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4.2
Summary of slope stability charts
Further developments of stability charts have been summarised by Abramson (2002):
Table 4.1: Summary of slope stability charts by Abramson (2002)
Method
Taylor (1948)
Bishop and
Morgenstern
(1960)
Gibson and
Morgenstern
(1962)
Spencer (1967)
Parameters
Slope
inclination 𝜷
(degrees)
Analytical
methods
𝜙=0
𝑐𝑢 , 𝑐, 𝜙
0 – 90
𝑐, 𝜙, 𝑟𝑢
11 – 26.5
𝑐𝑢
0 – 90
𝜙=0
𝑐, 𝜙, 𝑟𝑢
0 – 34
Spencer
𝜙=0
Janbu
generalised
Friction circle
Bishop
Janbu (1968)
𝑐𝑢 , 𝑐, 𝜙, 𝑟𝑢
0 – 90
Hunter and
Schuster (1968)
𝑐𝑢
0 – 90
𝜙=0
Chen and Giger
(1971)
𝑐, 𝜙
20 – 90
Limit analysis
11 – 26
Bishop
O’Connor and
Mitchell (1977)
𝑐, 𝜙, 𝑟𝑢
Friction circle
Hoek and Bray
(1977)
Cousins (1978)
Charles and
Soares (1984)
Barnes (1991)
Notes
Undrained analysis
Dry slopes only
First to include water
effects
Undrained analysis with
𝑐𝑢 increasing linearly
with depth; zero strength
at ground level
Toe circles only
Extensive series of charts
for seepage and tension
crack effects
Undrained analysis with
𝑐𝑢 increasing linearly
with depth; finite strength
at ground level
Extended Bishop and
Morgenstern (1960) to
include 𝑁𝑐 = 0.1
Includes groundwater and
tension cracks
𝑐, 𝜙
0 – 90
𝑐, 𝜙, 𝑟𝑢
0 – 45
Friction circle
𝜙
26 – 63
Bishop
Nonlinear MohrCoulomb failure envelope
𝑐, 𝜙, 𝑟𝑢
11 – 63
Bishop
Extension of Bishop and
Morgenstern (1960);
wider range of slope
angles
Wedge
Three-dimensional
analysis of wedge block
Extension of Taylor
(1948)
35