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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 acting on the upper joint of the bottom block

φd

-

design angle of internal friction of the bottom block material

B

-

width of upper block

c

-

cohesion of the bottom block material

Q

-

shear force

SFs

-

safety factor for sliding resistance

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 capacityof 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

γt

-

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