Please use this identifier to cite or link to this item: https://hdl.handle.net/11681/2890
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dc.contributorMichigan State University. Department of Civil and Environmental Engineering.-
dc.contributorU.S. Army Engineer Waterways Experiment Station-
dc.contributor.authorWolff, Thomas F.-
dc.contributor.authorWang, Weijun-
dc.coverage.spatialname=Locks and Dam No. 2; west=92.8686; north=44.7597-
dc.coverage.spatialname=Locks and Dam No. 3; west=92.6103; north=44.6100-
dc.coverage.spatialname=Lock and Dam No. 4; west=91.9203; north=44.3256-
dc.coverage.spatialname=Gray's Landing; west=79.9187; north=39.8323-
dc.coverage.spatialname=Demopolis Locks and Dam; west=87.8800; north=32.5201-
dc.date.accessioned2016-03-15T15:20:26Z-
dc.date.available2016-03-15T15:20:26Z-
dc.date.issued1992-12-
dc.identifier.govdocContract Report ITL-92-4-
dc.identifier.urihttp://hdl.handle.net/11681/2890-
dc.descriptionContract Report-
dc.description.abstractThis report summarizes the results of a research effort to develop probability-based methods for expressing the structural reliability of gravity monoliths at navigation locks and dams. Existing reliability analysis techniques for civil engineering structures were adapted to the specific details of navigation structures. Using site-specific data, evaluations were made for the reliability of a number of structures with respect to sliding, overturning, and bearing capacity. Four of these structures are located on the Monongahela River in Pennsylvania and one structure is located on the Tombigbee River in Alabama. Based on the results of these studies, conclusions and recommendations are made for the reliability evaluation of similar Corps structures and use of such results for prioritizing rehabilitation investment decisions. NOTE: This file is large. Allow your browser several minutes to download the file.-
dc.description.sponsorshipPrepared for U.S. Army Corps of Engineers, Washington, DC 20314-1000 under Contract No. DACW39-91-C-0041-
dc.description.tableofcontentsPreface . . . . . . . . . . . . . _ . . . . . . . . . . . . . . ........ ......... . . . . . . . . . . . . . xi Conversion Factors, Non-SI to SI Units of Measurement . . . ........... . . . xii Part I: Introduction .. . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . ......... . . . . 1-1 Background . . . . . .. . . . . . . . . . . . .. . .. . . . .. . ... . ...... . . . . . . .. . . . 1-1 Problem Statement ..... . . . . . ........ . . . ....... ... .. . . . . . . . . . . . 1-2 Scope of this Report .... . ................. ............... ...... 1-3 Part II: Applications of Reliability-based Engineering Analysis . . . . . . . . . . . 2-1 A Brief ffistory .... .. ........ . . . ... .... . . . . . . ....... . . . . . . . . . . . 2-1 Application in Structural Design Codes . . . . ..... . . . . . . . ........ . .. 2-2 Application inBridge Evaluation . . ................... ........ ... 2-2 Some Previous Applications to Corps of Engineers' Projects .... . . . . . .. 2-3 Part ill: Basic Principles ......... ......... . . . . . . ....... ....... . ... 3-1 Basis of Reliability Analysis . . . . . . . ............................. 3-1 Steps inan Analysis ........................................... 3-4 Selection of R1µidom Variables ..... .... . . . . . ..... .. . ............ 3-5 Moments of Random Variables . . ........ . . . . . . . . . . . . . ........... 3-5 Probability Density Functions . . . . . . . . . . . ...... . . . . . . ......... . . . 3-9 The Performance Function and .imit State . ... . .... . . . . ... . . . . .... 3-15 Integration of the Performance Function .. ......... . . . ..... ....... 