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First moment of area
The first moment of area, sometimes misnamed as the first moment of inertia, is based in the mathematical construct moments in metric spaces, stating that the moment of area equals the summation of area times distance to an axis [Σ(a x d)]. It is a measure of the distribution of the area of a shape in relationship to an axis.
First moment of area is commonly used in engineering applications to determine the centroid of an object or the statical moment of area.
Additional recommended knowledge
Given an area of any shape, and division of that area into very small, equal-sized, elemental areas (dA), and given an x-y axis, where from each elemental area is measured, that is the distances to each elemental area is known as yi and xi, therefore the first moment of area in the "X" and "Y" directions are respectively: and .
Statical moment of area
The static or statical moment of area, usually denoted by the symbol Q, is a property of a shape that is used to predict its resistance to shear stress. By definition:
Shear Stress in a Semi-monocoque Structure
The equation for shear flow in a particular web section of the cross-section of a semi-monocoque structure is:
Shear stress may now be calculated using the following equation:
|This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "First_moment_of_area". A list of authors is available in Wikipedia.|