360R-06 Design of Slabs-on-Ground


CHAPTER 7—DESIGN OF SLABS REINFORCED



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Design of Slabs-on-Ground

CHAPTER 7—DESIGN OF SLABS REINFORCED 
FOR CRACK-WIDTH CONTROL
7.1—Introduction
Slabs-on-ground are designed and their thickness selected
to prevent cracking due to external loading, as discussed in
Chapter 6
. Slab thickness calculations are based on the
assumption of an uncracked and unreinforced slab. Steel
reinforcement may be used in slabs-on-ground to improve
performance of the slab under certain conditions. These include:
• Limiting width of shrinkage cracks;
• Use of longer joint spacings than unreinforced slabs; and
• Providing moment capacity and stability at cracked
sections.
The use of reinforcement will not prevent cracking, but
will actually increase crack frequency while reducing crack
widths. Properly proportioned and positioned, reinforcement
will limit crack widths such that the cracks will not affect
slab serviceability.
7.2—Thickness design methods
The inclusion of reinforcement (even in large quantities)
has very little effect on the uncracked strength of the slab.
The PCA, WRI, and COE thickness design methods
described in 
Chapter 6 
may all be applied identically to the
design of reinforced slabs-on-ground by simply ignoring the
presence of the reinforcement.
7.3—Reinforcement for crack-width control only
Reinforcement required for crack-width control is a function
of joint spacing and slab thickness. To eliminate sawcut
contraction joints, a minimum steel ratio of 0.5% (PCA
2001) of the slab cross-sectional area is recommended. The
reinforcement should be located as close to the slab top
surface as possible while maintaining minimum concrete
coverage over the reinforcement.
7.4—Reinforcement for moment capacity
Reinforcement for moment capacity (WRI 2001) provides
a cracked, reinforced section equivalent to the uncracked,
plain concrete section. This design requires the joint spacing
to be as shown in 
Fig. 5.6
, and the reinforcement is to be
discontinuous at the joints. For steel located at mid-depth
(in.-lb units) (7-1)
(SI units)
where
A

= cross-sectional area of steel, in.
2
/ft (mm
2
/m) of
slab;
= slab thickness, in. (mm);
f
c
′ = compression strength of concrete, psi (MPa);
f

= yield strength of reinforcement, psi (MPa);
f

= 75% of f
y
maximum. (Note: using high steel
reinforcement stresses may lead to unacceptable
wide crack widths. The designer may want to
consider using less than 75% of f
y
to limit the
width of the cracks.), psi (MPa); and
MOR = modulus of rupture for the concrete, as used for
unreinforced design, generally taken as 9 , psi
(0.75 , MPa); may range from 7 to 11 , psi
(0.58 to 0.91 , MPa).

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