prob_03_06_04 - Problem 3.6-4 Element j is a Q4 element...

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Problem 3.6-4 Element j is a Q4 element that is to be attachted to structure nodes 19,20,30, and 31. What i the numerical contribution of element j to the single coefficient of [K] at the intersection of a) row 48 and column 39 b) row 37 and column 37 c) row 59 and column 61 Solution: a1 = b1 = The Global Displacement Vector is: Du 1 v 1 u 2 v 2 u 3 v 3 .... () T = The position in the array is: ( 1, 2, 3, 4, 5, 6, . .. ) Note that (node #)*2 give the poisition of the v component node 3 3*2 = 6 (node #)*2 -1 gives the position of the u component node 3 3*2-1 = 5 Element Node Numbering u 1 v 1 u 2 v 2 u 3 v 3 u 4 v 4 Global Node Numbering u 19 v 19 u 30 v 30 u 31 v 31 u 20 v 20 Position in Structure Displacement array {D} 37 38 59 60 61 62 39 40 Corresponding columns in [B] B 1 4a b 1y 0 1x 0 0 + 0 + + 0 + 0 + + + 0 0 + = Modulus Matrix with ν =0 EE 1 0 0 0 1 0 0 0 1 2 = We need to form B T E B EB E 4 0 2 0 2 0 + 2 0 + 2 + 0 + 2 0 + +
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This note was uploaded on 01/11/2011 for the course MAE 5020 taught by Professor Folkman during the Fall '10 term at Utah State University.

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prob_03_06_04 - Problem 3.6-4 Element j is a Q4 element...

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