12- footing design [compatibility mode]
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Footing Design Considerations
Footing should be placed below frost line
The centroid of footing must coincide withthe centroid of the applied loads
Allowable soil ressure should not be exceeded
Below grade footing should be equipped with drainage system.Water causes deterioration of the soil bearing pressure
oo ngs s ou e p ace n excava ons ma e n compac e . oo ngs canno e p ace pr orto soil compaction.
For sizing the footing we need to take into account all the loads which produce soilpressure- These are UNFACTORED loads and include:
Dead Load and Live load on the footing
Weight of the footing itself
Weight of the slab on grade (if any)
Weight of surcharge (if any)
When we determine the re uired thickness and a ro riate steel reinforcement we must use
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FACTORED loads.
Initial estimates of 18-24 inches for footing thickness are appropriate for start up calculations.
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Isolated Footings
The thickness of a square pad or isolated footing is governed by the punching shear which is the
ten ency o t e co umn to pus t roug t e oot ng or t e so pus ng upwar mov ng t e paupward.
)(4 +== dWidthcolumnPerimeterbo
75.04
'
==
dbfv occ
The effective depth d is determined such that the shearforce resulting from the factored loads does not exceedthe equation above:
uc VV =nce e c ness s e erm ne ase on e s ear
value, the bending reinforcement will be calculated verysimilar to a beam.
.
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Isolated Footings- Design Procedure
Steps for designing a footing can be summarized as the following:
1) Determine the effective depth. There is usually some information to start with anintelligent estimate an effective depth (d) value of 18-20 inches is a good startingpoint
2) Calculate the effective earth pressure( net earth pressure)
qe = qallowable weigh of the footing and weight of the soil
=e
qallowable = allowable soil pressure orsoil bearing capacity (ksf)
a) Sandy soil: pressures are larger under the center of footing and-
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good lateral support and can easily be movedb) Clayey soil
c) Design assumption
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Isolated Footings- Design Procedure
3 Based on effective stress find the re uired area.
ifVc > Vu Assumed thickness is adequate
Vu = Shearforce from thefactoredloads
=
af
u
Critical Area = af2
(bc + d)2
Vu
= qu af2
(bc + d)2[ ]
af
d/
d/2
bc
orce
4) Check punching shear to see if the assumed d is adequate
Vc = fc/
bo d bcd/2 d/2
Effective area
qe =area
=Ar
Ar =Load(unfactored)
qe
Critical perimeter
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Ar = af af
af = sqauresided/2 d/2
d
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Isolated Footings- Design Procedure
5 Select rebars to carr the moment. Assume the footin is made u of beams eachprojected beyond the face of the column acting as an inverted cantilever beam- the criticalsection is at the face of the column
cf baL =
af
Cantilever beam
u beamcantileveraformomentLwM
=
= )(2
2
af
action
fuu
bc//2
af/2
ACI code provisions for footing design and analysis are:
-piles the minimum depth is 12 inches
Minimum cover distance for steel reinforcement is 3 inches
5Reinforcing bars can be in contact and there is nor distance required between thebar layers