Multiple choice

Consider a bar of diameter ‘D’ embedded in a large concrete block as shown in the adjoining figure, with a pull out force P being applied. Let $\sigma_b$ and $\sigma_{st}$ be the bond strength (between the bar and concrete) and the tensile strength of the bar respectively. If the block is held in position and it is assumed that the material of the block does not fail, which of the following options represents the maximum value of P?

  1. Maximum of $\Big(\frac{\pi}{4}D^2\sigma_b\Big) and (\pi DL \sigma_{st})$
  2. Maximum of $\Big(\frac{\pi}{4}D^2\sigma_{st}\Big) and (\pi DL \sigma_b)$
  3. Minimum of $\Big(\frac{\pi}{4}D^2\sigma_{st}\Big) and (\pi DL \sigma_b)$
  4. Minimum of $\Big(\frac{\pi}{4}D^2\sigma_b\Big) and (\pi DL \sigma_{st})$
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B Correct answer
Explanation

 

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