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Prof. Suvranu De Linear shape functions in 1D Quadratic ...

N N (x) N (x) Vector of nodal displacements ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ = 2x 1x d d d (1) NOTES: PROPERTIES OF THE SHAPE FUNCTIONS 1. Kronecker delta property: The shape function at any node has a value of 1 at that node and a value of zero at ALL other nodes. x1 x2 x El #1 2 1 2 1 x x - x N (x) − = 2 1 1 2 x x - x N (x) − = 1 1 0 x x x -x and ...

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