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HW5 - integrations 3 Problem 8.9 page 506 in text Partial...

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MCE 561 Computational Methods in Solid Mechanics Homework Assignment 5 Due March 9, 2011 1. For the differential equation f u = 2 , using the following linear triangular element with the node numbering as shown, determine: a.) the three interpolation functions b.) the element matrices [ K ] and { f } Partial Ans. ... , 8 / 3 , 8 / 5 12 11 = = K K 2. Consider the rectangular element shown in Figure 8.2.12 (in text), for the differential equation f u = 2 . Explicitly verify the first row of the stiffness matrix given by equation (8.2.54). Use the interpolation functions given in terms of local coordinates, equations (8.2.32a), to do the
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Unformatted text preview: integrations. 3. Problem 8.9, page 506 in text. Partial Ans. + • • • − + • • − + • − − + = 2 2 2 2 2 2 2 2 2 2 2 2 2 1 ) ( b a b b a a b a a b b a ab K b ij 4. Problem 8.11, page 507 in text. Only do part (a) and include only the first two rows; i.e. K 1j and K 2j . Partial Ans. . . . , , , ) ( 13 1 14 12 1 11 11 = = = K K K K K a x y (1,1) (3,1) (2,3) 1 2 3...
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