2-5 - 90 Finite Element Analysis and Design 5. Determine...

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90 Finite Element Analysis and Design 5. Determine the nodal displacements and reaction forces using the direct stiffness method. Calculate the nodal displacements and element forces using the finite element program. Solution: Elements and nodes are denoted as E and N , respectively, as follows From the above numbering scheme, the connectivity table is Element Local node #1 Local node #2 1 1 2 2 2 3 The element matrix equation for each element can be written as Element (1) : (1) 1 1 1 1 1 1 2 2 k k u f k k u f         Element (2) : (2) 2 2 2 2 (3) 2 2 3 3 k k u f k k u f     Assembling the above two element stiffness matrices using the equilibrium at each node, the global stiffness matrix can be obtained as 1 1 1 1 1 1 2 2 2 2 2 3 3 0 0 0 k k u F k k k k u k k u R  
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This note was uploaded on 08/22/2011 for the course EML 4500 taught by Professor Staff during the Fall '08 term at University of Florida.

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2-5 - 90 Finite Element Analysis and Design 5. Determine...

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