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Pseudo-Dynamic Active Response of Non-Vertical Retaining Wall Supporting c-Φ Backfill

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Abstract

Knowledge of seismic active earth pressure behind rigid retaining wall is very important. In this paper, the pseudo-dynamic approach, which considers the effect of both compression and shear wave propagation, is adopted to calculate the seismic active force supporting c-Φ backfill. Considering a planar rupture surface, the effect of wide range of parameters like inclination of retaining wall, wall friction and soil friction angle, shear wave and compression wave velocity, horizontal and vertical seismic coefficients are taken into account to evaluate the seismic active force. Results are presented in terms of seismic coefficients in tabular form and variation of pressure with depth.

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Abbreviations

ϕ, δ:

Angle of internal friction of soil and angle of wall friction, respectively

k h , k v , k h g, k v g:

Horizontal, vertical seismic coefficients, horizontal and vertical seismic accelerations, respectively

g :

Acceleration due to gravity

K sγ , K sc :

Static active earth pressure coefficient due to unit weight and cohesion, respectively

q, Q:

Unit surcharge and total surcharge acting on the top of the backfill, respectively

γ, W:

Unit weight and total weight of the backfill, respectively

V s , V p :

Shear wave and primary wave velocity within the backfill, respectively

θ :

Inclination of the backfill wedge surface with vertical

c, c a :

Unit cohesion and unit adhesion, respectively

ρ, μ, G:

Density, Poisson’s ratio and Shear modulus of soil medium, respectively

T, ω:

Time period and angular frequency of the vibration generated due to earthquake

t :

Any time up to a time period T

H, H0:

Total Height of the retaining wall and height of the cracked zone of the backfill

H 1 :

H–H0

λ,η:

Wave length of the shear wave and primary wave, respectively

Q h (t), Q v (t):

Horizontal and vertical seismic inertia forces, respectively

P sγ , P sq and P sc :

Static component of active earth force due to unit weight, surcharge and cohesion, respectively

P dγ , P dq :

Dynamic increment due to earthquake for unit weight and surcharge, respectively

P ae :

Total seismic earth force acting on the back of retaining wall

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Authors and Affiliations

  1. Department of Civil Engineering, NIT Agartala, Tripura, 799055, India

    Sima Ghosh & Richi Prasad Sharma

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  1. Sima Ghosh
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  2. Richi Prasad Sharma
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Correspondence to Sima Ghosh.

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Ghosh, S., Sharma, R.P. Pseudo-Dynamic Active Response of Non-Vertical Retaining Wall Supporting c-Φ Backfill. Geotech Geol Eng 28, 633–641 (2010). https://doi.org/10.1007/s10706-010-9321-9

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  • DOI: https://doi.org/10.1007/s10706-010-9321-9

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