Reliability Based Optimal Design of Laterally Loaded Pile with Limited Residual Strain Energy Capacity
In this study, a general approach to the reliability
based limit analysis of laterally loaded piles is presented. In
engineering practice the uncertainties play a very important role. The
aim of this study is to evaluate the lateral load capacity of free-head
and fixed-head long pile when plastic limit analysis is considered. In
addition to the plastic limit analysis to control the plastic behaviour
of the structure, uncertain bound on the complementary strain energy
of the residual forces is also applied. This bound has significant effect
for the load parameter. The solution to reliability-based problems is
obtained by a computer program which is governed by the reliability
index calculation.
[1] K. Marti., G. Stöckl "Stochastic linear programming methods in limit
load analysis and optimal plastic design under stochastic uncertainty",
ZAMM, 84, 10-11, 2004, 666-677.
[2] K. Marti “Stochastic Optimization Methods”, Springer-Verlag, Berlin-
Heidelberg, 2005.
[3] K. Marti “Structural Analysis and Optimal Design under Stochastic
Uncertainty with Quadratic cost Functions”, in Civil Engineering
Computations: Tools and Techniques, B.H.V. Topping, (Editor), Saxe-
Coburg Publications, Stirlingshire, United Kingdom, 2007, 173-198.
[4] S. Kaliszky, J. Lógó “Elasto-Plastic Analysis and Optimal Design with
Limited Plastic Deformations and Displacements”, In: Structural and
Multidisciplinary Optimization, ed. by N. Olhoff, G.I.N. Rozvany,
Pergamon Press, 1995, 465-470.
[5] J. Lógó, M. Movahedi Rad, J. Knabel, P. Tauzowski “Reliability based
design of frames with limited residual strain energy capacity” Periodica
Polytechnica-Civil Engineering 55:(1) , 2011, 13-20.
[6] H. Y. Qin, E. Y. N. Oh, W. D. Guo and P.F. Dai “Upper Bound Limit
Analysis of Lateral Pile Capacitys” Proceedings of Pile, June2-4, 2013.
[7] S. Kaliszky, J. Lógó “Elasto-Plastic Analysis and Optimal Design with
Limited Plastic Deformations and Displacements”, In: Structural and
Multidisciplinary Optimization, ed. by N. Olhoff, G.I.N. Rozvany,
Pergamon Press, 1995, 465-470.
[8] Guo WD. “Laterally loaded rigid piles with rotational constraints”
Computers and Geotechnics, 54, 2013, 72-83.
[9] K. Kirchner and T. Vietor, "Methodological Support for the Early Stages
of Vehicle Body Development: A Stochastic Design Approach for
Passenger Vehicles", in Proceedings of the Twelfth International
Conference on Civil, Structural and Environmental Engineering
Computing, B.H.V. Topping, L.F. Costa Neves, R.C. Barros, (Editors),
Civil-Comp Press, Stirlingshire, United Kingdom, paper 54, 2009.
[10] Kazinczy G. “Experiments with Clamped Beams”, Betonszemle 2, No.
4, 5, 6, 1914, 68-71, 83-87, 101-104.
[11] Kaliszky S. “Plasticity Theory and Engineering Applications”,
Akadémiai Kiadó, Budapest, 1989.
[12] S. Kaliszky, J. Lógó “Elasto-Plastic Analysis and Optimal Design with
Limited Plastic Deformations and Displacements”, In: Structural and
Multidisciplinary Optimization, ed. by N. Olhoff, G.I.N. Rozvany,
Pergamon Press, 1995, 465-470.
[13] S. Kaliszky, J. Lógó “Optimal Plastic Limit and Shakedown Design of
Bar Structures with Constraints on Plastic Deformation”, Engineering
Structures, 19 (1), 1997, 19-27.
[14] B.B. Broms, J.O. Silberman “Skin Friction Resistance for Piles in
Cohesionless soils”, Sols-soils, 1964, 10-23.
[15] Murff, J. D., and Hamilton, J. M. “P-ultimate for undrained analysis of
laterally loaded piles”. Journal of Geotechnical Engineering, ASCE,
119(1), 1993, 91-107.
[16] Guo, W. D. “On limiting force profile, slip depth and response of lateral
piles”, Computers and Geotechnics, 33(1), 2006, 47-67.
[17] Guo, W. D. “Theory and practice of pile foundations” Taylor and
Francis, London, 2012.
[18] Guo, W. D. “Simple model for nonlinear response of 52 laterally loaded
piles” Journal of Geotechnical and Geoenvironmental Engineering,
ASCE, 139(2), 2013, 234-252.
[19] B.B Broms “Lateral resistance of piles in cohesiveless soils” Journal of
Soil Mechanics and Foundation Engineering, ASCE, 90(3), 1964, 123-
156.
[20] H. Matlock “Correlations for design of laterally loaded piles in soft
clay” Proceedings of Second Annual Offshore Technology Conference,
Houston, Texas, Paper 1204, 1970, 577-594.
[21] L. C. Reese, W. R. Cox, and F. D. Koop “Field testing and analysis of
laterally loaded piles in stiff clay” Proc., 7th Annual OTC, Houston,
Texas, 1975, 672-690.
[22] M. Movahedi Rad, Z. Fehér “Plastic limit analysis of lateral piles for
uncertain conditions” Proceedings of the Twelfth International
Conference on Computational Structures Technology, B.H.V. Topping
and P. Iványi, (Editors), Civil-Comp Press, Stirlingshire, Scotland,
2014, paper 137.
[1] K. Marti., G. Stöckl "Stochastic linear programming methods in limit
load analysis and optimal plastic design under stochastic uncertainty",
ZAMM, 84, 10-11, 2004, 666-677.
