2020
DOI: 10.1155/2020/3407875
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Primary Investigation on Equivalent Anchoring Method of Jointed Rock Mass Tunnel and Its Engineering Application

Abstract: Rock bolts, one of the main support structures of the tunnel, can improve the stress state and mechanical properties of the surrounding rocks. The rock bolts are simulated by bar or beam elements in present numerical calculations for most 2D tunnel models. However, the methods of simulating rock bolt in three-dimensional models are rarely studied. Moreover, there are too many rock bolts in the long-span tunnel, which are hardly applied in the 3D numerical model. Therefore, an equivalent anchoring metho… Show more

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Cited by 3 publications
(2 citation statements)
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“…According to the Mohr Coulomb strength criterion, cohesion and internal friction angle are indicators that characterize the shear strength of rock mass shear strength. Under the anchoring influence, the equivalent cohesion c ’ is 37 : c=c+πrnormalb2σnormalt12+φπsinπ4+φ23snormallsnormalc, <math altimg="urn:x-wiley:20500505:media:ese31762:ese31762-math-0018" display="block" wiley:location="equation/ese31762-math-0018.png" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><mi>c</mi><mo accent="false">\unicode{x02032}</mo><mo>\unicode{x0003D}</mo><mi>c</mi><mo>\unicode{x0002B}</mo><mfrac><mrow><mi>\unicode{x003C0}</mi><msubsup><mi>r</mi><mi mathvariant="normal">b</mi><mn>2</mn></msubsup><msub><mi>\unicode{x003C3}</mi><mi mathvariant="normal">t</mi></msub><mfenced separators=""><mrow><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>\unicode{x0002B}</mo><mfrac><mi>\unicode{x003C6}</mi><mi mathvariant="normal">\unicode{x003C0}</mi></mfrac></mrow></mrow></mfenced><mi>sin</mi><mfenced separators=""><mrow><mrow><mfrac><mi mathvariant="normal">\unicode{x003C0}</mi><mn>4</mn></mfrac><mo>\unicode{x0002B}</mo><mfrac><mi>\unicode{x003C6}</mi><mn>2</mn></mfrac></mrow></mrow></mfenced></mrow><mrow><msqrt><mn>3</mn></msqrt><msub><mi>s</mi><mi mathvariant="normal">l</mi></msub><msub><mi>s</mi><mi mathvariant="normal">c</mi></msub></mrow></mfrac><mo>,</mo></mrow></mrow></math>the equivalent internal friction angle φ ’ is 37 : φ=sin1(1+0.25emsin0.25emφ)α+2sinφ(1+0.25emsin0.25emφ)α+2, <math altimg="urn:x-wiley:20500505:media:ese31762:ese31762-math-0019" display="block" wiley:location="equation/ese31762-math-0019.png" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><mi>\unicode{x003C6}</mi>&l...…”
Section: Roadway Surrounding Rock Control With the Narrow Coal Pillar...mentioning
confidence: 99%
“…According to the Mohr Coulomb strength criterion, cohesion and internal friction angle are indicators that characterize the shear strength of rock mass shear strength. Under the anchoring influence, the equivalent cohesion c ’ is 37 : c=c+πrnormalb2σnormalt12+φπsinπ4+φ23snormallsnormalc, <math altimg="urn:x-wiley:20500505:media:ese31762:ese31762-math-0018" display="block" wiley:location="equation/ese31762-math-0018.png" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><mi>c</mi><mo accent="false">\unicode{x02032}</mo><mo>\unicode{x0003D}</mo><mi>c</mi><mo>\unicode{x0002B}</mo><mfrac><mrow><mi>\unicode{x003C0}</mi><msubsup><mi>r</mi><mi mathvariant="normal">b</mi><mn>2</mn></msubsup><msub><mi>\unicode{x003C3}</mi><mi mathvariant="normal">t</mi></msub><mfenced separators=""><mrow><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>\unicode{x0002B}</mo><mfrac><mi>\unicode{x003C6}</mi><mi mathvariant="normal">\unicode{x003C0}</mi></mfrac></mrow></mrow></mfenced><mi>sin</mi><mfenced separators=""><mrow><mrow><mfrac><mi mathvariant="normal">\unicode{x003C0}</mi><mn>4</mn></mfrac><mo>\unicode{x0002B}</mo><mfrac><mi>\unicode{x003C6}</mi><mn>2</mn></mfrac></mrow></mrow></mfenced></mrow><mrow><msqrt><mn>3</mn></msqrt><msub><mi>s</mi><mi mathvariant="normal">l</mi></msub><msub><mi>s</mi><mi mathvariant="normal">c</mi></msub></mrow></mfrac><mo>,</mo></mrow></mrow></math>the equivalent internal friction angle φ ’ is 37 : φ=sin1(1+0.25emsin0.25emφ)α+2sinφ(1+0.25emsin0.25emφ)α+2, <math altimg="urn:x-wiley:20500505:media:ese31762:ese31762-math-0019" display="block" wiley:location="equation/ese31762-math-0019.png" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><mi>\unicode{x003C6}</mi>&l...…”
Section: Roadway Surrounding Rock Control With the Narrow Coal Pillar...mentioning
confidence: 99%
“…This shows that the difference in the susceptibility values of rocks below the surface is identified by the presence of faults. By knowing the susceptibility it will be known the type of rock (Gao & Jia, 2020;Orwin, 1998;Thoreau & Prayer, 2000;Zhang et al, 2021). High magnetic anomaly indicates positive rock susceptibility and high value, and has high magnetic susceptibility.…”
Section: Figure 10 Regional Anomaly Contourmentioning
confidence: 99%