Question: Explore the principles of structural reliability analysis and probabilistic methods in civil engineering design. Discuss the sources of uncertainty in structural engineering, including material properties,

Explore the principles of structural reliability analysis and probabilistic methods in civil engineering design. Discuss the sources of uncertainty in structural engineering, including material properties, loading conditions, and modeling assumptions. Analyze reliability-based design approaches such as reliability index, failure probability, and risk assessment. Discuss their applications in optimizing design decisions and mitigating risks in engineering practice.

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