Login Register Cart 0
Generic placeholder image

Recent Patents on Engineering

Editor-in-Chief

ISSN (Print): 1872-2121
ISSN (Online): 2212-4047

Back
Journal Home About Journal Editorial Board Journal Insight Current Issue Volumes/Issues
Subscribe
TECHNICAL NOTE

Optimum Design Of Reinforced Concrete Foundations

Author(s): Osama Bedair*

Volume 15, Issue 3, 2021

Published on: 30 January, 2020

Page: [277 - 286] Pages: 10

DOI: 10.2174/1872212114666200130094015

Price: $65

Abstract

Background: Optimization of reinforced concrete foundation is a challenging problem due to the interaction between the design variables and design constraints. Classical design methods may overestimate the size of the foundation, thus leading to excessive cost. By using current advances in computer technologies and numerical optimization procedures, it is possible to find the optimum combinations of foundations design parameters that minimize the cost.

Objectives: The paper presents a numerical strategy to optimize the design of the reinforced concrete foundation.

Methods: The cost function is first derived in terms of the foundation design parameters. Mathematical programming technique is utilized to minimize the cost function. Design constraints are used against soil bearing capacity, concrete shear strength, flexural strength, and column bearing. Simplified analytical models are developed to idealize the soil stress distribution. The numerical procedure is then automated in a computer Program “OSFD” to perform sensitivity analysis and provide guidelines that can be utilized in practice.

Results: Design examples are provided to illustrate the efficiency of the optimization procedure. Results are compared with existing common design procedures, commercial software and design handbooks that are available in practice.

Conclusion: The described procedure is very cost-effective and can be utilized by practicing engineers in the industry to optimize the design of the reinforced concrete foundations.

Keywords: Structural optimization, concrete foundation, footings, mathematical programming, reinforced, design procedures.

