Structural Cost of Optimized Reinforced Concrete Isolated Footing

This paper presents an analytical model to estimate the cost of an optimized design of reinforced concrete isolated footing base on structural safety. Flexural and optimized formulas for square and rectangular footingare derived base on ACI building code of design, material cost and optimization. The optimization constraints consist of upper and lower limits of depth and area of steel. Footing depth and area of reinforcing steel are to be minimized to yield the optimal footing dimensions. Optimized footing materials cost of concrete, reinforcing steel and formwork of the designed sections are computed. Total cost factor TCF and other cost factors are developed to generalize and simplify the calculations of footing material cost. Numerical examples are presented to illustrate the model capability of estimating the material cost of the footing for a desired axial load.




References:
[1] American Concrete Institute (ACI).(2008). "Building Code and
Commentary". ACI-318M-08, Detroit.
[2] McCormac, and Brown. (2009). Design of Reinforced Concrete, Wiley,
8thedition. New Jersey.
[3] Hassoun, and Al-Manaseer. (2011). Structural Concrete Theory and
Design, Wiley, 5th edition, New Jersey.
[4] Wang, Yu, and Kulhawy, F. (2008). "Economic Design Optimization of
Foundation", Journal of Geotechnical and geoenvironmental, ASCE,
pp.1097-1105.
[5] Hans, G. (1985). "Flexural Limit Design of Column Footing", Journal
of Structural Engineering, ASCE, pp.2273-2287.
[6] Jiang, D. (1983). "Flexural Strength of Square Spread Footing", Journal
of Structural Engineering, ASCE, pp.1812-1819.
[7] Wang, Yu. (2008). "Reliability-Based Economic Design Optimization
of Spread Foundation", Journal of Geotechnical and Geoenvironmental,
ASCE, pp.1097-1105.
[8] MATHCAD (2007).MathSoft Inc., 101 Main Street, Cambridge,
Massachusetts, 02142, USA.
[9] Kohli, J. (1968). "Optimum Design of Concrete Spread Footing by
Computer", Structural Journal, ACI, pp.384-389.
[10] Waier, P.R., (2010). RSMEANS-Building Construction Cost Data, 68TH
Annual Edition,RSMeans, MA 02364-3008, USA.