Axial service limit state analysis of drilled shafts using probabilistic approach |
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| Authors: | Anil Misra Lance A Roberts |
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| Institution: | (1) Professor of Civil Engineering, University of Missouri-Kansas City, 5100, Rockhill Road, 350H Flarsheim Hall, Kansas City, MO 64110, USA;(2) Bridge Engineer, TranSystems Corporation, 2400, Pershing Road, Suite 400, Kansas City, MO 64108, USA |
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| Abstract: | Drilled shafts are, typically, designed by considering the axial ultimate limit state. In this design methodology, the axial
displacement requirements are verified once the design is completed. As an alternative, drilled shafts may be designed by
considering the axial service limit state. Service limit state foundation design is more efficient when done using the load
and resistance factor design (LRFD) approach. Furthermore, reliability may be rationally incorporated into the design process
that utilizes the LRFD method. In this paper, we develop probabilistic approaches for axial service limit state analysis of
drilled shafts. The variability of shaft-soil interface properties is modeled by lognormal probability distribution functions.
The probability distributions are combined with a closed-form analytical relationship of axial load-displacement curves for
drilled shafts. The closed-form analytical relationship is derived based upon the “t–z” approach. This analytical relationship
is used with the Monte Carlo simulation method to obtain probabilistic load-displacement curves, which are analyzed to develop
methods for determining the probability of drilled shaft failure at the service limit state. The developed method may be utilized
to obtain resistance factors that can be applied to LRFD based service limit state design. |
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| Keywords: | drilled shaft failure probability load-displacement relation serviceability |
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