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A three hinge parabolic arch is subjected to uniformly distributed load as shown in figure below
If there is an increase in temperature by 10°C, then the final change in rise of crown will be?
Take coefficient of thermal expansion = 10 × 10-6 per ° C.
  • a)
    1.5 mm (increase)
  • b)
    1.5 mm (decrease)
  • c)
    6 mm (increase)
  • d)
    6 mm (decrease)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A three hinge parabolic arch is subjected to uniformly distributed loa...
Let l = length of the parabolic three hinge arch
Let T be increase by T°C.
Then, rise of crown will increased by
l = 12 m
h = 3 m
∝ = 10 × 10-6 per °C
T = 10°C
Δh = 1.5 × 10-3 m
Δh = 1.5 mm
Final rise of crown = 3000 + 1.5
= 3001.5 mm
Initial rise of crown = 3000 mm
Change = 3001.5 – 3000 = 1.5 mm.
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A three hinge parabolic arch is subjected to uniformly distributed load as shown in figure belowIf there is an increase in temperature by 10°C, then the final change in rise of crown will be?Take coefficient of thermal expansion = 10 × 10-6per ° C.a)1.5 mm (increase)b)1.5 mm (decrease)c)6 mm (increase)d)6 mm (decrease)Correct answer is option 'A'. Can you explain this answer?
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