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Solving non linear equations

Solving non-linear equations include the following methods:

1- bisecting method.

2-False position method.

3-Fixed point iteration.

9-Maximum deflection distance by Newton-Raphson method.

July 23, 2024September 30, 2020 by Maged kamel
brief illustration for -Post 9-maximium deflection distance

Maximum deflection distance for a simply supported beam under triangular load numerically. How to use the Newton-Raphson method for root findings?

Categories Solving non linear equations Tags Maximum deflection distance by Newton-Raphson method.

8- Structural analysis numerically by Newton-Raphson method.

March 21, 2024September 20, 2020 by Maged kamel
brief illustration for -Post 8-structural analysis byNewton-Raphson method

Perform structural analysis using the Newton-Raphson method for a beam under uniformly distributed load and get the maximum deflection point location.

Categories Solving non linear equations Tags How to use the Newton-Raphson method for structural analysis?

7A-Solved problem-8 by Modified Newton-Raphson method

January 11, 2024September 19, 2020 by Maged kamel
brief illustration for -Post 7A-modified Newton-Raphson method

A solved problem-8 by modified newton Raphson Method. A step-by-step guide comparison is made between the newton method and the modified Newton Raphson method.

Categories Solving non linear equations Tags Solved problem-8 by Modified Newton-Raphson.

7- An Easy Guide to Modified Newton-Raphson method.

March 21, 2024September 10, 2020 by Maged kamel
brief illustration -Post 7-modified Newton-Raphson method

The Modified Newton-Raphson method is another method for root finding. A simple modification to the previous method of Newton -Raphson was introduced.

Categories Solving non linear equations Tags Modified Newton-Raphson method.

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

September 23, 2024September 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.
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Categories

CB value-bracing at the midpoint of a beam-uniform load (1) CB value-bracing at third points of a beam-uniform load (1) Compact and non compact sections. (1) Deflection of steel beams (3) Discontinuity functions table for loads (2) Effective length factor for an inelastic column. (1) How to design a steel beam? (1) Inertia Ix for Parallelogram. (2) Introduction to Numerical analysis part 2 (1) introduction to Tension members (2) list of steel beams posts-part -4a (1) List of tension members posts-part 3 (1) LU-partial pivoting (2) Mohr's circle of inertia part 2 (2) Moment of inertia Ix for the Trapezium-second option (1) Permutation matrix. (2) Product of inertia Ixy for the parallelogram (1) Review of AISC table 2-5 for plates. (1) Simple interest and compound interest (2) Solved problem-7-4-1 (1) Solved problem-8 by Modified Newton-Raphson. (1) Solved problem 5-2 for the plastic moment value for W10x60. (1) Solved problem 7-2 for frames 1-3 (1) Solved problem 8-32, finding the plastic nominal load (2) Solved problems for the net area. (2) steel beam posts part -2a (1) Two Practice problems for inertia for trapezium. (1) Two Practice problems for Ixy for trapezium (1) Uniform series of compound interest. (2) video-Use a vl strip to get Ix for right-angle case-2 (1) Video for Ix and Iy for an isosceles (1) Video for Ix for a right-angle case -2-Use Hl strip. (1) Video for Mohr's circle of inertia case-2. (1) x bar for a right angle triangle (2) y bar for a right angle triangle by integration. (2)

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