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?

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Wo
Home I(O
noPHP) I
Homework 10
Q2
Q1
Q3
L
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?
wo
-(-æ³ +2L²x³ – L^x)
120EIL
dy
de
wo
(-5xª + 6L²x² – Lª)
120EIL
Choices
2.5236
1.402
2.804
4.206
Submit I Attempts 1 |
Transcribed Image Text:Wo Home I(O noPHP) I Homework 10 Q2 Q1 Q3 L 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? wo -(-æ³ +2L²x³ – L^x) 120EIL dy de wo (-5xª + 6L²x² – Lª) 120EIL Choices 2.5236 1.402 2.804 4.206 Submit I Attempts 1 |
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