How to Calculate and Solve for Linear Elastic Modulus of Resilience | Mechanical Properties
Last Updated on January 5, 2023
The image above represents linear elastic modulus of resilience.
To compute for linear elastic modulus of resilience, two essential parameters are needed and these parameters are Stress at y-direction (σy) and Strain at y-direction (εy).
The formula for calculating linear elastic modulus of resilience:
Ur = 0.5σyεy
Where:
Ur = Linear Elastic Modulus of Resilience
σy = Stress at y-direction
εy = Strain at y-direction
Given an example;
Find the linear elastic modulus of resilience when the stress at y-direction is 33 and the strain at y-direction is 11.
This implies that;
σy = Stress at y-direction = 33
εy = Strain at y-direction = 11
Ur = 0.5σyεy
Ur = 0.5(33)(11)
Ur = 0.5(363)
Ur = 181.5
Therefore, the linear elastic modulus of resilience is 181.5 Pa.
Calculating the Stress at y-direction when the Linear Elastic Modulus of Resilience and the Strain at y-direction is Given.
σy = Ur / 0.5εy
Where:
σy = Stress at y-direction
Ur = Linear Elastic Modulus of Resilience
εy = Strain at y-direction
Let’s solve an example;
Find the stress at y-direction when the linear elastic modulus of resilience is 40 and the strain at y-direction is 20.
This implies that;
Ur = Linear Elastic Modulus of Resilience = 40
εy = Strain at y-direction = 20
σy = Ur / 0.5εy
σy = 40 / 0.5(20)
σy = 40 / 10
σy = 4
Therefore, the stress at y-direction is 4.
Calculating the Strain at y-direction when the Linear Elastic Modulus of Resilience and the Stress at y-direction is Given.
εy = Ur / 0.5σy
Where:
εy = Strain at y-direction
Ur = Linear Elastic Modulus of Resilience
σy = Stress at y-direction
Let’s solve an example;
Find the strain at y-direction when the linear elastic modulus of resilience is 24 and the stress at y-direction is 12.
This implies that;
Ur = Linear Elastic Modulus of Resilience = 24
σy = Stress at y-direction = 12
εy = Ur / 0.5σy
εy = 24 / 0.5(12)
εy = 24 / 6
εy = 4
Therefore, the strain at y-direction is 4.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the linear elastic modulus of resilience.
To get the answer and workings of the linear elastic modulus of resilience using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
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Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Mechanical Properties under Materials and Metallurgical
Now, Click on Linear Elastic Modulus of Resilience under Mechanical Properties
The screenshot below displays the page or activity to enter your values, to get the answer for the linear elastic modulus of resilience according to the respective parameter which is the Stress at y-direction (σy) and Strain at y-direction (εy).
Now, enter the values appropriately and accordingly for the parameters as required by the Stress at y-direction (σy) is 33 and Strain at y-direction (εy) is 11.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the linear elastic modulus of resilience and presents the formula, workings and steps too.
