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Building Design and Construction Handbook - Merritt - Ventech!

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CONCRETE CONSTRUCTION 9.81<br />

Minimum Reinforcement. For ƒ�c not greater than 4400 psi, reinforcement (both<br />

positive <strong>and</strong> negative) with a yield strength ƒy should have an area equal to or<br />

greater than 200/ƒ y times the concrete area of the rib bwd, where bw is the rib width<br />

<strong>and</strong> d � rib depth. For exceeding 4400 psi, the area of reinforcement should be<br />

ƒ� c<br />

y<br />

at least equal to 3�ƒ�b d/ƒ . Less reinforcement can be used, however, if the areas<br />

c w<br />

of both the positive <strong>and</strong> negative reinforcement at every section are one-third greater<br />

than the amount required by analysis. (See also Art. 9.55.)<br />

Maximum Reinforcement. Positive- <strong>and</strong> negative-moment reinforcement ratios<br />

must not be greater than three-quarters of the ratio that produces balanced conditions<br />

(Art. 9.46). The positive-moment reinforcement ratio is based on the width<br />

of the top flange, <strong>and</strong> the negative-moment reinforcement ratio is based on the<br />

width of the rib b w.<br />

Reinforcement for one-way concrete-joist construction consists of straight top<br />

<strong>and</strong> bottom bars, cut off as required for moment.<br />

For top-slab reinforcement, straight top- <strong>and</strong> bottom-bar arrangements provide<br />

more flexibility in attaining uniform distribution of top bars to control cracking in<br />

the slab than straight <strong>and</strong> bent bars.<br />

Requirements for structural integrity included in the ACI 318 <strong>Building</strong> Code<br />

affect detailing of the bottom bars in the ribs. Over supports, at least one bottom<br />

bar should be continuous or lap spliced to a bottom bar in the adjacent span with<br />

a Class A tension lap splice (Art. 9.49.7). At exterior supports, one bottom bar<br />

should be terminated with a st<strong>and</strong>ard hook.<br />

For development (bond) of reinforcement, see Art. 9.49.<br />

Figure 9.24b shows rebar quantities, lb/ft 2 of floor or roof area, for continuous<br />

interior spans of one-way concrete-joist construction made with normal-weight concrete<br />

for superimposed factored live load of 170 psf, for preliminary estimates.<br />

9.57 SHEAR IN JOISTS<br />

The factored shear force V u at a section without shear reinforcement should not<br />

exceed<br />

V � �V � �(2.2�ƒ�b d) (9.70)<br />

u c c w<br />

where V c � nominal shear strength of the concrete<br />

� � strength-reduction factor (Art. 9.44) � 0.85<br />

d � distance, in from extreme compression surface to centroid of tension<br />

steel<br />

b w � rib width, in.<br />

Based on satisfactory performance of joist construction, the ACI 318 <strong>Building</strong> Code<br />

allows the nominal shear strength V c for concrete in joists to be taken 10% greater<br />

than for beams or slabs. The width b w can be taken as the average of the width of<br />

joist at the compression face <strong>and</strong> the width at the tension reinforcement. The slope<br />

of the vertical taper of ribs formed with removable steel pans can safely be assumed<br />

as 1 in 12. For permanent concrete block fillers, the shell of the block can be<br />

included as part of b w, if the compressive strength of the masonry is equal to or<br />

greater than that of the concrete.

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