Steel and Composite Structures

  • 제30권2호
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  • Pages.109-121
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  • 2019
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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Modeling for the strap combined footings Part II: Mathematical model for design

  • 투고 : 2018.05.03
  • 심사 : 2019.01.16
  • 발행 : 2019.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents the second part of the modeling for the strap combined footings, this part shows a mathematical model for design of strap combined footings 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 for one and/or two property lines of sides opposite 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 first part shows the optimal contact surface for the strap combined footings to obtain the most economical dimensioning on the soil (optimal area). 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. A numerical example is presented to obtain the design of strap combined footings subject 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 and it can also be used for rectangular and T-shaped combined footings.

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참고문헌

  1. ACI 318S-14 (American Concrete Institute) (2014), Building Code Requirements for Structural Concrete and Commentary, 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., Int. J., 44(1), 85-107. https://doi.org/10.12989/sem.2012.44.1.085
  3. Anil, O, Akbas, S.O., BabagIray, S., Gel, A.C. and Durucan, C. (2017), "Experimental and finite element analyses of footings of varying shapes on sand", Geomech. Eng., Int. J., 12(2), 223-238. https://doi.org/10.12989/gae.2017.12.2.223
  4. Bowles, J.E. (2001), Foundation Analysis and Design, McGraw-Hill, New York, NY, USA.
  5. Calavera-Ruiz, J. (2000), Calculo de Estructuras de Cimentacion, Intemac Ediciones, Mexico.
  6. Chen, W-R., Chen, C-S and Yu, S-Y. (2011), "Nonlinear vibration of hybrid composite plates on elastic foundations", Struct. Eng. Mech., Int. J., 37(4), 367-383. https://doi.org/10.12989/sem.2011.37.4.367
  7. 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., Int. J., 6(5), 469-485. https://doi.org/10.12989/gae.2014.6.5.469
  8. Das, B.M., Sordo-Zabay, E. and Arrioja-Juarez, R. (2006), Principios de ingenieria de cimentaciones, Cengage Learning Latin America, Mexico.
  9. 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., Int. J., 5(4), 363-377. https://doi.org/10.12989/gae.2013.5.4.363
  10. 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., Int. J., 5(6), 541-564. https://doi.org/10.12989/gae.2013.5.6.541
  11. Gambhir, M.L. (2008), Fundamentals of Reinforced Concrete Design, Prentice-Hall, of India Private Limited.
  12. Gere, J.M. and Goodno, B.J. (2009), Mecanica de Materiales, Cengage Learning, Mexico.
  13. Gonzalez-Cuevas, O.M. and Robles-Fernandez-Villegas, F. (2005), Aspectos fundamentales del concreto reforzado, Limusa, Mexico.
  14. 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., Int. J., 21(6), 699-712. https://doi.org/10.12989/sem.2005.21.6.699
  15. Khatri, V.N., Debbarma, S.P., Dutta, R.K. and Mohanty, B. (2017), "Pressure-settlement behavior of square and rectangular skirted footings resting on sand", Geomech. Eng., Int. J., 12(4), 689-705. https://doi.org/10.12989/gae.2017.12.4.689
  16. Lopez-Chavarria, S., Luevanos-Rojas, A. and Medina-Elizondo, M. (2017), "A new mathematical model for design of square isolated footings for general case", Int. J. Innov. Comput. I., 13(4), 1149-1168.
  17. Luevanos-Rojas, A. (2014a), "Design of isolated footings of circular form using a new model", Struct. Eng. Mech., Int. J., 52(4), 767-786. https://doi.org/10.12989/sem.2014.52.4.767
  18. Luevanos-Rojas, A. (2014b), "Design of boundary combined footings of rectangular shape using a new model", Dyn., 81(188), 199-208. https://doi.org/10.15446/dyna.v81n188.41800
  19. Luevanos-Rojas, A. (2015), "Design of boundary combined footings of trapezoidal form using a new model", Struct. Eng. Mech., Int. J., 56(5), 745-765. https://doi.org/10.12989/sem.2015.56.5.745
  20. Luevanos-Rojas, A. (2016a), "A comparative study for the design of rectangular and circular isolated footings using new models", Dyn., 83(196), 149-158. https://doi.org/10.15446/dyna.v83n196.51056
  21. 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. https://doi.org/10.21041/ra.v6i2.137
  22. 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", Int. J. Innov. Comput. I., 9(10), 4001-4022.
  23. Luevanos-Rojas, A., Barquero-Cabrero, J.D., Lopez-Chavarria, S. and Medina-Elizondo, M. (2017), "A comparative study for design of boundary combined footings of trapezoidal and rectangular forms using new models", Coupled Syst. Mech., Int. J., 6(4), 417-437.
  24. Luevanos-Rojas, A., Lopez-Chavarria, S. and Medina-Elizondo, M. (2018), "A new model for T-shaped combined footings Part II: Mathematical model for design", Geomech. Eng., Int. J., 14(1), 61-69.
  25. 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., Int. J., 4(4), 263-279. https://doi.org/10.12989/gae.2012.4.4.263
  26. McCormac, J.C. and Brown, R.H. (2013), Design of Reinforced Concrete, John Wiley & Sons, New York, NY, USA.
  27. 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., Int. J., 5(4), 363-377. https://doi.org/10.12989/gae.2013.5.4.363
  28. Mohebkhah, A. (2017), "Bearing capacity of strip footings on a stone masonry trench in clay", Geomech. Eng., Int. J., 13(2), 255-267.
  29. 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., Int. J., 45(2), 169-182. https://doi.org/10.12989/sem.2013.45.2.169
  30. Orbanich, C.J., Dominguez, P.N. and Ortega, N.F. (2012), "Strenghtening and repair of concrete foundation beams whit fiber composite materials", Mater. Struct., 45, 1693-1704. https://doi.org/10.1617/s11527-012-9866-6
  31. 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., Int. J., 44(2), 139-161. https://doi.org/10.12989/sem.2012.44.2.139
  32. Shahin, M.A. and Cheung, E.M. (2011), "Stochastic design charts for bearing capacity of strip footings", Geomech. Eng., Int. J., 3(2), 153-167. https://doi.org/10.12989/gae.2011.3.2.153
  33. Smith-Pardo, J.P. (2011), "Performance-based framework for soilstructure systems using simplified rocking foundation models", Struct. Eng. Mech., Int. J., 40(6), 763-782. https://doi.org/10.12989/sem.2011.40.6.763
  34. Tomlinson, M.J. (2008), Cimentaciones, Diseno y Construccion, Trillas, Mexico.
  35. Uncuoglu, E. (2015), "The bearing capacity of square footings on a sand layer overlying clay", Geomech. Eng., Int. J., 9(3), 287-311. https://doi.org/10.12989/gae.2015.9.3.287
  36. 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., Int. J., 38(5), 573-592. https://doi.org/10.12989/sem.2011.38.5.573