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Modulus of Elasticity of the Rod When Strain Energy Stored is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
modulus_of_elasticity = Axial Force^2*Length of Rod/2*Cross sectional area*Strain Energy
E = P^2*l/2*A*U
This formula uses 4 Variables
Variables Used
Axial Force - The Axial Force value/ axial force (Measured in Newton)
Length of Rod - The length of the rod is defined as the total length of the conducting rod. (Measured in Meter)
Cross sectional area - Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specifies axis at a point. (Measured in Square Meter)
Strain Energy - The Strain energy is defined as the energy stored in a body due to deformation. (Measured in Joule)
STEP 1: Convert Input(s) to Base Unit
Axial Force: 10 Newton --> 10 Newton No Conversion Required
Length of Rod: 2 Meter --> 2 Meter No Conversion Required
Cross sectional area: 10 Square Meter --> 10 Square Meter No Conversion Required
Strain Energy: 50 Joule --> 50 Joule No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = P^2*l/2*A*U --> 10^2*2/2*10*50
Evaluating ... ...
E = 50000
STEP 3: Convert Result to Output's Unit
50000 Pascal -->50 Kilonewton per Square Meter (Check conversion here)
FINAL ANSWER
50 Kilonewton per Square Meter <-- Modulus Of Elasticity
(Calculation completed in 00.017 seconds)

10+ Castigliano's Theorem Calculators

Force Applied on the Rod When Strain Energy Stored in Tension Rod is Given
axial_force = sqrt(Strain Energy*2*Cross sectional area*Modulus Of Elasticity/Length of Rod) Go
Torque When Strain Energy in the Rod When Subjected to External Torque is Given
torque = sqrt(Strain Energy*Polar moment of Inertia*Modulus of rigidity/Length of Shaft) Go
Strain Energy Stored in the Rod Subjected to Bending Moment
strain_energy = (Bending moment^2)*Length of Shaft/Modulus Of Elasticity*Moment of Inertia Go
Modulus of Elasticity of the Rod When Strain Energy Stored is Given
modulus_of_elasticity = Axial Force^2*Length of Rod/2*Cross sectional area*Strain Energy Go
Length of the Rod When Strain Energy Stored is Given
length_of_rod = Strain Energy*2*Cross sectional area*Modulus Of Elasticity/Axial Force^2 Go
Strain Energy Stored in Tension Rod
strain_energy = Axial Force^2*Length of Rod/2*Cross sectional area*Modulus Of Elasticity Go
Length of Shaft When Strain Energy in the Shaft Subjected to External Torque
length_of_shaft = Strain Energy*Polar moment of Inertia*Modulus of rigidity/(Torque^2) Go
Polar Moment of Inertia of the Rod When Strain Energy in the Rod is Given
polar_moment_of_inertia = (Torque^2)*Length of Shaft/Strain Energy*Modulus of rigidity Go
Modulus of Rigidity of the Rod When Strain Energy in the Rod is Given
modulus_of_rigidity = (Torque^2)*Length of Shaft/Polar moment of Inertia*Strain Energy Go
Strain Energy in the Rod When it is Subjected to External Torque
strain_energy = (Torque^2)*Length of Shaft/Polar moment of Inertia*Modulus of rigidity Go

Modulus of Elasticity of the Rod When Strain Energy Stored is Given Formula

modulus_of_elasticity = Axial Force^2*Length of Rod/2*Cross sectional area*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 the Rod When Strain Energy Stored is Given?

Modulus of Elasticity of the Rod When Strain Energy Stored is Given calculator uses modulus_of_elasticity = Axial Force^2*Length of Rod/2*Cross sectional area*Strain Energy to calculate the Modulus Of Elasticity, The Modulus of Elasticity of the Rod When Strain Energy Stored is Given 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 and is denoted by E symbol.

How to calculate Modulus of Elasticity of the Rod When Strain Energy Stored is Given using this online calculator? To use this online calculator for Modulus of Elasticity of the Rod When Strain Energy Stored is Given, enter Axial Force (P), Length of Rod (l), Cross sectional area (A) and Strain Energy (U) and hit the calculate button. Here is how the Modulus of Elasticity of the Rod When Strain Energy Stored is Given calculation can be explained with given input values -> 50 = 10^2*2/2*10*50.

FAQ

What is Modulus of Elasticity of the Rod When Strain Energy Stored is Given?
The Modulus of Elasticity of the Rod When Strain Energy Stored is Given 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 = Axial Force^2*Length of Rod/2*Cross sectional area*Strain Energy. The Axial Force value/ axial force, The length of the rod is defined as the total length of the conducting rod, Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specifies axis at a point and The Strain energy is defined as the energy stored in a body due to deformation.
How to calculate Modulus of Elasticity of the Rod When Strain Energy Stored is Given?
The Modulus of Elasticity of the Rod When Strain Energy Stored is Given 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 = Axial Force^2*Length of Rod/2*Cross sectional area*Strain Energy. To calculate Modulus of Elasticity of the Rod When Strain Energy Stored is Given, you need Axial Force (P), Length of Rod (l), Cross sectional area (A) and Strain Energy (U). With our tool, you need to enter the respective value for Axial Force, Length of Rod, Cross sectional area and 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, Length of Rod, Cross sectional area and Strain Energy. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • strain_energy = Axial Force^2*Length of Rod/2*Cross sectional area*Modulus Of Elasticity
  • axial_force = sqrt(Strain Energy*2*Cross sectional area*Modulus Of Elasticity/Length of Rod)
  • length_of_rod = Strain Energy*2*Cross sectional area*Modulus Of Elasticity/Axial Force^2
  • modulus_of_elasticity = Axial Force^2*Length of Rod/2*Cross sectional area*Strain Energy
  • strain_energy = (Torque^2)*Length of Shaft/Polar moment of Inertia*Modulus of rigidity
  • torque = sqrt(Strain Energy*Polar moment of Inertia*Modulus of rigidity/Length of Shaft)
  • length_of_shaft = Strain Energy*Polar moment of Inertia*Modulus of rigidity/(Torque^2)
  • modulus_of_rigidity = (Torque^2)*Length of Shaft/Polar moment of Inertia*Strain Energy
  • polar_moment_of_inertia = (Torque^2)*Length of Shaft/Strain Energy*Modulus of rigidity
  • strain_energy = (Bending moment^2)*Length of Shaft/Modulus Of Elasticity*Moment of Inertia
Where is the Modulus of Elasticity of the Rod When Strain Energy Stored is Given calculator used?
Among many, Modulus of Elasticity of the Rod When Strain Energy Stored is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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