Mechanics of Materials

Learning outcomes

Statics Review:

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).

This Course:

1. Explain the relationship between the moment of inertia and the magnitude of beam stresses, strains, and deflections.
2. Distinguish between strong-axis bending and weak-axis bending.
3. 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