Example 369

The three-bar indeterminate truss shown in Figure 36.6 (Estes 1997; Estes and Frangopol 2001b) is modeled as a series-parallel system where the failure of any two bars will cause failure of the system. Let the event "Bar 2 | 1'' indicate failure of bar 2 given that bar 1 has already failed, and let "Bar 1'' indicate failure of bar 1. The resistances of the three perfectly ductile bars are assumed random variables as follows:

where N[10, 1.0] indicates that the variable is normally distributed with a mean value of 10 kN and a standard deviation of 1.0 kN. The load on the truss P is also a random variable with parameters

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