Geomechanics and Engineering

  • 제14권1호
  • /
  • Pages.61-69
  • /
  • 2018
  • /
  • 2005-307X(pISSN)
  • /
  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A new model for T-shaped combined footings part II: Mathematical model for design

  • 투고 : 2016.04.12
  • 심사 : 2017.06.14
  • 발행 : 2018.01.20
⟨ 이전 논문 다음 논문 ⟩

초록

The first part shows the optimal contact surface for T-shaped combined footings to obtain the most economical dimensioning on the soil (optimal area). This paper presents the second part of a new model for T-shaped combined footings, this part shows a the mathematical model for design of such foundations subject to axial load and moments in two directions to each column considering the soil real pressure acting on the contact surface of the footing with one or two property lines restricted, the pressure is presented in terms of an axial load, moment around the axis "X" and moment around the axis "Y" to each column, and the methodology is developed using the principle that the derived of the moment is the shear force. The classic model considers an axial load and a moment around the axis "X" (transverse axis) applied to each column, i.e., the resultant force from the applied loads is located on the axis "Y" (longitudinal axis), and its position must match with the geometric center of the footing, and when the axial load and moments in two directions are presented, the maximum pressure and uniform applied throughout the contact surface of the footing is considered the same. To illustrate the validity of the new model, a numerical example is presented to obtain the design for T-shaped combined footings subjected to an axial load and moments in two directions applied to each column. The mathematical approach suggested in this paper produces results that have a tangible accuracy for all problems.