3-16 Monte Carlo Simulation ............. . . . . . . . . . . . . . . . . . . . . . . . ... 3-17 Taylor's Series Method . . . ............. . . . . . . ... ........ .... . .. 3-18 Point Estimate Method .. . . . . . .. . ....... . .. . .... . .............. 3-22 The Reliability Index and its Various Definitions ........... . . . . . . .. 3-22 Systems Reliability Problems ................. ................. 3-26 Setting Target Reliability Values . . . . ... .. . . ..... . . . . ............ 3-28 Time Variation of Reliability . . .......... . . . . . . ... . . . ... . . . . . . .. 3-29 Part IV: Probabilistic Characterization of Shale Strength . .............. 4-1 Monongahela River Foundation Materials ......... . . . . . . . . .... . . .. 4-1 <Jrouping of Data ..... . . . . ............. . . . . ... . . ........ . .. ... 4-3 Calculating the Moments of c and tan <I> . . . . .. . . . ... . . . . ... . . . . . . . . 4-5 Results . . . . . ... . . . . . . . . ... ...... . . . . ........ . . .............. 4-9 ... Il l Assigned Strength Parameters . . . . ... . ..... .. . . . . . . . . . . . . ······· 4-10 Discussion . . ......... . . . . .. . . ... . . . . . . .. . . . . . . . . . .·. . . ·. ···· 4-15 Part V: Development of a Methodology for Sliding Analysis: Locks and Dam No.2, Monolith M-16 . . . . . ............ ···················· 5-1 Problem Description . ........... . . ..... . . . . . . . . ..... . ...···. .· 5-1 Characterization of Random Variables . . . . ....... . . . . ......... . . . . 5-3 Performance Functions . . . . ...... . . ..... . . .... . ...... ..········ 5-6 Probabilistic Models . . . . . . ................ . .. . . . . ... . . . . . . . . . 5-11 Results . . . . . . ... . . . . . . . . . . . ............. .... . . . ... . . . . . . . ... 5.14 Discussion ................................................. Part VI:Development of a Methodology for Overturning Analysis: Locks 5-15 and Dam No. 2,Monolith M-16 . . . . . . . . . . . . . .... . . . . . . ..... . . ··· Problem Description . . . . . . ..................... ..... ..... . . ... Characterization of Random Variables . . .... . .... . . .. ........ . . . . . Performance Functions . ......................... . ... . . . . . ..... Probabilistic Models . . .... . . .. .. . . . . ........... . ...... . . ... . .. Results ... .. ................ . .. . .. . ......... . . .......... . .... 6-1 6-1 6-1 6-2 6-8 6-9 Discussion . . ..... . ............ ... .......... . . .......... .... 6-10 Part VIl: Development of a Methodology for Bearing Capacity Analysis: Locks and Dam No. 2, Monolith M-16 . . ... . ................... . .. 7-1 Problem Description ... . . . ..... . . . . . . . . ... ... . ...... . . ........ Comments on Perfonnance Mode ......... . .. . ... . ....... . . . . .... Performa nce Function . ... . . ...... ..... ... . . . ....... .... . . ...... Bearing Capacity of Rock Foundation ...... . . . . . . . . . . ..... . . . . . . .. Bearing Capacity of Assumed Sand Foundation ..... . ............... 7-1 7-1 7-2 7-2 7-4 DiSCUS . D • . . • • • • • • • • • • • • • • . • • • • . • • • • • • • • • • • • .. • • • • • • • • • • • • • 7-6 S10 Part Vill: Characterization of Anchor Reliability For Locks and Dam No. 3 . . . . ... . . . . ....... ................. .... .......... ... 8-1 In.ttoduction . . . . . ....... . . . . ................ ........... ...... 8-1 Potential Failure Modes ................. ..... . . . . ....... . ...... 8-2 Uncertainty and Variability of Initial Anchor Load ... . .............. 8-5 Variability of Load with Time .... ........ . . . . . . ............ ..... 8-5 Considerations for Multiple Anchors ........... ... . ........... ... 