For the design earthquake at a site, the peak values of ground acceleration, velocity, and displacement have been estimated:   = 0.5g,  = 24 in./sec, and  = 18 in. For systems with a 2% damping ratio...

For the design earthquake at a site, the peak values of ground acceleration, velocity, and displacement have been estimated:
  = 0.5g,
 = 24 in./sec, and
 = 18 in. For systems with a 2% damping ratio and allowable ductility of 3, construct the 84.1th percentile design spectrum. Plot the elastic and inelastic spectra together on (a) four-way log paper, (b) log-log paper showing pseudo-acceleration versus natural vibration period,
, and (c) linear-linear paper showing pseudo-acceleration versus
 from 0 to 5 sec. Determine equations A() for each branch of the inelastic spectrum and the period values at intersections of branches.