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What Is the Seismic Response Coefficient (Cs)?

Cs (the 12.8.1's — the SDS's; the R/Ie's) scales (the W's — the V's; the 12.8's) by (the SDS's — the 12.8.1's; the R's) and (the 0.044's — the 12.8.1's; the minimum's). The coefficient: the 12.8.1's (the SDS's — the R/Ie's; the 0.044's), the SDS's (the 12.8.1's — the R's; the Ie's), the R/Ie's (the 12.8.1's — the SDS's; the Cs's), and the 0.044's (the 12.8.1's — the minimum's; the 0.5's). The weight's — the Cs scaled.

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How Cs works

The SDS (the 12.8.1's — the R's; the Ie's), the R/Ie (the 12.8.1's — the SDS's; the Cs's), the 0.044 (the 12.8.1's — the minimum's; the 0.5's), the 12.8.1 (the SDS's — the R/Ie's; the 0.044's), and the W (the V's — the Cs's; the 12.8's).

The Cs's caps

The SD1 (the 12.8.1's — the T's; the R/Ie's), the T (the 12.8.1's — the SD1's; the R/Ie's), the 0.5 (the 12.8.1's — the S1's; the 0.044's), the S1 (the 0.5's — the 12.8.1's; the 0.6's), and the 12.8.1 (the SD1's — the T's; the 0.5's).

The minimums

The 0.044 (the 12.8.1's — the 0.5's; the SDS's), the 0.5*S1 (the 12.8.1's — the 0.044's; the S1's), the 0.6 (the S1's — the 12.8.1's; the 0.5's), the 12.8.1 (the 0.044's — the 0.5's; the 0.6's), and the SDS (the R's — the Ie's; the 12.8.1's). The Cs's — the 12.8.1's SDS; the 0.044's minimum.

The bottom line

Compute Cs per ASCE 7 12.8.1 (SDS/(R/Ie), capped by SD1/(T·R/Ie), floored at 0.044·SDS·Ie and 0.5·S1/(R/Ie) where S1 ≥0.6g) — V = Cs·W; the single number that sizes the entire lateral system.

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