8-6 Quantification of. Anchor Uncertainty for Locks and Dam No.3 ... ..... 8-6 Part IX: Reliability AnaJyses for Locks and Dam No. 3, Monolith M-20 .... 9-1 Problem Description ..... . . . . ...:............ . . ....... . . . ..... 9-1 Sliding Analysis :.. ...... . . . . . . . . . . . . ..... . . ... . ......... ..... 9-3 Overturning Analyses ................ . ..... . .... . ............ . . 9-5 Summary and Discussion ........ . . . . . . ......... . . ..... . . . . . .... 9-6 Part X: Reliability Analyses for Locks and Dam No. 3, Monolith L-8 .. ... 10-1 Problem Description .................... . ...... .......... . ... 10-1 Sliding Analysis . . ....... ....... . . . . . ... . ... ... . ...... .... ... 10-1 Overturning Analyses ........... . . . . ......... .......... . ... ... 10-7 . IV Bearing Capacity Analysis . . ......... . .. ..... . ....... ...... . ... 10-9 Summary and Discussion ...... ...... . .. . . . . . ........ .... . . ... 10-12 Part XI: Reliability Analyses for Locks and Dam No.4, Dam Pier 3 . . .... 11-1 Problem Description .. . . . . ............... . ................ ... 11-1 Sliding Analysis . . . . . ... ................................ ..... 11-3 Overturning Analysis ......... ....... ........... ........ . .... 11-1O Bearing Capacity Analysis .... . . . . ...... . . .................... 11-12 summary and Dl.SC.USSlOn . . ... . .. . . . . . . . . . . . . . . • . . .• . ... . . . . . 11-12 Part XII: Reliability Analyses for Gray's Landing, Monolith L-20 ........ 12-1 Problem Description .. . . ... . . .. .... ........ ... . ............, . 12-1 Sliding Analysis . . ..... . .. .... ........ . . . . ..... ......... ..... 12-3 Overturning Analysis . . ................ . . ................ ..... 12-8 Bean.ng Capac1.ty Analys1.s ... ..... .. .. . .......... ......... . ... 12-13 Summary and Discussion ........ . .. ...................... .... 12-15 Part XDI:Reliability Analyses for Demopolis Locks and Dam, Monolith L-17 .... ................... ........... ..... ....... 13-1 Problem Description .................................... ..... 13-1 Sliding Ana_1ys1.s ........ . ......... . . . . . ...... . . . ............. 13-3 Overturning Analysis ................ ..... .... ............... 13-11 Summary and Discussion ....... ... . .......................... 13-17 Part XIV: Discussion, Conclusions, and Recommendations ............ 14-1 Inttoduction . .......... .... ... . ............ ................. 14-1 Discus . ......... .. .......... . .......... ................. 14-1 s1on Conclusions .......... ..................... .... ............ 14-11 Recommendations ............... . ... .... .. . . ... ........ ... . 14-15 References Appendix A: Example Sliding Analysis, Locks and Dam No.2, Monolith M-16 ............................................. .. A-1 Appendix B: Example Overturning Analysis, Locks and Dam No.2, Monolith M-16 ................. . .. ....... .... ................. B-1 SF 298 ;List of Figures Figure 3.1 The Reliability Analysis Process .... ... .................. 3-2 Figure 3.2 Some Common Probability Distributions ................. 3-12 Figure 3.3 Alternative Definitions of the Reliability Index ........... . 3-23 Figure 4.1 Paired-Point Method ..... . ...................... .... .. 4-6 Figure 4.2 Linear Regression Method . ..... ..... ...... ........ ... .. 4-6 v Figure 4.3 Figure 5.1 Figure 5.2 Figure 5.3 Figure 5.4 Figure 6.1 Figure 6.2 Figure 6.3 Figure 8.1 Figure 8.2 Figure 8.3 Example Regression Analysis for Locks and Dam No.4, Grou:p defg . . . . . . .... ... . . ....... . . . ...... . . . . . .. . . . ·. 4-11 Locks and Dam No. 2, Monolith M-16, Cross-Section . . . . . .. . . . 5-2 Definition of Hydraulic Uplift Force . . . . . . . . .. . . . . . . . . . . . . . . 