<p>This study develops a mathematical equation to compute the Factor of Safety (FOS) for soil-nailed slopes under dynamic loading conditions by using a pseudo-static method focused on a single nail in a 3D soil wedge. It examines how seismic accelerations, nail geometry (length, diameter, spacing, and inclination), and soil friction angle affect slope stability. Results show that increasing seismic acceleration coefficients significantly reduces stability, with FOS dropping up to 44.4% as horizontal acceleration increases. Reducing nail spacing from 1&#xa0;m to 0.5&#xa0;m improves FOS by approximately 9.6–9.9%, with horizontal acceleration having a greater impact than vertical acceleration. Increasing nail length from 1&#xa0;m to 1.4&#xa0;m and diameter from 1.4&#xa0;cm to 5&#xa0;cm raises FOS by 13.2–13.7% and 14.4–14.9%, respectively, for varying values of k<sub>h</sub> and k<sub>v</sub>. Nail inclination improves stability up to 15°, increasing FOS, but declines beyond this angle. Higher soil friction angles boost FOS by 14.7–16.3% when varied from 20° to 30° for varying k<sub>h</sub> and k<sub>v</sub> values. Validation with finite element software (Midas GTS NX) confirms the model’s reliability and highlights the need to consider vertical seismic effects to avoid overestimating safety. These findings guide safer soil-nailing designs in seismic zones.</p>

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Pseudo-Static Slope Stability Analysis of 3D Soil Wedge Reinforced with Nail

  • Janak Raj Bhatt,
  • Deepankar Choudhury

摘要

This study develops a mathematical equation to compute the Factor of Safety (FOS) for soil-nailed slopes under dynamic loading conditions by using a pseudo-static method focused on a single nail in a 3D soil wedge. It examines how seismic accelerations, nail geometry (length, diameter, spacing, and inclination), and soil friction angle affect slope stability. Results show that increasing seismic acceleration coefficients significantly reduces stability, with FOS dropping up to 44.4% as horizontal acceleration increases. Reducing nail spacing from 1 m to 0.5 m improves FOS by approximately 9.6–9.9%, with horizontal acceleration having a greater impact than vertical acceleration. Increasing nail length from 1 m to 1.4 m and diameter from 1.4 cm to 5 cm raises FOS by 13.2–13.7% and 14.4–14.9%, respectively, for varying values of kh and kv. Nail inclination improves stability up to 15°, increasing FOS, but declines beyond this angle. Higher soil friction angles boost FOS by 14.7–16.3% when varied from 20° to 30° for varying kh and kv values. Validation with finite element software (Midas GTS NX) confirms the model’s reliability and highlights the need to consider vertical seismic effects to avoid overestimating safety. These findings guide safer soil-nailing designs in seismic zones.