It is recommended to use Slit dampers to prevent brittle failure in the connections and also to reduce post-earthquake damage. These dampers have their own strips that the strips created energy dissipative and  absorbing and prevent the destruction of the main members of the structure. According to studies on the effect of strips on energy dissipation, the method of placing the strips has investigated in an angle of 45 degrees and in combination of horizontal and vertical. Also, due to the fact that this damper is located in a semi-rigid connection, a dual T-shaped damper is proposed for short-beam to rigid connection. All models were analyzed by Abaqus software under cyclic loading. In the results of the hysteresis diagram, the maximom moment of damper with an angled strip is about 2 times greater than the maximum moment which is proposed by Oh and his colleagues (2009),  and, the maximom moment of damper with the combined strip is about 1.3 times greater, and more energy dissipation observed. Also, in the case of  damper of rigid connection, the energy dissipation was tangible.