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An 85 mm long, 41 mm diameter cylindrical specimen of unfractured quartzitič sandstone failed at a uniaxial load of 87.5 kN. Calculate its uniaxial compressive strength (in MPa). Geologists advise that the same quartzitic sandstone exposed in the walls of a slope is in a relatively undisturbed state with an estimated Rock Mass Rating of 75. Numerical modelling of the fully-developed stope indicates that in a particular region the hanging-wall rock will be subjected to a uniaxial compressive stress of 19 MPa. Apply the Hock-Brown empirical rock mass strength criterion to determine whether there is likely to be local failure of the rock in this region of the slope. If you find that local failure is likely to occur, calculate the minimum support pressure that would be required to stabilize the hanging wall of the slope in this region. (20%)

An 85 mm long, 41 mm diameter cylindrical specimen of unfractured quartzitič sandstone failed at a uniaxial load of 87.5 kN. Calculate its uniaxial compressive strength (in MPa). Geologists advise that the same quartzitic sandstone exposed in the walls of a slope is in a relatively undisturbed state with an estimated Rock Mass Rating of 75. Numerical modelling of the fully-developed stope indicates that in a particular region the hanging-wall rock will be subjected to a uniaxial compressive stress of 19 MPa. Apply the Hock-Brown empirical rock mass strength criterion to determine whether there is likely to be local failure of the rock in this region of the slope. If you find that local failure is likely to occur, calculate the minimum support pressure that would be required to stabilize the hanging wall of the slope in this region. (20%)

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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An 85 mm long, 41 mm diameter cylindrical specimen of unfractured quartzitic sandstone failed at a uniaxial load of 87.5 kN. Calculate its uniaxial compressive strength (in MPa). Geologists advise that the same quartzitic sandstone exposed in the walls of a slope is in a relatively undisturbed state with an estimated Rock Mass Rating of 75. Numerical modelling of the fully-developed stope indicates that in a particular region the hanging-wall rock will be subjected to a uniaxial compressive stress of 19 MPa. Apply the Hock-Brown empirical rock mass strength criterion to determine whether there is likely to be local failure of the rock in this region of the slope. If you find that local failure is likely to occur, calculate the minimum support pressure that would be required to stabilize the hanging wall of the slope in this region. (20%)
Transcribed Image Text:An 85 mm long, 41 mm diameter cylindrical specimen of unfractured quartzitic sandstone failed at a uniaxial load of 87.5 kN. Calculate its uniaxial compressive strength (in MPa). Geologists advise that the same quartzitic sandstone exposed in the walls of a slope is in a relatively undisturbed state with an estimated Rock Mass Rating of 75. Numerical modelling of the fully-developed stope indicates that in a particular region the hanging-wall rock will be subjected to a uniaxial compressive stress of 19 MPa. Apply the Hock-Brown empirical rock mass strength criterion to determine whether there is likely to be local failure of the rock in this region of the slope. If you find that local failure is likely to occur, calculate the minimum support pressure that would be required to stabilize the hanging wall of the slope in this region. (20%)
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