Difficulty: Easy
Correct Answer: 5%
Explanation:
Introduction:
Concrete strength is inherently variable. The concept of characteristic strength provides a statistically meaningful design value that ensures a low probability of falling below a specified threshold. This question checks whether you know the conventional percentage associated with this definition.
Given Data / Assumptions:
Concept / Approach:
The characteristic strength fck is defined such that not more than 5% of test results are expected to be less than fck. This corresponds to a lower fractile of the population strength distribution and underpins acceptance criteria and mix design margins.
Step-by-Step Solution:
Verification / Alternative check:
Quality control formulas (mean target strength = fck + k * standard deviation) commonly use k near 1.65, which corresponds to the 5% fractile for a normal distribution.
Why Other Options Are Wrong:
2–4% do not match the conventional definition; 10% would be too lenient and reduce safety margins.
Common Pitfalls:
Confusing fck with average (mean) strength; forgetting that acceptance involves both individual and group criteria tied to variability.
Final Answer:
5%
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