Full Question
Calculate the modulus of elasticity of the composite
I. In the longitudinal direction of the glass fibre
2. In the perpendicular direction of glass fibre
Answer:
1. 27.5876 GPa
2. 5.725 GPa
Explanation:
Given
Dimensions of the fibreglass is given by: 1.00 cm x 25.00 cm x 200.00 cm
Volume = 1 * 25 * 200 = 5000cm³
P1 = The volume fraction of the E-glass is 31%
P2 = The remainder 69% is Vinyl Ester
Volume of Vinyl Ester= 69% * 5000cm³ = 3450cm³
I. In the longitudinal direction of the glass fibre
Where
Modulus of elasticity of glass, E1 = 80 Gpa
Modulus of elasticity of vinyl ester, E2 = 4.04 Gpa
Modulus of elasticity = E1P1 + E2P2
Modulus of elasticity of vinyl esters = 31% * 80 + 69% * 4.04
Modulus = 24.8 + 2.7876
Modulus = 27.5876 GPa
ii. In the perpendicular direction of glass fibre
This is solved by
E1.E2/(P1.E2 + P2.E1)
= (80 * 4.04)/(31% * 4.04 + 69% * 80)
= 323.2/(1.2524 + 55.2)
= 5.725177317527687
= 5.725 GPa
