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Description / Abstract:
Introduction
This guide provides an introduction to the evaluation of
concrete strength test results. Procedures described are applicable
to the compressive strength test results required by ACI 301, ACI
318, and similar specifications and codes. Statistical concepts
described are applicable for the analysis of other common concrete
test results, including flexural strength, slump, air content,
density, modulus of elasticity, and other tests used for evaluating
concrete and ingredient materials. This guide assumes that the
concrete test results conform to a normal distribution.
Most construction projects in the United States and Canada
require routine sampling of concrete and fabrication of standard
molded cylinders. These cylinders are usually cast from a concrete
sample taken from the discharge of a truck or a batch of concrete.
They are molded and cured following the standard procedures of ASTM
C31/C31M and tested as required by ASTM C39/C39M. If the concrete
is so prepared, cured, and tested, the results are the compressive
strength of the concrete cured under controlled conditions, not the
in-place strength of the concrete within the structure. It is
expected that, given the uniformity of the curing conditions, these
cylinders would have essentially the same strength, thereby
indicating concrete with consistent properties. It is these
cylinders that are used for acceptance purposes.
Inevitably, strength test results vary. Variations in the
measured strength of concrete originate from two sources:
• Batch-to-batch variations can result from changes to the
ingredients or proportions of ingredients, water-cementitious
material ratio (w/cm), mixing, transporting, placing, sampling of
the batch, consolidating, and curing; and
• Within-batch variations, also called within-test variations,
are primarily due to differences in sampling of the batch sample,
specimen preparation, curing, and testing procedures.
There are differences in individual mixer batches between the
front and rear of the mixer, as recognized by ASTM C94/C94M. For
this reason, ACI Field Level I Technicians are trained to make
composite samples from the central portions of loads.
Conclusions regarding concrete compressive strength can be
derived from a series of tests. The characteristics of concrete
strength can be accurately estimated when an adequate number of
tests are conducted in accordance with standard practices and test
methods.
Statistical procedures provide valuable tools when evaluating
strength test results. Information derived from them is also
valuable in refining design criteria and specifications. This guide
discusses variations in concrete strength and presents statistical
procedures useful for interpreting them with respect to specified
testing and acceptance criteria.
For the statistical procedures described in this guide to be
valid, data should be derived from samples obtained through a
random sampling plan. Random sampling is when each volume of
concrete has an equal chance of being selected. To ensure this
condition, selection should be made by using an objective
mechanism, such as a table of random numbers. When sample batches
are selected on the basis of the sampler's judgment, biases are
likely to be introduced that will invalidate the analysis. Natrella
(1963), Box et al. (2005), and ASTM D3665 discuss the need for
random sampling, and provide a useful short table of random
numbers.