2. The deflection of a uniform beam subject to a linearly increasing distributed load can be computed as Wo -(-x5 + 2L²×³ – L*x) 120EIL y = Given that L = 600 cm, E = 50,000 kN/cm2 , I = 30,000 cm , and wo = 2.5 kN/cm, determine the point of maximum deflection

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. The deflection of a uniform beam subject to a linearly increasing distributed
load can be computed as
Wo
y =
(-x5 + 2L²×³ – L*x)
120EIL
Given that L = 600 cm, E = 50,000 kN/cm2,1 = 30,000 cm , and wo = 2.5
kN/cm, determine the point of maximum deflection
a. using the golden-section search until five iterations with initial guesses
of x1 = 0 and x,u = L
b. Newton's method xo = 700 (at least 4 iterations)
Transcribed Image Text:2. The deflection of a uniform beam subject to a linearly increasing distributed load can be computed as Wo y = (-x5 + 2L²×³ – L*x) 120EIL Given that L = 600 cm, E = 50,000 kN/cm2,1 = 30,000 cm , and wo = 2.5 kN/cm, determine the point of maximum deflection a. using the golden-section search until five iterations with initial guesses of x1 = 0 and x,u = L b. Newton's method xo = 700 (at least 4 iterations)
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