16. E. Hoek and E. T. Brown (1980) introduced the empirical criterion of failure for rocks: 01.p qu where m and s are constants; = qu 1/2 - (m 0 ³ + s)' qu rock mass qu rock substance/ (a) Compare this with Equation 3.15 for the case m = 0 and s = 1. (b) Hoek and Brown, in studying many sets of data, found the following approximate values: m = 7 for carbonate rocks, m = 10 for argillaceous rocks, m= 15 for sandstone and quartzite, m = 17 for volcanic rocks, and m = 25 for granitic and other intrusive rocks. Compare the peak compressive strengths as a function of confining pressure for a marble, a rhyolite, and a granite, all having qu = 100 MPa. What is the physical meaning of parameter m?

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Exercises at the end of the third chapter of Goodman's book Introduction to Rock Mechanics
σ 1,2
(3.15)
qu
The constants N and M will be determined by fitting a curve to the family of
points
=1
σy
qu
*
1.p
qu
Transcribed Image Text:σ 1,2 (3.15) qu The constants N and M will be determined by fitting a curve to the family of points =1 σy qu * 1.p qu
16. E. Hoek and E. T. Brown (1980) introduced the empirical criterion of
failure for rocks:
01.p = + (m
qu
qu
where m and s are constants;
1/2
2011 + s)¹²
qu rock mass
S= qu rock substance/
(a) Compare this with Equation 3.15 for the case m = 0 and s = 1.
(b) Hoek and Brown, in studying many sets of data, found the following
approximate values: m = 7 for carbonate rocks, m = 10 for argillaceous
rocks, m 15 for sandstone and quartzite, m = 17 for volcanic rocks,
and m = 25 for granitic and other intrusive rocks. Compare the peak
compressive strengths as a function of confining pressure for a marble, a
rhyolite, and a granite, all having qu = 100 MPa. What is the physical
meaning of parameter m?
Transcribed Image Text:16. E. Hoek and E. T. Brown (1980) introduced the empirical criterion of failure for rocks: 01.p = + (m qu qu where m and s are constants; 1/2 2011 + s)¹² qu rock mass S= qu rock substance/ (a) Compare this with Equation 3.15 for the case m = 0 and s = 1. (b) Hoek and Brown, in studying many sets of data, found the following approximate values: m = 7 for carbonate rocks, m = 10 for argillaceous rocks, m 15 for sandstone and quartzite, m = 17 for volcanic rocks, and m = 25 for granitic and other intrusive rocks. Compare the peak compressive strengths as a function of confining pressure for a marble, a rhyolite, and a granite, all having qu = 100 MPa. What is the physical meaning of parameter m?
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