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Two threaded bolts $A$ and $B$ of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt $A$ is $4$ times that of bolt $B$ and the mean diameter of bolt $A$ is $12$ $mm$, the mean diameter of bolt $B$ in $mm$ is

  1. $16$
  2. $24$
  3. $36$
  4. $48$
in Applied Mechanics and Design 1.4k points 4 7 17
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