Determine maximum stress and modulus of elasticity, Mechanical Engineering

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

Posted Date: 1/22/2013 1:41:04 AM | Location : United States







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