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Application of Structural Systems Reliability Theory - download pdf or read online

By Palle Thoft-Christensen

ISBN-10: 3642827640

ISBN-13: 9783642827648

ISBN-10: 3642827667

ISBN-13: 9783642827662

During the final twenty years a growing number of universities provide classes on sleek structural reliability concept. A path on structural reliability idea is now a common a part of the curri­ culum for mechanical and structural engineering scholars. because of this, a couple of textbooks were released during this decade. In PlOst of those books it truly is proven how the reliability of unmarried structural contributors may be evaluated in a rational manner. The tools used are typically so-called point 2 tools, i. e. tools regarding definite approximate iter­ ative calculations to acquire an approximate worth of the chance of failure of the struc­ tural contributors. In those tools the joint chance distribution of correct variables (re­ sistance variables, so much, and so forth. ) is simplified and the failure standards are idealized in this sort of means that the reliability calculations should be played with out an unreasonable quantity of labor. despite the approximations and idealizations made it really is believed rational remedy of uncertainties in structural engineering will be received by way of point 2 equipment. frequently, in­ enough information are to hand to make a extra complex 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 has to be according to a platforms strategy. In a few events it really is adequate to estimate the reliability of the person structural individuals of a structural system.

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Extra info for Application of Structural Systems Reliability Theory

Example text

1. 9. ;; 0, i = 1, 2, calculate the probability of failure for the system. 5) 40 2. 4) has been used. 2. 2 with n = 2, but with a stochastic loading S. 11. Calculate the probability of failure Pf and the formal reliability index ~S for the system. 11 not always result in failure of the total system. The reason for this is that the remaining structural elements may by redistribution of the load effects be able to sustain the external loading. For statically indeterminate structures total failure will usually require that failure takes place in more than one structural element.

In chapters 6 and 7 the first problem, viz. 20 Systems modelling at level 3. 46 2. 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.

N. 17) The system S will also be assumed to be either in a »state of failure» or in a »state of nonfailure». 6 FORMAL REPRESENTATION OF SYSTEMS is associated with the system S. ; e nt s, Le. 6. 7, page 37. This series system is in a safe (non-failure) state if and only if all elements are in a nonfailure state. 17). 7. 12, page 40. This parallel system is in a safe state (non-failure state) only if at least one of its elements is in a non-failure state. 17). Note that sp can also be written sp = max( e1 ' ...

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