More Questions from Structural Design Specifications

Definition of characteristic strength of concrete The characteristic strength is defined as the value below which not more than what percentage of test results are expected to fall for a specified size specimen at 28 days?

Civil Engineering Structural Design Specifications Difficulty: Easy
Choose an option
  • A
    2%
  • B
    3%
  • C
    4%
  • D
    5%
  • E
    10%

Answer

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:

  • Standard 28-day test on 150 mm cubes is considered.
  • Normal quality control and sampling frequency are in place.
  • Statistical basis uses the lower tail of the strength distribution.

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:

1) Recognize fck as a 5% fractile (5th percentile) of strength distribution.2) Translate definition into acceptance: at least 95% of results should be at or above fck.3) Select the percentage associated with the lower tail: 5%.

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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