5-7 Beta Distribution for Uplift parameter, E .. . . ....... . . . . . . . . . 5-8 Locks and Dam No.2, Monolith M-16, Free Body Diagram, Sliding Stability Analysis, Maintenance Condition . . .... . ..... 5-10 Locks and Dam No.2, Monolith M-16, Free Body Diagram, Overturning Stability Analysis - N01111al Operating ............ 6-3 Locks and Dam No.2, Monolith M-16, Free Body Diagram, Overturning Stability Analysis - Maintenance Condition . . . . . . . . 6-4 Locks and Dam No.2, Monolith M-16, Free Body Diagram, Over tw:ning Stability Analysis - High Water Condition . ....... 6-5 Assumed Variation of Expected Anchor Force with Time . ...... 8-8 Assnmoo Distribution of Initial Prestressing Force . ....... ..... 8-8 Assumoo Distribution of Anchor Location at Top of Monolith . .. . . . . . . ............ . ........... . . ........... . 8-9 Figure 8.4 Assumed Distribution of Anchor Inclination . . .... .. . . . . . . . .. 8-9 Figure 9.1 Locks and Dam No.3, Monolith M-20, Cross-Section ......... . 9-2 Figure 10.1 Locks and Dam No.3,Monolith L-8, Cross-Section .......... 10-2 Figure 10.2 Locks and Dam No.3, Monolith L-8, Free Body Diagram, Sliding Stability Analysis - N01111al operating with Hawser Force . . . . . . . . . . .............. ....................... 104 Figure 10.3 Locks and Dam No 3, Monolith L-8, Free Body Diagram, Overtmning Stability Analysis - No1111al Operating with llawseI" Force. . . . . .................-·.. . ................ 10-8 Figure 11.1 Locks and Dam No.4,Dam Piers,Cross-Section ............. 11-2 Figure 11.2 Locks and Dam No.4, Dam Piers, Free Body Diagram, Sliding Stability Analysis, Normal Operating with Impact Force ... .............. . ..................... . .......... 11-6 Figure 11.3 Locks and Dam No.4,Dam Piers, Free Body Diagram, Sliding Stability AJla1yst•s, Mam. tenance Conditi· on . . .......... 11-7 Figure 11.4 Locks and Dam No.4, Dam Piers, Free Body Diagram, Overturning stability Analysis, Maintenance Condition ....... 11-1O Figure 12.1 Gray's Landing Locks and Dam, Monolith L-20, Cross-Section .......... ............ . ........ . . . . . ..... 12-2 . VI Figure 12.2 Gray's Landing Locks and Dam, Monolith i...-20, Free Body Diagram - Sliding Stability, No1111aJ Operating with Hawser Force . ...... . . ........................ . ............... 12-6 .Figure 12.3 Gray's Landing Locks and Dam, Monolith L-20, Free Body Diagram - Sliding Stability, Maintenance Condition . . . ... .... 12-7 Figure 12.4 Gray's Landing Locks and Dam, Monolith L-20, Free Body Diagram - Overturning Stability, Maintenance Condition ..... 12-11 Figure 13.1 Demopolis Locks and Dam, Monolith L-17, Cross-Section . . . . . 13-2 Fiugre 13.2 Demopolis Locks and Dam, Monolith L-17, Free-Body Diagram - Sliding Stability, Maintenance Condition with Bacill . . ........ . . . . . . . .... ........... .......... .... 136 Figure 13.3 Demopolis Locks and Dam, Monolith L-17, Free-Body Diagram - Sliding Stability, Maintenance Condition Removing 20' BackfiJJ . . . ........ . ...................... 13-6 Figure 13.4 Demopolis Locks and Dam, Monolith L-17, Free-Body Diagram - Overturning Stability, Maintenance Condition wi.tb. Backfi:JJ . . . ................... ................... 13-13 Figure 13.5 Demopolis Locks and Dam, Mdnolith L-17, Free-Body Diagram - Overturning Stability,Maintenance Condition Removing_ 2Q' Backfill ... . . ............................ 13-14 Figure 14.1 Sliding Analysis - Beta vs Expected Factor of Safety .......... 14-3 Figure 14.2 Sliding AnaJysis - Beta (Point estimate) vs Beta (Taylor's series) ....................................... 14-3 Figure 14.3 Overturning - Beta vs Expected Factor of Safety ............. 