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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 Python code to calculate the maximum deflection (i.e., dy/dx=0) using the bisection method. Use xL-1, xU-5, L = 6.6 m, E = 58000 kN/cm2, I-40000 cm4, and w0=2.5 kN/cm. What will be the value of x (i.e., the location of maximum deflection) after 8 bisection iteration? y = dy dr wo 120EIL (³+2L²³ - L^x) wo -(-5x4 +6L²x² - LA) 120EIL = 2.6578 2.9531 1.4766 4.4297 Submit ** (x = 0, y = 0) **** (a) (b) (x = Ly=0)

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 Python code to calculate the maximum deflection (i.e., dy/dx=0) using the bisection method. Use xL-1, xU-5, L = 6.6 m, E = 58000 kN/cm2, I-40000 cm4, and w0=2.5 kN/cm. What will be the value of x (i.e., the location of maximum deflection) after 8 bisection iteration? y = dy dr wo 120EIL (³+2L²³ - L^x) wo -(-5x4 +6L²x² - LA) 120EIL = 2.6578 2.9531 1.4766 4.4297 Submit ** (x = 0, y = 0) **** (a) (b) (x = Ly=0)

Computer Networking: A Top-Down Approach (7th Edition)
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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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 Python code to calculate the maximum deflection (i.e., dy/dx=0) using the bisection method. Use xL=1, xU=5, L = 6.6 m, E = 58000 kN/cm2, I =40000 cm4, and w0= 2.5 kN/cm. What will be the value of x (i.e., the location of maximum deflection) after 8 bisection iteration? y = dy dx wo (-x5 +2L²x³ - L¹x) 120EIL wo 120EIL 02.6578 02.9531 1.4766 4.4297 Submit (-5x² -5x4 +6L²x² - LA) (x = 0, y = 0) L (a) (b) Wo (x = L, y = 0) /////.
Transcribed Image Text: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 Python code to calculate the maximum deflection (i.e., dy/dx=0) using the bisection method. Use xL=1, xU=5, L = 6.6 m, E = 58000 kN/cm2, I =40000 cm4, and w0= 2.5 kN/cm. What will be the value of x (i.e., the location of maximum deflection) after 8 bisection iteration? y = dy dx wo (-x5 +2L²x³ - L¹x) 120EIL wo 120EIL 02.6578 02.9531 1.4766 4.4297 Submit (-5x² -5x4 +6L²x² - LA) (x = 0, y = 0) L (a) (b) Wo (x = L, y = 0) /////.
Expert Solution
Step 1

clc
clear all
% constants
L = 6.02;
E = 58000;
I = 30000;
w0 = 2.5;

% function dy/dx
f =@(x) w0/120/E/I/L *(-5*x^4 + 6*(L*x)^2 - L^4);

iter = 0; % no of iteration

% Initial guess
x1 = 1;
x2 = 4;

n = 8; % Total no of iteration to be done

while iter < n
    
    c = (x1 + x2)/2; % bisection
    
    if(f(c)*f(x1) > 0) % if f(c) and f(x1) are of same sign
        
        x1 = c;
        
    else
        
        x2 = c;
        
    end
    
    iter = iter + 1; % increment no of iteration by 1
    
end

fprintf('\nAfter 8 bisection iteration\nLocation of maximum deflection x = %0.4f\n',c);

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