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<p>The finite element method (FEM) is employed to evaluate the bearing capacity of a rigid rough strip footing subjected to combined vertical and eccentric loading, resting on a homogeneous cohesionless soil under varying surcharge conditions. Uniform surcharge loads of different magnitudes, denoted by <i>q</i>, are applied on both sides of the footing. An analytical expression is proposed to enable the direct construction of failure envelopes in the vertical–moment (V–M) loading plane. The formulation is developed based on the approach of Gottardi and Butterfield, allowing for improved prediction of the bearing capacity under the influence of surcharge loading. The proposed equation can be considered valid within the range 0 ≤ <i>κ</i> ≤ 1.50, where <i>κ</i> is the surcharge factor. In addition, a modified effective width formulation, <i>B</i>′ = <i>B</i> − 1.88<i>e</i>, is proposed, providing more realistic and reliable estimates of the bearing capacity, particularly for cases involving significant load eccentricities. The numerical analyses are performed using PLAXIS, adopting the Mohr–Coulomb failure criterion with an associated flow rule.</p>

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On the Determination of Failure Envelopes in the Eccentric-Vertical (V–M) Plane for Strip Footings

  • 期刊论文

  • 发表日期：

    2026年7月11日

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  • Salah Zerguine,
  • Djamel Benmeddour

摘要

The finite element method (FEM) is employed to evaluate the bearing capacity of a rigid rough strip footing subjected to combined vertical and eccentric loading, resting on a homogeneous cohesionless soil under varying surcharge conditions. Uniform surcharge loads of different magnitudes, denoted by q, are applied on both sides of the footing. An analytical expression is proposed to enable the direct construction of failure envelopes in the vertical–moment (V–M) loading plane. The formulation is developed based on the approach of Gottardi and Butterfield, allowing for improved prediction of the bearing capacity under the influence of surcharge loading. The proposed equation can be considered valid within the range 0 ≤ κ ≤ 1.50, where κ is the surcharge factor. In addition, a modified effective width formulation, B′ = B − 1.88e, is proposed, providing more realistic and reliable estimates of the bearing capacity, particularly for cases involving significant load eccentricities. The numerical analyses are performed using PLAXIS, adopting the Mohr–Coulomb failure criterion with an associated flow rule.