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Figure 10. Triaxial testing red sandstone discrete failure
Figure 11. Triaxial testing red sandstone multi state failure
It should be noted that shear and normal stress acting on any plane within sample. And they always lie on a Mohr’s circle (figure 12).
Figure 12. Mohr’s circle
According to figure 12 it can possible to find :
(6) | |
(7) |
where – radius of the Mohr’s circle;
– central point of the Mohr’s circle on axis;
Type of test and material | R | Area | № of sample | Axial load, kN | Axial stress - σ₁, MN/ | Confining stress - σ₃, MN/ | Confining stress, psi | Center of the Morh circle | |
White Sandstone | 0.019 | 0.00113 | w6 | 187.907 | 6.895 | 90.506 | 97.401 | ||
w7 | 281.419 | 20.684 | 130.367 | 151.052 | |||||
w8 | 399.5 | 352.436 | 34.474 | 158.981 | 193.455 | ||||
Red Stone | 0.019 | 0.00113 | 52.5 | 46.315 | 6.895 | 19.710 | 26.605 | ||
66.164 | 13.790 | 26.187 | 39.977 | ||||||
102.5 | 90.425 | 27.579 | 31.423 | 59.002 | |||||
Red Stone (Multi state test) | 0.019 | 0.00113 | 44.9918 | 6.9 | 19.0459 | 25.9459 | |||
65.28221 | 13.8 | 25.74111 | 39.54111 | ||||||
77.6329 | 20.7 | 28.46645 | 49.16645 |
Table 4. Results of triaxial testing analysis
It should be noted that relationship between shear and normal stress must generate a straight line that touches each of the Mohr’s circles at only one point. As a result it can possible to determinate cohesion – C and internal fraction angle – tan φ (figure 13).
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Triaxial strength testing | | | Figure 21. Signal of S wave |