Underground Excavation Design Shape
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1 Underground Excavation Design Underground Excavation Design Shape Alfred Zettler
2 Literatur Hoek, E., P.K. Kaiser, W.F. Bawden, Support of Underground Excavations in Hard Rock, Balkema, 1995 Wittke, W., B. Pierau, C.Erichsen, Statik und Konstruktion der Spritzbetonbauweise, Verlag Glückauf, 2002 Wittke, W. Stability Analysis for Tunnels Fundamentals, Verlag Glückauf, 2000 Empfehlungen des Arbeitskreises Tunnelbau ETB, Herausgeber Deutsche Gesellschaft für Geomechanik e.v., Verlag Ernst & Sohn, 1995 Jaeger, J.C., Cook, N.G.W., Fundamentals of Rock Mechanics, Chapmann and Hall Ltd., 1 st edition 1969 or 3 rd edition 1976 Wittke, W., Rock Mechanics, Springer or German Version Felsmechanik, Springer 1984 Girmscheid, G., Baubetrieb und Bauverfahren im Tunnelbau, Verlag Ernst & Sohn, 2000 FLAC Manual Itasca Consulting Group Underground Excavation Design Alfred Zettler
3 Differences to other fields of engineering? The main difference to other engineering disciplines is that in rock mechanics the material is pre-determined Steel or concrete design. The material is well determined. It is possible to choose materials with different characteristics. Tests are easy to perform and to determine (Young s Modulus, strength, ect.).
4 How to influence the rock mass? There are chances to influence the rock mass behaviour around an underground opening: Shape, Orientation and Reinforcement To figure out the best shape and the best orientation is the most successful way to influence the rock mass behaviour around a tunnel. So let us talk about the influence of shape and orientation of buildings.
5 Influence of excavation shape Mechanical Approaches Continuum Mechanic Discontinuum Mechanic Fracture Mechanic
6 The influence of excavation shape Continuum Mechanic Approach Linear elastic material Linear elastic - ideal plastic material: Mohr Coulomb material Hoek Brown material Drucker Prager material
7 Cylindrical Hole Infinite Elastic Medium
8 Cylindrical Hole Infinite Elastic Medium
9 Cylindrical Hole Infinite Elastic Medium
10 Cylindrical Hole Infinite Elastic Medium
11 Example Borehole s Q s 0 s r
12 Elliptic hole in an elastic medium b a σv σ v
13 Elliptic hole in an elastic model
14 Elliptic hole in an elastic model Elliptical Hole in an Elastic Medium 7,0 6,0 Tangental Stress crown 5,0 4,0 3,0 2,0 1,0 0,0 6,0-7,0 5,0-6,0 4,0-5,0 3,0-4,0 2,0-3,0 1,0-2,0 0,0-1,0-1,0 0,00 0,10 0,20 0,30 0,33 lamda 0,40 0,50 0,60 0,70 0,80 0,90 1,00 3,0 0,3 a/b -1,0-0,0
15 Elliptic hole in an elastic model Elliptical Hole in an Elastic Medium 7,0 Tangental Stress Sidewall 6,0 5,0 4,0 3,0 2,0 1,0 0,0 3,0 a/b 0,3 0,90 0,70 0,50 0,33 0,20 0,00 Lamda 6,0-7,0 5,0-6,0 4,0-5,0 3,0-4,0 2,0-3,0 1,0-2,0 0,0-1,0
16 Elliptic hole in an elastic model
17 Elliptic hole in an elastic model
18 Elliptic hole in an elastic model
19 Elliptic hole in an elastic model
20 Elliptic hole in an elastic model
21 Elliptic hole in an elastic model
22 Elliptic hole in an elastic model
23 Estimation of Boundary Stresses
24 Estimation of Boundary Stresses
25 Estimation of Boundary Stresses
26 Estimation of Boundary Stresses
27 Spherical Cavity Elastic Medium
28 Spherical Cavity Elastic Medium
29 Spherical Cavity Elastic Medium
30 Spherical Cavity Elastic Medium
31 Spherical Cavity Elastic Medium
32 Cylindrical Hole Infinite Mohr - Coulomb Medium
33 Cylindrical Hole Infinite Mohr - Coulomb Medium
34 Cylindrical Hole Infinite Mohr - Coulomb Medium
35 Cylindrical Hole Infinite Mohr - Coulomb Medium
36 Cylindrical Hole Infinite Mohr - Coulomb Medium
37 Cylindrical Hole Infinite Mohr - Coulomb Medium
38 Cylindrical Hole Infinite Mohr - Coulomb Medium
39 Cylindrical Hole Infinite Mohr - Coulomb Medium
40 Cylindrical Hole Infinite Mohr - Coulomb Medium
41 Cylindrical Hole Infinite Hoek Brown Medium
42 Cylindrical Hole Infinite Hoek Brown Medium
43 Cylindrical Hole Infinite Hoek Brown Medium
44 Cylindrical Hole Infinite Hoek Brown Medium
45 Cylindrical Hole Infinite Hoek Brown Medium
46 Cylindrical Hole Infinite Hoek Brown Medium
47 Cylindrical Hole Infinite Hoek Brown Medium
48 Cylindrical Hole Infinite Hoek Brown Medium
49 Cylindrical Hole Infinite Hoek Brown Medium
50 Cylindrical Hole Infinite Hoek Brown Medium
51 Cylindrical Hole Infinite Hoek Brown Medium
52 Generalised Hoek Brown Crit.
53 Generalised Hoek Brown Crit.
54 Stresses Shape and Primary Stress
55 Stresses Shape and Primary Stress
56 Stresses Shape and Primary Stress
57 Stresses Shape and Primary Stress
58 Stresses Shape and Primary Stress
59 Lined Circular Tunnel
60 Lined Circular Tunnel
61 Lined Circular Tunnel
62 Lined Circular Tunnel
63 Lined Circular Tunnel
64 Lined Circular Tunnel
65 Lined Circular Tunnel
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