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. 2022 Oct 10;12:16983. doi: 10.1038/s41598-022-21333-x

Table 7.

Empirical equations relating Q with rock mass properties.

Parameters Relationship References
Q Q
RMR RMR = 7lnQ + 36 Tugrul (1998)80
Cohesion (kPa) c = 5 × (RMR − 1) Bieniawski (1989)59,81
Internal friction angle φ (°) φ = 0.5RMR + 4.5 Bieniawski (1989)59,81
Young’s modulus E (GPa) E = 2 × RMR − 100 (RMR > 50) Bieniawski (1978)82, Serafim and Pereira (1983)83
E = 10(RMR − 10)/40 (RMR ≤ 50) Bieniawski (1978)82, Serafim and Pereira (1983)83