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Building Design and Construction Handbook - Merritt - Ventech!

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CONCRETE CONSTRUCTION 9.137<br />

requirements. The tendons may be placed in the inclined plates or, more conveniently,<br />

in small thickened edge beams. For cast-in-place, folded-plate construction,<br />

double forming can usually be avoided if the slopes are less than 35 to 40�.<br />

Since larger transverse bending moments develop in folded plates than in cylindrical<br />

shells of about the same proportions, a minimum thickness less than 4 in<br />

creates practical problems of placing the reinforcing steel. A number of area in the<br />

plates will require three layers of reinforcing steel <strong>and</strong>, near the intersections of<br />

plates, top <strong>and</strong> bottom bars for transverse bending will be required. Ratios of span<br />

to total depth are similar to those for cylindrical shells, commonly ranging from 8<br />

to 15. (See also F. S. <strong>Merritt</strong>, ‘‘St<strong>and</strong>ard H<strong>and</strong>book for Civil Engineers,’’ Sec. 8,<br />

‘‘Concrete <strong>Design</strong> <strong>and</strong> <strong>Construction</strong>,’’ McGraw-Hill Publishing Company, New<br />

York.)<br />

9.93 SLABS ON GRADE<br />

Slabs on ground are often used as floors in buildings. Special use requirements<br />

often include heavy-duty floor finish (Art. 9.35) <strong>and</strong> live-load capacity for heavy<br />

concentrated (wheel) load or uniform (storage) loads, or both.<br />

Although slabs on grade seem to be simple structural elements, analysis is extremely<br />

complicated. For design load requirements that are unusually heavy <strong>and</strong><br />

outside common experience, design aids are available. Occasionally, the design will<br />

be controlled by wheel loads only, as for floors in hangars, but more frequently by<br />

uniform warehouse loadings. (‘‘<strong>Design</strong> of Slabs on Grade,’’ ACI 360R; American<br />

Concrete Institute; ‘‘Concrete Floors on Ground,’’ EB075D, Portl<strong>and</strong> Cement Association;<br />

‘‘<strong>Design</strong> of Floors on Ground for Warehouse Loadings,’’ Paul F. Rice,<br />

ACI Journal, August 1957, paper No. 54-7.)<br />

A full uniform load over an entire area causes no bending moment if the boundaries<br />

of the area are simple construction joints. But actual loads in warehouse usage<br />

leave unloaded aisles <strong>and</strong> often alternate panels unloaded. As a result, a common<br />

failure of warehouse floors results from uplift of the slab off the subgrade, causing<br />

negative moment (top) cracking. In lieu of a precise analysis taking into account<br />

live-load magnitude, joint interval <strong>and</strong> detail, the concrete modulus of elasticity, the<br />

soil modulus, <strong>and</strong> load patterns, a quick solution to avoid uplift is to provide a slab<br />

sufficiently thick so that its weight is greater than one-fifth the live load. Such a<br />

slab may be unreinforced, if properly jointed, or reinforced for temperature <strong>and</strong><br />

shrinkage stresses only. Alternatively, for very heavy loadings, an analysis <strong>and</strong><br />

design may be performed for the use of reinforcement, top <strong>and</strong> bottom, to control<br />

uplift moments <strong>and</strong> cracking. (‘‘<strong>Design</strong> of Floors on Ground for Warehouse Loadings,’’<br />

Paul F. Rice, ACI Journal, Aug., 1957, paper No. 53-7.)<br />

Shrinkage <strong>and</strong> temperature change in slabs on ground can combine effects adversely<br />

to create warping, uplift, <strong>and</strong> top crackling failures with no load. Closely<br />

spaced joint intervals, alternate-panel casting sequence, <strong>and</strong> controlled curing will<br />

avoid these failures. Somewhat longer joint spacings can be specified if reinforcement<br />

with an area of about 0.002 times the gross section area of slab is provided<br />

in perpendicular directions.<br />

With such reinforcement, warping will usually be negligible if the slab is cast<br />

in alternate lanes 12 to 14 ft wide, <strong>and</strong> provided with contraction joints at 20- to<br />

30-ft spacings in the direction of casting. The joints may be tooled, formed by joint<br />

filler inserts, or sawed. One-half the bars or wires crossing the contraction joints

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