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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

August 3, 2024July 25, 2023 by Maged kamel
Practice problem for the x and y coordinates 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 coordinates of a trapezoid

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

September 8, 2024April 10, 2021 by Maged kamel
brief illustration-Post 9-moment

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.

July 25, 2023April 5, 2021 by Maged kamel
brief illustration-Post 8-moment of area

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- How to find Area and Cg for a rectangle?

March 31, 2023April 1, 2021 by Maged kamel
brief illustration-Post 7-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.

March 31, 2023March 15, 2021 by Maged kamel
brief illustration-Post 6-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.

March 31, 2023March 10, 2021 by Maged kamel
brief illustration-Post 5-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.
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Categories

CB value-bracing at the midpoint of a beam-uniform load (1) CB value-bracing at third points of a beam-uniform load (1) Compact and non compact sections. (1) Deflection of steel beams (3) Discontinuity functions table for loads (2) Effective length factor for an inelastic column. (1) How to design a steel beam? (1) Inertia Ix for Parallelogram. (2) Introduction to Numerical analysis part 2 (1) introduction to Tension members (2) list of steel beams posts-part -4a (1) List of tension members posts-part 3 (1) LU-partial pivoting (2) Mohr's circle of inertia part 2 (2) Moment of inertia Ix for the Trapezium-second option (1) Permutation matrix. (2) Product of inertia Ixy for the parallelogram (1) Review of AISC table 2-5 for plates. (1) Simple interest and compound interest (2) Solved problem-7-4-1 (1) Solved problem-8 by Modified Newton-Raphson. (1) Solved problem 5-2 for the plastic moment value for W10x60. (1) Solved problem 7-2 for frames 1-3 (1) Solved problem 8-32, finding the plastic nominal load (2) Solved problems for the net area. (2) steel beam posts part -2a (1) Two Practice problems for inertia for trapezium. (1) Two Practice problems for Ixy for trapezium (1) Uniform series of compound interest. (2) video-Use a vl strip to get Ix for right-angle case-2 (1) Video for Ix and Iy for an isosceles (1) Video for Ix for a right-angle case -2-Use Hl strip. (1) Video for Mohr's circle of inertia case-2. (1) x bar for a right angle triangle (2) y bar for a right angle triangle by integration. (2)

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