Analytical and Numerical Analysis of Additional Stress in Foundation of Bridge Approach Embankment
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ORIGINAL PAPER
Analytical and Numerical Analysis of Additional Stress in Foundation of Bridge Approach Embankment Lijun Wu
. Guanlu Jiang . Xianfeng Liu
Received: 13 December 2016 / Accepted: 9 June 2020 Springer Nature Switzerland AG 2020
Abstract A good estimation of additional stress of a bridge approach foundation overlying embankment is of great importance in order to accurately calculate the differential settlements of foundation due to the axisymmetric distribution of the additional stress. Current design method commonly adopted in road and railway engineering in China is derived from the classical elastic theory and simply considers the embankment load by its self-weight (ch) without taking into account the influence of the width-toheight ratio. This may lead to an overestimation of additional stress and consequently an uneconomical overdesign. This study attempts to mitigate the gap by developing a new analytical solution. Based on the Boussinesq’s elastic theory, the proposed solution
L. Wu (&) College of Environment and Civil Engineering, Chengdu University of Technology, Chengdu 610059, China e-mail: [email protected] G. Jiang X. Liu School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China e-mail: [email protected] X. Liu e-mail: [email protected]; [email protected]
considers a constrained boundary condition associated with bridge abutment and incorporates a new concept of ground reaction, which takes into account the embankment load including the influence of the embankment width-to-height ratio. The proposed solution was finally validated by numerical analysis and shows a better performance in terms of additional stress estimation over the traditional calculation method. Overall, the proposed method proved to be a better alternative tool for the design of bridge approach embankment. Keywords Calculation method Bridge approach embankment Numerical simulation Additional stress Bridge abutment List of symbols p Subgrade reaction h The embankment height h0 The equivalent height of the embankment c The unit dry weight of the embankment soil b The crest width of the embankment b0 The equivalent crest width of the embankment a The horizontal distance from embankment shoulder to toe
X. Liu Priority Research Centre for Geotechnical and Materials Modelling, University of Newcastle, Callaghan, NSW 2308, Australia
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Geotech Geol Eng
a0
B G a1,a2,and a3 P Z R rz1 , rz2 , rz3 rz b u Kf Kr d
The horizontal distance from embankment shoulder to toe for equivalent embankment load derived from ground reaction The bottom width of the embankment The deadweight of the embankment Constants that depend on the type of the foundation soil and the ratio of the embankment slope The concentrated load acing on the surface of a semi-infinite space The vertical distance between the surface and the calculation point O The distance between the calculation point M and the load point O The additional stress
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