14-8 List of Tabl·es Table 4.1 Probabilistic Moments for Peak Shear Strength .............. 4-11 Table 42 Probabilistic Moments for Residual Shear Strength ........... 4-14 Table 43 Selected Shale Strengths ................................ 4-15 Table 5.1 Locks and Dam No.2, Monolith M-16, Random Variables for Sliding Analysis ..................................... 5-5 Table 52 Locks and Dam No.2, Monolith M-16esults of Sliding Analyses Using Peak Strengths ........................... 5-16 Table 53 Locks and Dam No.2, Monolith M-16, Results of Sliding Analyses Using Residual Strengths . . .................. . . . . 5-17 Table 6.1 Locks and Dam No.2, Monolith M-16, Random Variables for Overturning Ana1ysis . . . ..... ......................... 6-2 vii Table 6.2 Locks and Dam No.2, Monolith M-16, Results of Overturning Analyses - Factor of Safety . . . . ... . . . . . . . . . . .... 6-6 Table 6.3 Locks and Dam No.2, Monolith M-16, Results of Overturning Analyses - Resultant Location .. . . . . . . . . . . . ...... 6-7 Table 7.1 Locks and Dam No.2, Monolith M-16, Random Variables for Bearing Analysis on Rock Foundation . .. . . . .............. 7-3 Table 7.2 Locks and Dam No.2, Monolith M-16, Results of Bearing Analyses for Rock Foundation ....... .. .. . . . . . . . . . . . . . ... . . 7-5 Table 7.3 L & D No.3, Man M-16, Results of Bearing Analysis for Assumed Sand Foundation .. .. . . . . . . . . . . . . . ..... . ..... . . . . 7-5 Table 8.1 Characteristics of Anchors at Locks and Dam No. . . . . .. ....... 8-2 Table 9.1 Locks and Dam No.3, Monolith M-20, Random Variables f<>r Sliding Analysis ...................... . . . . . . . . ....... 9-4 Table 9.2 Locks and Dam No.3, Monolith M-20, Results of Sliding Ana1yses Using Peak Strengths . . . . . . . . . .. . .. . . . . ...... ... . 9-5 Table 9.3 Locks and Dam No.3, Monolith M-20, Random Variables f<>r Overturning Analysis ... ............. . .. . ............. 9-6 Table 9.4 Locks and Dam No.3, Monolith M-20, Results of Overturning Analyses - Factor of Safety ....... . .... . . . . . . . . . 9-8 Table 9.5 Locks and Dam No.3, Monolith M-20, Results of Overturning Analyses - Resultant Location ... . ........ .... . .. 9-9 Table 10.1 Locks and Dam No.3, Monolith L-8, Random Variables for Sliding Analyses ................ .... . ... .. • . . . . .. . . . . . . 10-5 Table 10.2 Locks and Dam No.3, Monolith L-8, Results of Sliding Analyses Using Peak Strengths . . . ...... .................. 10-6 Table 10.3 Locks and Dam No.3, Monolith L-8, Results of Sliding Analyses Using Resi<b1al Strengths . . ........... . . ... . .. . .. 10-6 Table 10.4 Locks and Dam No.3, Monolith L-8, Random Variables Table 10.5 Locks and Dam No.3, Monolith L-8, Results of Overturning Analyses - Factor of Safety .............. ... .. 10-10 Table 10.6 Locks and Dam No.3, Monolith L-8, Results of Overturning Analyses - Resultant Location ....... . . ... . . ... 10-10 Table 10.7 Locks and Dam No.3, Monolith L-8, Random Variables for Bearing Analyses ... ... . . . . ................... . . . . . 10-11 Table 10.8 Locks and Dam No.3, Monolith L-8, Results of Bearing Analyses . . ..... . ..... . . . . . . . . . . . . ........ .. . .... . .... 10-12 Table 11.1 Locks and Dam No. 4, Dam Pier 3, Random Variables for viii Table 11.2 Locks and Dam No.4,Dam Pier 3, Results of Sliding Analyses Using Pe.aks Strengths . ........ ...... ....... .... 11-8 Table 11.3 Locks and Dam No.4, Dam Pier 3, Results of Sliding Analyses Using Residual Strengths . . . . . ...... ........ ..... 11-8 Table 11.4 Locks and Dam No.4,Dam Pier 3, Random Variables for Overturning Analysis . ......... . . ...... . ... . . ..... . .. 