Article

From Internal Design to 2D and 3D Overall Stability Analysis

Published on: May 26, 2025 Updated on: May 26, 2025 Read: 7 minutes
Author:
  • Sina Javankhoshdel, Senior Manager - LEM

A comprehensive stability assessment begins with the right tools. This case study, originally presented by Brocca et al. (2023), demonstrates how leveraging an integrated software suite — RSWall, Slide2, and Slide3 — can be used together to assess the stability of a multi-segment gabion wall supporting a roadway on sloped terrain.

The wall was built in three segments measuring 8.6 m, 22.9 m, and 24.2 m in length. All segments were designed to a uniform height of 6 m, and the wall was constructed to retain soil with a 24° backslope and to support a traffic load of 20 kN/m².

Figure 1. A plan view of the studied gabion wall.
Figure 1. A plan view of the studied gabion wall.

Internal Design of the Gabion Wall Using RSWall

The wall was designed using the Gabion Wall option in RSWall.

Figure 2. The wall types available in RSWall.
Figure 2. The wall types available in RSWall.

The design followed AASHTO 2020 standards with the Strength Load Combination. RSWall performs external and internal failure checks using the LRFD approach. Load and resistance factors are selected based on the design standard specified by the user.

Figure 3. Design standard selection in RSWall.
Figure 3. Design standard selection in RSWall.
Figure 4. Load and resistance factors for AASHTO 2020.
Figure 4. Load and resistance factors for AASHTO 2020.

The following failure modes were considered:

  • External stability: sliding, overturning, and bearing capacity.
  • Internal stability: including internal sliding and crest toppling (only applicable for segmental and gabion walls).
    • For walls with reinforcement, internal sliding can occur along reinforcements and facing blocks.
    • For gabion walls, internal sliding relates to the gabion baskets.
Figure 5. External and internal stability failure modes considered in the analysis.
Figure 5. External and internal stability failure modes considered in the analysis.

The Coulomb method was selected in RSWall to calculate active earth pressure. Two basket depths (0.5 m and 1.5 m) were used to create a non-uniform wall profile. The multi-segmental wall geometry was defined using the soil profile coordinates, via the Wizard Tool in RSWall.

Figure 6. Multi-segment geometry defined using the Wizard Tool.
Figure 6. Multi-segment geometry defined using the Wizard Tool.

Three segment profiles with identical geometry were modelled. Dark-colored baskets indicate a 1.5 m depth, while lighter-colored baskets indicate 0.5 m depth.

Figure 7. Non-uniform wall profile.
Figure 7. Non-uniform wall profile.

The backslope was defined at an angle of 24°.

Figure 8. Broken backslope properties.
Figure 8. Broken backslope properties.

Soil Properties

Soil\ Parameter

Unit weight kN/m3

Friction angle(o)

Soil-structure friction angle(o)

Long-term cohesion (kPa)

Backfill

20

30

24.5

0

Foundation

20

30

24.5

10

A live distributed load of 20 kPa was also applied to the wall.

Figure 9. The Manage Loads dialog in RSWall.
Figure 9. The Manage Loads dialog in RSWall.

The multi-segment gabion wall model is shown below.

Figure 10. The multi-segment gabion wall in RSWall.
Figure 10. The multi-segment gabion wall in RSWall.

After computation, the results showed that the wall is stable. The lowest Capacity-to-Demand Ratio (CDR) was 1.01 for base sliding (external failure). As all segments have the same height and profile, they exhibit the same CDR.

RSWall’s redesigned report generator provides detailed hand calculations for each wall segment. Below is an example hand calculation for the base sliding failure surface in Segment 1.

Figure 11. Detailed hand-calculation in the RSWall report generator.
Figure 11. Detailed hand-calculation in the RSWall report generator.

Since the model satisfied both external and internal stability, the next step involved importing it into Slide2 for overall stability analysis.

Overall Stability Analysis Using Slide2

All segments were exported into Slide2, generating a multi-scenario project file.

Figure 12. Exporting multiple segments to Slide2.
Figure 12. Exporting multiple segments to Slide2.
Figure 13. Multi-scenario model in Slide2, imported from RSWall.
Figure 13. Multi-scenario model in Slide2, imported from RSWall.

In Slide2, the wall was modelled with a cohesion of 500 kPa, a friction angle of 45°, and a unit weight of 24.3 kN/m³.

The method by Javankhoshdel et al. (2022) was used to estimate the strength of the gabion units. With a minimum gabion dimension of 0.5 m and mesh tensile strength of 40 kN/m, the equivalent cohesion (Cr) of the gabion wall was calculated using the following equations:

Where:

  • φ is the friction angle of the fill in the baskets.
  • Δσ₃ is the increase in confining pressure from Eq. 2 (Bathurst & Karpurapu, 1993).
  • fₜ is the mesh tensile strength.
  • d is the minimum gabion dimension.
  • εₐ is the axial strain at failure (typically 0.05–0.07).
  • εc is the circumferential strain from Eq. 3.

