Post on 15-Apr-2022
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Underground Excavation Design
Underground Excavation Design
Shape
Alfred Zettler
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Differences to other fields of engineering design?
The main difference to other engineering disciplines is that in rock mechanics the material is pre-determined
Steel or concrete design: The material is determined.
It is possible to choose materials with different characteristics.
Tests are easy to perform and to determine (Young’s Modulus, strength, ect.).
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Is it possible to influence the rock
mass behaviour?
There are possibillities to influence the rock mass behaviour around an underground opening:
Shape, Orientation and Support Measurements
To figure out the best shape and the best orientation is the most successful way to influence the rock mass behaviour around a tunnel.
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Shape of the underground opening
Theoretical basis of underground constructions
Theoretical material
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Theoretical Background
Mechanical Approaches
Continuum Mechanic
Discontinuum Mechanic
Fracture Mechanic
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Theoretical approach
Continuum Mechanic Approach
Linear elastic material
Linear elastic - ideal plastic material:
� Mohr Coulomb material
� Hoek Brown material
� Drucker Prager material
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Elastic Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Elastic Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Elastic Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Elastic Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Example Borehole
σr
σΘ
σ0
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic medium
a
b
σv
σv
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic model
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic model
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic model
0,0
0
0,2
0
0,3
3
0,5
0
0,7
0
0,9
0
3,0
0,3
0,0
1,0
2,0
3,0
4,0
5,0
6,0
7,0T
an
gen
tal S
tress S
idew
all
Lamda
a/b
Elliptical Hole in an Elastic Medium
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
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic model
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic model
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic model
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic model
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic model
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic model
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Elliptic hole in an elastic model
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Estimation of Boundary Stresses
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Estimation of Boundary Stresses
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Estimation of Boundary Stresses
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Estimation of Boundary Stresses
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Spherical Cavity Elastic Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Spherical Cavity Elastic Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Spherical Cavity Elastic Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Spherical Cavity Elastic Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Spherical Cavity Elastic Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Mohr Coulomb Material
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Mohr-Coulomb Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Mohr-Coulomb Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Mohr-Coulomb Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Mohr-Coulomb Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Mohr-Coulomb Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Mohr-Coulomb Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Mohr-Coulomb Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Mohr-Coulomb Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Mohr-Coulomb Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Hoek–Brown Criterium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Cylindrical Hole Infinite Hoek–Brown Medium
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Generalised Hoek – Brown Criterion
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Generalised Hoek – Brown Criterion
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Stresses Shape and Primary Stress
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Stresses Shape and Primary Stress
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Stresses Shape and Primary Stress
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Stresses Shape and Primary Stress
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Stresses Shape and Primary Stress
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Lined Circular Tunnel
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Lined Circular Tunnel
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Lined Circular Tunnel
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Lined Circular Tunnel
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Lined Circular Tunnel
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Lined Circular Tunnel
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Lined Circular Tunnel
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Discontinuum Mechanics
Figure: Hoek Rock Engineering, course notes
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Discontinuum Mechanics
Figure: Hoek Rock Engineering
Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler
Discontinuum Mechanics
Figure: Hoek Rock Engineering
Underground Excavation Design Alfred Zettler
References
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., 1st edition 1969 or 3rd 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
References
Hoek, E., “Practical Rock Engineering”, Download http://www.rocscience.com/hoek/pdf/Practical_Rock_Engineering.pdf