
Limit Equilibrium
Method (LEM)
Limit Equilibrium
Method is used to carry out Slope Stability Analysis.
Analysis
Method
Bishop
Fellenius
Janbu
Spencer
Morgenstern
- Price
Sarma
(Vertical)
Using
Function
In
case of Morgenstern - Price method, it is to calculate the vertical
force of slice using function
Half
Sine is default one. Refer to LEM
User Defined Function.
<
Limit Equilibrium Method (LEM) >
α /
β
In
case of Sarma method, the relation between horizontal and vertical
force of slice is defined by Mohr-Coulomb failure criteria.
X
= λ
x ( αh
+ Etanβ )
α : cohesion
β : friction angle
h : slice height
No.
of Iterations and Errors
Maximum
number of iterations
Maximum number
of iterative calculations.
No.
of Slices
Number of slices
to be assumed at the failure surface.
Safety
Calculation Tolerance
Convergence
criterion for safety factor.
Minimum
Thickness of Slice
Minimum thickness
of failure surface.
Slope
Direction
Select the direction
of Analysis model.
Left
to Right Direction
Sloping down
from left to right.
Right
to Left Direction
Sloping down
from right to left.
Advanced
Option for LEM

Advanced option to define the calculation method of slice force
Slice Segmentation
Equal Length / Equal Width
Reinforcing Effect
Consider Reinforcement Force
Check : Including reinforcing force in the equilibrium equation.
Uncheck : Excluding reinforcing force from the equilibrium equation.
Reinforcement Load
Specify the unit of reinforcement load (Stress / Force)
Print
Result File
Calculation
results for all of assumed failure surfaces.
Initial
Water Level
Enter the underground
water level condition. A function created by a basic function
or the Water
Level Function can be specified.

Use
of Optimization
If checking the
button 'Use of Optimization', the below options about optimization
method is activated and optimization analysis to find critical
slip surface is conducted.
Convergence
Tolerance
Specify optimization
convergence tolerance. When analyzing in order to find critical
slip surface, optimization is quitted if difference between factor
of safety of slip surface divided before and factor of safety
of slip surface divided currently is less than or equal to convergence
tolerance.
Number
of Points on Slip Surface
Specify initial
value and maximum of points on slip surface. Optimization is conducted
increasing the number of slip surface from initial value to maximum
value.
<
Define Optimization analysis >
Variation
range of Coordinate of Point
Specify variation
range of coordinate of point on slip surface.
Result
Output
Specify method
of result output. If selecting 'Last step', result of last step
which is the lowest factor of safety is output, and if selecting
'All step', results from each slip surface are output.

Sensitivity
: Check sensitivity analysis. But, It can not be considered with
optimization analysis at the same time.
Probability
: Check probability analysis. But, It can not be considered with
optimization analysis at the same time.
- Sampling Method
: Latin-Hypercube method. (Refer to analysis manual)
- Number of
Samples : Enter the number of samples.
User
Spatial Variation : Define spatial variation directly.
- Sample Each
Slice : Calculate parameters of each material defined about probability
analysis applying each slice of fracture surface differently.
- Use Sampling
Distance : Calculate parameters of each material defined about
probability analysis applying on the standard of distance coordinates
each slice base of fracture surface differently. Enter sampling
distance and apply based on the most left coordinates from total
slope surface.
Click
, after applying the selected Analysis case, the dialog box will
close upon clicking.
Click
or press the ESC
key to close the dialog box.
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