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Map from X to Y space: limit state h(Y) and joint PDF change shape and location; choose Y to be the space of independent ... The need for approximate solutions, recap of component level limit state function and failure probability; graphical representation ... Example: Redo D1 4RV Problem with SORM Example D1: Cable Example involving two diodes that can fail in open or short modes. Gradient Projection Method - flow chart, graphical representation, Armijo's rule, convergence. Example: Redo C1 3RV Problem with SORM Example C1: cable Two-unit series system. Two axially loaded bars in series, Part 3. System failure probability - load p is now random. Example ... Moments and Expectations of Random Variables Full course plan: ...
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