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Building Design and Construction Handbook - Merritt - Ventech!

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9.84 SECTION NINE<br />

centerlines divide the slab into square or nearly square panels, but if desired, rectangular,<br />

triangular, or even irregular panels may be used.<br />

9.59 ANALYSIS AND DESIGN OF FLAT PLATES<br />

The flat plate is the simplest form of two-way slab—simplest for analysis, design,<br />

detailing, bar fabrication <strong>and</strong> placing, <strong>and</strong> formwork. A flat plate is defined as a<br />

two-way slab of uniform thickness supported by any combination of columns <strong>and</strong><br />

walls, with or without edge beams, <strong>and</strong> without drop panels, column capitals, <strong>and</strong><br />

brackets.<br />

Shear <strong>and</strong> deflection limit economical flat-plate spans to under about 30 ft for<br />

light loading <strong>and</strong> about 20 to 25 ft for heavy loading. While use of reinforcingsteel<br />

or structural-steel shear heads for resisting shear at columns will extend these<br />

limits somewhat, their main application is to permit use of smaller columns. A<br />

number of other variations, however, can be used to extend economical load <strong>and</strong><br />

span limits (Arts. 9.60 <strong>and</strong> 9.61).<br />

The ACI 318 <strong>Building</strong> Code permits two methods of analysis for two-way construction:<br />

direct design, within limitations of span <strong>and</strong> load, <strong>and</strong> equivalent frame<br />

(Art. 9.42). Limitations on use of direct design are:<br />

A minimum of three spans continuous in each direction<br />

Rectangular panels with a ratio of longer to shorter span, center-to-center of<br />

supports within a panel, not greater than 2<br />

Successive span ratios, center-to-center of supports in each direction, not to<br />

exceed 2:3<br />

Columns offset from centerlines of successive columns not more than 0.10 span<br />

in either direction<br />

Specified ratio of live load to dead load (unfactored) does not exceed 2<br />

All loads are due to gravity only <strong>and</strong> uniformly distributed over the entire panel<br />

9.59.1 <strong>Design</strong> Procedures for Flat Plates<br />

The procedure for either method of design begins with selection of preliminary<br />

dimensions for review, <strong>and</strong> continues with six basic steps.<br />

Step 1. Select a plate thickness expected to be suitable for the given conditions<br />

of load <strong>and</strong> span. This thickness, unless deflection computations justify thinner<br />

plates, should not be less than h determined from Table 9.16. With Grade 60 reinforcement,<br />

minimum thickness is, from Table 9.16, for an interior panel<br />

L n<br />

h � � 5 in (9.71)<br />

33<br />

where L n � clear span in the direction moments are being determined. Also, as<br />

indicated in Table 9.16, for discontinuous panels, the minimum h � L n/30 � 5in<br />

if no edge beam is present.

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