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Mechanics of Materials Engr 350 - Lecture 2 6 More Bending

This lecture covers the concept of centroids and how to determine their location using formulas, as well as the moment of inertia for different areas and the parallel axis theorem. Examples and practice problems are included for better understanding.

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Mechanics of Materials Engr 350 - Lecture 2 6 More Bending

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  1. Mechanics of Materials Engr 350 - Lecture 26More Bending

  2. Review centroids • The centroid is the geometric center of an area and can be determined with the following formula • for composite areas use the formula along with the centroids of common areas, Table A.1

  3. Centroids example • Determine the centroid location y_bar

  4. Moment of inertia • Also known as the second moment of an area

  5. Parallel axis theorem • States that the moment of inertia for an area about an axis is equal to the area’s moment of inertia about a parallel axis passing through the centroid plus the product of the area and the square of the distance between the two axes. • For composite sections

  6. Moment of inertia for composite sections example • Determine the moment of inertia for the composite section

  7. Example • FBD • V • M

  8. Practice problem • FBD • V • M

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