# How to Calculate and Solve for Elastic Modulus on Transverse Direction | Composites

The elastic modulus on transverse direction is illustrated by the image below. To calculate elastic modulus on transverse direction, three essential parameters are needed and these parameters are Elastic Modulus of the Fibre (Ef), Elastic Modulus of the Matrix (Em) and Volume Fraction of the Fibre (Vf).

### The formula for calculating elastic modulus on transverse direction:

EcÂ =Â EmEf/(1 – Vf)EfÂ + VfEm

Where:

EcÂ = Elastic Modulus on Transverse Direction
EmÂ = Elastic Modulus of the Fibre
And then, EfÂ = Elastic Modulus of the Matrix
VfÂ = Volume Fraction of the Fibre

Given an example;
Find the elastic modulus on transverse direction when the elastic modulus of the fibre is 4, the elastic modulus of the matrix is 8 and the volume fraction of the fibre is 6.

This implies that;

Em = Elastic Modulus of the Fibre = 4
Ef = Elastic Modulus of the Matrix = 8
Vf = Volume Fraction of the Fibre = 6

EcÂ =Â EmEf/(1 – Vf)EfÂ + VfEm
That is, EcÂ =Â (4)(8)/(1 – 6)8 + (6)(4)
EcÂ =Â (32)/(-5)8 + (24)
EcÂ =Â (32)/(-40) + (24)
So, EcÂ =Â (32)/(-16)
Ec = -2

Therefore, theÂ elastic modulus on transverse directionÂ isÂ -2 Pa.

### How to Calculate Elastic Modulus on Transverse Direction With Nickzom Calculator

Nickzom Calculator â€“Â The Calculator Encyclopedia is capable of calculating the elastic modulus on transverse direction.

To get the answer and workings of the elastic modulus on transverse direction using the Nickzom Calculator â€“ The Calculator Encyclopedia.Â First, you need to obtain the app.

You can get this app via any of these means:

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You can also try theÂ demoÂ version viaÂ https://www.nickzom.org/calculator

Apple (Paid)Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to theÂ Calculator Map,Â then click onÂ Materials and MetallurgicalÂ underÂ Engineering.

Now, Click on CompositesÂ underÂ Materials and Metallurgical

Now, Click on Elastic Modulus on Transverse DirectionÂ under Composites

The screenshot below displays the page or activity to enter your values, to get the answer for the elastic modulus on transverse direciton according to the respective parameter which is the Elastic Modulus of the Fibre (Ef), Elastic Modulus of the Matrix (Em) and Volume Fraction of the Fibre (Vf).

Now, enter the values appropriately and accordingly for the parameters as required by the Elastic Modulus of the Fibre (Ef) is 4, Elastic Modulus of the Matrix (Em)Â isÂ 8 and Volume Fraction of the Fibre (Vf) is 6.

Finally, Click on Calculate

As you can see fromÂ the screenshot above,Â Nickzom Calculatorâ€“ The Calculator Encyclopedia solves for the elastic modulus on transverse direction and presents the formula, workings and steps too.