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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.

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

March 31, 2023February 20, 2021 by Maged kamel
brief illustration-Post 4-mo

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.

March 31, 2023February 16, 2021 by Maged kamel
brief illustration-Post 3a-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.

3-How to determine y bar for a right angle-case-1?

June 14, 2023February 10, 2021 by Maged kamel
brief illustration-Post 3-moment of area

How to estimate y bar for a right angle triangle case-1 by using a horizontal strip? There are detailed steps to get the expression for the y bar.

Categories First moment of area-plain shapes Tags y bar for a right angle

2a- X bar for a right angle-case-1-using vertical strip.

March 31, 2023February 8, 2021 by Maged kamel
brief illustration-Post 2a-moment of area

How to estimate X bar for a right angle-case-1 by using a vertical strip? step by step guide to get the final expression.

Categories First moment of area-plain shapes Tags x bar for a right angle triangle

2-How to determine x bar for a right angle-case-1?

April 13, 2025February 1, 2021 by Maged kamel
brief illustration-Post 2-moment of area

How to estimate x bar for a right angle triangle case-1 by using a horizontal strip?

Categories First moment of area-plain shapes Tags x bar for a right angle triangle

1-What is the First moment of area?

May 18, 2023December 31, 2020 by Maged kamel
brief illustration-Post 1-moment of area

The lecture includes definitions for the area, Cg of an area, and the first moment of area, Moment of inertia, and product of inertia.

Categories First moment of area-plain shapes Tags What is the First moment of the area?

Categories

Case 2 for block Shear-Coped Beam Problem (1) Deflection of steel beams (3) Discontinuity functions table for loads (2) Find Zx and Mp for a given I shape. (1) Inertia Ix for Parallelogram. (2) introduction to Tension members (2) LU-partial pivoting (2) Mohr's circle of inertia part 2 (2) Part 1 of the Solved problem 5 for design shear strength (1) Part 2 of solved problem 5 for design shear strength (1) Permutation matrix. (2) Practice problem 5-2-2 find y bar (1) Practice problem 5-2-3 verify Zx for W18x50 (1) Simple interest and compound interest (2) Solved problem 5-2 for the plastic moment value for W10x60. (1) Solved problem 7-2 for K value for frame-1-3 (1) Solved problem 8-32, finding the plastic nominal load (2) Solved problems for the net area. (2) x bar for a right angle triangle (2) y bar for a right angle triangle by integration. (2)

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