According to IS 1343: 2012, for the end zone in post-tensioned members, on the areas immediately behind external anchorages, the permissible unit bearing stress on the concrete, after accounting for loses due to the relaxation of steel, elastic shortening and seating of anchorages, shall NOT exceed:

(Where fci is the cube strength at transfer, Abr is the bearing area and Apun is the punching area.)

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  1. \(\rm 0.8f_{ci}\sqrt{\frac{A_{br}}{A_{pun}}}\) or 0.38 fck, whichever is smaller.
  2. \(\rm 0.58f_{ci}\sqrt{\frac{A_{br}}{A_{pun}}}\) or 0.85 fck, whichever is smaller.
  3. \(\rm 0.48f_{ci}\sqrt{\frac{A_{br}}{A_{pun}}}\) or 0.8 fck, whichever is smaller.
  4. \(\rm 0.40f_{ci}\sqrt{\frac{A_{br}}{A_{pun}}}\) or 0.45 fck, whichever is smaller. 

Answer (Detailed Solution Below)

Option 3 : \(\rm 0.48f_{ci}\sqrt{\frac{A_{br}}{A_{pun}}}\) or 0.8 fck, whichever is smaller.
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Detailed Solution

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Concept:

As per IS 1343:2012, Clause 19.6.2.1 (a), the permissible unit bearing stress on concrete in the end zone of post-tensioned members (areas immediately behind external anchorages), after accounting for losses due to relaxation of steel, elastic shortening, and seating of anchorages, shall NOT exceed:

\( 0.48f_{ci} \sqrt{\frac{A_{br}}{A_{pun}}} \) or \( 0.8f_{ck} \), whichever is smaller.

Where:
• \( f_{ci} \) = Cube strength at transfer
• \( f_{ck} \) = Characteristic compressive strength of concrete
• \( A_{br} \) = Bearing area
• \( A_{pun} \) = Punching area

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