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GEO5

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Internal Stability of a Gabion Wall - Safety Factor

The following cases are assumed when examining the internal stability of the gabion wall using the concept of factor of safety:

1) Check for overturning stability:

where:

Movr

-

overturning moment

Mres

-

resisting moment

SFo

-

safety factor for overturning

2) Check for slip:

where:

N

-

normal force

φd

-

design angle of internal friction of soil

cd

-

design cohesion of the soil

d

-

width of block

e

-

eccentricity

H

-

shear force

Fres

-

resisting force (from georeinforcement and mesh overlap)

SFs

-

safety factor for sliding resistance

µ

-

reduction coefficient

3) Check for bearing capacity with respect to the lateral pressure:

where:

T

-

average value of pressure acting on face of the bottom block

S

-

force per one running meter of the joint

Su

-

joint bearing capacity (for input, use the frame "Material")

SFn

-

safety factor mesh strength (for input, use the "Wall analysis" tab - default value is 1.5)

b

-

width = 1 m of structure width

h

height of the block

Dtotal

overall width of meshes loaded in compression T

4) Check for bearing capacity of the joint between blocks:

where:

Nd

-

tensile force per one running meter of the upper joint

Nu

-

strength of mesh (for input, use the frame "Material")

SFn

-

safety factor mesh strength (for input, use the "Wall analysis" tab - default value is 1.5)

Qtr

-

shear force transmitted by friction and cohesion between blocks

γf

-

reduction coefficient of friction between blocks (for input, use the "Wall analysis" tab)

h

-

height of the block

Dtotal

-

overall width of meshes loaded in compression T

Dupp

-

width of upper mesh between blocks loaded in tension

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