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Second moment of area for plain shapes

The inertia for the different plain shape-rectangles-isosceles, Triangles, parallelograms, and trapezium.

27-Two Practice problems for Ixy for trapezium.

June 14, 2025July 18, 2024 by Maged kamel
Two Practice problems for Ixy for trapezium

The post includes Two Practice problems for Ixy for trapezium. The first problem is for Ixy about an external axis, while the second is for Ixy at the CG.

Categories Second moment of area for plain shapes Tags Two Practice problems for Ixy for trapezium

26-Two Practice problems for polar of inertia for trapezium.

April 22, 2025July 17, 2024 by Maged kamel
Two practice problems for polar of inertia.

The post includes Two Practice problems for polar of inertia for trapezium. The first problem is for Jo and Ko at an external axis, while the second is for Jo and Ko at the CG.

Categories Second moment of area for plain shapes Tags Two Practice problems for polar of inertia for trapezium

25-Two Practice problems for inertia for trapezium.

April 22, 2025July 17, 2024 by Maged kamel
Practice problems for inertia of a trapezium.

We have two practice problems for inertia and radius of gyration for a given trapezium. A step-by-step guide to get Ix and kx.

Categories Second moment of area for plain shapes Tags Two Practice problems for inertia for trapezium.

24- Ix for the Trapezium second option

April 22, 2025June 17, 2023 by Maged kamel
Moment of inertia for Trapezium-second option.

Ix for the Trapezium second option, we will use a horizontal strip and integrate it to get the final expression for Ix .

Categories Second moment of area for plain shapes Tags Moment of inertia Ix for the Trapezium-second option

23- Product of inertia Ixy for the parallelogram

March 7, 2025May 15, 2023 by Maged kamel
Product of inertia for a parallelogram.

Product of inertia Ixy for the parallelogram. Step-by-step guide for the estimation for the radius of gyration for the product of inertia.

Categories Second moment of area for plain shapes Tags Product of inertia Ixy for the parallelogram

22- Easy illustration of Iy for the Trapezium.

July 14, 2025April 13, 2022 by Maged kamel
Iy for trapezium

Moment of inertia Iy for the Trapezium, How to get the Iy value for the trapezium? and how to get the polar of inertia?

Categories Second moment of area for plain shapes Tags Trapezium moment of inertia Iy

21- How to find Moment of Inertia Iy for Parallelogram?

July 12, 2025April 1, 2021 by Maged kamel
Moment of inertia Iy for parallelogram.

How to find Moment of Inertia Iy for Parallelogram? A step-by-step guide to finding the inertia at the Cg and the radius of gyration.

Categories Second moment of area for plain shapes Tags Inertia Ix for Parallelogram.

20-How to get a moment of Inertia Ix for Parallelogram?

April 7, 2023March 15, 2021 by Maged kamel
Ix for a moment of inertia for a parallelogram.

How to get a moment of Inertia Ix for Parallelogram? A step-by-step guide to find the inertia and the radius of gyration about the x-axis.

Categories Second moment of area for plain shapes Tags Inertia Ix for Parallelogram.

19- Discovering Ix for the Trapezium: A Step-by-Step Guide.

March 24, 2025March 10, 2021 by Maged kamel
Moment of inertia ix for Trapezium.

Moment of inertia Ix for the Trapezium, step by step procedure to get the Ix value for the trapezium by dividing it into two triangles and one rectangle.

Categories Second moment of area for plain shapes Tags Moment of inertia Ix for the Trapezium.

18-Product of inertia Ixy for an isosceles triangle.

June 14, 2025March 1, 2021 by Maged kamel
Brief data for post–18-inertia-ixy for an isosceles triangle.

The estimation of the product of inertia Ixy for an isosceles triangle. The Product of inertia Ixy for an isosceles at the CG is estimated.

Categories Second moment of area for plain shapes Tags Product of inertia Ixy for the isosceles triangle.

17-Moment of inertia for an isosceles triangle-Ix,Iy.

June 14, 2025February 15, 2021 by Maged kamel
Data for video-17-inertis.

A guide to estimating the moment of inertia for an isosceles triangle-Ix, Iy. An isosceles triangle is a special case of a triangle.

Categories Second moment of area for plain shapes Tags Moment Of Inertias For an Isosceles Triangle-Ix

16-Polar Moment of inertia j- for the triangle.

June 14, 2025February 11, 2021 by Maged kamel
Brief data for post-16-inertia

The polar moment of inertia j for a triangle. Two methods are used to get the polar moment of inertia for a triangle and the CG polar moment of inertia.

Categories Second moment of area for plain shapes Tags Polar moment of inertia J for the triangle.

15-Product of inertia Ixy-for the triangle.

June 14, 2025February 8, 2021 by Maged kamel
Brief data for post-15-inertia-Ixy for a triangle.

How to estimate the product of inertia Ixy for a triangle? the procedure considered the triangle as composed of two right-angle triangles, the complete steps are shown.

Categories Second moment of area for plain shapes Tags Product of inertia Ixy

14a-How to get of Moment of inertia Iy-at Cg for a triangle?

June 14, 2025February 2, 2021 by Maged kamel
Brief data for post-14a-inertia-Iy at the Cg for a triangle.

How to estimate the moment of inertia Iy-at Cg for a triangle? using the value of Iy of a triangle we can get the inertia Iy-at Cg.

Categories Second moment of area for plain shapes Tags Iy at the Cg for a triangle.

14-The Moment of inertia Iy for a triangle.

June 14, 2025January 30, 2021 by Maged kamel
Brief data for post-14-inertia-Find Iy for a triangle

A full estimate of the moment of inertia Iy for any given triangle? the procedure considered the triangle as composed of two right-angle triangles.

Categories Second moment of area for plain shapes Tags Moment of inertia Iy- for the triangle.
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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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