Using an Excel sheet and assuming 75 kN/m mesh strength for 1 m x 1 m blocks, cohesion was estimated as 110–115 kPa. A value of **c = 110 kPa** was used for this model.

The overall factor of safety (FS) using the Spencer method and auto-refine (circular search) was FS = 1.35, which satisfies most design thresholds.

Figure 14. Circular failure mechanism for the overall stability of the gabion wall in Slide2.
Figure 14. Circular failure mechanism for the overall stability of the gabion wall in Slide2.

Javankhoshdel et al. (2022) also recommend using non-circular search for gabion walls, especially when weak layers exist between basket interfaces. Using the Cuckoo search (non-circular method), Slide2 produced FS = 1.2 with the failure surface extending behind the wall.

Non-circular searches typically produce lower FS values than circular ones.

Figure 15. Non-circular failure mechanism for the overall stability of the gabion wall in Slide2.
Figure 15. Non-circular failure mechanism for the overall stability of the gabion wall in Slide2.

Note: Slide2 applies LRFD factors when models are imported from RSWall. If the design standard is set to "None", Slide2 switches to ASD (Allowable Stress Design), which slightly increases the FS.

Figure 16. Non-Circular failure mechanism for the overall stability of the gabion wall (ASD method) in Slide2.
Figure 16. Non-Circular failure mechanism for the overall stability of the gabion wall (ASD method) in Slide2.

A weak layer was modelled in Slide2 at the basket interfaces using c = 20 kPa and φ = 15°. This reduced the FS to 1.1 using the Spencer method.

Figure 17. Weak layers modelled at basket interfaces in Slide2.
Figure 17. Weak layers modelled at basket interfaces in Slide2.

Enabling "Show All Surfaces" and filtering Fs < 1.2 revealed multiple potential slip surfaces, characteristic of multimodal failure.

Figure 18. Show all surfaces with the filter of FS < 1.2.
Figure 18. Show all surfaces with the filter of FS < 1.2.

The Multiple-Modal Optimization (MMO) option in Slide2 (Particle Swarm → Multiple) was used to identify multiple valid slip surfaces.

Figure 19. MMO results for the gabion wall model in Slide2.
Figure 19. MMO results for the gabion wall model in Slide2.

The results showed several failure surfaces with FS < 1.2, confirming the multi-modal behavior. Since the wall and soil properties were the same across all segments, Slide2's stability results applied to all. However, a 3D analysis offers a more comprehensive picture, as 2D models assume infinite geometry and loading normal to the model plane.

3D Overall Stability Analysis Using Slide3

The model was recreated in Slide3, including actual road and wall dimensions, angles, and traffic loads. 3D analysis provided even greater insight.

Figure 20. The gabion wall modelled in Slide3.
Figure 20. The gabion wall modelled in Slide3.

Using the cohesion method (c = 110 kPa) and the MMO option in Slide3, critical slip surfaces were identified.

Figure 21. MMO results in the Slide3 model of the gabion wall.
Figure 21. MMO results in the Slide3 model of the gabion wall.

The results showed two primary failure surfaces with FS = 1.4 and 1.6, both higher than 2D values. This is typical, as 3D analysis accounts for wall strength more realistically.

The column viewer in Slide3 confirmed that some parts of the slip surface intersect the high-strength gabion blocks.

Figure 22. Column viewer in Slide3, showing slip surface intersecting gabion blocks.
Figure 22. Column viewer in Slide3, showing slip surface intersecting gabion blocks.

What This Means for Future Gabion Wall Designs

Using RSWall, Slide2, and Slide3 in sequence allows you to assess both internal and global stability with precision across 2D and 3D models. With this approach, you can identify critical slip surfaces early, especially in complex geometries and layered interfaces.

References

Bathurst, R.J. and Karpurapu, R. 1993. Large-Scale Triaxial Testing of Geocell-Reinforced Granular Soils. Geotechnical Testing Journal, 296-303.

Brocca, G., Vicari, M., Javankhoshdel, S., Ma, T. and Cami, B., 2023, November. Internal and Global Analysis of a Gabion Wall Using 2D and 3D Limit Equilibrium Analysis: A Comparison of Multiple Methods. In Rocscience International Conference (RIC 2023) (pp. 751-762). Atlantis Press.

Javankhoshdel, S., Sy, L.J., Ma, T., Cami, B., Yacoub, T. 2022. Limit equilibrium analysis of gabionwalls. GeoCalgary 2022.

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