The elastic modulus on transverse direction is illustrated by the image below.

To compute for elastic modulus on transverse direction, three essential parameters are needed and these parameters are **Elastic Modulus of the Fibre (E _{f}), Elastic Modulus of the Matrix (E_{m})** and

**Volume Fraction of the Fibre (V**

_{f}).The formula for calculating elastic modulus on transverse direction:

E_{c} = ^{EmEf}/_{(1 – Vf)Ef + VfEm}

Where:

E_{c} = Elastic Modulus on Transverse Direction

E_{m} = Elastic Modulus of the Fibre

E_{f} = Elastic Modulus of the Matrix

V_{f} = 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;

E_{m} = Elastic Modulus of the Fibre = 4

E_{f} = Elastic Modulus of the Matrix = 8

V_{f} = Volume Fraction of the Fibre = 6

E_{c} = ^{EmEf}/_{(1 – Vf)Ef + VfEm}

E_{c} = ^{(4)(8)}/_{(1 – 6)8 + (6)(4)}

E_{c} = ^{(32)}/_{(-5)8 + (24)}

E_{c} = ^{(32)}/_{(-40) + (24)}

E_{c} = ^{(32)}/_{(-16)}

E_{c} = -2

Therefore, the **elastic modulus on transverse direction **is **-2 Pa.**

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