Langford Analytic · Knowledge Base

Seismic Load Notation

Common notation used in seismic load definitions: E, Eh, Ev, QE, load combinations and direction subscripts.

Seismic3 min read
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Common notation

SymbolMeaningNotes
ETotal seismic load effectCombined horizontal and vertical effects
EhHorizontal seismic load effectFrom horizontal ground motion
EvVertical seismic load effectFrom vertical ground motion
QEEffect of horizontal seismic forceUsed in some standards for the horizontal component
DDead loadPermanent loads including self-weight
LLive loadVariable loads
RxResponse in X-directionAfter modal combination within X
RyResponse in Y-directionAfter modal combination within Y
RzResponse in Z-directionAfter modal combination within Z (vertical)
SaSpectral accelerationAt a given frequency and damping
ZPAZero-period accelerationPeak ground acceleration; rigid plateau

Load combinations

Seismic loads are combined with other loads using load combinations specified by the applicable standard. A typical combination for strength design is: 1.2D + 1.0L + 1.0E, where E = Eh + Ev (or E = Eh +/- Ev depending on the direction of vertical acceleration). The load factors and combination expressions vary by standard and must be confirmed against the current edition.

Notes

  • Notation varies between standards — always confirm the meaning of symbols in the context of the specific standard being used
  • Some standards use E for the total effect and separate Eh and Ev; others combine them differently
  • The vertical seismic effect Ev may be additive or subtractive depending on whether it increases or decreases the total load
  • Load combinations for allowable stress design differ from those for strength design