[2] K. Marti “Stochastic Optimization Methods”, Springer-Verlag, Berlin-
Heidelberg, 2005.
[3] K. Marti “Structural Analysis and Optimal Design under Stochastic
Uncertainty with Quadratic cost Functions”, in Civil Engineering
Computations: Tools and Techniques, B.H.V. Topping, (Editor), Saxe-
Coburg Publications, Stirlingshire, United Kingdom, 2007, 173-198.
[4] S. Kaliszky, J. Lógó “Elasto-Plastic Analysis and Optimal Design with
Limited Plastic Deformations and Displacements”, In: Structural and
Multidisciplinary Optimization, ed. by N. Olhoff, G.I.N. Rozvany,
Pergamon Press, 1995, 465-470.
[5] J. Lógó, M. Movahedi Rad, J. Knabel, P. Tauzowski “Reliability based
design of frames with limited residual strain energy capacity” Periodica
Polytechnica-Civil Engineering 55:(1) , 2011, 13-20.
[6] H. Y. Qin, E. Y. N. Oh, W. D. Guo and P.F. Dai “Upper Bound Limit
Analysis of Lateral Pile Capacitys” Proceedings of Pile, June2-4, 2013.
[7] S. Kaliszky, J. Lógó “Elasto-Plastic Analysis and Optimal Design with
Limited Plastic Deformations and Displacements”, In: Structural and
Multidisciplinary Optimization, ed. by N. Olhoff, G.I.N. Rozvany,
Pergamon Press, 1995, 465-470.
[8] Guo WD. “Laterally loaded rigid piles with rotational constraints”
Computers and Geotechnics, 54, 2013, 72-83.
[9] K. Kirchner and T. Vietor, "Methodological Support for the Early Stages
of Vehicle Body Development: A Stochastic Design Approach for
Passenger Vehicles", in Proceedings of the Twelfth International
Conference on Civil, Structural and Environmental Engineering
Computing, B.H.V. Topping, L.F. Costa Neves, R.C. Barros, (Editors),
Civil-Comp Press, Stirlingshire, United Kingdom, paper 54, 2009.
[10] Kazinczy G. “Experiments with Clamped Beams”, Betonszemle 2, No.
4, 5, 6, 1914, 68-71, 83-87, 101-104.
[11] Kaliszky S. “Plasticity Theory and Engineering Applications”,
Akadémiai Kiadó, Budapest, 1989.
[12] S. Kaliszky, J. Lógó “Elasto-Plastic Analysis and Optimal Design with
Limited Plastic Deformations and Displacements”, In: Structural and
Multidisciplinary Optimization, ed. by N. Olhoff, G.I.N. Rozvany,
Pergamon Press, 1995, 465-470.
[13] S. Kaliszky, J. Lógó “Optimal Plastic Limit and Shakedown Design of
Bar Structures with Constraints on Plastic Deformation”, Engineering
Structures, 19 (1), 1997, 19-27.
[14] B.B. Broms, J.O. Silberman “Skin Friction Resistance for Piles in
Cohesionless soils”, Sols-soils, 1964, 10-23.
[15] Murff, J. D., and Hamilton, J. M. “P-ultimate for undrained analysis of
laterally loaded piles”. Journal of Geotechnical Engineering, ASCE,
119(1), 1993, 91-107.
[16] Guo, W. D. “On limiting force profile, slip depth and response of lateral
piles”, Computers and Geotechnics, 33(1), 2006, 47-67.
[17] Guo, W. D. “Theory and practice of pile foundations” Taylor and
Francis, London, 2012.
[18] Guo, W. D. “Simple model for nonlinear response of 52 laterally loaded
piles” Journal of Geotechnical and Geoenvironmental Engineering,
ASCE, 139(2), 2013, 234-252.
[19] B.B Broms “Lateral resistance of piles in cohesiveless soils” Journal of
Soil Mechanics and Foundation Engineering, ASCE, 90(3), 1964, 123-
156.
[20] H. Matlock “Correlations for design of laterally loaded piles in soft
clay” Proceedings of Second Annual Offshore Technology Conference,
Houston, Texas, Paper 1204, 1970, 577-594.
[21] L. C. Reese, W. R. Cox, and F. D. Koop “Field testing and analysis of
laterally loaded piles in stiff clay” Proc., 7th Annual OTC, Houston,
Texas, 1975, 672-690.
[22] M. Movahedi Rad, Z. Fehér “Plastic limit analysis of lateral piles for
uncertain conditions” Proceedings of the Twelfth International
Conference on Computational Structures Technology, B.H.V. Topping
and P. Iványi, (Editors), Civil-Comp Press, Stirlingshire, Scotland,
2014, paper 137.
@article{"International Journal of Architectural, Civil and Construction Sciences:71331", author = "M. Movahedi Rad", title = "Reliability Based Optimal Design of Laterally Loaded Pile with Limited Residual Strain Energy Capacity", abstract = "In this study, a general approach to the reliability
based limit analysis of laterally loaded piles is presented. In
engineering practice the uncertainties play a very important role. The
aim of this study is to evaluate the lateral load capacity of free-head
and fixed-head long pile when plastic limit analysis is considered. In
addition to the plastic limit analysis to control the plastic behaviour
of the structure, uncertain bound on the complementary strain energy
of the residual forces is also applied. This bound has significant effect
for the load parameter. The solution to reliability-based problems is
obtained by a computer program which is governed by the reliability
index calculation.", keywords = "Reliability, laterally loaded pile, residual strain
energy, probability, limit analysis.", volume = "9", number = "11", pages = "1440-6", }
