Every engineering structure, system, and design must withstand real-world uncertainty. Understanding how to quantify these uncertainties is critical for ensuring safety and preventing catastrophic failures. This text-only course provides a clear, step-by-step introduction to probability and statistics applied directly to civil and environmental engineering problems. You will start with core probability concepts and foundational definitions before moving on to practical risk evaluation. Through clear written explanations and structured problems, you will learn how to model uncertainty, sketch failure boundaries, and calculate safety margins. What you'll learn: Understand core probability distributions and statistical parameters used in engineering design; Calculate the second-moment reliability index to quantify safety margins; Sketch and analyze failure boundaries for multi-variable engineering systems; Apply reliability formulas to civil and environmental engineering scenarios; Analyze risk and limit states under uncertain loading and material conditions. The course begins with foundational probability concepts and structural safety terminology before guiding you through the mathematical framework of reliability indices and failure boundary limit states. This course is designed for engineering students, junior engineers, and professionals looking for a clear, beginner-friendly introduction to structural reliability. No advanced background in statistics is required. Start building safer, more resilient engineering designs today.
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