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Optimum planar reinforcement parameters for enhancing the load carrying capacity of strip foundations on reinforced sandy soils

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Abstract

Strengthening of soil with reinforcement is one of the ground improvement techniques which provide practical solutions for unpaved roads and foundations on weak soils. The improvement of loose to medium sandy deposits (ϕ ≤ 30°) with suitable reinforcements improves the strength and reduces the settlement. This study is focussed on the determination of optimum values of reinforcement parameters for the metallic and geosynthetic materials reinforced in the sand bed for maximizing the load carrying capacity of the strip footing. The finite element approach is employed to assess the increased bearing capacity of the reinforced sand bed. A practical elasto-plastic analysis procedure is used considering Drucker–Prager material model for the soil. The results of the finite element analysis are validated with those available in the published literature. Parametric studies are carried out by considering different factors such as reinforcement material type, geometry and location of the reinforcement below the footing. Based on the results, the optimum reinforcement parameters are obtained. The reinforcement length, spacing between the layers and number of layers are obtained, respectively, as 4–6B, 0.25–0.5B and 5, where B is the width of the footing. It is recommended that the first layer of reinforcement be placed below the footing at 0.25–0.5B, for the maximum benefit to be derived for the bearing capacity of the footing. It is concluded that the depth of the influence zone is 1.5B below the footing. For the reinforcement materials—nylon, aluminium, and galvanized steel the increase in the load carrying capacity are 183, 233 and 245%, respectively, compared to the unreinforced sand bed.

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Abbreviations

RFS:

Reinforced foundation soil

B :

Foundation width

L :

Length of the reinforcement

Z :

Vertical spacing of the reinforcing layers

U :

Depth of the first reinforcing layer

N :

Number of reinforcing layers

E R :

Modulus of elasticity of reinforcement

E S :

Modulus of elasticity of soil

q :

Strip load (kN/m2)

GST:

Galvanized steel reinforcement

AL:

Aluminium reinforcement

NY:

Nylon reinforcement

BCR:

Bearing capacity ratio

CST:

Constant strain triangular element

deg:

Degrees

c :

Cohesion of soil

σ x, σ y and σ z :

Element stresses in X, Y and Z directions

τ xy :

Element shear stress in the XY plane

ϕ :

Angle of internal friction of soil

ψ :

Dilation angle

ν :

Poisson’s ratio of the material

References

  1. Jones CJFP (1985) Earth reinforcement and soil structures. Butterworths, London

    Google Scholar 

  2. Binquet J, Lee K (1975) Bearing capacity tests on reinforced earth slabs. J Geotech Eng Div ASCE 101(12):241–1255. https://doi.org/10.1061/AJGEB6.0000219

    Article  Google Scholar 

  3. Akinmusuru JO, Akinbolade JA (1981) Stability of loaded footing on reinforced soil. J Geotech Eng ASCE 107(6):819–827. https://doi.org/10.1061/AJGEB6.0001153

    Article  Google Scholar 

  4. Khing KH, Das BM, Puri VK, Cook EE, Yen SC (1993) The bearing capacity of a strip foundation on geogrid reinforced sand. Geotext Geomembr 12:351–436. https://doi.org/10.1016/0266-1144(93)90009-D

    Article  Google Scholar 

  5. Omar MT, Das BM, Yen SC, Puri VK, Cook EE (1993) Ultimate bearing capacity of rectangular foundations on geogrid-reinforced sand. Geotech Test J ASTM 16(2):246–252. https://doi.org/10.1520/GTJ10041J

    Article  Google Scholar 

  6. Omar MT, Das BM, Puri VK, Yen SC (1993) Ultimate bearing capacity of shallow foundations on sand with geogrid reinforcement. Can Geotech J 20(3):435–440. https://doi.org/10.1139/t93-046

    Article  Google Scholar 

  7. Das BM, Shin EC, Omar MT (1994) The bearing capacity of surface strip foundations on geogrid reinforced sand and clay—a comparative study. Geotech Geol Eng 12(1):1–14. https://doi.org/10.1007/BF00425933

    Article  Google Scholar 

  8. Michalowski RL, Shi L (2003) Deformation patterns of reinforced foundation sand at failure. J Geotech Geoenviron Eng ASCE 129(6):439–449. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:6(439)

    Article  Google Scholar 

  9. Michalowski RL (2004) Limit loads on reinforced foundation soils. J Geotech Geoenviron Eng ASCE 130(4):381–390. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:4(381)

