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Splitting tensile strength of cylinder (400 kN)

Short answer

Splitting tensile strength f_sp = 2P/(pi L d). With P = 400 kN = 400000 N, L = 200 mm, d = 150 mm, f_sp = 2*400000/(pi*200*150) = 8.49 N/mm^2.

Calculate the splitting tensile strength of a concrete cylinder 200 mm ×\times 150 mm diameter under the standard splitting test, if the load shown by the testing machine is 400 kN.

Formula (IS 5816): fsp=2PπLdf_{sp} = \dfrac{2P}{\pi L d}

Given P=400P = 400 kN =400 000= 400\,000 N, length L=200L = 200 mm, diameter d=150d = 150 mm.

fsp=2×400000π×200×150=80000094247.8=8.49 N/mm2f_{sp} = \frac{2\times400000}{\pi\times200\times150} = \frac{800000}{94247.8} = 8.49\ \text{N/mm}^2

Answer: splitting tensile strength = 8.49 N/mm2^2 (MPa).

✓ Answer checked by Claude Sonnet 5.5

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