**Beam Deflection Analysis under Linearly Increasing Load****Figures Description:**The two figures illustrate a beam subjected to a linearly increasing distributed load and its resulting elastic curve (deflection). Figure (a) shows the beam with the load distribution increasing linearly from zero to \( w_0 \) along its length. Figure (b) depicts the deflected shape of the beam, where \( x = 0, y = 0 \) and \( x = L, y = 0 \).**Problem Statement:**A beam is subjected to a linearly increasing distributed load. The elastic curve (deflection) is depicted in the figure. The equation to find the maximum deflection (where \( \frac{dy}{dx} = 0 \)) is given below. The task is to create a MATLAB code to calculate this maximum deflection using the bisection method.**Given Parameters:**- \( L = 6.27 \, \text{m} \)- \( E = 73000 \, \text{kN/cm}^2 \)- \( I = 38000 \, \text{cm}^4 \)- \( w_0 = 2.5 \, \text{kN/cm} \)**Equations:**The deflection equation is:\[ y = \frac{w_0}{120EI} \left( -x^5 + 2L^2 x^3 - L^4 x \right) \]The derivative of deflection (slope) is:\[ \frac{dy}{dx} = \frac{w_0}{120EI} \left( -5x^4 + 6L^2 x^2 - L^4 \right) \]**Task:**Determine the value of \( x \) (location of maximum deflection) after 15 bisection iterations using initial guesses of 1 and 5.**Choices (for \( x \)):**- 2.5236- 1.402- 2.804- 4.206**Instructions:**Write and execute a MATLAB code using the given parameters and equations to find which of the above choices corresponds to the value of \( x \) after 15 iterations of the bisection method.

Please find the answer below Answer : Option C : 2.804 Code Screenshot : Executable Code: %Declaring and Initializing valuesL = 6.27;E = 73000;I = 38000;w0 = 2.5;%Using the given Formulaf =@(x) w0/120/E/I/L *(-5*x^4 + 6*(L*x)^2 - L^4);i = 0; x1 = 1;x2 = 4;n = 15; %Iterating while i < n c = (x1 + x2)/2; if(f(c)*f(x1) > 0) x1 = c; else x2 = c; end i = i + 1; end%Printing the result fprintf('x = %0.3f\n',c); Sample Output : Please do rate the answer if it is helpful thanks :)

Engineering

Computer Engineering

A beam is subjected to a linearly increasing distributed load. The elastic curve (deflection) is shown in the figure. The equation to find the maximum deflection is given below. Create a matlab code where you can calculate the maximum deflection (dy/dx=0) using the bisection method. Use initial guesses of 1 and 5, L= 6.27 m, E = 73000 kN/cm2, I =38000 cm4, and w0= 2.5 kN/cm. What will be the value of x (location of maximum deflection) after 15 bisection iteration?

A beam is subjected to a linearly increasing distributed load. The elastic curve (deflection) is shown in the figure. The equation to find the maximum deflection is given below. Create a matlab code where you can calculate the maximum deflection (dy/dx=0) using the bisection method. Use initial guesses of 1 and 5, L= 6.27 m, E = 73000 kN/cm2, I =38000 cm4, and w0= 2.5 kN/cm. What will be the value of x (location of maximum deflection) after 15 bisection iteration?

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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