Table 3.

Empirical equations derived in this study.

Equation	Rock type	Coefficient of determination (%)
${\mathrm{\sigma }}_{\mathrm{TR}}=0.058{\mathrm{UCS}}^{1.578}$	Igneous rocks	89
${\mathrm{\sigma }}_{\mathrm{TR}}=1.361{\mathrm{UCS}}^{0.947}$	Sedimentary rocks	72
${\mathrm{\sigma }}_{\mathrm{TR}}=0.491{\mathrm{UCS}}^{1.140}$	Metamorphic rocks	68
${\mathrm{\sigma }}_{\mathrm{TR}}=3.911{\mathrm{mi}}^{1.5992}$	Igneous rocks	83
${\mathrm{\sigma }}_{\mathrm{TR}}=17.218{\mathrm{mi}}^{0.868}$	Sedimentary rocks	51
${\mathrm{\sigma }}_{\mathrm{TR}}=17.413{\mathrm{mi}}^{0.677}$	Metamorphic rocks	18