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Building Design and Construction Handbook - Merritt - Ventech!

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CONCRETE CONSTRUCTION 9.119<br />

TABLE 9.23 Allowable Service (Unfactored) Loads on Drilled Piers, kips* (Continued)<br />

Safe allowable service-load bearing pressure on soil, psf<br />

Bell dia, ft Bell area, ft 2 10,000 12,000 15,000 20,000 25,000 30,000<br />

12.5 122.72 1227 1473 1841 2454 3068 3682<br />

13.0 132.73 1327 1593 1991 2655 3318 3982<br />

13.5 143.14 1431 1718 2147 2863 3578 4294<br />

14.0 153.94 1539 1847 2309 3079 3848 4618<br />

14.5 165.13 1651 1982 2477 3303 4128 4954<br />

15.0 176.15 1767 2121 2651 3534 4418 5301<br />

15.5 188.69 1887 2264 2830 3774 4717 5661<br />

16.0 201.06 2011 2413 3016 4021 5027 6032<br />

16.5 213.82 2138 2566 3207 4276 5344 6415<br />

17.0 226.98 2270 2724 3405 4540 5675 6809<br />

17.5 240.53 2405 2886 3608 4811 6013 7216<br />

18.0 254.47 2545 3054 3817 5089 6362 7634<br />

*ƒc1 � 0.33ƒ�c .<br />

NOTE: Bell diameter preferably not to exceed 3 times the shaft diameter. Check shear stress if bell<br />

slope is less than 2:1. (Courtesy Concrete Reinforcing Steel Institute.)<br />

pression times 85% of the compressive strength of the st<strong>and</strong>ard test cylinder.<br />

ƒ� c<br />

The 15% reduction from full strength accounts, in part, for the difference in size<br />

<strong>and</strong>, in part, for the time effect in loading of the column. Capacity of a concentrically<br />

loaded column then is the sum of the loads on the concrete <strong>and</strong> the steel.<br />

The ACI 318 <strong>Building</strong> Code applies a strength-reduction factor � � 0.75 for<br />

members with spiral reinforcement <strong>and</strong> � � 0.70 for other members. For small<br />

axial loads (Pu � 0.10ƒ�A c g,<br />

where Ag � gross area of column), � may be increased<br />

proportionately to as high as 0.90. Capacity of columns with eccentric load or<br />

moment may be similarly determined, but with modifications. These modifications<br />

introduce the assumptions made for strength design for flexure <strong>and</strong> axial loads.<br />

The basic assumptions for strength design of columns can be summarized as<br />

follows.<br />

1. Strain of steel <strong>and</strong> concrete is proportional to distance from neutral axis (Fig.<br />

9.50c).<br />

2. Maximum usable compression strain of concrete is 0.003 in/in (Fig. 9.50c).<br />

3. Stress, psi, in longitudinal reinforcing bars equals steel strain �s times 29,000,000<br />

for strains below yielding, <strong>and</strong> equals the steel yield strength ƒy, tension or<br />

compression, for larger strains (Fig. 9.50ƒ).<br />

4. Tensile strength of concrete is negligible.<br />

5. Capacity of the concrete in compression, which is assumed at a maximum stress<br />

of 0.85ƒ�c , must be consistent with test results. A rectangular stress distribution<br />

(Fig. 9.50d) may be used. Depth of the rectangle may be taken as a � �1c, where c is the distance from the neutral axis to the extreme compression surface<br />

ƒ� �4000 ƒ�<br />

<strong>and</strong> �1 � 0.85 for c psi <strong>and</strong> 0.05 less for each 1000 psi that c exceeds<br />

4000 psi, but �1 should not be taken less than 0.65.<br />

In addition to these general assumptions, design must be based on equilibrium<br />

<strong>and</strong> strain compatibility conditions. No essential difference develops in maximum<br />

capacity between tied <strong>and</strong> spiral columns, but spiral-reinforced columns show far

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