chapter 10 structural reliability: weakest link and fail-safe systems

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Chapter 10 Structural Reliability: Weakest

Link and Fail-Safe Systems

10.1 Introduction

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10.2 Fundamental One Member-one Load Case

10.2.1 Probability of failure

10.2.2 Reliability index)0( MPPf

10.2.3 Bound on the probability of failure

10.3 Single Member Several Load Case

10.3.1 probability of failure

10.3.2 Bounds on the probability of Failure

The upper bound on R0

10.4 Several Members- One load case (series system

10.4.1 Probability of Failure

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ll

n

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10.4.2 simple bounds on the probability of failure

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(10.30)

(10.33)

10.4.3 Ditlevsen bounds on the probability of failure

10.5 several members-several loads case (series system

10.5.1 Probability of failure

10.5.2 bounds on probility of failure

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10.5.3 Brittle material

10.6 Reliability Analysis of parallel system

10.6.1 Probability of Failure

10.6.2 Simple bounds on the probility of failure

10.6.3 Brittle material

10.7 Elastic-Plastic Analysis of Structure

10.7.1 Probability of failurew in I th collapse mode

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10.7.2 over all probability of failure of the structure

10.8 Structure with correlation of element strength

10.8.1 series system

10.8.2 parallel systems

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