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TERZHAGI’ BEARING CAPACITY
ULTIMATE COHESION EFFECTIVE OVERBURDEN UNIT WEIGHT AT THEPRESSURE BOTTOM OF THE FOOTING
q q q q
A. GENERAL SHEAR FAILURE
SQUARE FOOTING
1.3 ' 0.4u c qq c N qN BN
CIRCULAR FOOTING
1.3 ' 0.3u c qq c N qN DN
CONTINUOUS FOOTING
' 0.5u c qq c N qN BN
B. LOCAL SHEAR FAILURE
1
2' '
3
2' tan tan '
3
c c
Problem 1
What will be the gross and net allowable bearing pressure of
sand having Ø’ = 35°, GS = 2.70, e = 0.65, and w = 20% under
the following cases: (a) size of footing 1.2 m square, (b)
circular footing of 1 m diameter and (c) 1.5 m wide strip footing.
The footing is placed at the depth of 1.5 m below NGL and the
water table is at a great depth. Use FS = 3. Compute the by
Terzaghi’s general shear failure theory.
EFFECT OF GROUNDWATER
Case I: Water table is above the bottom of the footing (a)
'
f
sat water
q D D D
Case II: Water table is at the bottom of the footing (b)
f
sat water
q D
Case III: Water table is below the bottom of the footing ©
fq D
1
'ave
ave
D B D D BB
D B
DESIGN OF ISOLATED SQUARE FOOTING
Problem 2
Design an interior isolated square footing that carries the
following load as transmitted by the 400 x 400 mm column
pedestal with 8 – 16 mm diameter bars distributed equally in all
sides:
D = 70 kN L = 58 kN
E = 34 kN W = 49 kN.
The footing is placed 1.5 m below the NGL. Use γsoil = 18.2
kN/m3, γconcrete = 23.54 kN/m
3, f’C = 28 MPa, and fy = 414 MPa.
Use 20 mm diameter for main reinforcements. The allowable
soil bearing capacity is 150 kPa.
Problem 3
Design a 300 mm thick interior isolated square footing that
carries the capacity of a 350 mm x 350 mm first floor concrete
column reinforced with 12 – 16 mm diameter distributed all
sides. Assume that the thickness is adequate to resist one and
two way shear. Assume that footing carries 100% axial loads
only
The footing is placed 1.8 m below the NGL. Use γsoil = 17.5
kN/m3, γconcrete = 23.54 kN/m
3, f’C = 21 MPa, and fy = 414 MPa.
Use 20 mm diameter for main reinforcements. The allowable
soil bearing capacity is 180 kPa
DESIGN OF ISOLATED RECTANGULAR FOOTING
Problem 4
The center of one of the column of MIT Intramuros is 1.3 m
from the property line. Design the footing for that particular
column given the following parameters: The 400 x 400 mm
column carries a dead load of 650 kN and a live load of 700
kN. The footing is placed 1.7 m below the NGL. The allowable
soil bearing capacity is 200 kPa. Use γsoil = 17.5 kN/m3, γconcrete
= 23.54 kN/m3, f’C = 21 MPa, and fy = 414 MPa. Use 25 mm
diameter for main reinforcements.