The thick plate element of Mindlin type combined with the plane stress element is adopted in the direct analysis method. The numerical process is pretty efficient with respect to the speed of the calculation of final steady state residual quantities resulted in by cyclic loads. Two pipes joined together with a concentric reducer are employed as an example. The steady state residual stresses and strains after pipes experience cyclic anti-symmetric deflections, simulating the seismic loads, are illustrated. The diameter, the length of the pipes, and properties of material are the parameters evaluated in the present study. Results indicate that shorter pipe has higher shear effect at the fixed end. The ratio of pipe diameter to pipe length does not significantly differ the residual profile while the existence of a concentric reducer disturbs the distribution of the residual stresses and residual plastic strains dramatically.

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