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DESIGN SPECIFICATIONS FOR HIGHWAY BRIDGES - IISEE

DESIGN SPECIFICATIONS FOR HIGHWAY BRIDGES - IISEE

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6.4.6 Performance Verification for Reinforced Concrete Columns<br />

(1) Verification of Seismic Performance Level 2<br />

Reinforced Concrete single column piers and Reinforced Concrete single-story<br />

rigid-frame piers shall be verified according to Equations (6.4.6) and (6.4.7).<br />

k hc W ≦Pa ・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・ (6.4.6)<br />

δR ≦δR a ・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・ (6.4.7)<br />

where<br />

khc :Design horizontal seismic coefficient for Level 2 Earthquake Ground Motion<br />

specified in Section 6.4.3<br />

W : Equivalent weight (N) in the ductility design method obtained by Equation<br />

(6.4.8)<br />

W =WU + cpWp ・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・ (6.4.8)<br />

cp : Equivalent weight (N) coefficient determined from Table 6.4.3<br />

WU : Weight of the superstructural part supported by the pier concerned (N)<br />

WP : Weight of the pier (N)<br />

Pa : Lateral strength of an Reinforced Concrete Columns, calculated from Section<br />

10.2 (N)<br />

δR : Residual displacement (mm) of a pier, obtained by Equation (6.4.9)<br />

δR = cR (μr – 1 ) (1 – r )δy ・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・ (6.4.9)<br />

cR : Modification factor on residual displacement, a factor of 0.6 shall be taken for<br />

Reinforced Concrete Columns.<br />

r : Ratio of the secondary post-yielding stiffness to the yielding stiffness of a pier, a<br />

ratio of 0 shall be taken for Reinforced Concrete Columns<br />

δy : Yield displacement (mm) of piers, calculated by Section 10.3 for Reinforced<br />

Concrete Columns<br />

μr : Maximum response ductility ratio of piers, obtained by Equation (6.4.10)<br />

2<br />

1 <br />

<br />

c<br />

<br />

<br />

zk<br />

hcoW<br />

<br />

r=<br />

<br />

<br />

1<br />

・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・・ (6.4.10)<br />

2 Pa<br />

<br />

khc0: Standard value of the design horizontal seismic coefficient for Level 2<br />

Earthquake Ground Motion, specified in Section 6.4.3<br />

cz : Modification factor for zones specified in Section 4.4<br />

δRa : Allowable residual displacement (mm) of piers. δR shall be 1/100 times the<br />

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