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Per §7.2 and Equation 7.1, Abram's law expresses the 28-day compressive strength S of concrete primarily as a function of the water-cement ratio w/c via:
A{'text': 'S = K1 + K2 multiplied by the value (w/c)', 'label': 'A'}
B{'text': 'S = K times exp negative of (w/c)', 'label': 'B'}
C{'text': 'S = K times one-plus-(w/c) all squared', 'label': 'C'}
D{'text': 'S = K1 divided by K2 raised to (w/c)', 'label': 'D'}
Answer & Solution
Correct answer: D. {'text': 'S = K1 divided by K2 raised to (w/c)', 'label': 'D'}
1. §7.2 gives Abram's law in Equation 7.1 as: S = K1 / K2^(w/c), where K1, K2 are empirical constants, w/c is the water/cement ratio and S is the 28-day compressive strength.
2. The law assumes full compaction (about 1 percent entrapped air); Feret's formula extends it to include the air void.
_Source: IGNOU ET-522 Block-2 Unit-7 Strength of Concrete, §7.2 and Eq. 7.1, p. 42_
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