(a) (x =Ly = 0) (x= 0, y - 0) (b) 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? wo y = -2³ +2L²x® – L*x)
(a) (x =Ly = 0) (x= 0, y - 0) (b) 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? wo y = -2³ +2L²x® – L*x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Homework 10
Q1
Q2
Q3
Q4
Q5
Q6
(a)
Q7
Q8 Q9
Q10
(x = L, y = 0)
(x = 0, y = 0)
(b)
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?
%3D
wo
(-a³ +2L²x³ – L^x)
120EIL
dy
dx
wo
(-5.xª + 6L²x² – L4)
120EIL
Choices
2.5236
1.402
2.804
4.206
Submit I Attempts 1 |
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