We also develop two algorithms that are useful for computing failure polynomials for quorum systems and prove that computing failure polynomials is #P-hard.
This paper presents a semi-analytical approach for computing failure probability of structure.
A set of numerical examples is presented in order to illustrate an ability of the formulation to model and compute failure response of reinforced concrete beams and frames under monotonic static loading.
A shell finite element is used to compute failure response of a representative part of each column and each beam of a frame under consideration; elasto-plasticity, geometrical nonlinearity and material softening (along with a localization limiter) are taken into account.
The proposed strategy knocks down the computational barrier of computing interval failure probabilities, and reduces the cost of a robust reliability analysis by many orders of magnitude.
In Internet-based computing environment, failures are likely to happen since peers join and leave the network at an unpredictable rate.
We also provide several observations about computing the failure polynomials of a quorum system (failure polynomials are used to measure availability).
The program is successfully demonstrated by computing the failure probability of an infinite slope under earthquake condition with a deterministic factor of safety (FOS) equal to 1.77.
Heterogeneous limit analysis is particularly suitable for computing the failure load of unreinforced masonry members since it permits a distinct modelling of bricks and mortar joints.
When the random variables are provided with probability distribution functions, suitable methods have to be used in computing the failure probability.
