Calculating Centroid of Composite Bodies, Engineering Mechanics, Statics በ አማርኛ

In this tutorial, we walk through the process of finding the coordinates of the centroid (X̄ and Ȳ) for a composite shape consisting of rectangles, triangles, and circular sections. Understanding how to locate the centroid of complex shapes is essential for students and professionals in various engineering fields.
We break down the problem-solving approach into the following key steps:
1. Dividing the composite shape into simpler, known shapes (rectangle, triangle, and circular section)
2. Preparing a table to organize the data for each shape, including area, X̄, Ȳ, X̄ × Area, and Ȳ × Area
3. Calculating the area of each individual shape using appropriate formulas
- Assigning negative areas for hollow or subtracted sections (e.g., the circular section)
4. Determining the X̄ and Ȳ coordinates of each shape's centroid relative to the chosen origin
- Using geometric properties and centroid formulas for each shape type
5. Calculating the X̄ × Area and Ȳ × Area values for each shape
6. Summing up the areas, X̄ × Area, and Ȳ × Area values for all shapes
7. Using the centroid formulas to calculate the centroid of the composite shape:
- X̄ = Σ(X̄ × Area) ÷ ΣArea
- Ȳ = Σ(Ȳ × Area) ÷ ΣArea
By following this step-by-step guide, you'll gain a clear understanding of how to approach centroid calculations for composite shapes, breaking down the problem into manageable parts. Perfect for students and professionals who need to master this essential concept in various engineering disciplines.
#Centroid #CompositeShapes #EngineeringMechanics #ProblemSolving #AreaCalculations #CoordinateSystem

[@DonPlazo]

great i love your teachings. please which software are you using to creat your videos?

[@Toptech123]

Thank you, sir, I really appreciate that. But the circular shape looks like an ellipsis. Is that matter of the picture or is that ellipsis as per the question? .The main point is just how to calculate the centroid and that is clear sir you explained it very well.

[@Civiltimes2210]

That is a good question the as far as the question is concerned, the shape is a circle however when I paste the picture I did not adjust it. So you are right it looks like ellipsis but in general, if it was ellipsis two radius would have been given.

[@NuredinAwol-zh2jf]

wow thank you dr.

[@NuredinAwol-zh2jf]

wow thank you dr

[@5-allin5minutes40]

Thank you sir,

[@manbest5818]

On a time!!

[@zahraomer5447]

ዋዉ👍

[@erehyeager3029]

Thank you!

[@ilyasmuse2100]

You are good but explain only english to understand always like this lesson thnks

[@urgessakelbessa7803]

Thank you. But don't change your pronouncation to looks native speaker

[@Civiltimes2210]

Arfeh temar, native speaker lememsel endefelgku bemin awek?

[@natnaellegese1680]

tileyaleh