Question

For a fiber-reinforced composite, the efficiency of reinforcement η is dependent on fiber length l according to where x represents the length of the fiber at each end that does not contribute to the load transfer. What length is required for a 0.63 efficiency of reinforcement, assuming that x is 0.74 mm?

Answer 1

Length required will be 0.004 m

Step-by-step explanation:

We have given efficiency of the reinforcement
`\eta =0.63`

We have to find the length required for the reinforcement

x is given x = 0.74 mm =
`0.74* 106{-3}m`

x represent length of the fiber at each end

We know that efficiency is given by

`\eta =(l-2x)/(l)`

So
`0.63=(l-2* 0.74* 10^(-3))/(l)`

`0.63l=l-0.00148`

`0.37l=0.00148`

l= 0.004 m