of Rod: 552.6987 Square Millimeter --> 0.0005526987 Square Meter (Check conversion here)
Strain Energy: 37.13919 Joule --> 37.13919 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = P^2*L/(2*A*U) --> 55000^2*1.432449/(2*0.0005526987*37.13919)

Evaluating ... ...

E = 105548892618.28

STEP 3: Convert Result to Output's Unit

105548892618.28 Pascal -->105548.89261828 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

105548.89261828 ≈ 105548.9 Newton per Square Millimeter <-- Modulus of Elasticity

(Calculation completed in 00.004 seconds)

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< Castigliano's Theorem for Deflection in Complex Structures Calculators

Force Applied on Rod given Strain Energy Stored in Tension Rod

Go Axial Force on Beam = sqrt(Strain Energy*2*Cross Sectional Area of Rod*Modulus of Elasticity/Length of Rod or Shaft)

Strain Energy Stored in Tension Rod

Go Strain Energy = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity)

Modulus of Elasticity of Rod given Strain Energy Stored

Go Modulus of Elasticity = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy)

Length of Rod given Strain Energy Stored

Go Length of Rod or Shaft = Strain Energy*2*Cross Sectional Area of Rod*Modulus of Elasticity/Axial Force on Beam^2

Modulus of Elasticity of Rod given Strain Energy Stored Formula

Modulus of Elasticity = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy)
E = P^2*L/(2*A*U)

Define Modulus of Elasticity?

Modulus of elasticity is the measure of the stress–strain relationship on the object. Modulus of elasticity is the prime feature in the calculation of the deformation response of concrete when stress is applied. Elastic constants are those constants which determine the deformation produced by a given stress system acting on the material.

How to Calculate Modulus of Elasticity of Rod given Strain Energy Stored?

Modulus of Elasticity of Rod given Strain Energy Stored calculator uses Modulus of Elasticity = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy) to calculate the Modulus of Elasticity, Modulus of Elasticity of Rod given Strain Energy Stored formula is defined as a measure of a material's ability to deform elastically when a force is applied. It quantifies the relationship between stress and strain, reflecting the stiffness of the rod under load conditions. Modulus of Elasticity is denoted by E symbol.

How to calculate Modulus of Elasticity of Rod given Strain Energy Stored using this online calculator? To use this online calculator for Modulus of Elasticity of Rod given Strain Energy Stored, enter Axial Force on Beam (P), Length of Rod or Shaft (L), Cross Sectional Area of Rod (A) & Strain Energy (U) and hit the calculate button. Here is how the Modulus of Elasticity of Rod given Strain Energy Stored calculation can be explained with given input values -> 0.122436 = 55000^2*1.432449/(2*0.0005526987*37.13919).

FAQ

What is Modulus of Elasticity of Rod given Strain Energy Stored?

Modulus of Elasticity of Rod given Strain Energy Stored formula is defined as a measure of a material's ability to deform elastically when a force is applied. It quantifies the relationship between stress and strain, reflecting the stiffness of the rod under load conditions and is represented as E = P^2*L/(2*A*U) or Modulus of Elasticity = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy). 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, 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, 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 & 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.

How to calculate Modulus of Elasticity of Rod given Strain Energy Stored?

Modulus of Elasticity of Rod given Strain Energy Stored formula is defined as a measure of a material's ability to deform elastically when a force is applied. It quantifies the relationship between stress and strain, reflecting the stiffness of the rod under load conditions is calculated using Modulus of Elasticity = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy). To calculate Modulus of Elasticity of Rod given Strain Energy Stored, you need Axial Force on Beam (P), Length of Rod or Shaft (L), Cross Sectional Area of Rod (A) & Strain Energy (U). With our tool, you need to enter the respective value for Axial Force on Beam, Length of Rod or Shaft, Cross Sectional Area of Rod & Strain Energy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Modulus of Elasticity?

In this formula, Modulus of Elasticity uses Axial Force on Beam, Length of Rod or Shaft, Cross Sectional Area of Rod & Strain Energy. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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