The basic differential equation of the elastic curve for a cantilever beam (Figure) is given as El
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The basic differential equation of the elastic curve for a cantilever beam (Figure) is given as
El d2y/dx2 = -P(L - x)
where E = the modulus of elasticity and l = the moment of inertia. Solve for the deflection of the beam using a numerical method. The following parameter values apply: E = 30,000 ksi, l = 800 in4, P = 1 kip, L = l0 ft. Compare your numerical results to the analytical solution.
y = - PLx2/2El +Px3/6El
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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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