# Application of Deflection Amplification Factor per ASCE 7-16 §11.2.1

SYMBOLS

Cd = Deflection amplification factor
R = Response modification coefficient
Ie = Importance factor
δxe = Deflection

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 and δxe. 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.

Structural System Type

Response Modification Coefficient, R

Overstrengh Factor, Ωo

Deflection Amplification Factor, Cd

Structural System Limitations Including Structural Height, hn (ft) Limits

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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