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Two wires of same length and radius are ...

Two wires of same length and radius are joined end to end and loaded. The Young.s modulii of the materials of the two wires are `Y_(1) and Y_(2)`. If the combination behaves as a single wire them its Young.s modulus is

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`e=e_(1) +e_(2)" but " e=(F(2l))/(AY_(eq)), e_(1)=(Fl)/(AY_(1)), e_(2)=(Fl)/(AY_(2))`
`(F(2l))/(AY_(eq))=(Fl)/(AY_(1))+(Fl)/(AY_(2))`
`(2)/(Y_(eq))=(1)/(Y_(1))+(1)/(Y_(2)) rArr Y_(eq)=(2Y_(1)Y_(2))/(Y_(1)+Y_(2))`
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