Mechanics of Materials
Centroid and Moment of Inertia
- Explain the concept of centroid as the center of cross-sectional area.
- Memorize the equation for moment of inertia of a rectangular cross-section.
- Compute y bar for a composite shape by using an additive method (solids)
- Compute y bar for a composite shape by using a subtractive method (solids and voids).
- Identify the location of the centroid by inspection for cross-sections with a line of symmetry.
- Apply the parallel axis theorem to compute the centroidal moment of inertia using an additive method (solids).
- Apply the parallel axis theorem to compute the centroidal moment of inertia using a subtractive methods (solids and voids).
- Explain the relationship between the moment of inertia and the magnitude of beam stresses, strains, and deflections.
- Distinguish between strong-axis bending and weak-axis bending.
- Given a cross-section, determine which centroidal axis is the strong-axis and which is the weak-axis.
LE13 Centroid and Moment of Inertia.pdf
HW13 Centroid and Moment of Inertia.pdf