Evaluate the Jacobian matrix for the four-node element shown in... | Filo
Evaluate the Jacobian matrix for the four-node element shown in... | Filo
5 months ago
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Consider the two noded one dimensional isoparametric element sh... | Filo
Consider the two noded one dimensional isoparametric elemen…
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SOLVED: (10 marks)A 4-noded quadrilateral element is shown in Figure 1. The unit of the coordinates X and y is in mm. Determine the Jacobian matrix [J] for the element:4 (-1, 4)3 (4, 1)1 (-2, -1)2 (1, -1)Note: The shape functions for a 4-noded quadrilateral element in intrinsic coordinates are given by:N1 = (X-1)(4-y)/4, N2 = (1 X)(1-y)/4, N3 = (1 X)(1 y)/4, N4 = (1-X)(1 y)/4The Jacobian matrix [J] is defined as follows:[J] = [dx/dX, dx/dy] [dy/dX, dy/dy]Figure 1
SOLVED: (10 marks)A 4-noded quadrilateral element is shown in …
Oct 6, 2023
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