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how to solve Beam on elastic foundation equation

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MB S
MB S on 12 Feb 2020
Commented: MB S on 17 Feb 2020
Hi I want to solve the below equation of an infinite steel beam with a modulus of rigidity as 'EI' resting on an elastic foundation represented by springs with stiffness 'k' with MATLAB.
BOEF.JPG
the boundary conditions are zero displacement at extreme ends and zero slope under the load. Any help in this regards will be highly appreciated, thanks

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Answers (1)

KSSV
KSSV on 12 Feb 2020
You can use symbolic calcultations. Like below:
syms E I k w(x)
eqn = E*I*diff(w,x,4)+k*w == 0 ;
sol = dsolve(eqn) ;
You can apply boundary conditions also. Refer more here:

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MB S
MB S on 17 Feb 2020
Dear KSSV! thank you so much for your prompt response, its very helping, but being a new user I don`t know much about applying the boundary conditions.

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