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prob_06_02_06

# prob_06_02_06 - Problem 6.2-6 Consider the elements that...

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Problem 6.2-6 Consider the elements that are square and two units on a side. Node numberins shown for two such elements create difficulties. For each, determine [J] and J, using the shape function of Eq. 6.2-3. What do the node numbers shown imply about the ξη axes of the first element and the shape of the second? Solution: From Eq. 6.2-6 J J 11 J 21 J 12 J 22 = 1 4 1 η ( ) 1 ξ ( ) 1 η ( ) 1 ξ + ( ) 1 η + ( ) 1 ξ + ( ) 1 η + ( ) 1 ξ ( ) x 1 x 2 x 3 x 4 y 1 y 2 y 3 y 4 = For the left element 1 4 1 η ( ) 1 ξ ( ) 1 η ( ) 1 ξ + ( ) 1 η + ( ) 1 ξ + ( ) 1 η + ( ) 1 ξ ( ) 1 1 1 1 1 1 1 1 0 1 1 0 1 2 3 4 η ξ The determinate of [J] is:
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