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The elastic deformations calculated under reduced forces (see Section C12.8.6) are multiplied by the deflection amplification factor, Cd, to estimate the deformations likely to result from the design earthquake ground motionSYMBOLS
Cd = Deflection amplification factor
R = Response modification coefficient
Ie = Importance factor
δxe = Deflection
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Deflection Amplification Factor, Cd, is defined in Table 12.2-1.
The application of the factor R/Ie to the design response spectrum reduces not only design forces but also displacements. To compensate for this, ASCE 7 requires that the deflections at level x at the center of mass, δx, be determined in accordance with where Cd is from Table 12.2-1, Ie is from Table 11.5-1, and δxe is the deflection determined by elastic analysis with seismic forces reduced by factor R/Ie. Using a value Cd equal to R would result in the displacement δx being equal to δxe, which would be consistent with the equal displacement rule.
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Structural System Type | Response Modification Coefficient, R | Overstrengh Factor, Ωo | Deflection Amplification Factor, Cd | Structural System Limitations Including Structural Height, hn (ft) Limits | ||||
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Seismic Design Category | ||||||||
B | C | D | E | F | ||||
A. Bearing Wall Systems | ||||||||
A1 - Special reinforced concrete shear walls | 5 | 21/2 | 5 | NL | NL | 160 | 160 | 100 |
A2 - Ordinary reinforced concrete shear walls | 4 | 21/2 | 4 | NL | NL | NP | NP | NP |
A3 - Detailed plain concrete shear walls | 2 | 21/2 | 2 | NL | NP | NP | NP | NP |
A4 - Ordinary plain concrete shear walls | 11/2 | 21/2 | 11/2 | NL | NP | NP | NP | NP |
B. Building Frame Systems | ||||||||
B1 - Steel eccentrically braced frames | 8 | 2 | 4 | NL | NL | 160 | 160 | 100 |
B2 - Steel special concentrically braced frames | 6 | 2 | 5 | NL | NL | 160 | 160 | 100 |
B3 - Steel ordinary concentrically braced frames | 31/4 | 2 | 31/4 | NL | NL | 35 | 35 | NP |
B4 - Special reinforced concrete shear walls | 6 | 21/2 | 5 | NL | NL | 160 | 160 | 100 |
B5 - Ordinary reinforced concrete shear walls | 5 | 21/2 | 41/2 | NL | NL | NP | NP | NP |
B6 - Detailed plain concrete shear walls | 2 | 21/2 | 2 | NL | NP | NP | NP | NP |
B7 - Ordinary plain concrete shear walls | 11/2 | 21/2 | 11/2 | NL | NP | NP | NP | NP |
C. Moment-Resisting Frame Systems | ||||||||
C1 - Steel special moment frames | 8 | 3 | 51/2 | NL | NL | NL | NL | NL |
C2 - Steel special truss moment frames | 7 | 3 | 51/2 | NL | NL | 160 | 100 | NP |
C3 - Steel intermediate moment frames | 41/2 | 3 | 4 | NL | NL | 35 | NP | NP |
C4 - Steel ordinary moment frames | 31/2 | 3 | 3 | NL | NL | NP | NP | NP |
C5 - Special reinforced concrete moment frames | 8 | 3 | 51/2 | NL | NL | NL | NL | NL |
C6 - Intermediate reinforced concrete moment frames | 5 | 3 | 41/2 | NL | NL | NP | NP | NP |
C7 - Ordinary reinforced concrete moment frames | 3 | 3 | 21/2 | NL | NP | NP | NP | NP |
D. Dual Systems with Special Moment Frames Capable of Resisting at Least 25% of Prescribed Seismic Foces | ||||||||
D1 - Steel eccentrically braced frames | 8 | 21/2 | 4 | NL | NL | NL | NL | NL |
D2 - Steel special concentrically braced frames | 7 | 21/2 | 51/2 | NL | NL | NL | NL | NL |
D3 - Special reinforced concrete shear walls | 7 | 21/2 | 51/2 | NL | NL | NL | NL | NL |
D4 - Ordinary reinforced concrete shear walls | 6 | 21/2 | 5 | NL | NL | NP | NP | NP |
E. Dual Systems with Intermediate Moment Frames Capable of Resisting at Least 25% of Prescribed Seismic Foces | ||||||||
E1 - Steel special concentrically braced frames | 6 | 21/2 | 5 | NL | NL | 35 | NP | NP |
E2 - Special reinforced concrete shear walls | 61/2 | 21/2 | 5 | NL | NL | 160 | 100 | 100 |
E8 - Ordinary reinforced concrete shear walls | 51/2 | 21/2 | 41/2 | NL | NL | NP | NP | NP |
F. Shear Wall-Frame Interactive System with Ordinary Reinforced Concrete Moment Frames And Ordinary Reinforced Concrete Shear Walls | ||||||||
F1 - Shear wall-frame interactive system | 41/2 | 21/2 | 4 | NL | NP | NP | NP | NP |
G. Cantilevered Column Systems Detailed to Conform to the Requirement for | ||||||||
G1 - Steel special cantilever column systems | 21/2 | 11/4 | 21/2 | 35 | 35 | 35 | 35 | 35 |
G2 - Steel ordinary cantilever column systems | 11/4 | 11/4 | 11/4 | 35 | 35 | NP | NP | NP |
G3 - Special reinforced concrete moment frames | 21/2 | 11/4 | 21/2 | 35 | 35 | 35 | 35 | 35 |
G4 - Intermediate reinforced concrete moment frames | 11/2 | 11/4 | 11/2 | 35 | 35 | NP | NP | NP |
G5 - Ordinary reinforced concrete moment frames | 1 | 11/4 | 1 | 35 | NP | NP | NP | NP |
H. Steel Systems not Specifically Detailed for Seismic Resistance, Excluding Cantilever Column Systems | ||||||||
H - Steel Systems not Specifically Detailed for Seismic Resistance | 3 | 3 | 3 | NL | NL | NP | NP | NP |
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