TY - CHAP

T1 - A Unified Shakedown Limit Equation for Pavements and Railways Under Repeated Traffic Loads

AU - Wang, Juan

AU - Yu, Hai Sui

N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2023

Y1 - 2023

N2 - In 1943, Terzaghi proposed a simple, unified equation for determination of the bearing capacity of soils considering static surface loads. From then, this classical equation and its later extensions have been widely used in the design of various foundations against instantaneous failure. With the fast development of transportation industry, researchers have been interested in the evaluation of shakedown limits of pavements and railways under repeated traffic loads, which are much smaller than Terzaghi’s bearing capacity. Noting that various shakedown limits for different problems share some common trends and key factors, this paper proposes a simple, unified shakedown limit equation, in a format analogous to Terzaghi’s equation. The shakedown limit equation includes three terms, which represent the contributions from cohesion, self-weight of the underlying soil, and self-weight of any superficial rigid layers, respectively. Numerical results indicate that the coefficient in the cohesion term Ncsd depends on the soil friction angle; while the coefficient in the self-weight term Nγsd is controlled by soil friction angle and a dimensional factor γa/ c. Values of Ncsd and Nγsd for a typical rolling point contact problem also explain the different contribution ratios from the soil self-weight to the shakedown limits of pavement and railway problems.

AB - In 1943, Terzaghi proposed a simple, unified equation for determination of the bearing capacity of soils considering static surface loads. From then, this classical equation and its later extensions have been widely used in the design of various foundations against instantaneous failure. With the fast development of transportation industry, researchers have been interested in the evaluation of shakedown limits of pavements and railways under repeated traffic loads, which are much smaller than Terzaghi’s bearing capacity. Noting that various shakedown limits for different problems share some common trends and key factors, this paper proposes a simple, unified shakedown limit equation, in a format analogous to Terzaghi’s equation. The shakedown limit equation includes three terms, which represent the contributions from cohesion, self-weight of the underlying soil, and self-weight of any superficial rigid layers, respectively. Numerical results indicate that the coefficient in the cohesion term Ncsd depends on the soil friction angle; while the coefficient in the self-weight term Nγsd is controlled by soil friction angle and a dimensional factor γa/ c. Values of Ncsd and Nγsd for a typical rolling point contact problem also explain the different contribution ratios from the soil self-weight to the shakedown limits of pavement and railway problems.

UR - http://www.scopus.com/inward/record.url?scp=85169017982&partnerID=8YFLogxK

U2 - 10.1007/978-3-031-29122-7_2

DO - 10.1007/978-3-031-29122-7_2

M3 - Book Chapter

AN - SCOPUS:85169017982

T3 - Lecture Notes in Applied and Computational Mechanics

SP - 27

EP - 41

BT - Lecture Notes in Applied and Computational Mechanics

PB - Springer Science and Business Media Deutschland GmbH

ER -