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NCHRP Report 611: Seismic Analysis and Design of Retaining Walls, Buried Structures, Slopes, and Embankments (2009)
National Cooperative Highway Research Program (NCHRP)

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Lam, Ignatius Po, Martin, Geoffrey R, Anderson, Donald G, Wang, Joseph N, Transportation Research Board. "2.4 Conclusions." NCHRP Report 611: Seismic Analysis and Design of Retaining Walls, Buried Structures, Slopes, and Embankments. Washington, DC: The National Academies Press, 2009.

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Front Matter (R1-R10)
1.1 Overall Project Objectives, Approach, and Schedule (1-1)
1.2.1 Plans for Implementing the LRFD Design Methodology (2-3)
1.2.2 Overview of Conclusions from Initial Phase of Work (4-4)
1.2.3 Overview of Conclusions from Second Phase of Work (5-6)
1.2.4 Overview of Conclusions from Third Phase of Work (7-7)
1.3.1 Volume 1 - Final Project Report (8-8)
1.3.2 Volume 2 - Recommended Specifications, Commentaries, and Example Problems (9-9)
2.1 Earthquake Design Basis (10-10)
2.2 Literature Search (11-11)
2.2.1 Key References (12-13)
2.2.2 General Observations (14-14)
2.3 DOT, Vendor, and Consultant Contacts (15-16)
2.4 Conclusions (17-17)
3.1.1 Gravity and Semi-Gravity Walls (18-20)
3.1.2 MSE Retaining Walls (21-21)
3.2.1 Seismic Considerations for Soil Slopes (22-22)
3.2.2 Seismic Considerations for Rock Slopes (23-23)
3.3 Buried Structures (24-24)
3.4 Conclusions (25-25)
4.1 Developments for Seismic Ground Motions (26-27)
4.2.1 Generalized Limit Equilibrium Analyses (28-28)
4.2.2 Wall Height-Dependent Seismic Coefficient (29-29)
4.3 Developments for Slopes and Embankments (30-30)
4.4.1 Analysis Procedures for TGD (31-32)
4.5 Summary (33-34)
5.1.1 Update to AASHTO Seismic Ground Motion Criteria (35-37)
5.1.2 Range of Ground Shaking Levels in the United States for Referenced Soft Rock (38-38)
5.1.3 Variation in Spectral Shapes for Soil and Rock Sites in WUS versus CEUS (39-40)
5.2.2 Description of Ground Motion Database (41-41)
5.2.4 Microsoft Access Database (42-42)
5.2.7 Newmark Sliding Block Displacement Correlations (43-45)
5.2.8 Comparison Between Correlations (46-47)
5.2.9 Confidence Level (48-48)
5.3 Correlation of PGV with S1 (49-53)
5.4 Conclusions (54-54)
6.1.1 Scattering Analyses for a Slope (55-62)
6.1.2 Scattering Analyses for Retaining Walls (63-65)
6.2 Conclusions (66-67)
7.1 Current Design Practice (68-70)
7.2.1 Seismic Active Earth Pressures (71-72)
7.2.2 Seismic Passive Earth Pressures (73-73)
7.3.2 Results of M-O Analyses for Soils with Cohesion (74-74)
7.3.3 Implication to Design (75-75)
7.5 Height-Dependent Seismic Design Coefficients (76-76)
7.5.1 Evaluation of Impedance Contrasts and Soil Behavior (77-78)
7.5.2 Results of Impedance Contrast and Nonlinearity Evaluations (79-80)
7.6 Displacement-Based Design for Gravity, Semi Gravity, and MSE Walls (81-81)
7.7 Conventional Gravity and Semi-Gravity Walls - Recommended Design Method for External Stability (82-83)
7.8.2 MSE Walls - Design Method for External Stability (84-86)
7.8.3 MSE Walls - Design Method for Internal Stability (87-87)
7.9.1 Nongravity Cantilever Walls (88-90)
7.9.2 Anchored Walls (91-92)
7.9.3 Soil Nail Walls (93-93)
7.10 Conclusions (94-95)
8.1.1 Engineered Slopes and Embankments (96-96)
8.2.1 Limit Equilibrium Approach (97-98)
8.2.2 Displacement-Based Approach (99-99)
8.3 Proposed Design Methodology (100-100)
8.4.1 Problem Description (101-101)
8.5.1 Limit Equilibrium Design Methods (102-102)
8.5.3 Liquefaction Potential (103-103)
8.6 Conclusions (104-104)
9.2 Culvert/Pipe Characteristics (105-105)
9.3 General Effects of Earthquakes and Potential Failure Modes (106-106)
9.3.1 Ground Shaking (107-107)
9.4 Current Seismic Design Practice for Culverts or Other Buried Structures (108-108)
9.5.1 Ovaling of Circular Conduits (109-112)
9.5.2 Racking of Rectangular Conduits (113-114)
9.6.2 Model Assumptions and Results (115-128)
9.7 Conclusions and Recommendations (129-130)
10.2 Retaining Walls (131-131)
10.3 Slopes and Embankments (132-132)
10.5 Need for Confirming Methods (133-133)
References (134-136)
Appendices (137-137)
Abbreviations used without definitions in TRB publications (138-138)

