The first moment of area can be calculated by adding the product of the area of each section and the distance from the x-axis to the centroid of the section. When knowing the centroid location when the three sections are combined, the first moment of area can be calculated as the product of the total cross-sectional area and y 0 as seen in case.. First Moment of Area Ex.1 - Qy, west. Qy, west = First moment of area X1 = 1 / 2 = 0.5 A1 = 5 * 1 = 5. Qy, west = 0.5 * 5 = 2.5. Again, since the first moment of area in the Y-axis is taken about the centroid, the areas are equal. This is a great way to check the answer is correct, especially if you're in an exam!
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The first moment of area about axis OY = 10 x 5 = 50; The first moment of area about axis OX = 10 x 7 = 70; Here we have discussed what the first moment of area is, its formulas, and their applications in numerical problems. If you found this information helpful, please comment below.. 6.3.3 Centroid of a plane area. For any plane shape with area A, the centroid is a point with coordinates ( x C, y C) given by x C = 1 ∕ A M x, y C = 1 ∕ A M y, where M x is first moment of area about the y axis, and M y is first moment of area about the x axis. Example6.8:
