ENGINEERING MECHANICS (CE 101): Centre of Gravity, Centroid, and Moment of Inertia
Understanding Mass Distribution and Inertial Properties
This chapter, Centre of Gravity, Centroid, Moment of Inertia, and Mass Moment of Inertia, explores critical geometric and inertial properties that are fundamental to structural analysis and mechanical design. These concepts are essential for understanding how bodies respond to forces and moments.
We will learn to determine the center of gravity and centroid for various shapes, calculate area moments of inertia (second moment of area), and understand the parallel and perpendicular axis theorems. Additionally, we’ll explore the concept of mass moment of inertia, which is crucial for rotational dynamics.
Mastering these concepts is vital for analyzing beam bending, column buckling, rotational motion, and designing efficient structural members in civil and mechanical engineering applications.
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