Volume fraction of fibres, Mechanical Engineering

Volume fraction of fibres, Mechanical Engineering

Volume fraction of fibres, Mechanical Engineering

Volume fraction of fibres:

The epoxy material is prepared to be stressed to its full strength. What must be volume fraction of fibres?

Solution

Here

σ′ = 1200 MPa, σ ′m= 80 MPa,  E f / Em = 24, x = 0.25

∴          0.25 =  1200 – 80 + V f (1 – 24) 80 /1200 + 80 (1 – 24)

                       =1120 + (- 1840) V f/- 640

∴          V          = 640 × 0.25 – 1120 /- 1840   = 960 /1840  = 0.52