Please write a code in MATLAB by using the BISECTION METHOD to solve the problem below. Thank you! Example 1You are making a bookshelf to carry books that range from 8½" to 11" in height and wouldtake up 29" of space along the length. The material is wood having a Young's Modulus of3.667 Msi, thickness of 3/8" and width of 12". You want to find the maximum verticaldeflection of the bookshelf. The vertical deflection of the shelf is given byv(x) = 0.42493×10x³ -0.13533×10x³ -0.66722×10x¹ -0.018507xwhere x is the position along the length of the beam. Hence to find the maximum deflectiondvwe need to find where f(x)== = 0 and conduct the second derivative test.dxBooksBookshelfFigure 1 A loaded bookshelf.The equation that gives the position x where the deflection is maximum is given by-0.67665x10x¹ -0.26689×10x³ +0.12748x10x² -0.018507 = 0Use the bisection method of finding roots of equations to find the position x where thedeflection is maximum. Conduct three iterations to estimate the root of the above equation.Find the absolute relative approximate error at the end of each iteration and the number ofsignificant digits at least correct at the end of each iteration.

MATLAB is to solve the problem conveniently: First we find acceptable roots of the second equation…

Answered: Please write a code in MATLAB by using…

Engineering

Civil Engineering

Please write a code in MATLAB by using the BISECTION METHOD to solve the problem below. Thank you!

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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MATLAB

MATLAB software is a registered trademark, multi-model programming language, and numerical computing environmental system created by MathWorks. 'MATLAB' is the short-form of "Matrix Laboratory". The MATLAB software permits the utilization of matrix operations, graphical representation of data, execution of algorithms, development of user interface, and linking programs created in other languages. Even though MATLAB is developed mainly for numerical computing, there is an optional toolbox that uses a symbolic engine known as MuPAD giving access to all the symbolic computing abilities. In addition to this, a Simulink package delivers graphical multi-domain simulation and design that is model-based for embedded and dynamic systems. MATLAB users are spread worldwide across the world and use MATLAB extensively.

Question

Please write a code in MATLAB by using the BISECTION METHOD to solve the problem below. Thank you!

Example 1
You are making a bookshelf to carry books that range from 8½" to 11" in height and would
take up 29" of space along the length. The material is wood having a Young's Modulus of
3.667 Msi, thickness of 3/8" and width of 12". You want to find the maximum vertical
deflection of the bookshelf. The vertical deflection of the shelf is given by
v(x) = 0.42493×10x³ -0.13533×10x³ -0.66722×10x¹ -0.018507x
where x is the position along the length of the beam. Hence to find the maximum deflection
dv
we need to find where f(x)== = 0 and conduct the second derivative test.
dx
Books
Bookshelf
Figure 1 A loaded bookshelf.
The equation that gives the position x where the deflection is maximum is given by
-0.67665x10x¹ -0.26689×10x³ +0.12748x10x² -0.018507 = 0
Use the bisection method of finding roots of equations to find the position x where the
deflection is maximum. Conduct three iterations to estimate the root of the above equation.
Find the absolute relative approximate error at the end of each iteration and the number of
significant digits at least correct at the end of each iteration.

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