12. A copper bar 16mm dia is heated
through 50 Celsius if 50% of its
elongation is prevented find
deformation, take liner expansion
18*10^-6, L=1200mm
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Answer:
Let l
1
be the length of Cu and that of steel be l
2
.
As the difference in their lengths is constant, thus
(l
2
−l
1
)=(l
2
+l
2
α
2
−l
1
−l
2
α
1
)ΔT
l
2
α
2
−l
1
α
1
=0
l
1
l
2
=
α
2
α
1
l
1
l
2
−1=
α
2
α
1
−1
l
1
l
2
−l
1
=
α
2
α
1
−α
2
l
1
10
=
1.2
0.4
l
1
=30cm
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