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For the splitting test on a cube of side a using a semi-cylindrical loading piece, the splitting tensile strength is given by:
Answer & Solution
Correct answer: A.
1. In a cube split test, only the inscribed cylinder of diameter a within the cube resists the load.
2. Substituting D = a and L = a in the cylinder formula sigma_t = 2P / (pi L D), one gets sigma_t = 2P / (pi a^2).
3. This is the closed form for cube splitting tensile strength.
4. The result equals the cylinder split result for an inscribed cylinder of equal diameter.
5. The other choices misstate either the denominator power or the numerator.
_Source: IGNOU ET-522 Concrete Technology, Block 2 Unit 9 "Testing of Concrete"._
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