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Building Design and Construction Handbook - Merritt - Ventech!

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CONCRETE CONSTRUCTION 9.109<br />

2P u<br />

qs � (9.88)<br />

1.5B(L � 2e )<br />

Reinforcement for Bearing. The bearing stress on the interface between a column<br />

<strong>and</strong> a spread footing, pile cap, or drilled pier should not exceed the allowable stress<br />

ƒ b given by Eq. (9.89), unless vertical reinforcement is provided for the excess.<br />

FIGURE 9.43 Bearing stresses on column <strong>and</strong> pressure<br />

against bottom of footing.<br />

x<br />

A2 A2<br />

ƒb � 0.85�ƒ� c�A<br />

; � 4 (9.89)<br />

A<br />

1 1<br />

where � � strength-reduction factor � 0.70<br />

ƒ�c � specified concrete compressive strength<br />

A1 � loaded area of the column or base plate<br />

A2 � supporting area of footing, pile cap, or drilled pier that is the lower<br />

base of the largest frustrum of a right pyramid or cone contained<br />

wholly within the footing, with A1 the upper face, <strong>and</strong> with side slopes<br />

not exceeding 2 horizontal to 1 vertical (Fig. 9.43).<br />

If the bearing stress on the loaded area exceeds ƒb, reinforcement must be provided<br />

by extending the longitudinal column bars into the spread footing, pile cap, or<br />

drilled pier or by dowels. If so, the column bars or dowels required must have a<br />

minimum area of 0.005 times the loaded area of the column.<br />

Provisions in the ACI 318 <strong>Building</strong> Code assure that every column will have a<br />

minimum tensile capacity. Compression lap splices, which are permitted when the<br />

column bars are always in compression for all loading conditions, are considered<br />

to have sufficient tensile capacity so that no special requirements are needed. Similarly,<br />

the required dowel embedment in the footing for full compression development<br />

will provide a minimum tensile capacity.<br />

Required compression-dowel embedment length cannot be reduced by end<br />

hooks. Compression dowels can be smaller than column reinforcement. They cannot<br />

be larger than No. 11 bars.<br />

If the bearing stress on the loaded area of a column does not exceed ,<br />

0.85�ƒ� c<br />

column compression bars or dowels do not need to be extended into the footing,<br />

pile cap, or pier, if they can be developed within 3 times the column dimension<br />

(pedestal height) above the footing (Art. 9.49.8). It is desirable, however, that a<br />

minimum of one No. 5 dowel be provided in each corner of a column.

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