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Structural Concrete - Hassoun

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808 Chapter 20 Seismic Design of Reinforced <strong>Concrete</strong> Structures<br />

• The structure shall have at least two lines of lateral resistance in each of two major axis<br />

directions.<br />

1. The seismic base shear, V, in a given direction shall be determined in accordance with<br />

where<br />

V = FS DS<br />

R W (20.19)<br />

S DS = 2 3 F aS s<br />

where F a is permitted to be taken as 1.0 for rock sites, 1.4 for soil sites, or determined in<br />

accordance with Section 20.2.2. For the purpose of this section, sites are permitted to be<br />

considered to be rock if there is no more than 10 ft (3 m) of soil between the rock surface<br />

and the bottom of the spread footing or mat foundation. In calculating S DS , S S shall be in<br />

accordance with Section 20.2.2, but need not be taken larger than 1.5.<br />

F = 1.0 for one-story buildings above grade plane<br />

F = 1.1 for two-story buildings above grade plane<br />

F = 1.2 for three-story buildings above grade plane<br />

R = response modification factor from Table 20.7 (ASCE 7-10, Table 12.2-1)<br />

W = effective seismic weight of structure that shall include total dead and other loads listed in the<br />

following text (ASCE 7-10, Section 12.14.8.1)<br />

(a) In areas used for storage, a minimum of 25% of the floor live load.<br />

Exceptions:<br />

i. Where the inclusion of storage loads adds no more than 5% to the effective seismic<br />

weight at that level, it need not be included in the effective seismic weight.<br />

ii. Floor live load in public garages and open parking structures need not be included.<br />

(b) Where provision for partitions is required by ASCE 7-10, Section 4.3.2 (Provision for<br />

Partitions) in the floor load design, the actual partition weight, or minimum weight of<br />

10 psf (0.48 kN/m 2 ) of floor area, whichever is greater.<br />

(c) Total operating weight of permanent equipment.<br />

(d) Where the flat roof snow load, P f , exceeds 30 psf (1.44 kN/m 2 ), 20% of the uniform<br />

design snow load, regardless of actual roof slope.<br />

2. The lateral seismic forces calculation: Lateral seismic forces can be determined from<br />

(ASCE 7-10, Section 12.14.8.2)<br />

F x = FS DS<br />

R w x (20.20)<br />

where<br />

F x = seismic force applied at level x<br />

w x = portion of effective seismic weight of structure, W, at level x<br />

20.3.4 Summary: Simplified Analysis Procedure<br />

Step 1. Check whether the structure satisfies conditions described in Section 20.3.3 for qualification<br />

for the simplified analysis procedure.<br />

Step 2. Determine the value of S DS as described in Section 20.2.2.<br />

Step 3. Choose appropriate R factor from Table 20.7.<br />

Step 4. Determine the effective seismic weight, W, of the structure as described in Section 20.3.3.

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