Modulus of Elasticity of Rod given Strain Energy Stored Calculator

✖Axial Force on Beam is defined as the compression or tension force acting on a beam, rod, or shaft.ⓘ Axial Force on Beam [P]			+10% -10%
✖Length of Rod or Shaft is defined as the total length of the rod or the shaft according to Castiglano's theorom.ⓘ Length of Rod or Shaft [L]			+10% -10%
✖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.ⓘ Cross Sectional Area of Rod [A]			+10% -10%
✖Strain Energy in Rod or Shaft is defined as the energy stored in a rod or a shaft due to deformation.ⓘ Strain Energy in Rod or Shaft [U]			+10% -10%

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

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Modulus of Elasticity of Rod given Strain Energy Stored

Formula

`"E" = "P"^2*"L"/(2*"A"*"U")`

Example

`"97967.48N/mm²"=("55000N")^2*"1330mm"/(2*"513.34mm²"*"40J")`

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Modulus of Elasticity of Rod given Strain Energy Stored Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Modulus of elasticity of rod or shaft - (Measured in Pascal) - 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.
Axial Force on Beam - (Measured in Newton) - Axial Force on Beam is defined as the compression or tension force acting on a beam, rod, or shaft.
Length of Rod or Shaft - (Measured in Meter) - Length of Rod or Shaft is defined as the total length of the rod or the shaft according to Castiglano's theorom.
Cross Sectional Area of Rod - (Measured in Square Meter) - 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.
Strain Energy in Rod or Shaft - (Measured in Joule) - Strain Energy in Rod or Shaft is defined as the energy stored in a rod or a shaft due to deformation.

STEP 1: Convert Input(s) to Base Unit

Axial Force on Beam: 55000 Newton --> 55000 Newton No Conversion Required
Length of Rod or Shaft: 1330 Millimeter --> 1.33 Meter (Check conversion here)
Cross Sectional Area of Rod: 513.34 Square Millimeter --> 0.00051334 Square Meter (Check conversion here)
Strain Energy in Rod or Shaft: 40 Joule --> 40 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = P^2*L/(2*A*U) --> 55000^2*1.33/(2*0.00051334*40)

Evaluating ... ...

E = 97967477695.0949

STEP 3: Convert Result to Output's Unit

97967477695.0949 Pascal -->97967.4776950949 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

97967.4776950949 ≈ 97967.48 Newton per Square Millimeter <-- Modulus of elasticity of rod or shaft

(Calculation completed in 00.004 seconds)

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< 14 Castigliano's Theorem for Deflection in Complex Structures Calculators

Torque given Strain Energy in Rod Subjected to External Torque

Go Torque on Rod or Shaft = sqrt(2*Strain Energy in Rod or Shaft*Polar Moment of Inertia of rod or shaft*Modulus of rigidity of rod or shaft/Length of Rod or Shaft)

Force Applied on Rod given Strain Energy Stored in Tension Rod

Go 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)

Moment of Inertia of Shaft when Strain Energy Stored in Shaft Subjected to Bending Moment

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

Modulus of Elasticity given Strain Energy Stored in Shaft Subjected to Bending Moment

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

Strain Energy Stored in Rod Subjected to Bending Moment

Go 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)

Length of Shaft given Strain Energy Stored in Shaft Subjected to Bending Moment

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

Length of Shaft when Strain Energy in Shaft Subjected to External Torque

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

Strain Energy in Rod when it is Subjected to External Torque

Go 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)

Polar Moment of Inertia of Rod given Strain Energy in Rod

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

Modulus of Rigidity of Rod given Strain Energy in Rod

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

Strain Energy Stored in Tension Rod

Go 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)

Cross-sectional Area of Rod given Strain Energy stored in Rod

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

Modulus of Elasticity of Rod given Strain Energy Stored

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

Length of Rod given Strain Energy Stored

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

Modulus of Elasticity of Rod given Strain Energy Stored Formula

Modulus of elasticity of rod or shaft = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy in Rod or Shaft)
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 of rod or shaft = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy in Rod or Shaft) to calculate the Modulus of elasticity of rod or shaft, The Modulus of Elasticity of Rod given Strain Energy Stored formula is defined as 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. Modulus of elasticity of rod or shaft 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 in Rod or Shaft (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 -> 0.097967 = 55000^2*1.33/(2*0.00051334*40).

FAQ

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

The Modulus of Elasticity of Rod given Strain Energy Stored formula is defined as 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 and is represented as E = P^2*L/(2*A*U) or Modulus of elasticity of rod or shaft = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy in Rod or Shaft). Axial Force on Beam is defined as the compression or tension force acting on a beam, 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, 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 & Strain Energy in Rod or Shaft is defined as the energy stored in a rod or a shaft due to deformation.

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

The Modulus of Elasticity of Rod given Strain Energy Stored formula is defined as 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 is calculated using Modulus of elasticity of rod or shaft = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy in Rod or Shaft). 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 in Rod or Shaft (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 in Rod or Shaft 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 of rod or shaft?

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

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

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