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First moment of area-plain shapes

A complete illustration for the first moment of area, how to determine the area by the integration? How to get the distance of Cg for a given axis? Plain areas are illustrated.

10- Practice problem for the x and y coordinates of a trapezoid

November 10, 2025July 25, 2023 by Maged kamel
Practice problem for the x and y coordinates of the centroid for a Trapezoid.

Practice problem for the x and y coordinates of a trapezoid. A step by step guide is given by using two options

Categories First moment of area-plain shapes Tags Practice problem for the x and y CG coordinates of a trapezoid

9- Easy approach to Area and Cg for a Parallelogram.

November 11, 2025April 10, 2021 by Maged kamel
Brief illustration-Post 9-first moment of area- for a parallelogram

The post includes the steps needed to get the area and Cg for a Parallelogram. This is done by getting the first moments of areas about two external axes.

Categories First moment of area-plain shapes Tags Area and Cg for a Parallelogram.

8- Easy illustration for Area and Cg of a Trapezium

November 11, 2025April 5, 2021 by Maged kamel
brief illustration-Post 8-Firstmoment of area for a Trapezium.

The post includes the steps needed to get the area and CG of a Trapezium. This is done by getting the first moments of areas about two external axes.

Categories First moment of area-plain shapes Tags Area and Cg of a Trapezium.

7- Easy approach to find Area and Cg for a rectangle

November 9, 2025April 1, 2021 by Maged kamel
Brief illustration for Post 7-First moment of area

How to determine the area and Cg for a rectangle? The rectangle area and GC values are obtained by integration of infinitesimal area about external axes.

Categories First moment of area-plain shapes Tags Area and Cg for a rectangle.

6- Easy steps to find the area and Cg of a Triangle.

November 8, 2025March 15, 2021 by Maged kamel
Brief illustration for Post 6-First moment of area

How to determine the area and Cg of a triangle? Divide Triangle into two right-angle triangles and use to find get X bar and y bar for the triangle.

Categories First moment of area-plain shapes Tags Area and Cg of a triangle.

5-Y bar for a right angle case-2

November 8, 2025March 10, 2021 by Maged kamel
Brief illustration for Post 5-First moment of area

How to estimate y bar for a right angle case-2 by using a horizontal and a vertical strip? the process includes area estimation.

Categories First moment of area-plain shapes Tags y bar for a right angle triangle by integration.

4- Easy steps for X bar for a right angle case-2.

November 9, 2025February 20, 2021 by Maged kamel
Brief illustration for Post 4-First moment of area.

How to estimate x bar for a right angle case-2 by using a horizontal and a vertical strip? Detailed steps are included in the post.

Categories First moment of area-plain shapes Tags X-bar for a right-angle triangle by integration.

3a- Y bar for a right angle-case-1-using vertical strip.

November 9, 2025February 16, 2021 by Maged kamel
Brief illustration for Post 3a-First moment of area

How to estimate Y bar for a right angle-case-1-using vertical strip? using the integration to get area and Cg distance.

Categories First moment of area-plain shapes Tags y bar for a right angle triangle by integration.
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