Skip to main content
Log in

Reliability Analysis of Anchor Foundations Subject to Vertical Uplift Forces

  • Original Paper
  • Published:
Indian Geotechnical Journal Aims and scope Submit manuscript

Abstract

Foundations of transmission towers are subject to uplift forces, and the designs are based on deterministic procedures. Present design guidelines on design of anchor foundations are discussed, and limitations as well as need for incorporation of reliability-based design are brought out. Reliability analysis of anchor foundations subjected to vertical uplift forces using the first-order reliability method is performed. The results of the reliability analysis for different distributions of shear strength parameters of soil and the uplift loads in terms of Hasofer–Lind reliability index have been presented. Load and resistance factors have also been presented to enable reliability-based design. A design example is presented to compare the results obtained from this study. The results show that reliability-based approach can lead to an economic design than the conventional factor of safety approach. It is suggested that codes need to incorporate reliability-based designs in practice.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Balla A (1961) The resistance of breaking-out of mushroom foundations for pylons. In: Proceedings 5th international conference on soil mechanics and foundation engineering, Paris, vol 1, pp 569–576

  2. Bathurst RJ (2015) LRFD calibration of simple limit state functions in geotechnical soil-structure design. In: Phoon KK, Ching J (eds) Risk and reliability in geotechnical engineering. CRC Press, Boca Raton, pp 339–354

    Google Scholar 

  3. Bathurst RJ, Allen TM, Nowak AS (2008) Calibration concepts for load and resistance factor design (LRFD) of reinforced soil walls. Can Geotech J 45(10):1377–1392

    Article  Google Scholar 

  4. Chattopadhyay BC, Pise PJ (1986) Breakout resistance of horizontal anchors in sand. Soils Found 26(4):16–22

    Article  Google Scholar 

  5. Cherubini C (1997) Data and considerations on the variability of geotechnical properties of soils. In: Proceedings of the international conference on safety and reliability (ESREL) 97, Lisbon, vol 2, pp 583–1591

  6. Cherubini C (2000) Reliability evaluation of shallow foundation bearing capacity on C′, ϕ′ soils. Can Geotech J 37:264–269

    Google Scholar 

  7. Choudhary AK, Pandit B, Babu GLS (2017) Pullout behaviour of strip anchor in soil using FLAC2D. In: Indian GEOTECHNICAL CONFERENce 2017 GeoNEst, Th16_231

  8. Das BM (1980) A Procedure for estimation of ultimate uplift capacity of foundations in clay. Soils Found 20(1):77–82

    Article  Google Scholar 

  9. Der Kiureghian A, Liu PL (1986) Structural reliability under incomplete probability information. J Eng Mech 112(1):85–104

    Article  Google Scholar 

  10. EN 50341-1:2012 (2012) Overhead electrical lines exceeding AC 1 kV—part 1: general requirements—common specifications. CENELEC, European Committee for Electrotechnical Standardization, Brussels

  11. Fenton GA, Griffiths DV (2008) Risk assessment in geotechnical engineering. Wiley, Hoboken

    Book  Google Scholar 

  12. Haldar A, Mahadevan S (2000) Probability, reliability, and statistical methods in engineering design. Wiley, New York

    Google Scholar 

  13. Harr ME (1987) Reliability-based design in civil engineering. McGraw-Hill, New York

    Google Scholar 

  14. Hasofer AM, Lind NC (1974) Exact and invariant second-moment code format. J Eng Mech ASCE 100(1):111–121

    Google Scholar 

  15. IEEE std 691-2001 (2001) IEEE guide for transmission structure foundation design and testing. In: IEEE Power engineering society and ASCE. The Institute of Electrical and Electronics Engineers, Inc

  16. Ilamparuthi K, Muthukrishnaiah K (1999) Anchors in sand bed: delineation of rupture surface. Ocean Eng 26(12):1249–1273

    Article  Google Scholar 

  17. IS:4091-1979. (1980) Code of practice for design and construction of foundations for transmission line towers and poles. Bureau of Indian Standards, New Delhi

  18. JCSS (2001) Probabilistic model code: part 1—BASIS of design. The Joint Committee on Structural Safety

  19. Krishnaswamy NR, Parashar SP (1994) Uplift behaviour of plate anchors with geosynthetics. Geotext Geomembr 13(2):67–89

    Article  Google Scholar 

  20. Kulhawy FH, Phoon KK, Prakoso WA, Hirany A (2006) Reliability-based design of foundations for transmission line structures. In: Nickerson R E (ed) Electrical submission line and substation structures, ASCE, pp 184-–194

  21. Liu M, Liu J, Gao H (2010) Displacement field of an uplifting anchor in sand. In: Geotechnical Special Publication No. 205. GeoSanghai 2010 international conference ASCE, pp 261–266

  22. Low BK, Tang WH (1997) Efficient reliability evaluation using spreadsheet. J Eng Mech 123(7):749–752

    Article  Google Scholar 

  23. Low BK, Tang WH (2004) Reliability analysis using object oriented constrained optimization. Struct Saf 26:69–89

    Article  Google Scholar 

  24. Low BK, Tan WH (2007) Efficient spreadsheet algorithm for first-order reliability method. J Eng Mech ASCE 133(12):1378–1387

    Article  Google Scholar 

  25. Low BK (2017) Insights from reliability-based design to complement load and resistance factor design approach. J Geotech Geoenviron Eng ASCE 143(11):04017089: 1–12

    Article  Google Scholar 

  26. Lumb P (1970) Safety factors and the probability distribution of soil strength. Can Geotech J 7(3):225–242

    Article  Google Scholar 

  27. Majer P (1955) Zur Berechnung von Zugfundamenten. Osterr Bauz 10(5):85–90 (in German)

    Google Scholar 

  28. Merifield RS, Sloan SW (2006) The ultimate pullout capacity of anchors in frictional soils. Can Geotech J 43(8):852–868

    Article  Google Scholar 

  29. Meyerhof GG, Adams JI (1968) The ultimate uplift capacity of foundations. Can Geotech J 5(4):225–244

    Article  Google Scholar 

  30. Mors H (1959) The behaviour of mast foundations subject to tensile forces. Bautechnik 10:367–378

    Google Scholar 

  31. Phoon KK, Kulhawy FH, Grigoriu MD (1995) Reliability based design of foundations for transmission line structures. Rep. No. TR-105000, Electric Power Research Institute, Palo Alto, Calif

  32. Phoon KK, Kulhawy FH, Grigoriu MD (2003) Development of a reliability-based design framework for transmission line structure foundations. J Geotech Geoenviron Eng 129(9):798–806

    Article  Google Scholar 

  33. Phoon KK, Kulhawy FH, Grigoriu MD (2003) Multiple resistance factor design for shallow transmission line structure foundations. J Geotech Geoenviron Eng 129(9):807–818

    Article  Google Scholar 

  34. Phoon KK, Kulhawy FH (1999) Characterization of geotechnical variability. Can Geotech J 36(4):612–624

    Article  Google Scholar 

  35. Phoon KK, Kulhawy FH (1999) Evaluation of geotechnical variability. Can Geotech J 36(4):625–639

    Article  Google Scholar 

  36. Rackwitz R, Fiessler B (1978) Structural reliability under combined random load sequences. Comput Struct 9(5):484–494

    Article  Google Scholar 

  37. Rowe RK, Davis EH (1982) The behaviour of anchor plates in sand. Géotechnique 32(1):25–41

    Article  Google Scholar 

  38. Shinozuka M (1983) Basic analysis of structural safety. J Struct Div ASCE 109(3):721–740

    Article  Google Scholar 

  39. Transmission Line Manual (1998) Publication No. 268. CBIP, New Delhi

  40. Turner EA (1962) Uplift resistance of transmission tower footings. J Power Div Proc ASCE 88:17–32

    Google Scholar 

  41. Vesic AS (1971) Breakout resistance of objects embedded in ocean bottom. J Soil Mech Found Div ASCE 97(9):1183–1205

    Google Scholar 

  42. Youssef Abdel Massih DS, Soubra AH, Low BK (2008) Reliability-based analysis and design of strip footings against bearing capacity failure. J Geotech Geoenviron Eng ASCE 134(7):917–928

    Article  Google Scholar 

  43. Yuceman MS, Tang WH, Ang AHS (1973) A probabilistic study of safety and design of earth slopes. Civil engineering studies, structural research series, vol 402. University of Illinois, Urbana

    Google Scholar 

Download references

Funding

Not applicable.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sougata Mukherjee.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mukherjee, S., Sivakumar Babu, G.L. Reliability Analysis of Anchor Foundations Subject to Vertical Uplift Forces. Indian Geotech J 50, 982–993 (2020). https://doi.org/10.1007/s40098-020-00442-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40098-020-00442-2

Keywords

Navigation