esktop/Year%203%20-%20Semester%202-20220628T055237Z-001/Year%203%20-%20Semester%202/MSE%20358%20- The equation of the elastic curve of a uniform beam subjected to a linearly increasing distributed load is given by 1. Wo 120EIL y = (-x5 + 2L²x³- L^x) (a) Use bisection to determine the point of maximum deflection. (i.e., the value of x where dy/dx=0). (x₂=0, x=5.0 meters, &, = = 10 %) (b) Substitute this value into y (given above) to determine the value of the maximum deflection. Use the following parameter values in your computation: (mind the units). L = 600 cm, E = 50,000 kN/cm², I = 30,000 cm, and wo = 2.5 kN/cm.
esktop/Year%203%20-%20Semester%202-20220628T055237Z-001/Year%203%20-%20Semester%202/MSE%20358%20- The equation of the elastic curve of a uniform beam subjected to a linearly increasing distributed load is given by 1. Wo 120EIL y = (-x5 + 2L²x³- L^x) (a) Use bisection to determine the point of maximum deflection. (i.e., the value of x where dy/dx=0). (x₂=0, x=5.0 meters, &, = = 10 %) (b) Substitute this value into y (given above) to determine the value of the maximum deflection. Use the following parameter values in your computation: (mind the units). L = 600 cm, E = 50,000 kN/cm², I = 30,000 cm, and wo = 2.5 kN/cm.
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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Transcribed Image Text:esktop/Year%203%20-%20Semester%202-20220628T055237Z-001/Year%203%20-%20Semester%202/MSE%20358%20-%20
The equation of the elastic curve of a uniform beam subjected to a linearly increasing distributed
load is given by
1.
3.
(−x³ + 2L²x³ − Lªx)
(a) Use bisection to determine the point of maximum deflection. (i.e., the value of x where
dy/dx=0). (x=0, x = 5.0 meters, &, = 10%)
Wo
120EIL
y =
(b) Substitute this value into y (given above) to determine the value of the maximum
deflection.
Use the following parameter values in your computation: (mind the units). L = 600 cm, E =
50,000 kN/cm², I = 30,000 cm, and wo = 2.5 kN/cm.
Determine the positive real root of In(x²)=0.7
(a) Using three iterations of the bisection method, with initial guesses of x = 0.5 and x₂ = 2.0
(b) Using three iterations of the false-position method, initial guesses as in (b).
between x = 0 and x = 1.3
Use both the bisection and false position methods to locate the root of
f(x)
= = x¹0 - 1
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