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Building Design and Construction Handbook - Merritt - Ventech!

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STRUCTURAL THEORY 5.179<br />

• 1.0 for the top 10 stories,<br />

• 0.8 for the 20th story from the top <strong>and</strong> below, <strong>and</strong><br />

• value between 1.0 <strong>and</strong> 0.8 determined by a straight line interpolation for stories<br />

between the 20th <strong>and</strong> 10th stories below the top.<br />

Story Drift Determination. The design story drift � shall be computed as the<br />

difference of the deflections at the center of mass at the top <strong>and</strong> bottom of the story<br />

under consideration. Where allowable stress design is used. � shall be computed<br />

using earthquake forces without dividing by 1.4. For structures assigned to Seismic<br />

<strong>Design</strong> Category C, D, E, or F having plan irregularity types 1a or 1b of Table<br />

5.12, the design story drift � shall be computed as the largest difference of the<br />

deflections along any of the edges of the structure at the top <strong>and</strong> bottom of the<br />

story under consideration.<br />

The deflections of level x, � x, shall be determined in accordance with following<br />

formula:<br />

C �<br />

d xe<br />

�x � (5.324)<br />

I<br />

where C d � the deflection amplification factor in Table 5.9,<br />

� xe � the deflections determined by an elastic analysis of the seismic force<br />

resisting system, <strong>and</strong><br />

I � the Occupancy Importance Factor<br />

For purposes of this drift analysis only, the upper bound limitation specified on<br />

the computed fundamental period, T, in seconds, of the building, shall not apply.<br />

The design story drift � shall be increased by the incremental factor relating to<br />

the P-delta effects. When calculating drift, the redundancy coefficient � shall be<br />

taken as 1.0.<br />

P-Delta Effects. P-delta effects on story shears <strong>and</strong> moments the resulting member<br />

forces <strong>and</strong> moments, <strong>and</strong> the story drifts induced by these effects are not required<br />

to be considered when the stability coefficient �, as determined by the following<br />

formula, is equal to or less than 0.10:<br />

P �<br />

x<br />

� � (5.325)<br />

Vh C<br />

x sx d<br />

where P x � the total unfactored vertical design load at <strong>and</strong> above level x; when<br />

calculating the vertical design load for purposes of determining Pdelta,<br />

the individual load factors need not exceed 1,0;<br />

� � the design story drift occurring simultaneously within V x;<br />

V x � the seismic shear force acting between level x <strong>and</strong> x � 1;<br />

h sx � the story height below level x; <strong>and</strong><br />

C d � the deflection amplification factor in Table 5.9<br />

The stability coefficient � shall not exceed � max determined as follows:<br />

0.5<br />

� � � 0.25 (5.326)<br />

max<br />

�C d<br />

where � is the ratio of shear dem<strong>and</strong> to shear capacity for the story between level<br />

x <strong>and</strong> x � 1. Where the ratio � is not calculated, a value of � � 1.0 shall be used.

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