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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 24
ADVANCES IN NON-LINEAR FINITE ELEMENT METHODS Edited by: B.H.V. Topping and M. Papadrakakis
Paper IV.3
Monte Carlo Analysis of Tall Concrete Structures M. Koutsoukis and A.J. Beasley
Department of Civil & Mechanical Engineering, University of Tasmania at Hobart, Hobart, Tasmania, Australia M. Koutsoukis, A.J. Beasley, "Monte Carlo Analysis of Tall Concrete Structures", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Non-Linear Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 129-134, 1994. doi:10.4203/ccp.24.4.3
Abstract
The constitutive parameters required for determining the axial
shortening of tall concrete building columns exhibit natural
variability which, in turn, results in uncertainty in their use in
deterministic predictive methods of analysis. This paper
describes a Monte Carlo method of incorporating
probabilistic constitutive information into a rigorous
analytical procedure for obtaining the time-dependent axial
deformations of columns. This is based on the well known
creep and shrinkage model of Trost and Bazant. Deterministic
analyses have been investigated by the authors previously,
where the absolute and differential shortening values were
determined for a number of major buildings. These
shortenings are influenced by, amongst other things, the
complex load history of a building during its construction
cycle and consequently, the critical concrete properties are
investigated in this context. This is useful since the
constructability of tall buildings depends on differential
shortening in particular. To this end the authors have
developed a computer program which merges the
construction sequence of a building with the probabilistic
time-dependent material properties of the columns. The
constitutive concrete model employed is derived from the
American Concrete Institute (ACI) recommendations for
creep and shrinkage. The analytical model of reinforced
concrete column behaviour is based on the Trost-Bazant Age-Adjusted Effective Modulus Method (TBEMM). To illustrate
the results of this work, an example is considered.
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