The basic differential equation of the elastic curve for a uniformly loaded beam (Figure) is given as
Question:
The basic differential equation of the elastic curve for a uniformly loaded beam (Figure) is given as
El d2y/dx2 = wLx/2 – wx2/2
where E = the modulus of elasticity and l = the moment of inertia. Solve for the deflection of the beam using
(a) The finite-difference approach (Δx = 2 ft) and
(b) The shooting method. The following parameter values apply; E = 30,000 ksi, l = 800 in4, w = 1 kip/ft, L = l0 ft. Compare your numerical results to the analytical solution,
Transcribed Image Text:
w Lx3 y = 12 EI wx* 24 EI 24 EI
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This is a boundaryvalue problem because the values of only one of the variables are known at two sep...View the full answer
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Related Book For
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
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