prob_03_04_03 - Problem 3.4-3 (a) Two nodes of an isosceles...

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Problem 3.4-3 (a) Two nodes of an isosceles CST element are fixed, as shown. The ν =0, and determine the 2x2 stiffness matrix associated with d.o.f. at the unrestrained node. (b) A plane square region of uniform thickness is divided into eight congruent CST elements, as shown. Load P in the y direction is applied to the node at x = y =0. If ν =0, what is the displacement of load P ? Solution: (a) For a CST element: Bd 1 x 2 0 x 3 x 2 x 2 y 3 0 x 3 x 2 x 2 y 3 1 x 2 1 x 2 0 x 3 x 2 y 3 0 x 3 x 2 y 3 1 x 2 0 0 1 y 3 0 1 y 3 0 u 1 v 1 u 2 v 2 u 3 v 3 = but u 1 v 1 = u 2 = v 2 = 0 = retaining the last to columns and u3 and v3 gives: 0 0 1 a 0 1 a 0 u 3 v 3 = For plane stress and ν =0, the modulus matrix is: E E 1 ν 2 1 ν 0 ν 1 0 0 0 1 ν 2
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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_04_03 - Problem 3.4-3 (a) Two nodes of an isosceles...

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