What is the correct compression stress limit at transfer?

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When evaluating a question about the correct compression stress limit at transfer, the first step is to interpret what the term 'transfer' refers to in concrete member design, typically the stage where prestressing force is transferred from tendons to the surrounding concrete or the point where bond effects are evaluated. With that context, examine each option one by one.
Option 1: 0.6 f_ci′
This option uses f_ci′, which usually denotes the concrete cylinder compressive strength at the transfer or interface condition, sometimes written as f_ci′ in certain design codes or notes. The multiplier 0.6 suggests a relatively high allowable compression stress, potentially reflecting a bound used in some transfer or bond-related expressions to ensure adequate stress distribution without crushing the concrete. One potential concern is that the prime notation (′) is context-specific; in many codes, the transfer stress limit is tied to a specific value like 0.45 or 0.25 of f_c′ unless a more detailed derivation applies. If f_ci′ is indeed the intended parameter in the source material, 0.6 could be a plausible factor.
Option 2: 0.6 f_c′
Here, the limit uses f_c′, the standard concrete compressive strength for cylinders at 28 days (or the code-specified characteristic strength). The multiplier 0.6 again implies a fairly high allowable stress at transfer. This form is common in some general guidance, but many transfer-related limits are expressed specifically with f_ci′ to reflect in-situ or nonstandard conditions at the transfer surface. If the reference material distinguishes f_ci′ from f_c′ for transfer considerations, using f_c′ might be too large or not aligned with the intended transfer scenario.
Option 3: 0.45 f_ci′
This alternative uses the same i-subscripted strength as option 1 but with a lower multiplier, 0.45, which represents a more conservative limit. In many design contexts, transfer or interface stresses are kept well below the concrete crushing strength to avoid cracking or crushing at the transfer region. A 0.45 factor would be consistent with conservative design practice, especially in early transfer stages or with materials/systems that warrant a lower bound on permissible stresses. If the source material aims for a conservative transfer limit, this could be the intended value.
Option 4: 0.25 f_ci′
This is a notably lower limit, using a quarter of f_ci′. A 0.25 multiplier strongly emphasizes keeping the transfer stress well under the material strength, which aligns with very conservative design goals or very cautious transfer conditions. However, such a low limit could be impractically restrictive in typical transfer scenarios unless specific limitations (e.g., high crack risk, fraying of prestressing strands, or special coating conditions) justify a tighter bound. If the design context requires maximum protection against cracking or crushing at transfer, this option could be relevant.
In summary, each option reflects a different level of conservatism and a different material parameter (f_ci′ vs f_c′). The exact correct choice hinges on the design code or the specific textbook/handbook convention being used for transfer stress limits. If the source uses f_ci′ to denote the transfer-related concrete strength explicitly, options 1 or 3 would be the primary contenders, with 3 offering a more conservative limit and 1 a more permissive one. If the source intends to use f_c′ without the subscript i for transfer, option 2 could align with that convention, though this is less common for transfer-specific expressions. If a particularly cautious design is required, option 4 would be the extreme conservative stance.
Note: A precise determination requires consulting the exact code clause or the figure/table from which these forms were drawn, since the notational conventions (f_ci′ vs f_c′) and the recommended multipliers vary between references.

STRCTENG 303 Quiz No 6

What is the correct compression stress limit at transfer?

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