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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.

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.
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Case 2 for block Shear-Coped Beam Problem (1) CB value-bracing at the midpoint of a beam-uniform load (1) CB value-bracing at third points of a beam-uniform load (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 Tension members (2) list of steel beams posts-part -4a (1) LU-partial pivoting (2) Mohr's circle of inertia part 2 (2) Moment of inertia Ix for the Trapezium-second option (1) Part 1 of the Solved problem 5 for design shear strength (1) Part 2 of the Solved problem 5 for design shear strength (1) Permutation matrix. (2) Practice problem for the x and y coordinates of a trapezoid (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 for a right-angle triangle (1) Video for Ixy for a right-angle triangle case 1. (1) Video for Ixy for a triangle (1) x bar for a right angle triangle (2) y bar for a right angle triangle by integration. (2)

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