Hamed Mousavi - Ph.D., Department of Civil Engineering, Isfahan University of Technology, Isfahan.
Saeed Reza Sabagh Yazdi - Professor, Department of Civil Engineering, K.N.Toosi University of Technology,
Mohammad Almohammad-albakkar - Ph.D. Student, Department of Civil Engineering, Isfahan University of Technology, Isfahan.

The existing design formulas have provided significantly convenient tools to practical engineers in determining the damping coefficients of the supplemental diagonal brace, K brace, upper toggle brace, and lower toggle brace. These formulas take into account the relative vertical and horizontal deformation between the two ends of a viscous damper installed in a frame panel so that the axial deformation of the damper and thus the dissipated energy by the damper can be better captured. In this paper, a mathematical formula is proposed for the internal and external Scissor-Jack brace damper system in structure with the relative vertical and horizontal deformation between the two ends of a viscous damper.

viscous damper, internal Scissor-Jack brace, external Scissor-Jack brace.