Example $5-$ Base Isolation System

Using the Elastic Design Acceleration Spectrum given in TBDY$2018($Turkey Building

Earthquake Code$),($Ss$=1\mathrm{.}0,S1=0\mathrm{.}3,$ and for local soil class $ZC,Sds=1\mathrm{.}2,Sd1=0\mathrm{.}45).$

a$)$ Compute the elastic base shear force and displacement for the fixed$-$base shear frame

structure $($A$)$

b$)$ Select the period of the base isolation system $($B$)$ to reduce the shear force to $\frac{1}{10}$ of

the fixed$-$base case. Compute the displacements of the isolation system and

displacement of the super structure $($B$).$

c$)$ Adding a damper system to the base isolated structure $($C$)$ with damping $\%30,$ calculate

the shear force and displacement $.$

$m=10$ ton, $E=3\mathrm{.}0e7k\frac{N}{m^2},H=3m,$ Columns: $50cm30cm$ and $40cm30cm$

Note: Ignore the mass of base isolation system

$=\sqrt[\phantom{2}]{\frac{10}{5+}}$