Problem - 12.22: Two straight thin bars, one of brass
and the other of steel are joined together side by side by
short steel cross-pieces at 0°C, one cm long, the centre
lines of the bars being one cm apart. When heated to
100°C, the composite bar becomes bent into the arc of
a circle. Calculate the radius of this circle. a for brass
= 19 x 10 per ºC, and a for steel = 11 x10 per °C,
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1
Answer:
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Explanation:
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The length of steel strip after heating=L
0
steel
α
steel
ΔT
The length of brass strip after heating=L
0
brass
α
brass
ΔT
Hence the difference in length of the two=(L
0
)(α
brass
−α
steel
)ΔT
=10cm×(0.7×10
−5
/
∘
C)×30
∘
C
=2.1×10
−3
cm
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