Minimum Cost Design of Irrigation Canal Sections. | ||||
| MEJ- Mansoura Engineering Journal | ||||
| Article 12, Volume 29, Issue 1, March 2004, Page 134-155 PDF (674.76 K) | ||||
| Document Type: Research Studies | ||||
| DOI: 10.21608/bfemu.2020.132664 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| M. T. Shamaa* 1; H. A. Abdel-Gawad2 | ||||
| 1Irrigation & Hydraulics Dept., Faculty of Engineering, El-Mansoura University., Masoura., Egypt | ||||
| 2Irrigation & Hydraulics Dept., Faculty of Engineering, El-Mansoura University., Mansoura., Egypt | ||||
| Abstract | ||||
| Design of minimum cost canal section requires minimization of construction costs per unit length of the canal. The aim is to minimize a nonlinear objective function subject to a nonlinear equality constraint. The objective function has been expressed as the cost per unit length of the canal for excavation and lining. Manning's equation was used as an equality constraint. Using the method of Lagrange multipliers, the necessary equations for the design of minimum cost irrigation canal of trapezoidal, rectangular, triangular shapes can be obtained. The optimal dimensions for the previous canal sections without freeboard could be obtained from a set of design charts. These charts were plotted based on the results obtained using a Fortran computer programs to solve the minimum cost design equations. Also, the effect of freeboard has been taken into consideration and a set of charts was plotted for the design of minimum cost irrigation canals which provided with freeboard. The minimum cost design charts arc useful in selecting the optimal canal dimensions guarantying the minimum cost of construction. A design example with sensitivity analysis was presented to indicate the simplicity and practicability of the proposed method. | ||||
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