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Statistical
Quality
Control
J.V. Shalom Judit
ADVANCED
CONCRETE
TECHNOLOGY
Introduction
Concrete like most other construction processes, have
certain amount of variability both in materials as well as in
constructional methods. This results in variation of strength from
batch to batch and also within the batch. It becomes very difficult
to assess the strength of the final product. It is not possible to
have a large number of destructive tests for evaluating the
strength of the end products and as such we have to resort to
sample tests. It will be very costly to have very rigid criteria to
reject the structure on the basis of a single or a few standard
samples. The basis of acceptance of a sample is that a
reasonable control of concrete work can be provided, by ensuring
that the probability of test result falling below the design strength is
not more than a specified tolerance level.
Aim of the
Statistical
Quality
Control
The aim of quality control is to limit the variability as much as
practicable. Statistical quality control method provides a scientific
approach to the concrete designer to understand the realistic variability
of the materials so as to lay down design specifications with proper
tolerance to cater for unavoidable variations. The acceptance criteria
are based on statistical evaluation of the test result of samples taken at
random during execution. By devising a proper sampling plan it is
possible to ensure a certain quality at a specified risk. Thus the method
provides a scientific basis of acceptance which is not only realistic but
also restrictive as required by the design requirements for the concrete
construction.
Statistical
Quality
Control of
Concrete
The quality of concrete will be of immense value for large contracts
where the specifications insist on certain minimum requirements. The efforts
put in will be more than repaid by the resulting savings in the overall concreting
operations. The compressive strength test cubes from random sampling of a
mix, exhibit variations, which are inherent in the various operations involved in
the making and testing of concrete. If a number of cube test results are plotted
on histogram, the results are found so follow a bell shaped curve known as
“Normal Distribution Curve”. The results are said to follow a normal distribution
curve if they are equally spaced about the mean value and if the largest number
of the cubes have a strength closer to the mean value, and very few number of
results with much greater or less value than the mean value. However, some
divergence from the smooth curve can be expected, particularly if the number
of results available is relatively small.
Statistical
Quality
Control of
Concrete
The arithmetic mean or the average value of the number of
test result gives no indication of the extent of variation of strength.
However, this can be ascertained by relating the individual strength
to the mean strength and determining the variation from the mean
with the help of the properties of the normal distribution curve. Fig
1 show the histogram and the normal distribution curve
respectively.
The
histogram
and the
normal
distribution
curve
Thank you

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Statistical quality control

  • 2. Introduction Concrete like most other construction processes, have certain amount of variability both in materials as well as in constructional methods. This results in variation of strength from batch to batch and also within the batch. It becomes very difficult to assess the strength of the final product. It is not possible to have a large number of destructive tests for evaluating the strength of the end products and as such we have to resort to sample tests. It will be very costly to have very rigid criteria to reject the structure on the basis of a single or a few standard samples. The basis of acceptance of a sample is that a reasonable control of concrete work can be provided, by ensuring that the probability of test result falling below the design strength is not more than a specified tolerance level.
  • 3. Aim of the Statistical Quality Control The aim of quality control is to limit the variability as much as practicable. Statistical quality control method provides a scientific approach to the concrete designer to understand the realistic variability of the materials so as to lay down design specifications with proper tolerance to cater for unavoidable variations. The acceptance criteria are based on statistical evaluation of the test result of samples taken at random during execution. By devising a proper sampling plan it is possible to ensure a certain quality at a specified risk. Thus the method provides a scientific basis of acceptance which is not only realistic but also restrictive as required by the design requirements for the concrete construction.
  • 4. Statistical Quality Control of Concrete The quality of concrete will be of immense value for large contracts where the specifications insist on certain minimum requirements. The efforts put in will be more than repaid by the resulting savings in the overall concreting operations. The compressive strength test cubes from random sampling of a mix, exhibit variations, which are inherent in the various operations involved in the making and testing of concrete. If a number of cube test results are plotted on histogram, the results are found so follow a bell shaped curve known as “Normal Distribution Curve”. The results are said to follow a normal distribution curve if they are equally spaced about the mean value and if the largest number of the cubes have a strength closer to the mean value, and very few number of results with much greater or less value than the mean value. However, some divergence from the smooth curve can be expected, particularly if the number of results available is relatively small.
  • 5. Statistical Quality Control of Concrete The arithmetic mean or the average value of the number of test result gives no indication of the extent of variation of strength. However, this can be ascertained by relating the individual strength to the mean strength and determining the variation from the mean with the help of the properties of the normal distribution curve. Fig 1 show the histogram and the normal distribution curve respectively.