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17 seismic coefficient to use during these analyses and an 2.4 Conclusions acceptable factor of safety. ­ Design of buried structures (that is, pipelines and cul- Conclusions from this task were that the methodologies verts) is normally limited to a check on liquefaction available to design professionals within DOTs and consult- potential, on the potential for flotation, and an evalua- ants for the DOTs are primarily limited either to pseudo- tion of slope stability or lateral flow. Where lateral soil static methods, such as the M-O equations for estimating movement was expected, the buried structure was either seismic earth pressures on retaining structures and the limit- considered expendable or ground treatment methods equilibrium method of slope stability analysis, or to simplified were used to mitigate the potential for lateral ground deformation methods (for example, Newmark charts or analy- movement. ses). Although these methods have limitations, improvements in these methodologies still offer the most practical approaches An interesting observation from these contacts was that the to seismic design. approach used by transportation agencies, specifically DOTs, A growing trend towards the use of more rigorous model- seemed to lag the methodologies being used by many con- ing methods, such as the computer code FLAC (Itasca, 2007), sultants. This is particularly the case for the seismic design for the evaluation of retaining structures, slopes and embank- of slopes, where the common practice was to limit the seismic ments, and buried structures has occurred recently. While stability analyses to the abutment fill using pseudo-static FLAC and similar software provide a more rigorous model- methods. With the possible exception of some DOTs, such as ing of these problems and can be a very powerful method of Caltrans and WSDOT, there was some hesitation towards analysis, these more numerically intensive procedures do not using deformation methods. It also seemed that free-stand- appear to be suitable for development of design methodolo- ing retaining walls and buried structures most often were not gies required by this Project. Rather they offer methodologies designed for seismic loading. This was due in part to the lack either to check the simplified procedures appropriate for con- of generally accepted design guidelines and the general costs ventional design or to evaluate special loading conditions and associated with the implementation of additional design special geometries. Even in these special cases, these more rig- requirements. orous procedures can be prone to significant inaccuracies As a final note, it was commonly accepted by most practi- when the person using the software does not have a good tioners involved in designing retaining walls and underground understanding of conditions that could affect results. structures that earth structures have performed well in past As discussed in the next chapter, it also was apparent from earthquakes, even for the higher ground shaking levels in the review of the literature that some areas of seismic design WUS. These observations suggested that the seismic design were relatively mature, with design methods provided and gen- requirement for earth structures should not burden the erally accepted. The design of slopes and embankments is designer with overly complex and often over costly designed an example of this. But other areas were less well under- systems. A very important part of the NCHRP 12-70 Project stood even for static loading. Design of geosynthetic walls falls was to take advantage of recent seismological studies and into this category. This difference in "design maturity" added seismic performance observations to avoid unwarranted to the complexity of the NCHRP 12-70 Project, as the intent of conservatism and to reduce the region of the country requir- the NCHRP 12-70 Project was to have design guides consistent ing seismic loading analyses. with and build upon static design methods.