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Two steel plates plates are soldered on...

Two steel plates plates are soldered on two sides of a copper plate .What tensions will arise in the plates if the temperature is increaased by `t^(@)C` ? All the plates have the same cross- sections the coefficents of expansion ofcopper and steel are `alpha_(c)and alpha_(s)` and thier Young 's modulus . are `Y_(c) andY_(s) `repectively Aera of rach interface +A.
[HInt : The net expansion (thermai + elastic ) is the same for the all the plates .THe tensile force on each steel plate is half the tensile force onthe cooper plate.]

Text Solution

Verified by Experts

The correct Answer is:
`F_(c)=(2AY_(c)Y_(s)(alpha_(c)-alpha_(s))t)/(2Y_(s)+Y_(c)),F_(s)=F_(c)//2`
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