Statement (I): Thicker sections of casting take longer to solidify than thinner sections.

Statement (II): Thicker sections of casting carry residual stresses. 

This question was previously asked in
ESE Mechanical 2017 Official Paper
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  1. Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
  2. Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)
  3. Statement (I) is true but Statement (II) is false
  4. Statement (I) is false but Statement (II) is true

Answer (Detailed Solution Below)

Option 2 : Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)
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Detailed Solution

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Concept:

Time taken for solidification of casting is given by Chovrinov rule,

\(T = k{\left( {\frac{V}{A}} \right)^2}\)

Thicker sections take longer time for solidification because they have higher V/A. This creates the differential temperature gradient and residual stresses are developed during the solidification process due to the temperature gradients between different parts of casting or due to the mechanical constraints imposed by the mould during shrinkage of the cast metal.

Therefore both the statements are individually true, and statement (II) is not the correct explanation of statement (I). 

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