Evaluation of the dynamic p–yp loops of pile-supported structures on sloping ground

Kinematic and Inertial Interaction of Single and Group Piles in Slope by Displacement Phase Relation

“…Group piles having short unsupported lengths would be subjected to large bending moments, which led to a deeper location of the maximum bending moment below the ground surface. These observations were consistent with the results reported by Su et al (2017) and Nguyen et al (2018).…”

“…Subsequently, the discrete bending moments along the pile length were fitted, applying a piecewise cubic spline function below the ground surface and a linear function above the ground surface. The cubic piecewise spline function among other fitting functions was selected because the function showed high accuracy in deriving the pile displacement and soil resistance (Brandenberg et al 2010;Haiderali and Madabhushi 2016;Nguyen et al 2018;Yang and Liang 2007). Several assumptions were considered in fitting discrete bending moments with a piecewise cubic spline function.…”

“…All model piles were rigidly fixed onto the soil container base; thus, the pile inclination and displacement at the pile toe were constrained at zero when performing the double-integration (Nguyen et al 2018). Figure 5 presents the transient component of the deck and the input displacements at a max = 0.15 g. In this study, the displacement was considered positive in the upslope direction.…”

“…Reese and Van Impe (2001) theoretically suggested that the ultimate soil resistance should be smaller toward the downslope direction and larger toward upslope direction comparing with that of the pile in level ground. Nguyen et al (2018) performed dynamic centrifuge tests on a pile group embedded in a sloping ground to evaluate the relationship between soil resistance and pile displacement. The authors found that the ultimate soil resistance in the downslope direction was considerably smaller than that in the upslope direction.…”

Pushover analysis for flexible and semi‐flexible pile‐supported wharf structures accounting the dynamic magnification factors due to torsional effects

“…These actions in the piles are calculated for estimating the performance points. The axial forces are constant at top of the piles, whereas the bending moments is linear (above the ground surface) with positive value and negative values at the middle/bottom of the piles where the bending moments change parabolically 27,50 …”