Question
The nodal coordinates for nodes 1-3 of a triangular plate element, such as that shown in the figure below, are (0,0), (5,3), and (4,6)
The nodal coordinates for nodes 1-3 of a triangular plate element, such as that shown in the figure below, are (0,0), (5,3), and (4,6) in mm. Displacement components at a point (x, y) within the element can be written using linear interpolation as: u = a + ax + azy, The displacement components (u, v) (u, ), (, ), and (u3, 3) (in the table below). y v=b + b x + b3y Determine the displacement components (in mm) at a point P with coordinates Xp yp = 3 mm. P at the nodes (1-3) are given as 3 2 = 3 mm, Figure: Triangular plate element with node 1 at the origin, and an interior point, P (not to scale).
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A First Course in the Finite Element Method
Authors: Daryl L. Logan
6th edition
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