Question

Given the indeterminate beam shown below, use FEM to compute the final stiffness matrix and force vector of the Ku f problem using three elements with the lengths prescribed in the figure. Your work should include all boundary conditions. The beam has the properties E 3.0E6 psi and I 4.5 in 30 lb/in Fo-500 q2 20 lb/in 12 in The weak formulation gives the following expressions for the generic element force vector qe and stiffness matrix Ke. 12Eele 6Eel 20 he"(39A + 24a) 6Eele 4Eele 60 12Eele 6Eele 20 6Eele 2Eel 6Eele 4E.I 60 Where qA and qB are the values of the linear distributed load at the beginning and at the end of the element. The length of the element is he Note: There is no need to calculate the final displacements, just the final K matrix and f vector

Answer 1

Cnive C1 Fo 2 Clonats h) C4) 13.56 -0,02 0.25 0.02 0.125/3) -о-ог О.ux 0.02 0.25fa) he 20( 4 5 0.0丐o.i/ag 14-13.seb | _ o. 3150.2 .3 315 052

Elomeb 1) (わ C8) 6.9如. o.042. -O.042 -s.qno> -1.980 0427 -0. 13.F5 ο-ου 26.ax10 0.04e !(Y) 0:042 .33 8) Coundou Core u 20. 3 -D, o1S 0-1 063 o.ou อ. I6t /c)

05 0 015 0 1 0.16す11u -O O1 0,530.42 3 mb et or กา