Civil Engineering Reference
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strength. Historical records are used to plot a strength-versus-water-cemen-
titious materials ratio curve, such as that seen in Figure 7.2. If historical data
are not available, three trial batches are made at different water-cementi-
tious materials ratios to establish a curve similar to Figure 7.2. Table 7.1 can
be used for estimating the water-cementitious materials ratios for the trial
mixes when no other data are available. The required average compressive
strength is used with the strength versus water-cementitious materials rela-
tionship to determine the water-cementitious materials ratio required for
the strength requirements of the project.
50
7
6
40
5
Non-air-entrained
30
4
3
Air-entrained
20
2
FIGURE 7.2 Example
trial mixture or field data
strength curves.
10
0.3
0.4
0.5
0.6
0.7
0.8
Water-cementitious materials ratio
T ABLE 7.1 Typical Relationship between Water-Cementitious
Materials Ratio and Compressive Strength of Concrete*
Water-Cementitious Materials Ratio by
Weight
Compressive Strength
Non-Air-Entrained
Air-Entrained
at 28 days, MPa (psi)**
Concrete
Concrete
48 (7000)
0.33
41 (6000)
0.41
0.32
35 (5000)
0.48
0.40
28 (4000)
0.57
0.48
21 (3000)
0.68
0.59
14 (2000)
0.82
0.74
*American Concrete Institute (ACI 211.1 and ACI 211.3)
**Strength is based on cylinders moist-cured 28 days in accordance with
ASTM C31 (AASHTO T23). Relationship assumes nominal maximum size
of aggregate about 19 to 25 mm (
3
4
to 1 in.).
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