Seismic Bearing Capacity of Strip Footing Resting on Reinforced Layered Soil Using Chaotic Particle Swarm Optimization T
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ORIGINAL PAPER
Seismic Bearing Capacity of Strip Footing Resting on Reinforced Layered Soil Using Chaotic Particle Swarm Optimization Technique Litan Debnath . Sima Ghosh
Received: 10 September 2019 / Accepted: 17 May 2020 Ó Springer Nature Switzerland AG 2020
Abstract In this paper limit equilibrium method under pseudo-static approach is applied to evaluate the ultimate bearing capacity of shallow strip footing resting on geosynthetic reinforced soils. The foundation is resting on two layered c - / soils. Chaotic Particle Swarm Optimization algorithm is used to optimize the solution. Failure mechanism has been assumed as linearly varying with depth with different wedge angle. Bearing capacities evaluated for different reinforcement geometries and soil properties. Bearing capacity of shallow strip footing in twolayered soil conveyed as a single coefficient for a coincident resistance of unit weight, surcharge and cohesion. The effect of different parameters on the seismic bearing capacity coefficients is studied in details. A comparison of the present method with other theories is presented, which shows the merits of the present study. Hence, it was concluded that present method for reinforcement layered soils can be prosperously utilized in calculating the bearing capacities of geosynthetic reinforced soils.
L. Debnath (&) S. Ghosh Civil Engineering Department, National Institute of Technology Agartala, Jirania 799046, India e-mail: [email protected] S. Ghosh e-mail: [email protected]
Keywords Pseudo-static Reinforcement Multiple regression Particle swarm optimization Layered soil c - / soil Convergence List of Symbols L Length of the reinforcement B0 Width of the footing H Total thickness of homogeneous soil layer h2 The thickness of the second layer contributing the failure wedge h1 The thickness of the top layer contributing the failure wedge Nc00 Single bearing capacity coefficient for coincident resistance of unit weight, surcharge and cohesion qult Ultimate bearing capacity aA1 Active wedge angle of top soil layer aA2 Active wedge angle of bottom soil layer ap1 Passive wedge angle of top layer ap2 Passive wedge angle of bottom soil layer Uniform distributed load from column and pL footing pL1 Uniform distributed load from from top soil layer to the interface c1 Unit cohesion of top soil layer c2 Unit cohesion of bottom soil layer /1 Angle of internal friction of top soil layer /2 Angle of internal friction of bottom soil layer c1 Unit weight of top soil c2 Unit weight of bottom soil
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Geotech Geol Eng
d1 d2 kh kv T1 T2 Df c c q WA WB WC WD b
Angle of wall friction of top layer Angle of wall friction of bottom layer Horizontal seismic coefficient Vertical seismic coefficient Max tensile load in reinforcement for L = B0 Max tensile load in reinforcement for L = 2B0 Depth of footing Equivalent unit weight Equivalent cohesion for both cohesive layer Surcharge load Weight of the active wedge at top layer Weight of the active wedge
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