Strength of Materials I: Moment of Area

A series of vocabulary flashcards based on the lecture notes covering the strength of materials and principles related to areas, centroids, and moments.

Centroid

The point at which an area is assumed to be concentrated; also known as the center of gravity for a thin sheet.

First Moment of Area

The product of an area and its perpendicular distance from a specified axis.

Second Moment of Area

Also known as moment of inertia; measures the distribution of area relative to an axis.

Moment of Inertia

The product of the area and the square of the distance from the axis of rotation, which represents how far the area is from the axis.

Radius of Gyration

A distance from an axis such that the mass or area is distributed in such a way that it can be treated as concentrated at that distance.

Parallel-Axis Theorem

A theorem that states the moment of inertia about any axis is the sum of the moment of inertia about a parallel axis through the centroid and the product of the area and the square of the distance between the two axes.

Moment of Mass

The mass of an object multiplied by the distance from an axis, representing how the mass is distributed.

Composite Area

An area composed of multiple simple geometric shapes whose characteristics (like centroid and moment of inertia) can be combined.

Symmetry in Areas

When an area has an axis of symmetry, the first moment of area with respect to that axis is zero.

Polar Moment of Inertia

The moment of inertia of an area with respect to an axis perpendicular to the plane of the area.