Question #$3$

The figure below shows a uniform beam subjected to a linearly increasing distributed load.

The equation for the resulting elastic curve is:

$y=\frac{{}_o}{120\text{E}\text{I}\text{L}}(-x^5+2L^2{x}^3-L^{4}x)$

Use the bisection method to determine the point of maximum deflection $($i$.$e$.$ the value

of $x$ where $d\frac{y}{d}x=0)$ with an initial interval $[0,5]m.$ Do the first $5$ iterations by

hand and compute the relative error $($RE$)$ using the following formula:

$RE=|\frac{x_i-x_{i-1}}{x_i}|100\%$

Use the following parameter values in your computations: $L=600cm,$

$E=50,000k\frac{N}{c}{m}^2,I=30,000c{m}^4,$ and ${}_o=2\mathrm{.}5k\frac{N}{c}m$

Write a MATLAB code that solves until the ${22}^{nd}$ iteration. What is the $RE?$ Please write a proper smooth matlab code thank you.