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4-Derive the expression for L-U values for-3×3 matrix.

September 17, 2025December 1, 2020 by Maged kamel
Brief illustration of Post 4- numerical linear.

Step-by-step guide on how to derive the expression for L-U values for-3×3 matrix using Doolittle’s method?

Categories Solution of linear systems Tags How to derive the expression for L-U values for-3x3 matrix?

18-A Review of portal frames-pin supports at base.

July 18, 2025December 1, 2020 by Maged kamel
Brief illustration for post 18-compression.

A review of portal frames subject, how to derive the internal forces for the portal frame with hinged supports at the base?

Categories Compression Members Tags A Review of the Pin Support Portal Frame

11-Moment of inertia Iy-Case-2 for a right-angle triangle.

June 20, 2025December 1, 2020 by Maged kamel
brief data for post-11-inertia

How to get the moment of inertia for a right-angle triangle -Iy-case-2?The procedure is done by using a vertical strip for integration. how to find polar moment of inertia Jo?

Categories Second moment of area for plain shapes Tags moment of inertia for a right-angle triangle Iy-case-2.

24- Easy approach to deflection of steel beams.

May 9, 2025November 30, 2020 by Maged kamel
Brief content of Post 24 for deflection of steel beams.

Deflection of steel beams, what are the disadvantages. What are the parameters controlling the deflection of steel beams?

Categories Deflection for steel beams Tags Deflection of steel beams

10-Ix-the moment of inertia for right-angle-Case-2.

June 15, 2025November 20, 2020 by Maged kamel
Brief data for post-10-inertia-Ix value for right-angle case-2.

How to get Ix-the moment of inertia for the right-angle triangle-Case-2? by using a horizontal strip, and the other method is to use a vertical strip.

Categories Second moment of area for plain shapes Tags Moment of inertia for a right-angle triangle Ix-case-2.

3-How to solve for x-y by L-U Decomposition?

September 17, 2025November 20, 2020 by Maged kamel
How to solve for x-y by L-U Decomposition?

How to solve for x-y by L-U Decomposition? Illustration by Gauss elimination for L and U matrices.

Categories Solution of linear systems Tags solving for the x and y for two equations by L/U Decomposition-Doolittle's method.

17-Alignment chart-part 2 for the unbraced frames.

July 18, 2025November 20, 2020 by Maged kamel
Brief illustration for post 17-compression-Review of Alignment chart.

Alignment chart-part 2, discussion about the conditions from which the alignment chart was developed and an introduction to the portal frame.

Categories Compression Members Tags Assumptions for the alignment chart.

9- Easy approach to Ixy for-right-angle -Case-1.

June 14, 2025November 15, 2020 by Maged kamel
Brief data for post-9-inertia. how to derive Ixy for a right-angle case-1?

How to estimate the product of inertia Ixy for a right-angle triangle case No.1 at the external axis? step-by-step illustration by using integration. Ixy at the Cg is derived.

Categories Second moment of area for plain shapes Tags Product of inertia for right angle triangle case-1.

23S- Solved problem 10-2, Table 3-2 for shear value.

October 12, 2024November 15, 2020 by Maged kamel
The contemt of post 23S.

A solved problem 10-2 indicates how to check the adequacy of shear using table 3-2. the second part is the relation between h/tw and Vn-CM#15.

Categories Shear for steel beams Tags How to use table 3-2 for shear value?

16a- Solved Problem 5-10 with more iterations-Fcr value.

July 24, 2025November 14, 2020 by Maged kamel
brief illustration for post 16a- compression posts.

A Solved Problem 5-10 with more iterations For the Available Strength Of A Column w16x26 which is a slender column.

Categories Compression Members Tags Solved Problem 5-10 with more iterations

2- Easy illustration for LU decomposition for 2×2 matrix.

September 17, 2025November 14, 2020 by Maged kamel
Easy illustration for LU decomposition for 2×2 matrix.

How to use the Lu decomposition method for a 2×2 matrix? A step-by-step guide to find L and U values?

Categories Solution of linear systems Tags How to find the L/U decomposition for the 2x2 matrix-Doolittle's method?

3-Bearing Type connections-part-2.

September 19, 2025November 14, 2020 by Maged kamel
Brief illustration post 3-bearing types connections-part 2

This is bearing Type connections-part-2. The topics include the nominal tensile strength of a bolt. Edge spacing and bolts spacing.

Categories Bolted Connection Tags Bearing Type connections part 2

22S-Step-by-step guide to the solved problem 10-2 for beam.

October 12, 2024November 7, 2020 by Maged kamel
The content of post 22 for shear.

A solved problem 10-2 indicates how to check the adequacy of shear for a given W section beam? The relation between h/tw and vn for CM#14.

Categories Shear for steel beams Tags Beam adequacy for shear.

21S- Solved problem 2-22 for shear stress estimation-part 2

September 8, 2024November 5, 2020 by Maged kamel
Brief data for post 21-steel beam

A solved problem 2-22 that includes three different shapes and the shear stresses-for each shape to be evaluated and drawn, Aisc provision for shear is also included.

Categories Shear for steel beams Tags A Solved problem for shear stress

20S- A guide to solved problem 2-22 for shear stress-part-A

June 7, 2024November 3, 2020 by Maged kamel
Brief data for post 20 -steel beam

A solved problem 2-22 for shear stress, it is required to estimate in part-a, the shear stress for a rectangle with given force and dimension in inches.

Categories Shear for steel beams Tags A Solved problem for shear stress part 1
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