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6a- Two Solved problems for Newton-Raphson method.

June 15, 2025September 8, 2020 by Maged kamel
brief illustration for-Post 6A-Newton-Raphson method

Two solved problems for Newton-Raphson method for root extraction or roots finding are presented in this post.

Categories Solving non linear equations Tags Solved problems for the Newton-Raphson method.

6- Newton-Raphson method-Easy approach

March 21, 2024September 7, 2020 by Maged kamel
brief illustration for -Post 6-Newton-Raphson method

Newton-Raphson method. is another method for roots finding. The derivation of this method is based on the linear approximation method.

Categories Solving non linear equations Tags Newton-Raphson method.

13-Solved problem 4-6-how to find the available flexure strength?

July 24, 2025September 7, 2020 by Maged kamel
Brief data for post 13 -steel beam-Solved problem 4-6-available flexure strength

Solved problem 4-6- how to get the available flexure strength for a beam? this is an analysis problem, bracings distances are >Lp but less than Lr.

Categories lateral torsional buckling Tags How to find the available flexure strength?

12- Easy introduction to plastic bracing length Lp, Lr, Fcr.

March 30, 2025September 1, 2020 by Maged kamel
Brief illustration for Post 112-steel beams-Lp, Lr and fcr

Review of the information of Lp, Lr, Fcr, what are the relating equation for each item? a practice example is given for illustration of the subject.

Categories lateral torsional buckling Tags Review of the Information of Lp

4-Moment of inertia Iy for the rectangular section.

June 15, 2025September 1, 2020 by Maged kamel
Brief data for post-4-inertia

How to estimate the Moment of inertia Iy for the rectangular section about axis y? What will be the Iyg value at the Cg?

Categories Second moment of area for plain shapes Tags area moment of inertia for a rectangle Iy

11-Solved problem 4-5-Design a steel beam-(lb less than lp)

October 17, 2025August 28, 2020 by Maged kamel
Brief data for post 11-steel beam

Download the worked solution for Problem 4‑5: Design a steel beam with lb < lp. Includes assumptions, AISC checks, limit states, and final sizing in a detailed PDF.

Categories Design steel beam- based on Lb value. Tags Design a steel beam when lb is smaller than Lp

3- Easy introduction to Ix for the rectangular section.

June 15, 2025August 20, 2020 by Maged kamel
Brief data for post-3-inertia

How to estimate the Moment of inertia Ix for the rectangular section using a horizontal strip about axis x? What will be the Ixg value and radii of gyration?

Categories Second moment of area for plain shapes Tags area moment of inertia for a rectangle Ix

5A-Practice problems with linear approximation

December 19, 2024August 14, 2020 by Maged kamel

In this post, there are practice problems with linear approximation. these pr practice problems are using step-by-step illustration.

Categories Solving non linear equations Tags Practice problems for Linear Approximation method?
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