Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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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 opera…
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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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Transcribed Image Text: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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