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 | - | |
φ | - | angle of internal friction of soil | |
c | - | 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 |