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Determine maximum stress and modulus of elasticity:
A composite of glass fibres and epoxy has all of fibres laid along the length and is needed to carry a stress of 12 MPa. The limiting stress carried by fibre & epoxy are respectively, σf = 2400 MPa, and σm = 80 MPa. The volume ratios and modulii of elasticity are explained below :
V f = 0.7, Vm = 0.3, E f = 72 MPa, Em = 3 MPa
Determine maximum stress the composite might carry in the direction of fibres & the modulus of elasticity.
Solution
The stress that composite can carry
σc = V f σ f + Vm σm
= 0.7 × 2400 + 0.3 × 80
= 1680 + 24 = 1704 MPa
Modulus of elasticity of composite
E = V f E f + Vm Em
= 0.7 × 72 + 0.3 × 3
= 50.4 + 0.9 = 51.3 MPa
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