# Using Genetic Algorithm for Design Length of Reinforcers in Slope Reinforced

Document Type : Research Article

Authors

1 Assistant Professor, Department of Civil Engineering, Arak University

2 M.Sc Student, Soil Mechanics, Arak University

Abstract

Two effective parameters in determining the length of reinforces in the reinforced slopes are, the one, the length of reinforce located in the active zone which is estimated based on the location of failure surface and the second, the length of reinforces located after the failure surface. Generally the first one is calculated based on the angle of wedge failure by Rankin method. In this method the effect of reinfocrers on the location of failure surface is ignored.
In order to assess the location of the failure surface in the reinforced slopes the horizontal slice method, Spencer Method, is used. In this method, slippery mass with the presence of reinforces is divided into a number of horizontal slices parallel to reinforce’s direction. Inter-slice forces are computed by using Spencer basic rules. Earthquake load is affected on the center of each slice by horizontal and vertical pseudo-static coefficients. In the present method, the critical slip surfaces are examined and are reinforced. So the probability of presence the critical slip surface is minimum. In this paper, Genetic Algorithm optimization method is used to produce non-circular slip surface in slopes reinforced with a safety factor of one. Comparing the results of GA optimization with the results of other investigators for the same geometry, material properties and loadings, this method shows that the introduced and utilized method is more critical for the estimation of the length of reinforces , thus the design of reinforcement with the proposed method is more reliable.

Keywords

Main Subjects

#### References

[1] رومیانی،هادی محمد زاده ، فرزانه، اورنگ و عسگری، فرج الله ، ”تحلیل پایداری شیروانی های خاک مسلح به روش آنالیز حدی مرز بالا “ ،نشریه مهندسی عمران و نقشه برداری- دانشکده فنی، دوره 45 ، شماره . 6، بهمن ماه 1390 ، از صفحه 697 تا 707
[2] شاهقلی، محسن.، ” تحلیل و طراحی دیوارهای خاک مسلح در برابر زلزله “ ، پایان نامه کارشناسی ارشد مکان کی خاک و مهندسی پی، گروه مهندسی عمران دانشکده فنی، 1378 ،دانشگاه تهران
[3] سنایی راد  علی ، نساری علی ” طراحی بهینه دیوارهای چال وزن بتنی با استفاده از الگوریتم ژنتیک و الگوریتم زنبور عسل “ نشریه علمی پژوهشی امیر کبیر مهندسی عمران و محیط زیست دوره چهل و پنج . 15 زمستان 1392 - شماره 2 ص 105
[4] Ling, H.I., Leshchinsky, D., Perry, E. B, “Seicmic design and performance of geosynthetic- reinforced
soil structures”, Geotechnique, vol. 47, no. 5, pp. 933-952, 1997
[5] Michalowski, R.L., “Soil reinforcement for seismic design of geotechnical structures”. Computers and
Geotechnics, vol. 23, no. 1, pp. 1-17, 1998 .
[6] Ausilio, E., Conte, E. and Dente, G., “Seismic stability analysis of reinforced slopes”. Soil Dynamics and
Earthquake Engineering, vol. 19, No. 3, pp. 159-172 , 2000.
[7] Nouri, H., Fakher, A., Jones, C.J.F.P.; "Development of Horizontal Slice Method for seismic stability
analysisof reinforced slopes and walls", Geotextiles and Geomembranes, vol. 24, pp. 175– 187, 2006.
[8] Spencer, E. “A method of analysis of the stability of embankments assuming parallel interslice forces”.
Geotechnique, vol.17, no.1, pp. 11-26, 1967.
[9] YM, Cheng. “Locations of critical failure surface and some further studies on slope stability analysis”.
Comput Geotech, vol. 30, 2003 .
[10] Holland J. Adaptation in natural and artificial systems.University of Michigan Press, 1975.