The researchs about theory and applications of the geomatrio non-near anaysis are not complete yet. The object of this study is to veriy the energy conjugation of various stresses and strains. Then the derivation is appllied to the nonlinear analysis of the truss. The secant stiffness matrix and the tangent stiffness matrix were derived. It is necessary for the numerical analysis to use the computer program. There fore the theory is as important as the application for this purpose. Examples were shown ot prove that the theories and the ways to use are correct. This study can offer helping the ressarchers who wish to study this field in the future.
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