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Consider a unidirectional continuous fiber-reinforced composite with epoxy as the matrix with 55% by volume fiber.i. Calculate the longitudinal and transverse moduli when E-glass fiber is used.ii. Calculate the longitudinal and transverse moduli if carbon fibers are used instead of E-glass. Constants:Epoxy modulus = 2.41GPaE-glass fiber modulus = 72.5 GPaCarbon fiber modulus = 230 GPa

Respuesta :

Answer:

I)E= 40.95 GPa

II)E=5.29 GPa

Explanation:

I)

Given that

Eā‚ = 2.41 GPa Ā ,Vā‚=1-0.55 = 0.45

Eā‚‚ = 72.5 GPa Ā  ,Vā‚‚=0.55

Longitudinal moduli Ā given as ;

E= Eā‚Vā‚+Eā‚‚Vā‚‚

E= 2.41 x 0.45 + 72.5 x 0.55 GPa

E= 40.95 GPa

II)

Eā‚ = 2.41 GPa Ā ,Vā‚=1-0.55 = 0.45

Eā‚‚ =230 GPa Ā  ,Vā‚‚=0.55

Transverse moduli given as:

[tex]\dfrac{1}{E}=\dfrac{V_1}{E_1}+\dfrac{V_2}{E_2}[/tex]

[tex]\dfrac{1}{E}=\dfrac{0.45}{2.41}+\dfrac{0.55}{230}[/tex]

E=5.29 GPa

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