키워드

참고문헌

  1. ACI 318S-13 (American Concrete Institute) (2013), Building Code Requirements for Structural Concrete and Commentary, ACI Committee 318.
  2. Agrawal, R. and Hora, M.S. (2012), "Nonlinear interaction behaviour of infilled frame-isolated footings-soil system subjected to seismic loading", Struct. Eng. Mech., 44(1), 85-107. https://doi.org/10.12989/sem.2012.44.1.085
  3. Bowles, J.E. (2001), Foundation Analysis and Design, McGraw-Hill, New York, U.S.A.
  4. Calabera-Ruiz, J. (2000), Calculo de Estructuras de Cimentacion, Intemac Ediciones, Mexico.
  5. Chen, W.R., Chen, C.S. and Yu, S.Y. (2011), "Nonlinear vibration of hybrid composite plates on elastic foundations", Struct. Eng. Mech., 37(4), 367-383. https://doi.org/10.12989/sem.2011.37.4.367
  6. Cure, E., Sadoglu, E., Turker, E. and Uzuner, B.A. (2014), "Decrease trends of ultimate loads of eccentrically loaded model strip footings close to a slope", Geomech. Eng., 6(5), 469-485. https://doi.org/10.12989/gae.2014.6.5.469
  7. Das, B.M., Sordo-Zabay, E. and Arrioja-Juarez, R. (2006), Principios de Ingenieria de Cimentaciones, Cengage Learning Latin America, Mexico.
  8. Dixit, M.S. and Patil, K.A. (2013), "Experimental estimate of $N{\gamma}$ values and corresponding settlements for square footings on finite layer of sand", Geomech. Eng., 5(4), 363-377. https://doi.org/10.12989/gae.2013.5.4.363
  9. ErzIn, Y. and Gul, T.O. (2013), "The use of neural networks for the prediction of the settlement of pad footings on cohesionless soils based on standard penetration test", Geomech. Eng., 5(6), 541-564. https://doi.org/10.12989/gae.2013.5.6.541
  10. Gambhir, M.L. (2008), Fundamentals of Reinforced Concrete Design, Prentice-Hall of India Private Limited.
  11. Gere, J.M. and Goodno, B.J. (2009), Mecanica de Materiales, Cengage Learning, Mexico.
  12. Gonzalez-Cuevas, O.M. and Robles-Fernandez-Villegas, F. (2005), Aspectos fundamentales del concreto reforzado, Limusa, Mexico.
  13. Guler, K. and Celep, Z. (2005), "Response of a rectangular platecolumn system on a tensionless winkler foundation subjected to static and dynamic loads", Struct. Eng. Mech., 21(6), 699-712. https://doi.org/10.12989/sem.2005.21.6.699
  14. Kurian, N.P. (2005), Design of Foundation Systems, Alpha Science Int'l Ltd., India.
  15. Luevanos-Rojas, A. (2014a), "Design of isolated footings of circular form using a new model", Struct. Eng. Mech., 52(4), 767-786. https://doi.org/10.12989/sem.2014.52.4.767
  16. Luevanos-Rojas, A. (2014b), "Design of boundary combined footings of rectangular shape using a new model", Dyna-Colombia, 81(188), 199-208.
  17. Luevanos-Rojas, A. (2015), "Design of boundary combined footings of trapezoidal form using a new model", Struct. Eng. Mech., 56(5), 745-765. https://doi.org/10.12989/sem.2015.56.5.745
  18. Luevanos-Rojas, A. (2016a), "A comparative study for the design of rectangular and circular isolated footings using new models", Dyna-Colombia, 83(196), 149-158.
  19. Luevanos-Rojas, A. (2016b), "Un nuevo modelo para diseno de zapatas combinadas rectangulares de lindero con dos lados opuestos restringidos", Revista ALCONPAT, 6(2), 172-187.
  20. Luevanos-Rojas, A., Faudoa-Herrera, J.G., Andrade-Vallejo, R.A. and Cano-Alvarez M.A. (2013), "Design of isolated footings of rectangular form using a new model", J. Innov. Comput. Inform. Control, 9(10), 4001-4022.
  21. Maheshwari, P. and Khatri, S. (2012), "Influence of inclusion of geosynthetic layer on response of combined footings on stone column reinforced earth beds", Geomech. Eng., 4(4), 263-279. https://doi.org/10.12989/gae.2012.4.4.263
  22. McCormac, J.C. and Brown, R.H. (2013), Design of Reinforced Concrete, John Wiley & Sons, New York.
  23. Mohamed, F.M.O., Vanapalli, S.K. and Saatcioglu, M. (2013), "Generalized schmertmann equation for settlement estimation of shallow footings in saturated and unsaturated sands", Geomech. Eng., 5(4), 363-377. https://doi.org/10.12989/gae.2013.5.4.363
  24. Orbanich, C.J. and Ortega, N.F. (2013), "Analysis of elastic foundation plates with internal and perimetric stiffening beams on elastic foundations by using finite differences method", Struct. Eng. Mech., 45(2), 169-182. https://doi.org/10.12989/sem.2013.45.2.169
  25. Orbanich, C.J., Dominguez, P.N. and Ortega, N.F. (2012), "Strenghtening and repair of concrete foundation beams whit fiber composite materials", MaterStruct., 45, 1693-1704.
  26. Punmia, B.C., Kumar Jain, A. and Kumar Jain, A. (2007), Limit State Design of Reinforced Concrete, Laxmi Publications (P) Limited, New Delhi, India.
  27. Rad, A.B. (2012), "Static response of 2-D functionally graded circular plate with gradient thickness and elastic foundations to compound loads", Struct. Eng. Mech., 44(2), 139-161. https://doi.org/10.12989/sem.2012.44.2.139
  28. Shahin, M.A. and Cheung, E.M. (2011), "Stochastic design charts for bearing capacity of strip footings", Geomech. Eng., 3(2), 153-167. https://doi.org/10.12989/gae.2011.3.2.153
  29. Smith-Pardo, J.P. (2011), "Performance-based framework for soilstructure systems using simplified rocking foundation models", Struct. Eng. Mech., 40(6), 763-782. https://doi.org/10.12989/sem.2011.40.6.763
  30. Tomlinson, M.J. (2008), Cimentaciones, Diseno y Construccion, Trillas, Mexico.
  31. Uncuoglu, E. (2015), "The bearing capacity of square footings on a sand layer overlying clay", Geomech. Eng., 9(3), 287-311. https://doi.org/10.12989/gae.2015.9.3.287
  32. Varghese, P.C. (2009), Design of Reinforced Concrete Foundations, PHI Learning Pvt. Ltd., New Delhi, India.
  33. Zhang, L., Zhao, M.H., Xiao, Y. and Ma, B.H. (2011), "Nonlinear analysis of finite beam resting on winkler with consideration of beam-soil interface resistance effect", Struct. Eng. Mech., 38(5), 573-592. https://doi.org/10.12989/sem.2011.38.5.573