Two plane4- node incompatible elements which can possess explicit element stiffness matrix are constructed as the examples.
The soil reaction matrix is added to beam element stiffness matrix, and modified beam element stiffness matrix is formed.
The element stiffness matrix and the equivalent nodalloads are derived, and the formulas for calculating internal forces and disp-lacements under three typical loads are given.
Since the transform relation between area coordinates and Cartesian coordinates is linear, the formulation of the element stiffness matrix is rather simple.
A formula based on the interpolation for the rank of the element stiffness matrix is presented, and some reduced integration elements are examined.
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