Seismic Earth Pressure Coefficients Research Articles

Influence of soil amplification and backfill angle on seismic earth pressure coefficients by pseudo dynamic method

ABSTRACT The knowledge of earth pressure concepts plays a major role to design a retaining wall. The most traditional pseudo-static methodology as proposed by Mononobe–Okabe gives the direct approximation of earth pressure in seismic condition. This paper utilised the pseudo-dynamic methodology to figure out the seismic earth pressure on rigid wall with cohesion less backfill along with considering the effects of time, phase difference, soil amplification factor along with the variation in seismic velocities. The main contribution is the soil amplification and backfill inclination which is not given much attention before. By considering the above factors coefficients the seismic earth pressure against retaining wall is determined. The coefficient of seismic passive earth pressure decreases with the increase of soil amplification keeping other properties as standard values. The value of coefficient of seismic active earth pressure increases with increase of soil amplification. The comparison is also done without taking backfill angle for both coefficients of seismic earth pressures. The influence of all the soil properties like backfill angle, wall friction angle, soil friction angle, non-dimensional parameters are shown in tabular format as well as in the graphical with respect to the soil amplification which is more realistic towards the design.

Static and seismic earth pressure coefficients for vertical walls with horizontal backfill

The seismic earth pressure problem is considered for the special case of a vertical wall with horizontal backfill. Using upper and lower bound finite element limit analysis, earth pressure coefficients are derived for a range of seismic coefficients and soil-wall interface friction angles. The coefficients presented have a verifiable error of at most ±1%. Finally, the earth pressure coefficients are applied in a limit equilibrium framework to the design of various embedded retaining structures. For the resulting designs, factors of safety are computed using upper and lower bound strength reduction finite element analysis and it is concluded that the limit equilibrium approach, using the new earth pressure coefficients, is fairly accurate, albeit slightly unconservative.

Seismic active earth pressure on bilinear retaining walls using a modified pseudo-dynamic method

BackgroundProper understanding of seismic behavior of retaining structures is crucial during a strong earthquake event. In particular, response of retaining walls with bilinear backface, where a sudden change in the inclination along its depth make the problem more complex. This study focuses on estimating the seismic earth pressure coefficients of a retaining wall with bilinear backface using a modified pseudo-dynamic method.MethodsIn this method, the backfill soil is modeled as a visco-elastic Kelvin–Voigt material. A frequency-dependant amplification function is derived for the waves traveling along the backfill using well-established one-dimensional ground response analysis theory. A rigorous parametric study has been carried out to understand the effect of various parameters such as amplitude of base acceleration, direction of vertical acceleration, soil shear resistance angle, soil-wall friction angle, wall inclination, frequency ratio, and damping ratio on the seismic active earth pressure.ResultsIt has been observed that the damping ratio of the backfill soil plays an important role, particularly when the frequency of wave is close to the natural frequency of the backfill. Further, the seismic active thrust is found to increase in both upper and lower segments of the wall when the frequency of the primary wave is greater than that of the shear wave. Comparison of results with the previous studies indicates that the conventional pseudo-dynamic methods significantly underestimate the seismic coefficients and seismic pressures, particularly for the high-intensity motions.ConclusionsThe results of the study show that the natural frequency and damping of the backfill soil have significant effect on the seismic active earth pressure coefficients. Comparison with conventional pseudo-static and pseudo-dynamic methods indicates that the previous methods largely underestimate seismic coefficients and seismic pressures (as much as 48%). This under-estimation is more prominent for higher-intensity motions and less-damped soil, where the soil amplification effects pose most importance. This modified pseudo-dynamic approach can further be used for design of bilinear retaining structures.

Stability of a long unsupported circular tunnel in soils with seismic forces

By using the lower-bound finite element limit analysis, the stability of a long unsupported circular tunnel has been examined with an inclusion of seismic body forces. The numerical results have been presented in terms of a non-dimensional stability number (γH/c) which is plotted as a function of horizontal seismic earth pressure coefficient (k h) for different combinations of H/D and ϕ; where (1) H is the depth of the crest of the tunnel from ground surface, (2) D is the diameter of the tunnel, (3) k h is the earthquake acceleration coefficient and (4) γ, c and ϕ define unit weight, cohesion and internal friction angle of soil mass, respectively. The stability numbers have been found to decrease continuously with an increase in k h. With an inclusion of k h, the plastic zone around the periphery of the tunnel becomes asymmetric. As compared to the results reported in the literature, the present analysis provides a little lower estimate of the stability numbers. The numerical results obtained would be useful for examining the stability of unsupported tunnel under seismic forces.

Estimation of Seismic Earth Pressures Against Rigid Retaining Structures with Rotation Mode

The evaluation of seismic earth pressures is of vital importance for the earthquake resistant design of various retaining walls and infrastructures. It is one of the key research subjects in soil mechanics and geotechnical engineering. In engineering practices, the magnitude and distribution of seismic earth pressures are greatly affected by the mode and amount of wall displacement. However, classic Mononobe-Okabe solution can only compute the seismic earth pressures at the limit state and doesn’t consider the effect of the mode and amount of wall movement on the seismic earth pressure. In this paper, the formation mechanism of earth pressures against rigid retaining wall with RTT and RBT mode is revealed based on the previous studies and a new method is proposed to calculate the seismic earth pressures in such conditions. Corresponding formula are derived and computer code is written to calculate the seismic earth pressure distribution based on the proposed methodology. Variation of seismic earth pressure coefficient for the rigid retaining wall with RTT and RBT mode is calculated and discussed. In addition, the effectiveness of the method is confirmed by the experimental results.

Seismic Passive Earth Pressures in Soils

Seismic passive earth pressure coefficients were computed by the method of limit equilibrium using a pseudostatic approach for seismic forces. Composite curved rupture surfaces were considered in the analysis. While earlier studies using this type of analysis were mainly for sands, seismic passive earth pressure coefficients were obtained in the present study considering the effects of cohesion, surcharge, and own weight. The minimum seismic passive force was obtained by adding the individual minimum values of these components and the validity of the principle of superposition was examined. Other parameters considered in the analysis were wall batter angle, ground surface slope, soil friction angle, wall friction angle, wall adhesion to soil cohesion ratio, and horizontal and vertical seismic accelerations. The seismic earth pressure coefficients were found to be highly sensitive to the seismic acceleration coefficients both in the horizontal and vertical directions. Results of the study are presented in the form of figures and tables. Comparisons of the proposed method with available theories in the seismic case are also presented.