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Seismic Design Category: <br />Category(for SDS) =D CBC 2022 Table 1613.3.5(1), page 37 <br />Category(for SD1) =D CBC 2022 Table 1613.3.5(2), page 37 <br />Use Category =D Most critical of either category case above controls <br />Fundamental Period: <br />Period Coefficient, CT =0.020 ASCE 7-16 Table 12.8-2, page 90 <br />Period Exponent, x =0.75 ASCE 7-16 Table 12.8-2, page 90 <br />Approx. Period, Ta =0.095 sec., Ta = CT*hn^(x), ASCE 7-16 Section 12.8.2.1, Eqn. 12.8-7 <br />Upper Limit Coef., Cu =1.400 ASCE 7-16 Table 12.8-1, page 90 <br />Period max., T(max) =0.133 sec., T(max) = Cu*Ta, ASCE 7-16 Section 12.8-2, page 129 <br />Fundamental Period, T =0.095 sec., T = Ta <= Cu*Ta, ASCE 7-16 Section 12.8.2, page 129 <br />Seismic Design Coefficients and Factors: <br />Response Mod. Coef., R =6.5 ASCE 7-16 Table 12.2-1, pages 120-122 <br />Overstrength Factor, Wo =3 ASCE 7-16 Table 12.2-1, pages 120-122 <br />Defl. Amplif. Factor, Cd =4 ASCE 7-16 Table 12.2-1, pages 120-122 <br />CS =0.159 CS = SDS/(R/I), ASCE 7-16 Section 12.8.1.1, Eqn. 12.8-2 <br />CS(max) =0.917 For T<=TL, CS(max) = SD1/(T*(R/I)), ASCE 7-16 Eqn. 12.8-3 <br />CS(min) =0.046 CS(min) = 0.044*SDS*I >= 0.01, ASCE 7-16 Eqn. 12.8-5 (Suppl. 2) <br />Use: CS =0.159 CS(min) <= CS <= CS(max) <br />0.7CS =0.111 <br />Seismic Base Shear: <br />V =5.66 kips, V = CS*W, ASCE 7-16 Section 12.8.1, Eqn. 12.8-1 <br />Use 0.7 V = 3.97 kips <br />Seismic Shear Vertical Distribution: <br />Distribution Exponent, k =1.00 k = 1 for T<=0.5 sec., k = 2 for T>=0.5 sec. <br />k = (2-1)*(T-0.5)/(2.5-0.5)+1, for 0.5 sec. < k < 2.5 sec. <br />Lateral Force at Any Level: Fx = Cvx*V, ASCE 7-16 Section 12.8.3, Eqn. 12.8-11, page 130 <br />Vertical Distribution Factor: Cvx = Wx*hx^k/(SWi*hi^k), ASCE 7-16 Eqn. 12.8-12, page 130 <br />Seismic Weight, Wx hx^k W x*h^k Cvx Shear, Fx S Story <br />Level x (kips)(ft.) (ft-kips)(%) (kips)Shears <br />1 35.60 14.300 509.0 1.000 3.97 3.97 <br />S =35.60 509.0 1.000 3.97 <br />Comments: