By Palle Thoft-Christensen
During the final twenty years an increasing number of universities supply classes on glossy structural reliability idea. A path on structural reliability conception is now a usual a part of the curri culum for mechanical and structural engineering scholars. due to this, a few textbooks were released during this decade. In PlOst of those books it really is proven how the reliability of unmarried structural individuals will be evaluated in a rational method. The equipment used tend to be so-called point 2 equipment, i. e. equipment related to convinced approximate iter ative calculations to acquire an approximate price of the chance of failure of the struc tural contributors. In those tools the joint likelihood distribution of correct variables (re sistance variables, lots, and so forth. ) is simplified and the failure standards are idealized in the sort of method that the reliability calculations should be played with no an unreasonable volume of labor. regardless of the approximations and idealizations made it's believed rational therapy of uncertainties in structural engineering could be received via point 2 equipment. often, in adequate info are to hand to make a extra complicated estimate of the reliability of a struc tural member. it's been famous for a few years absolutely passable estimate of the reliability of a constitution needs to be in response to a structures strategy. In a few occasions it really is adequate to estimate the reliability of the person structural participants of a structural system.
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Extra info for Application of Structural Systems Reliability Theory
MODELLING OF STRUCTURAL SYSTEMS failure modes, is treated. An estimate of the reliability of series systems is treated in chapter 3, and an estimate of the reliability of parallel systems is treated in chapter 4. 5 SYSTEMS MODELLING AT MECHANISM LEVEL The most frequently used definition of systems failure for elasto-plastic structures is formation of a mechanism. This definition is briefly treated on page 40. When this definition is used a mechanism is a failure mode and it is modelled by a parallel system where the failure elements are the yield hinges corresponding to the mechanism.
3-21. 1, page 34, a simple example is used to illustrate the need for estimating the reliability of series systems. On page 34 a structural system with two potential failure modes defined by the safety margins M1 = f1 (Xl' X 2 ) and M2 = f2 (Xl' X 2 ) is considered. 1) corresponding to evaluating the probability of failure of a series system with two elements. 3) where /3 1 and /3 2 are the corresponding reliability indices when il = (a1 ' a 2 ) and i) = (b 1 ' b 2 ) are chosen as unit vectors.
1] Thoft-Christensen, P. & Baker, M. : Structural Reliability Theory and Its Applica- tions. Springer-Verlag, Berlin, Heidelberg, New York, 1982. : Probabilistic Methods in the Theory of Structures. John Wiley & Sons, New York, 1985. , Baratta, A. : Probabilistic Methods in Structural Engineer- ing. Chapman & Hall, London, New York, 1984. 4] Ang, A. H-S. & Tang, W. : Probability Concepts in Engineering Planning and Design. John Wiley & Sons, New York, Vol. 2,1984. 5] Lind, N. , Krenk, S. & Madsen, H.
Application of Structural Systems Reliability Theory by Palle Thoft-Christensen