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)
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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)
/////.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2b54370-3c39-40db-a25a-da953e4e00fe%2F917bf94b-89f6-441b-9273-cb9762f78fea%2Fodbhvv_processed.png&w=3840&q=75)
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)
/////.
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