Normally, vertical seismic accelerations don't affect the building design but as per Uniform Building Code, it's considered in the design of Cantilever and Post-tensioned elements. Why is that?
All building designs are inherently stronger for vertical excitations, because in that direction they already have to sustain gravity and the seismic excitation will only represent an added percentage with respect to that.
That is not to say that, dealing with a cantilevered element, post-tensioned or not, you can forego the vertical demands, whether they come from earthquakes or from other sources. If the vertical loads exist, the designer must make sure that they can be safely supported.
Vertical acceleration is considered in the seismic design as per the IBC code. I strongly encourage you to switch to the IBC instead of the UBC. Last version of UBC WAS 1997 which is more than 20 years ago. The IBC adds 0.2 Sds times the DLto the deadload to accoujt for vertical accelerations and of the dead load DL is high, then the effect of the vertical acceleration is significant.
vertical forces specially vertical wave as earthquake have important role in gravity acc then it cz of over loading and less loading at structure...
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