## 9-Maximum deflection distance by Newton-Raphson method.

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

Solving non-linear equations include the following methods:

1- bisecting method.

2-False position method.

3-Fixed point iteration.

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

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

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

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

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

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

Introduction to linear approximation, what is a linear approximation equation?

In numerical analysis, fixed-point iteration is a method of computing the roots of a function by changing the typical f(x)=y form to another form which is x= g(x).

The false position method is another numerical method for roots finding, The same Solved problem will be used to get the root for f(x) by false position.

The bisecting method can be done by taking the average value of the horizontal distance between points of brackets, and then substitute it in the function.