360R-06 Design of Slabs-on-Ground


R-34 ACI COMMITTEE REPORT



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Design of Slabs-on-Ground

360R-34 ACI COMMITTEE REPORT
slabs. Stiffer, more widely spaced reinforcement permits
lower reinforcement percentages to be used satisfactorily.
This is typically achieved with ASTM A 497 deformed wire
reinforcement or ASTM A 615 deformed bars, widely
spaced. Other deformed bar reinforcement is also acceptable,
such as reinforcement defined in ASTM A 996 and A 706.
8.3.4 Maximum reinforcement—The objective of full
shrinkage compensation is to attain restrained member
expansive strains equal to or greater than the restrained
shrinkage strains. Kesler et al. (1973) cautioned that the
maximum level of reinforcement should be approximately
0.6% because, at that point, restrained expansion strains
equaled restrained shrinkage strains. This maximum ratio
does not depend on the yield strength of the reinforcement.
To prevent concrete from shrinking more than the restrained
expansion, lighter percentages of steel are recommended.
Should high steel ratios be required for structural design
conditions, higher expansion levels in the concrete, as
measured by ASTM C 878 prisms, would be required.
The required level of ASTM C 878 prism expansion
strains can be determined by using Fig. 8.3. The figure shows
the relationship between prism expansions, internal reinforce-
ment percent, volume-surface relationship, and resulting
concrete slab expansions. The figure enables one to estimate
the anticipated member shrinkage strains using the volume-
surface ratio for different slabs and different reinforcement
percentages. If the resulting slab expansions are greater than
the resulting shrinkage strains for a given volume-surface
relationship, then full shrinkage compensation is obtained.
This prism value is the minimum value that should be
specified or verified in the lab with trial mixtures; the
minimum recommended amount of concrete expansion for
slabs-on-ground measured in accordance with ASTM C 878
is 0.03% (Russell 1973).
8.3.5 Alternative minimum restraint levels—Russell
concluded that restrained expansion should be equal to or
greater than restrained shrinkage (Keeton 1979). The
concrete shrinkage depends on aggregate type and gradation,
unit water content, volume-surface ratios,
*
and
environ-
mental and other conditions. The expansion strain depends
largely on the expansion capability of the concrete mixture,
which in turn depends on cement factor, curing, admixture,
and the level of internal and external restraint.
Therefore, the minimum reinforcement required to properly
control expansion for shrinkage compensation depends on
the potential shrinkage of the slab and the restrained prism
expansion of the concrete mixture measured according to
ASTM C 878. For a given volume-surface ratio and a
minimum standard prism expansion level (verified with trial
batch data), internal restraint levels provided by less than
0.15% steel in a typical 6 in. (150 mm) slab can be used (ACI
1980). If the slab expansion is greater than the shrinkage
strain for a surface-volume ratio of 6:1, using Russell’s data
(American Concrete Institute 1980), full compensation can
be achieved. Circumferential curves depicting shrinkage
strains for volume-surface ratios for other slab thicknesses
are also shown in 
Fig. 8.4
.
Care should be exercised when using low reinforcement
ratios. If light reinforcement
is used, it may accidentally be
depressed into the bottom third of the slab, which can lead to
subsequent warping and cracking. Light, but stiff, reinforce-
ment can be obtained by using larger bars or wire at a wider
spacing. The maximum spacing of reinforcing bars should
not exceed three times the slab thickness. For smooth wire
reinforcement, the spacing should not be
more than 14 in.
(360 mm), even though a wider spacing is easier for workers
to step through. Deformed welded wire reinforcement can be
spaced in the same manner as reinforcing bars. If tests and
design calculations are not used, the minimum 0.15%
reinforcement is often specified.

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