A New Proposal for Adjusting the Load-Settlement and Ultimate Load Using the Logistic Adjustment


  • Pedro Oliveira Universidade Federal de Pernambuco, Av. Prof. Moraes Rego, Recife, 50670-901, Brazil
  • Silvio Ferreira Universidade Federal de Pernambuco, Av. Prof. Moraes Rego, Recife, 50670-901, Brazil
  • Joaquim Oliveira Universidade Católica de Pernambuco, Rua do Príncipe, Recife, 50050-900, Brazil
  • Maiara Pôrto Universidade Católica de Pernambuco, Rua do Príncipe, Recife, 50050-900, Brazi


Soft Soil, Building Foundation, Piles, Logistic Growth


The subsoil of the city of Recife is heterogeneous with deposits of soft soil scattered over the plain of the city at least 50% of its extension. In addition to layers of soft materials, stratigraphic profiles containing shells, coral fragments, sands and silts are found. Due to this heterogeneity of the subsoil profile and the real state increase, there was a considerable increase in constructions associated with land with low resistance. This fact favors the use of different types of foundation for each type of construction/terrain. The present work aims to propose a logistic adjustment developed by Verhulst, to be used as an adjustment of the load-settlement curve and to obtain the rupture load from static load tests. In order to validate the proposal, data from an infrastructure construction executed in Recife-PE, Brazil, with 822 laminated metallic piles in soft soil with low bearing capacity, considering the subsoil characterization tests (Standard Penetration Test), six static load tests (SLT) and nine dynamic load tests (DLT). The adjustment of the load-settlement curve obtained by the proposal shows that the load capacity values ??are very close to those measured by the DLT, while the average of the rupture loads obtained by the Van Der Veen method is double that found by the DLT; and coefficient of variation seven times greater. It is the first time that the Logistic Adjustment is used for applications in foundations and the proposal is very promising.


M. S. Oliveira, F. M. A. Rocha, S. R. M. Ferreira, J. T. R. Oliveira. “Identificação e Classificação de Perfis Típicos de Solos na Planície do Recife,” in Proc. XVIII Congresso Brasileiro de Mecânica dos Solos e Engenharia Geoténica, 2016.

J. A. Gusmão Filho. “Fundações do Conhecimento Geológico à Prática de Engenharia”. Recife, BRA: Editora Universitária, 1998, pp.345.

A. J. Costa. “O subsolo do Recife. Instituto Tecnológico de Pernambuco,” Separata do Boletim Técnico da Secretária de Viação e Obras, 1960.

J. S. Souto Maior. “Análise em fundações de estacas metálicas de seções variáveis na Região Metropolitana do Recife.” Senior Project, UNICAP, Recife, Brasil, 2017.

R. A. M. Santos. “Análise dos tipos de Fundações na Região Metropolitana do Recife de 2000 a 2010.” Senior Project, Universidade de Pernambuco, Recife, Brasil, 2011.

P. E. S. Oliveira. “Análise de provas de carga e confiabilidade para Edifício comercial na Região Metropolitana do Recife”. M.Sc. Thesis, UFPE, Recife, Brasil, 2013.

Q. Q. Zhang, S. C. Li, Z. M. Zhang. (2013). “Influence of reaction piles on test pile response in a static load test”. Journal of Zhejiang University Science A, vol. 14(3), pp. 198-205, 2013.

ABNT. “Projeto e execução de fundações. Associação Brasileira de Normas Técnicas”, NBR 6122, Rio de Janeiro, Brasil, 91p, 2010

V. Caputo and C. Viggiani. “Pile foundation analysis: a simple approach to non linearity effects”. Rivista Italiana di Geotecnica, vol. 18(2), pp. 32-51, 1984.

A. Mandolini and C. Viggiani. “Settlement of piled foundations”. Geotechnique vol. 47(4), pp. 791-816, 1997.

C. Van Der Veen. “The Bearing Capacity of a Pile,” in Proc. 3rd International Conference on Soil Mechanics and Foundation Engineering, 1953, pp; 84-90.

N. Aoki. Class Lecture, Topic: “Considerações sobre a capacidade de carga de estacas isoladas”. Faculty of Engineering, Universidade Gama Filho, Rio de Janeiro, 1976.

F. K. Chin. “Estimation of the Ultimate Load of Piles from Tests nor Carried to Failure,” in Proc. 2nd Southeast Conference on Soil Engineering, 1970, pp. 91-92.

L. Décourt. “A ruptura de fundações avaliada com base no conceito de rigidez,” in Proc. III Seminário de Engenharia de Fundações Especiais e Geotecnia, 1996, pp. 215-224.

P. F. Verhulst. “Notice sur la loi que la population poursuit dans son accroissement”. Correspondance Mathématique et Physique, vol.10, pp. 113–121, 1838.

R. Pearl and L. J. Reed. “On the rate of growth of the population of the United States since 1790 and its mathematical representation,” in Proceedings of the National Academy of Sciences, 1920.

U. Forys, A. Marciniak-Czochra. “Logistic equations in tumour growth modelling”. International Journal of Applied Mathematics and Computer Science (2003).

J. Sápi, D. A. Drexler, L. Kovács. (2015) “Comparison of mathematical tumor growth models,” in Proc. 13th International Symposium on Intelligent Systems and Informatics, 2015, pp.17–19.

H. Murphy, H. Jaafari and H. M. Dobrovolny. “Differences in predictions of ODE models of tumor growth: a cautionary example.” BMC Cancer, vol. 16(1), pp. 1-10, 2016.

G. Young, P. K. Maini, M. Nakamaye. “Analysis of a Risk-Based Model for the Growth of AIDS Infection.” Mathematical Biosciences, vol.106, pp.129-150, 1991.

S. Harroudi, K. Allali. “The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase,” in Proc. MATEC Web Conferences, EDP Sciences, 2018, pp. 01012.

N. J. Gotelli. Ecologia. Londrina, BRA: Editora Planta. 2009, pp. 288.

W. E. Boyce. Equações diferenciais elementares e problemas de valores de contorno. Rio de Janeiro, BRA: LTC, 2015.

M. L. Cain. Ecologia. Porto Alegre, BRA: ArtMed. 2017.

P. F. Verhulst. “Recherches mathématiques sur la loi d’accroissement de la population”. Nouveaux memoires de l'academie royale des sciences, vol. 18, pp. 1–45, 1845.

J. M. Duncan. “Factors of safety of reliability in geotechnical engineering”. Journal of Geotechnical in Geoenvironmental Engineering, v.126(4), pp. 307-316, 2000.




How to Cite

Pedro Oliveira, Silvio Ferreira, Joaquim Oliveira, & Maiara Pôrto. (2022). A New Proposal for Adjusting the Load-Settlement and Ultimate Load Using the Logistic Adjustment. American Scientific Research Journal for Engineering, Technology, and Sciences, 89(1), 150–168. Retrieved from https://www.asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/7885