Graphical Abstract

[1]
C.W. Harden, and T.C. Hutchinson, "Beam-on-nonlinear-Winkler-foundation modeling of shallow, rocking-dominated footings", Earthq. Spectra, vol. 125, no. 2, pp. 277-300, 2009.
[http://dx.doi.org/10.1193/1.3110482]
[2]
A. Kerr, "A study of a new foundation model", Acta Mech., vol. 1, no. 2, pp. 135-147, 1965.
[http://dx.doi.org/10.1007/BF01174308]
[3]
A. Denis, S. Elachachi, and H. Niandou, "Effects of longitudinal variability of soil on a continuous spread footing", Eng. Geol., vol. 122, no. 3-4, pp. 179-190, 2011.
[http://dx.doi.org/10.1016/j.enggeo.2011.05.015]
[4]
G. Gurfinkel, "Analysis of footings subjected to biaxial bending", J. Struct. Div., vol. 96, no. 6, pp. 1049-1059, 1970.
[5]
W. Highter, and J. Anders, "Dimensioning footings subjected to eccentric loads", J. Geotech. Eng. Div., vol. 111, no. 5, pp. 659-665, 1985.
[http://dx.doi.org/10.1061/(ASCE)0733-9410(1985)111:5(659)]
[6]
J.A. Rodriguez-Gutierrez, and J.D. Aristizabal-Ochoa, "Rigid spread footings resting on soil subjected to axial load and biaxial bending. I: Simplified analytical method", Int. J. Geomech., vol. 13, no. 2, pp. 109-119, 2013.
[http://dx.doi.org/10.1061/(ASCE)GM.1943-5622.0000218]
[7]
R. Irles, and F. Irles, "Explicit stresses under rectangular footings", J. Geotech. Eng. Div., vol. 120, no. 2, pp. 444-450, 1994.
[http://dx.doi.org/10.1061/(ASCE)0733-9410(1994)120:2(444)]
[8]
L. Montrasio, and R. Nova, "Settlement of shallow foundations on sand: geometrical effects", Geotechnique, vol. 47, no. 1, pp. 46-60, 1997.
[http://dx.doi.org/10.1680/geot.1997.47.1.49]
[9]
N. Yamamoto, M.F. Randolph, and I. Einav, "Simple formulas for the response of shallow foundations on compressible sands", Int. J. Geomech., vol. 8, no. 4, pp. 230-239, 2008.
[http://dx.doi.org/10.1061/(ASCE)1532-3641(2008)8:4(230)]
[10]
P.A. Habib, "Scale effect for shallow footings on dense sand", J Geotech Eng Div, vol. 100, no. 1, pp. 95-9, 1974.
[11]
M.H. Rayhani, and M.H. El-Naggar, "Numerical modeling of seismic response of rigid foundation on soft soil", Int. J. Geomech., vol. 8, no. 6, pp. 336-346, 2008.
[http://dx.doi.org/10.1061/(ASCE)1532-3641(2008)8:6(336)]
[12]
J. Sadrekarimi, and M. Akbarzad, "Comparative study of methods of determination of coefficient of subgrade reaction", Electr J Geotech Eng, vol. 14, 2009.
[13]
I. Anastasopoulos, G. Gazetas, M. Loli, M. Apostolou, and N. Gerolymos, "Soil failure can be used for seismic protection of structures", Bull. Earthquake Eng., vol. 8, pp. 309-326, 2010.
[http://dx.doi.org/10.1007/s10518-009-9145-2]
[14]
H.M. Algin, "Practical formula for dimensioning a rectangular footing", Eng. Struct., vol. 29, no. 6, pp. 1128-1134, 2007.
[http://dx.doi.org/10.1016/j.engstruct.2006.08.009]
[15]
M. Bouassida, B. Jellali, and A. Porbaha, "Limit analysis of rigid foundations on floating columns", Int. J. Geomech., vol. 9, no. 3, pp. 89-101, 2009.
[http://dx.doi.org/10.1061/(ASCE)1532-3641(2009)9:3(89)]
[16]
O. Bedair, "Simplified analysis and design of cold formed lipped channels subject to combined shear and compression loadings", ASCE Practice Periodical on Structural Design and Construction, vol. 23, no. 3, pp. 04018015-1, 2018.
[http://dx.doi.org/10.1061/(ASCE)SC.1943-5576.0000368]
[17]
O. Bedair, "Recent contributions to the analysis and design of cold formed steel channels", Recent Pat. Eng., vol. 10, no. 1, pp. 69-76, 2017.
[http://dx.doi.org/10.2174/1872212109666150915214638]
[18]
O. Bedair, "Rational design of pip-racks used for oil sands and petrochemical facilities", ASCE, Periodical on Structural Design and Construction, vol. 20, no. 2, 2014.
[19]
O. Bedair, "“Modern steel design and construction used in canada’s oil sands industry”, J Steel Des", Construct. Res., vol. 7, no. 1, pp. 32-40, 2014.
[http://dx.doi.org/10.1002/stco.201350005]
[20]
O. Bedair, "A contribution to the stability of stiffened plates under uniform compression", Int. J. Comput. Struct., vol. 66, no. 5, pp. 535-570, 1998.
[http://dx.doi.org/10.1016/S0045-7949(97)00102-8]
[21]
O. Bedair, "Engineering challenges in the design of alberta’s oil-sand projects", Pract. Period. Struct. Des. Constr., vol. 18, no. 4, pp. 247-260, 2013.
[http://dx.doi.org/10.1061/(ASCE)SC.1943-5576.0000163]
[22]
(Concrete Reinforcing Steel Institute) manual.., Design Guide for Square Spread Footings for Individual Columns: Schaumburg, Illinois, USA, 1988.
[23]
C. Wang, and C.G. Salmon, C.G., "Reinforced Concrete Design., 4th ed harper&row publisher: New York, 1985.
[24]
J.E. Bowles, Foundation analysis and design., McGraw-Hill: New York, NY, 1996.
[25]
ACI 318-Building Code Requirements for Structural Concrete., American concrete institute: Michigan, 2014.
[26]
AASHTO LRFD Bridge Design Specifications-Customary US units., AASTO Publications: Washington, 2012.
[27]
K. Schittkoowski, "A unified outline of non-linear programming algorithms", J. Mechan Transm. Auto. Des., vol. 107, pp. 449-453, 1985.

Rights & Permissions Print Cite
Article Metrics
15
1
© 2024 Bentham Science Publishers | Privacy Policy