11-9 Table 11.5 Locks and Dam No.4, Dam Pier 3, Results of Overturning Analyses - Factor of Safety ........ . . . . ............. .... 11-11 Table 11.6 Locks and Dam No.4, Dam Pier 3, Results of Overturning Analyses - Resultant Location ........... ...... ....... . .. 11-11 Table 11.7 Locks and Dam No.4, Dam. Pier 3, Random Variables for Bearing, Analyses ... . ................. ...... ....... . .. 11-13 Table 11.8 Locks and Dam No.4, Dam Pier 3, Results of Bearing Table 12.1 Gray's Landing Locks and Dam, Monolith L-20, Random Variables for Sliding Analysis ............................ 12-4 Table 12..2 Gray's Landing Locks and Dam, Monolith L-20, Results of Sliding Analyses Using Peak Strengths . . . ...... . . . ......... 12-8 Table 12.3 Gray's Landing Locks and Dam, Monolith L-20, Results of Sliding Analyses Using Residual Strengths . ...• . ............ 12-9 Table 12.4 Gray's Landing Locks and Dam, Monolith L-20, Random V.ariables for Overturning Analyses . ................. . ... 12-10 Table 12.5 Gray's Landing Locks and Dam, Monolith L-20,Results of Overturning Analyses - Factor of Safety ................. 12-12 Table 12.6 Gray's Landing Locks and Dam, Monolith L-20, Results of OvertUming Analyses - Resultant Location ....... .......... 12-13 Table 12.7 Gray's LandingLocks and Dam, Monolith L-20, Random Variables for Bearing Analyses ...............·. .......... 12-14 Table 12.8 Gray's Landing Locks and Dam, Monolith L-20, Results of Bearing Analyses . .................................. 12-15 Table 13.1 Demopolis Locks and Dam, MonoliRandom Variables for 'Sliding Analyses ......................... ........... 13-4 Table 13.2 Demopolis Locks and Dam, Monolith L-17, Before Backfill Removed, Sliding AnaJysis Using Peak Strengths . . .................. . . . . . . ......... . ..... ..... 13-8 Table 13.3 Demopolis Locks and Dam, Monolith L-17, Before BackfiU Removal, Sliding Analysis Using Residual Strengths ........................................ . .... 13-9 Table 13.4 Demopolis Locks and Dam, Monolith L-17, After Backfill Removal,Sliding AnaJysis Using Peak Strengths ........ . ... 13-10 ix x Table 13.5 Demopolis Locks and Dam, Monolith L-17, Before Backfill Removed, Sliding Analysis Using Residual Stren.gths . . . . . ..... . . . . . . . . . . . . . . . . . . . . . . . ..... . . . . . . 13-11 Table 13.6 Demopolis Locks and Dam, Monolith L-17, Random Variables for Overturning Analysis .. . ............... .... . 13-12 Table 13.7 Demopolis Locks and Dam, Monolith L-17, Results of Overturning Analyses - Factor of Safety ...... ..... . . . . . ... 13-15 Table 13.8 Demopolis Locks and Dam, Monolith L-17, Results of Overturning Analyses - Resultant Location . . . . ............. 13-16 Table 14.1 Summary Results of Sliding Analyses . . . . . . . ............... 14-4 Table 14.2 Summary Results of Overturning Analyses . . ...... . . . . . .. . . 14-10-
dc.format.extent212 pages-
dc.format.mediumPDF/A-
dc.language.isoen_US-
dc.publisherInformation Technology Laboratory (U.S.)-
dc.relationhttp://acwc.sdp.sirsi.net/client/en_US/search/asset/1035241-
dc.relation.ispartofseriesContract Report (U.S. Army Engineer Waterways Experiment Station) ; ITL-92-4-
dc.rightsApproved for public release; distribution is unlimited.-
dc.sourceThe ERDC Library created this digital resource from scans of the Print Resource-
dc.subjectGravity structures-
dc.subjectHydraulic structures-
dc.subjectNavigation structures-
dc.subjectReliability-
dc.subjectResultant location analysis-
dc.subjectSliding analysis-
dc.subjectUplift-
dc.subjectLocks-
dc.subjectEvaluation-
dc.titleEngineering reliability of navigation structures-
dc.typeREPORT-
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