360R-06 Design of Slabs-on-Ground


R-72 ACI COMMITTEE REPORT



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Design of Slabs-on-Ground

360R-72 ACI COMMITTEE REPORT
M = f

S = f
t
Equate the moment capacity of the unreinforced slab to the
post-tensioned slab
285 psi
= 435 psi
h = = 4.85 in.
The 150 psi residual compressive stress could be increased
to use a 4 in. thick slab or reduced so a 5 in. thick slab could
be used.
APPENDIX 5—DESIGN EXAMPLES USING 
SHRINKAGE-COMPENSATING CONCRETE
A5.1—Introduction
The material presented in this appendix is discussed in
greater detail in ACI 223. Slab design using this material is
divided into three parts.
The first part is the selection of slab thickness, which can
be done, for example, using 
Appendixes 1

2
, or 
3
. This
follows the assumption that the slab is being designed to
remain essentially uncracked due to external loading.
This is followed by design of the concrete mixture and
the reinforcing steel to compensate for subsequent drying
shrinkage. Because the net result of initial expansion and
later shrinkage is to be essentially zero, no prestress is to be
considered.
The second part of the process—selection of the appropriate
amount of reinforcement—is a critical part of the design. This
reinforcement can be mild steel, as illustrated in this appendix,
or post-tensioning tendons. ACI 223 recommends that the
reinforcement be placed in the top 1/3 to 1/4 of the slab.
The third part of the design is the determination of the
required prism expansion to ensure shrinkage compensation,
which leads to the design for properties of the concrete
mixture. This is shown in Section A5.2. Expansion of the
length of the slab is also determined.
A5.2—Example with amount of steel and slab joint 
spacing predetermined
The thickness of the slab, the joint spacing, and the amount
of steel have been set as follows:
Thickness = 6.0 in.
Amount of mild steel = 0.36 in.
2
/ft, which is 0.5%
Joint spacing = 80 ft
The slab is assumed to dry on the top surface only; there-
fore, the volume-surface ratio is 6.0 in.
For complete shrinkage compensation, the amount of
expansion will be equal to the anticipated amount of
shrinkage, which must be determined first. For this example,
the shrinkage is assumed to be equal to the prism expansion.
Prism expansion = 0.046% = 0.00046 in./in.
bh
2
6
--------
6 in.
(
)
2
6
--------------------- 
bh
2
6
--------
285 psi(6 in.)
2
435 psi
----------------------------------
This expansion, as determined by ASTM C 878 from tests
of the concrete mixture, is used with Fig. A5.1 to determine
member expansion.
Member expansion = 0.028% or 0.00028 in./in.
This is to be combined with the joint spacing to determine
the total slab motion and the required thickness of the joint
filler. The design assumption is made that all motion occurs
at one end of the slab.
Motion = 0.00028 × 80 × 12 = 0.269 in.
Use a joint filler that will compress at least twice this
amount.
Filler thickness = 2 × 0.27 = 0.54 in.
ACI 223 discusses these features in greater detail.

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