360R-06 Design of Slabs-on-Ground


R-54 ACI COMMITTEE REPORT



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Design of Slabs-on-Ground

360R-54 ACI COMMITTEE REPORT
Provided that the subgrade is smooth with a low coefficient
of friction, as detailed in 
Section 13.8
, then thickened edges
should not be a significant linear shrinkage restraint;
however, curling stresses would be increased somewhat.
13.11—Relation between curing and curling
Because curling and drying shrinkage are both a function
of potentially free water in the concrete at the time of concrete
set, curing methods that retain water in the concrete will delay
shrinkage and curling of enclosed slabs-on-ground.
Child and Kapernick (1958) found that curing did not
decrease curling in a study of concrete pavements where test
slabs were cured 7 days under wet burlap, then ponded until
loading tests for the flat (uncurled) slabs were completed.
After the loading tests were completed on the flat slabs,
usually within 5 to 6 weeks, the water was removed, the slabs
were permitted to dry from the top, and the load tests were
repeated on the curled slabs. The curl could be reduced by
adding water to the surface, especially with hot water, but
after the water was removed, the slabs curled again to the
same vertical deflection as before the water was applied.
Water curing can saturate the base and subgrade, creating
a reservoir of water that may eventually transmit through the
slab. This is also discussed in 
Chapter 3
.
All curing methods have limited life spans when the
concrete’s top surface is exposed to wear. Thus, curing does
not have the same effect as long-term high ambient relative
humidity. Extended curing only delays curling; it does not
reduce curling.
13.12—Warping stresses in relation to
joint spacing
Several sources (Kelley 1939; Leonards and Harr 1959;
Walker and Holland 1999)
have shown that the warping
stress increases as the slab length increases only up to a
certain slab length. The slab lengths at which these warping
stresses reach a maximum are referred to as critical slab
lengths, and are measured diagonally corner to corner.
Critical lengths, in feet (meters), are shown below for slabs
4 to 10 in. (100 to 250 mm) thick and temperature gradients
T of 20, 30, and 40 °F (11, 17, and 22 °C). A modulus of
subgrade reaction k of 100 lb/in.
3
(27 kPa/mm) and a
modulus of elasticity E of 3 × 10
6
psi (21,000 MPa) were
used in determining these values.
Computer studies indicate that these lengths increase
mostly with slab thickness and temperature gradient, and
only slightly with changes in modulus of elasticity and
modulus of subgrade reaction. 
Figure 13.4 
shows both defor-
mation and warping stress curves for three highway slabs
with lengths less than, equal to, and greater than the critical
slab length. Warping stress does not increase as slab length
increases beyond the critical length because vertical
deformation does not increase.
PCA (Spears and Panarese 1983) states that there will be a
marked loss of effectiveness of aggregate interlock at sawcut
contraction joints if the joints are too far apart. Positive load
transfer using dowels or plates should be provided where
joints are expected to open more than 0.035 in. (0.9 mm) for
slabs subjected to wheel traffic (refer to 
Section 5.2 
for
additional information). Slabs may be more economical if
sawcut contraction joint spacing is increased beyond lengths
noted previously by using distributed reinforcement
designed for crack width control, but not less than 0.50% of
the cross-sectional area. The lowest floor and fork lift truck
maintenance cost may well be achieved with the least number
and length of joints, as long as
curling is not sufficient
to cause
cracking or joint spalling. Increased joint spacings larger than
the critical slab length will not increase warping stresses.

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