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HW3 - that s fs f f ff U K P U K − = Here f P is a vector...

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(d) Follow an “element-by-element” assembly process to construct the global system of equations P = KU (of course, you should get the same result as you obtained in part (c)). When constructing the global stiffness matrix K, show the partially constructed matrix which results after considering element (1) alone, that which results after considering element (2) (i.e. after adding the contribution from element (2) into the matrix which resulted by considering element (1) alone), and then proceed to give the complete/final stiffness matrix. (e) Recall that once the global system of equations is formed, we may partition it such
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Unformatted text preview: that s fs f f ff U K P U K − = . Here, f P is a vector which contains the applied forces, and f U contains corresponding displacements (viz. the "free degrees of freedom"), while s U contains specified/prescribed displacements and s P contains associated forces (viz. the reactions). For the problem under consideration, state explicitly all of the vectors and sub-matrices which appear in these relations. (f) Solve f U and s P . (g) Show that (with the reactions s P which you determined above) the structure is in fact in equilibrium. (h) Determine the internal force acting in each bar...
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