This research considers longitudinal shrinkage of two steel plates with identical thickness joined through butt welding and one steel plate with bead welding. This study begins with introduction of a model in which the thermoelastoplastic zone near to the weld line is simulated with a thermoelastoplastic flat bar; and the area beyond the weld line is simulated with ideally elastic springs. The related equations are solved and eventually the relationship is obtained that can be used for calculating the amount of longitudinal shrinkage with acceptable accuracy.
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