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词汇 First moment of area
分类 英语词汇 英语翻译词典
释义

First moment of area

中文百科

面积矩

Área parcial para el cálculo de la tensión cortante.

某个截面对于一个轴的面积矩,是指截面上一个微元面积与该微元距离该轴的距离的乘积的积分。它经常用来找出一个面积的重心。

J=\iint_{S} \rho ds

其中:\rho为微元距轴的距离

给定一任意形状之面积A,面积一次矩定义如下:

S_x = \int_A  dS_x = \int_A y dA = \sum_{i=1}^n {y_i \,dA_i} = A \bar y
S_y = \int_A  dS_y = \int_A x dA = \sum_{i=1}^n {x_i \,dA_i} = A \bar x

面积一次矩也会用Q表示。

英语百科

First moment of area 面积矩

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 × d)]. It is a measure of the distribution of the area of a shape in relation to an axis.

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