This calculator allows the user to design a rectangular concrete slab on soil, supporting walls and columns or vehicle load. It includes section design to AS3600-2018.
Note
❗ This calculation has been written in accordance with AS3600-2018
Calculation
Inputs
Geometry nomenclature
Geometry and load nomenclature
Material Properties
Concrete
f'c
:41MPa
Concrete unit weight
:24kN/m3
Ec
:0 MPa
f'ct.f
:3.84 MPa
f'ct.f (1)
:2.31 MPa
Reinforcement
fsy
:500MPa
Es
:200,000MPa
Soil
μ
:0
Slab-on-grade Geometry
L
:5m
B
:5m
T
:0.5m
Section x-x
(x) Cover
:50mm
(x) Reinforcement size
:16mm
(x) Number of bars
:50
(x) Reinforcement spacing
:100 mm
Section y-y
(y) Cover
:60mm
(y) Reinforcement size
:16mm
(y) Number of bars
:50
(y) Reinforcement spacing
:99 mm
Loads
Wall, columns or post loads
You may input up to four coincident design actions due to concentrated loads. Note, negative N* is compression
Vehicle Load
If the vehicle is longer than the slab, then the calculator positions the largest axle load in the middle of the slab as it produces the most critical bending moment.
Vehicle load configuration
If the vehicle can fit along the length of the slab, then the calculator positions the centreline of the axles to the centre of the slab.
Axle spacing
:3m
Wheel spacing
:2m
:Vehicle sits on slab
Front axle load
:90kN
Back axle load
:40kN
Uniform Surcharge
Q
:0kPa
FoS and Capacity Reduction Factors
Factor of Safety
:1.5
ϕ shall be selected as per AS3600 Table 2.2.2.
ϕ (bending)
:0.85
ϕ (shear)
:0.7
Output
Resultant Forces and Eccentricities
Slab self-weight
:300 kNkN
ΣPz
:430 kN
ex
:-0.17 m
ey
:0 m
Bearing Check
Different cases of biaxial bearing pressure
Bearing corner pressures
Uniaxial
13.69
13.69
20.71
20.71
5
5
100
qmax
:20.71 kPa
Bearing check
:PASS
Overturning
ΣMo=Total overturning momentΣMr=Total resisting moment
Section x-x
(x) ΣMr
:750 kNm
(x) ΣMo
:0 kNm
Section y-y
(y) ΣMr
:750 kNm
(y) ΣMo
:0 kNm
Overturning check
:PASS
Uplift Check
ΣPz (1)
:430 kN
ΣPu
:0 kN
Uplift check
:PASS
Sliding Check
Ff=Frictional resistanceF∗=Pushing force=applied shear in the direction being considered
Section x-x
(x) Ff
:172 kN
(x) F*
:0 kN
Section y-y
(y) Ff
:172 kN
(y) F*
:0 kN
Sliding check
:PASS
ULS Capacity Checks
Beam Shear
Vu=kvbwdvfc′
Section x-x
(x) V*
:43 kN
(x) kv
:0.15
(x) dv
:318.2 mm
(x) ϕVu/m
:214 kN
(x) V*/ϕVu
:0.1991885228880588
Section y-y
(y) V*
:43 kN
(y) kv
:0.15
(y) dv
:318.2 mm
(y) ϕVu/m
:214 kN
(y) V*/ϕVu
:0.20015639714893374
Flexure
Mu=Astfsy(do−2γkudo)
α2
:0.7885
γ
:0.7630000000000001
Section x-x
(x) M*
:65 kNm
(x) ku
:0.092
(x) do
:442 mm
(x) ϕMu
:364 kNm
(x) M* / ϕMu
:0.17758912990481143
Section y-y
(y) M*
:65 kNm
(y) ku
:0.094
(y) do
:432 mm
(y) ϕMu
:356 kNm
(y) M* / ϕMu
:0.18185346958971838
Explanation
This section focuses more on the limit state design principles of slab design to AS3600. Detailed explanation of the behaviour of footings and required checks can be found in CalcTree's Design Guide: Concrete Footing to AS3600.
A slab-on-grade (also called slab-on-ground) is a type of foundation mainly used for lightly loaded structures such as residential and small commercial buildings. Concrete is poured directly onto the prepared ground, without any basement or crawl space beneath it. This concrete slab serves as both the foundation and the floor of the building.
Slab-on-grade for residential housing (Source: RAMJACK)
Design Considerations
Choosing the appropriate foundation type for the structure above is essential; each have their advantages and disadvantages, and every site has its own constraints. Slab-on-grade is generally used when the following conditions are met:
Warm climate - heat-loss occurs quickly in buildings built on slab-on-grade, as there is no space provision for heating ducts under the floor (the slab).
Utilities can be routed above ground - any underground gas and drainage pipes must surface may need to routed into the building externally, without penetrations in the slab.
Ground profile is generally flat - uneven ground profile requires excavation, at which point it may be easier to utilise other types of foundations
Slab-on-grade is particularly advantageous for its fast and cheap construction. It requires minimal preparation for concrete pouring. As the slab is poured directly on ground, there’s little to no excavation required. Also, the fact that it sits on ground reduces the likelihood of moisture issues e.g. water infiltration, swelling, etc. which are common in embedded foundations.
However, there are also disadvantages to using slab-on-grade. Underground utilities cannot be checked or maintained and any damage can only be detected after it has occurred e.g. leakage. Also, as the building is constructed on low elevation, it is exposed to structural damage during flooding events.
In regions where the ground temperature drops marginally lower than the interior temperature, significant heat losses can occur in the building. To prevent this, often insulation is put in between the slab and ground surface.