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Projectile motion
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Dezi et. al (2010)
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Projectile motion
This calculator allows the user to design a rectangular concrete slab on soil, supporting walls and columns or vehicle load.
Detailed explanation of the behaviour of a slab-on-grade and required checks can be found in CalcTree's Design Guide: Concrete Footing to AS3600.
All calculations are performed in accordance with AS3600-2018.
Calculation
Assumptions
- The values assume to be the plan dimensions of a concrete column on the slab, or the end plate dimensions for a steel column on the slab
- There is no soil surcharge on the slab as it is poured over the soil
Inputs
Material Properties
Concrete:
f'c
:{"mathjs":"Unit","value":40,"unit":"MPa","fixPrefix":false}
γc
:{"mathjs":"Unit","value":25,"unit":"kN / m^3","fixPrefix":false}
Ec
:32800 MPa
f'ct.f
:3.79 MPa
f'ct
:2.28 MPaReinforcement:
fsy
:{"mathjs":"Unit","value":500,"unit":"MPa","fixPrefix":false}
Es
:200 GPaSoil:
μ
:0.40
qa
:{"mathjs":"Unit","value":150,"unit":"kPa","fixPrefix":false}
Slab-on-grade Geometry
L
:{"mathjs":"Unit","value":7,"unit":"m","fixPrefix":false}
B
:{"mathjs":"Unit","value":5,"unit":"m","fixPrefix":false}
T
:{"mathjs":"Unit","value":0.5,"unit":"m","fixPrefix":false}
Slab self-weight
:438 kNkN
Section x-x:
(x) Cover
:{"mathjs":"Unit","value":50,"unit":"mm","fixPrefix":false}
(x) Reinforcement size
:{"mathjs":"Unit","value":16,"unit":"mm","fixPrefix":false}
(x) Number of bars
:50
(x) Reinforcement spacing
:140 mmSection y-y:
(y) Cover
:{"mathjs":"Unit","value":60,"unit":"mm","fixPrefix":false}
(y) Reinforcement size
:{"mathjs":"Unit","value":16,"unit":"mm","fixPrefix":false}
(y) Number of bars
:50
(y) Reinforcement spacing
:99 mm
Loads
1) Uniform Surcharge
Q
:{"mathjs":"Unit","value":5,"unit":"kPa","fixPrefix":false}
2) Post or column loads
You may input up to four coincident design actions due to concentrated loads. Note, negative N* is compression.
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2) Vehicle Load
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.
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.
Axle spacing
:{"mathjs":"Unit","value":2.5,"unit":"m","fixPrefix":false}
Wheel spacing
:{"mathjs":"Unit","value":2,"unit":"m","fixPrefix":false}
Check
:Vehicle sits on slab
Front axle load
:{"mathjs":"Unit","value":90,"unit":"kN","fixPrefix":false}
Back axle load
:{"mathjs":"Unit","value":40,"unit":"kN","fixPrefix":false}
Safety Factors
Output
Resultant Forces
ΣPz
:-938 kNResultant axial load
ΣMx
:-297.5
ΣMy
:512.5Resultant moments
ex
:0.547 m
ey
:-0.317 mResultant eccentricities
Geotechnical Checks
Bearing Check
Uniaxial | 29.14 | 49.54 | 24.43 | 4.03 | 7 | 5 | 100 |
Cases of biaxial bearing pressure
qmax
:49.54 kPa
Bearing check
:PASS
Overturning
Uplift Check
Sliding Check
Structural Checks (ULS)
Explanation
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.
Detailed explanation of the behaviour of a slab-on-grade and required checks can be found in CalcTree's Design Guide: Concrete Footing to AS3600.
Note
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). To prevent heat-loss, often insulation is put in between the slab and ground surface.
- 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
Let's also look at the advantages and disadvantages of using a slab-on-grade.
Advantages:
- fast and cheap construction
- minimal preparation for concrete pouring, little to no excavation required.
- reduced likelihood of moisture issues e.g. water infiltration, swelling, etc. which are common in embedded foundations
Disadvantages:
- underground utilities cannot be checked or maintained and any damage can only be detected after it has occurred e.g. leakage
- exposed to structural damage during flooding events, since building is constructed on low elevation
Related Resources
- Design Guide: Concrete Footing to AS3600-2018
- Foundation Bearing Failure Modes and Capacities
- Rectangular Footing Design to AS3600
- Concrete Beam Design Calculator to AS3600-2018
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