The nodal coordinates for nodes 1-3 of a triangular plate element, such as that shown in...

 

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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 = a₁ + a₂x + azy, The displacement components (u, v) (u₁, ₁), (₂, ₂), and (u3, 3) (in the table below). y v=b₁ + b₂ 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). 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 = a₁ + a₂x + azy, The displacement components (u, v) (u₁, ₁), (₂, ₂), and (u3, 3) (in the table below). y v=b₁ + b₂ 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).