Modulus of Resilience at given Strain Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of Resilience = Strain Energy in body/Volume of Body
Ur = Ubody/VT
This formula uses 3 Variables
Variables Used
Modulus of Resilience - (Measured in Pascal) - Modulus of Resilience is the strain energy per unit volume required to stress a material from an unloaded state up to the point of yielding.
Strain Energy in body - (Measured in Joule) - Strain Energy in body is defined as the energy stored in a body due to deformation.
Volume of Body - (Measured in Cubic Meter) - Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.
STEP 1: Convert Input(s) to Base Unit
Strain Energy in body: 6.4 Kilojoule --> 6400 Joule (Check conversion ​here)
Volume of Body: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ur = Ubody/VT --> 6400/63
Evaluating ... ...
Ur = 101.587301587302
STEP 3: Convert Result to Output's Unit
101.587301587302 Pascal -->0.000101587301587302 Megapascal (Check conversion ​here)
FINAL ANSWER
0.000101587301587302 0.000102 Megapascal <-- Modulus of Resilience
(Calculation completed in 00.004 seconds)

Credits

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Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
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National Institute Of Technology (NIT), Hamirpur
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Resilience Calculators

Proof Resilience given Stress Induced
​ LaTeX ​ Go Modulus of Resilience = (Stress at Elastic Limit^2*Volume of Body)/(2*Modulus of Elasticity Of Bar)
Modulus of Resilience given Stress Induced
​ LaTeX ​ Go Modulus of Resilience = Stress induced^2/(2*Modulus of Elasticity Of Bar)
Modulus of Resilience at given Strain Energy
​ LaTeX ​ Go Modulus of Resilience = Strain Energy in body/Volume of Body
Proof Resilience
​ LaTeX ​ Go Proof Resilience = Modulus of Resilience*Volume of Body

Modulus of Resilience at given Strain Energy Formula

​LaTeX ​Go
Modulus of Resilience = Strain Energy in body/Volume of Body
Ur = Ubody/VT

What is resilience?

The power or ability of a material to return to its original form, position, etc., after being bent, compressed, or stretched.

How to Calculate Modulus of Resilience at given Strain Energy?

Modulus of Resilience at given Strain Energy calculator uses Modulus of Resilience = Strain Energy in body/Volume of Body to calculate the Modulus of Resilience, Modulus of Resilience at given Strain Energy formula is defined as the equation used to find resilience in terms of strain energy and volume of the body. Modulus of Resilience is denoted by Ur symbol.

How to calculate Modulus of Resilience at given Strain Energy using this online calculator? To use this online calculator for Modulus of Resilience at given Strain Energy, enter Strain Energy in body (Ubody) & Volume of Body (VT) and hit the calculate button. Here is how the Modulus of Resilience at given Strain Energy calculation can be explained with given input values -> 1E-10 = 6400/63.

FAQ

What is Modulus of Resilience at given Strain Energy?
Modulus of Resilience at given Strain Energy formula is defined as the equation used to find resilience in terms of strain energy and volume of the body and is represented as Ur = Ubody/VT or Modulus of Resilience = Strain Energy in body/Volume of Body. Strain Energy in body is defined as the energy stored in a body due to deformation & Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.
How to calculate Modulus of Resilience at given Strain Energy?
Modulus of Resilience at given Strain Energy formula is defined as the equation used to find resilience in terms of strain energy and volume of the body is calculated using Modulus of Resilience = Strain Energy in body/Volume of Body. To calculate Modulus of Resilience at given Strain Energy, you need Strain Energy in body (Ubody) & Volume of Body (VT). With our tool, you need to enter the respective value for Strain Energy in body & Volume of Body 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 Resilience?
In this formula, Modulus of Resilience uses Strain Energy in body & Volume of Body. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Modulus of Resilience = Stress induced^2/(2*Modulus of Elasticity Of Bar)
  • Modulus of Resilience = (Stress at Elastic Limit^2*Volume of Body)/(2*Modulus of Elasticity Of Bar)
  • Modulus of Resilience = Proof Resilience/Volume of Body
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