    Article  Google Scholar 

  10. Chen J et al (2021) Physical and numerical modelling of strip footing on geogrid reinforced transparent sand. Geotext Geomembr 49(2):399–412. https://doi.org/10.1016/j.geotexmem.2020.10.011

    Article  Google Scholar 

  11. Fragaszy JR, Lawton E (1984) Bearing capacity of reinforced sand subgrades. J Geotech Eng ASCE 110(10):1500–1507. https://doi.org/10.1061/(ASCE)0733-9410(1984)110:10(1500)

    Article  Google Scholar 

  12. Guido VA, Chang DK, Sweeny MA (1986) Comparison of geogrid and geotextile reinforced slabs. Can Geotech J 20:435–440. https://doi.org/10.1139/t86-073

    Article  Google Scholar 

  13. Yetimoglu T, Wu JTH, Saglamer A (1994) Bearing capacity of rectangular footings on geogrid-reinforced sand. J Geotech Eng ASCE 120(12):2083–2099. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:12(2083)

    Article  Google Scholar 

  14. Dash SK, Krishnaswamy NR, Rajagopal K (2001) Bearing capacity of strip footings supported on geocell-reinforced sand. Geotext Geomembr 19:235–256. https://doi.org/10.1016/S0266-1144(01)00006-1

    Article  Google Scholar 

  15. Huang CC, Tatsuoka F (1990) Bearing capacity reinforced horizontal sandy ground. Geotext Geomembr 9:51–82. https://doi.org/10.1016/0266-1144(90)90005-W

    Article  Google Scholar 

  16. Adams MT, Collin JG (1997) Large model spread footing load tests on geosynthetic reinforced soil foundations. J Geotech Geoenviron Eng 123(1):66–72. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:1(66)

    Article  Google Scholar 

  17. Binquet J, Lee KL (1975) Bearing capacity analysis on reinforced earth slabs. J Geotech Eng Div ASCE 101(12):1257–1276. https://doi.org/10.1061/AJGEB6.0000220

    Article  Google Scholar 

  18. Ramaswamy SD, Yong KY (1983) A study of footing on reinforced earth slab. In: Proceedings of the seventh Asian regional conference soil mech Haifa, vol 1. pp 527–530

  19. Sridharan A, Murthy BRS, Singh HR (1988) Reinforced soil foundation on soft soil. In: First Indian geotextile conference on reinforced soil and geotextiles Bombay. pp C53–C59

  20. Chen Q, Abu-Farsakh M (2015) Ultimate bearing capacity analysis of strip footings on reinforced soil foundation. Soils Found 55(1):74–85. https://doi.org/10.1016/j.sandf.2014.12.006

    Article  Google Scholar 

  21. Ghazavi M, Eghbali AH (2008) A simple limit equilibrium approach for calculation of ultimate bearing capacity of shallow foundations on two-layered granular soils. Geotech Geol Eng 26:535–542. https://doi.org/10.1007/s10706-008-9187-2

    Article  Google Scholar 

  22. Cicek E, Guler E, Yetimoglu T (2015) Effect of reinforcement length for different geosynthetic reinforcements on strip footing on sand soil. Soils Found 55(4):661–677. https://doi.org/10.1016/j.sandf.2015.06.001

    Article  Google Scholar 

  23. Ahmad H, Mahboubi A (2021) Effect of the interfacial shearing stress of soil–geogrid interaction on the bearing capacity of geogrid-reinforced sand. Innov Infrastruct Solut 6:57. https://doi.org/10.1007/s41062-020-00430-8

    Article  Google Scholar 

  24. Guo X, Zhang H, Liu L (2020) Planar geosynthetic-reinforced soil foundations: a review. SN Appl Sci 2:2074. https://doi.org/10.1007/s42452-020-03930-5

    Article  Google Scholar 

  25. Nasr AM, Azzam WR (2017) Behaviour of eccentrically loaded strip footings resting on sand. Int J Phys Model Geotech 17(3):177–194. https://doi.org/10.1680/jphmg.16.00008

    Article  Google Scholar 

  26. Ouria A, Mahmoudi A (2018) Laboratory and numerical modeling of strip footing on geotextile-reinforced sand with cement treated interface. Geotext Geomembr 46(1):29–39. https://doi.org/10.1016/j.geotexmem.2017.09.003

    Article  Google Scholar 

  27. Aria S, Shukla SK, Mohyeddin A (2020) Optimum burial depth of geosynthetic reinforcement within sand bed based on numerical investigation. Int J Geotech Eng 14(1):71–79. https://doi.org/10.1080/19386362.2017.1404202

