8. The deflection of a simply supported beam is given by the BVP: y" - 10-7y = 10-8x(x – L) over 0SXSL with y(0) = y(L) = 0 %3D a. Determine the deflection of the beam using the shooting method (if you want to solve this by hand, use a large step, say h = 10. Otherwise code this and experiment numerically, for example investigate the effects of different step size. You may also add in Matlab "tic...toc" as a timer to calculate the time Matlab takes to solve your equation. You can explore how this time varies with different time steps, for example h 10; h 1; h 0.1) b. Determine the deflection of the beam using the finite difference method (same comments as in a.) %3D

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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8. The deflection of a simply supported beam is given by the BVP:
y" – 10-7y = 10-x(x-L)
over 0 SXSL
with y(0) = y(L) = 0
a. Determine the deflection of the beam using the shooting method (if you want to solve this
by hand, use a large step, say h = 10. Otherwise code this and experiment numerically, for
example investigate the effects of different step size. You may also add in Matlab "tic..toc"
as a timer to calculate the time Matlab takes to solve your equation. You can explore how
this time varies with different time steps, for example h D
b. Determine the deflection of the beam using the finite difference method (same comments
as in a.)
10; h = 1; h = 0.1)
Transcribed Image Text:8. The deflection of a simply supported beam is given by the BVP: y" – 10-7y = 10-x(x-L) over 0 SXSL with y(0) = y(L) = 0 a. Determine the deflection of the beam using the shooting method (if you want to solve this by hand, use a large step, say h = 10. Otherwise code this and experiment numerically, for example investigate the effects of different step size. You may also add in Matlab "tic..toc" as a timer to calculate the time Matlab takes to solve your equation. You can explore how this time varies with different time steps, for example h D b. Determine the deflection of the beam using the finite difference method (same comments as in a.) 10; h = 1; h = 0.1)
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