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

Answer:

Length required will be 0.004 m

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 = $0.74\times 106{-3}m$

x represent length of the fiber at each end

We know that efficiency is given by

$\eta =\frac{l-2x}{l}$

So $0.63=\frac{l-2\times 0.74\times 10^{-3}}{l}$

$0.63l=l-0.00148$

$0.37l=0.00148$

l= 0.004 m