Active Earth Pressure of Narrow Backfill on Inverted T-Type Retaining Walls under Translation Mode
Publication: International Journal of Geomechanics
Volume 21, Issue 11
Abstract
It is well known that there are multiple sliding surfaces behind inverted T-type retaining walls and that reflective sliding surfaces may develop in narrow backfill. Combined with numerical analysis, this paper establishes a mathematical model for the stress rotation trajectory considering multiple sliding surfaces. This paper proposes a theoretical solution for the active earth pressure in narrow backfill on inverted T-type retaining walls under translation mode using the horizontal layer differentiation method. The theoretical solution accurately considers the redistribution of stresses and is suitable for complex working conditions and various soil properties. Parametric analysis reveals the effects of backfill geometries, soil properties, and soil–wall interface friction angles on earth pressure. A quantitative equation was presented for the critical condition of narrow and semi-infinite backfills.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Notation
The following symbols are used in this paper:
- B
- width of bottom of backfill (m);
- B1
- width of sliding wedge between retaining wall and sliding surface (m);
- B2
- width of sliding wedge between sliding surfaces (m);
- B3
- width of sliding wedge between sliding surface and rocky slope (m);
- b1
- length of heel (m);
- b2
- thickness of wall stem (m);
- b3
- length of toe (m);
- c
- cohesion of backfill (kPa);
- cf
- cohesion of foundation (GPa);
- E1
- resultant force of earth pressure acting on wall stem (kN/m);
- E2
- resultant force of earth pressure acting on imaginary wall (kN/m);
- E3
- resultant force of earth pressure acting on heel (kN/m);
- Earm
- arm length from total earth pressure resultant force to the bottom of heel (m);
- Ef
- Young's modulus of foundation (MPa);
- Es
- Young's modulus of backfill (MPa);
- H
- total height of wall (m);
- H1
- height of wall stem (m);
- H2
- thickness of bottom plate (m);
- K0
- coefficient of earth pressure at rest;
- k
- coefficient of normal earth pressure (c ≠ 0);
- kc
- coefficient of normal earth pressure (c = 0);
- lij
- jth sliding surface of the ith sliding surface group;
- M
- combined moment of total earth pressure (kN · m/m);
- m
- relative height of wall stem (m);
- n
- relative length of heel (m);
- q
- ground overload (kN/m);
- R
- arc radius of major principal stress trajectory (m);
- Sh
- horizontal component of the total earth pressure resultant force (kN/m);
- zE
- height of total Earth pressure resultant force when it acts on wall stem (m);
- α1
- first sliding surface inclination in semi-infinite-width backfill (°);
- α2
- secondary sliding surface inclination in semi-infinite-width backfill (°);
- αE
- inclination of total earth pressure resultant force (°);
- αij
- inclination of the jth sliding surface of the ith sliding surface group (°);
- γ
- unit weight of backfill (kN/m3);
- γf
- unit weight of foundation (kN/m3);
- δL
- friction of soil–wall interface (°);
- δR
- friction of soil–rock interface (°);
- ɛ
- inclination of the rocky slope interface (°);
- θ
- stress rotation angle (°);
- σLs
- normal stress on imaginary wall (kPa);
- σLw
- normal stress on wall stem (kPa);
- υ
- Poisson's ratio of backfill;
- υf
- Poisson's ratio of foundation;
- φ
- internal friction of backfill (°); and
- φf
- internal friction of foundation (°).
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© 2021 American Society of Civil Engineers.
History
Received: Feb 28, 2021
Accepted: Jun 25, 2021
Published online: Sep 15, 2021
Published in print: Nov 1, 2021
Discussion open until: Feb 15, 2022
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- Hassan Sarfaraz, Mohammad Hossein Khosravi, Thirapong Pipatpongsa, Theoretical and Numerical Analysis of Cohesive-Frictional Backfill against Battered Retaining Wall under Active Translation Mode, International Journal of Geomechanics, 10.1061/IJGNAI.GMENG-8392, 23, 6, (2023).