The deflection of a uniform beem subject to a linearly increasing distributed load can be computed as y w 0 120EIL ( x 5 2L 2 x 3 L 4 x) Given that L 600 cm, E 50,000 kN cm 2 , I 30,000 cm 4 , and w 0 2 5 kN cm, determine the point of maximum deflection (a) Graphically, (b) Using the golden section...

a A graph indicates the minimum at about x 270 b Golden section search Because f x 2 f x 1 the minim ...

The deflection of a uniform beem subject to a linearly increasing distributed load can be computed as

Question:

The deflection of a uniform beem subject to a linearly increasing distributed load can be computed as

y = w₀/120EIL (– x⁵ + 2L² x³ – L⁴x)

Given that L = 600 cm, E = 50,000 kN/cm², I = 30,000 cm⁴, and w₀ = 2.5 kN/cm, determine the point of maximum deflection

(a) Graphically,

(b) Using the golden-section search until the approximate error falls below ε_s = 1% with initial guesses of x₁ = 0 and x_u = L.

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Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

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Question Posted: Nov 25, 2011 07:35 AM

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The deflection of a uniform beem subject to a linearly increasing distributed load can be computed as

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