    Article  Google Scholar 

  28. Desai CS, Abel JF (1972) Introduction to the finite element method. Litton Educational Publishing INC, New York

    Google Scholar 

  29. Drucker DC, Prager W (1952) Soil mechanics and plastic analysis for limit design. Q Appl Math 10(2):157–165

    Article  Google Scholar 

  30. Alejano LR, Bobet A (2012) Drucker–Prager criterion. Rock Mech Rock Eng 45:995–999. https://doi.org/10.1007/s00603-012-0278-2

    Article  Google Scholar 

  31. Bowles JE (1996) Foundation analysis and design. McGraw-Hill INC, New York

    Google Scholar 

  32. Nayak NV (2018) Foundation design manual. Dhanpat Rai Publications, New Delhi

    Google Scholar 

  33. Look BG (2014) Handbook of geotechnical investigation and design tables. CRC Press, London

    Google Scholar 

  34. Ashby MF (2011) Materials selection in mechanical design. Butterworth-Heinemann, London

    Google Scholar 

  35. IS 800 (2007) General construction steel-code of practice. Bureau of Indian Standards, New Delhi

    Google Scholar 

  36. EN 1999–1–1 (2007) (English) Eurocode 9 Design of aluminium structures—Part 1–1: General structural rules. [Authority: The European Union Per Regulation 305/2011, Directive 98/34/EC, Directive 2004/18/EC]

  37. Wu H et al (2020) Review of application and innovation of geotextiles in geotechnical engineering. Materials 13(1774):1–20. https://doi.org/10.3390/ma13071774

    Article  Google Scholar 

  38. Erickson H, Drescher A (2001) The use of geosynthetics to reinforce low volume roads. Report No MN/RC—2001–15, Minnesota department of transportation, St. Paul, Minnesota

  39. Hussein MG, Meguid MA (2016) A three-dimensional finite element approach for modeling biaxial geogrid with application to geogrid-reinforced soils. Geotext Geomembr 44:295–307. https://doi.org/10.1016/j.geotexmem.2015.12.004

    Article  Google Scholar 

  40. Badakhshan E, Noorzad A (2017) Effect of footing shape and load eccentricity on behavior of geosynthetic reinforced sand bed. Geotext Geomembr 45:58–67. https://doi.org/10.1016/j.geotexmem.2016.11.007

    Article  Google Scholar 

  41. Nogueira CL, Oliveira RRV, Zornberg JG, Azevedo RF (2008) FE prediction of bearing capacity of reinforced soil under plane strain condition. In: The first pan American geosynthetics conference and exhibition Cancun Mexico. pp 1391–1400

  42. Benmebarek S, Djeridi S, Benmebarek N, Belounar L (2018) Improvement of bearing capacity of strip footing on reinforced sand. Int J Geotech Eng 12(6):537–545. https://doi.org/10.1080/19386362.2017.1309136

    Article  Google Scholar 

  43. Zienkiewicz OC, Humpheson C, Lewis RW (1975) Associated and non-associated visco-plasticity and plasticity in soil mechanics. Geotechnique 25(4):671–689. https://doi.org/10.1680/geot.1975.25.4.671

    Article  Google Scholar 

  44. Manohan N, Dasgupta SP (1995) Bearing capacity of surface footings by finite element. Comput Struct 4:563–586. https://doi.org/10.1016/0045-7949(94)00381-C

    Article  Google Scholar 

  45. Chen WF (1975) Limit analysis and soil plasticity. Elsevier, Amsterdam

    Google Scholar 

  46. Chavda JT, Dodagoudar GR (2018) Finite element evaluation of ultimate capacity of strip footing: assessment using various constitutive models and sensitivity analysis. Innov Infrastruct Solut 3:15. https://doi.org/10.1007/s41062-017-0121-4

    Article  Google Scholar 

  47. Murthy BRS, Sridharan A, Singh HR (1993) Analysis of reinforced soil beds. Indian Geotech J 23(4):447–458

    Google Scholar 

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Acknowledgements

The author gratefully acknowledges the reviewers for their valuable inputs and suggestions in the improvement of the paper. Also, constructive suggestions from Professor G.R. Dodagoudar, Indian institute of Technology, Chennai has been very beneficial in improving the manuscript.

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Correspondence to D. S. Shridhar.

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Shridhar, D.S. Optimum planar reinforcement parameters for enhancing the load carrying capacity of strip foundations on reinforced sandy soils. Innov. Infrastruct. Solut. 7, 18 (2022). https://doi.org/10.1007/s41062-021-00618-6

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