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# I have this HW and I need someone to answer it allClass is ME 599 src="/qa/attachment/10754857/" alt="Screen Shot 2019-10-14 at 5.03.33 PM.png" /> Attachment 1 Attachment 2 ATTACHMENT PREVIEW Download attachment Screen Shot 2019-10-14 at 5.03.25 PM.png 1. (30 pts) The governing equation for deflection w(x) of a beam of length L subjected to transverse loading p(x) is given by d4 P ( x) = 0, 0&lt; x&lt; 1 Assume the following boundary conditions: w(0) = 0, dw (0) =odw d' w dx dx2 (L) = M. (L) =-V and use the following approximate solution (Galerkin Method) W(x) = _c,p. (x) in order to show that the governing equation can be written as K. C. = F, where Ko = Jo dx2 dx- -dx, and F, = [ p(x)edx_d'w d'w do. dx dx 2. (35 pts) (a) Solve the fourth order differential equation given in problem 1 using L=1, p(x)=1,V=1, M=2, and w(x) = Eco, (x) = qx+c,x +cax+cax*. (b) Plot the approximate solution w(x) as a function of x and compare it with the exact solution, w(x) : 24 ATTACHMENT PREVIEW Download attachment Screen Shot 2019-10-14 at 5.03.33 PM.png 3. (35 pts) Consider the rod element stiffness matrix. K() = 1 . and the force vector F(@) = ['9) [ P(x) [N (5) N2 (5) d5 . Use a) two and b) three finite elements of equal length in order to solve the following differential equation: d'u dx2 -+p=0, 0&lt;x&lt;L, u(0)=u(L)=0, p=10 N/m, L=0.3 m, E=10 GPa, and A=104 m'. c) Solve the differential equation exactly and compare it with the numerical solutions of part a and part b.

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