The randomly oriented composite modulus of elasticity is illustrated by the image below. To calculate randomly oriented composite modulus of elasticity, five essential parameters are needed and these parameters are Fibre Efficiency Parameter (K), Elastic Modulus of the Fibre (Ef), Elastic Modulus of the Matrix (Em), Volume Fraction of the Fibre (Vf) and Volume Fraction of the Matrix (Vm).
The formula for calculating randomly oriented composite modulus of elasticity:
E = KEfVf + EmVm
Where:
E = Randomly Oriented Composite Modulus of Elasticity
K = Fibre Efficiency Parameter
Ef = Elastic Modulus of the Fibre
Em = Elastic Modulus of the Matrix
Vf = Volume Fraction of the Fibre
Vm = Volume Fraction of the Matrix
Let’s solve an example;
Find the randomly oriented composite modulus of elasticity when the fibre efficiency parameter is 14, the elastic modulus of the fibre is 10, the elastic modulus of the matrix is 16, the volume fraction of the fibre is 12 and the volume fraction of the matrix is 8.
This implies that;
K = Fibre Efficiency Parameter = 14
Ef = Elastic Modulus of the Fibre = 10
Em = Elastic Modulus of the Matrix = 16
Vf = Volume Fraction of the Fibre = 12
Vm = Volume Fraction of the Matrix = 8
E = KEfVf + EmVm
E = (14)(10)(12) + (16)(8)
Then, E = (1680) + (128)
E = 1808
Therefore, the randomly oriented composite modulus of elasticity is 1808 Pa.
Read more:Â How to Calculate and Solve for Ratio of Load of Fibre to Matrix | Composites
How to Calculate Randomly Oriented Composite Modulus of Elasticity With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the randomly oriented composite modulus of elasticity.
To get the answer and workings of the randomly oriented composite modulus of elasticity using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
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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 Composites under Materials and Metallurgical
Now, Click on Randomly Oriented Composite Modulus of Elasticity under Composites
The screenshot below displays the page or activity to enter your values, to get the answer for the randomly oriented composite modulus of elasticity according to the respective parameter which is the Fibre Efficiency Parameter (K), Elastic Modulus of the Fibre (Ef), Elastic Modulus of the Matrix (Em), Volume Fraction of the Fibre (Vf) and Volume Fraction of the Matrix (Vm).
Now, enter the values appropriately and accordingly for the parameters as required by the Fibre Efficiency Parameter (K) is 14, Elastic Modulus of the Fibre (Ef) is 10, Elastic Modulus of the Matrix (Em) is 16, Volume Fraction of the Fibre (Vf) is 12 and Volume Fraction of the Matrix (Vm) is 8.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia can calculate randomly oriented composite modulus of elasticity and presents the formula, workings and steps too.
