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(Solved): Need help with using Rayleigh Ritz method with the hints provided to determine deflection at point B ...
Need help with using Rayleigh Ritz method with the hints provided to determine deflection at point B. Thank you for time and help. For the beam shown in the figure, a force
Pis applied at right end and the beam is fixed at left end. The beam flexure rigidity is
EIfor the right half, and is
E(I)/(2)for the left half of the beam. Using the Rayleigh-Ritz method to determine the deflection (
\delta ) at point B . Assume deflection
v=a_(1)x^(3)+a_(2)x^(2)+a_(3)x+a_(4)Hint: apply boundary condition to find coefficient in the deflection function, then calculate the total potential energy of the beam to solve the problem, for a beam with flexure rigidity EI and length
L, the strain energy
U=(El)/(2)\int_0^L ((dv)/(dx))^(2)dx