1Foundation Design (Isolated Footing) j j j j
An internal column transferring the loads given in table 1 is considered for isolated footing design. The
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material to be used for are C25/30 and S400. If the column size is 600mm by 600 mm. and the soil has
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presumptive bearing capacity of 280 Kpa(Allowable), determine the size and reinforcement j j j j j j j j j j j
necessary for the isolated footing to safely transfer the load. j j j j j j j j j j
ETABS OUTPUT j j
Fx j Fy j Fz j Mx j My j Mz j
Story Joint
Base 33Label Load Case/Combo
Comb1-Ultimate
j
j j
j
j j j
j
Base 33 Comb2-Service
j j j
-7.3925 -2.4641 3587.939 3.9611 -11.7307 -3.0603 j j j j j j
Table 1: Joint Reaction from ETABS to an internal column 1.1
j j j j j j j j j j j
Material data j j
For C25/30 : 𝑓𝑐𝑘= 25 𝑀𝑝𝑎
j j j j j
For S400: 𝑓𝑦𝑘= 400 𝑀𝑝𝑎
j j j j
Concrete design strength j j j
-5.1324 -1.8362 2564.1252 2.9776 -8.1731 -2.1384 j j j j j j
fcd = αccfck
j j j [ES EN 1992 −1 −1: 2015, Eqn. 3.15 ] j j j j j j j j
γc
Where: the recommended value of αcc is 0.85.
j j j j j j j j
fcd = 0.85 ∗25 1.5
j j j j j = 14.17 𝑀𝑝𝑎 j j
Steel design strength j j j
fyd = 𝑓𝑦𝑘j j j [ES EN 1992 −1 −1: 2015, Figure 3.8 ] j j j j j j j j
𝛾𝑠
fyd =400 1.115 = 347.83 Mpa
j j j jj j j
1.2 Footing proportioning j j
Factor of safety (F.S) j j j j
F . Ultimate load 358 . 11 . .3 96 .1 399
j
j j j
j
S 7 . 939
2564 73 .8 173
125 .2 978
j
Service load j
j j j
all 280 Kpa
ult .1 * 280 Kpa 391.81 Kpa j
399
Eccentricity at service load j j j j
Isolated footing j j Page |1 j j j j j j Af j
, ISOLATED FOOTING DESIGN ES EN 1992-1-1:2015 j j j j j j
e M y .8 173
.3 x 3
j
j j
x
P 256 . 188 10 j
4 125
e M x .2 978 .1 x 3 j
y j j
P 2564 . 125 161 10 j
Now, the stress at the four corners of the footing can be determined from:
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P 1( 6e x 6 e y )
A B B
Figure 1 Stress distribution on isolated footing with eccentric loading.
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Any plan dimension of footing, B and L, must satisfy two things:
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a)The maximum stress must be less than or equal to the allowable bearing
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capacity. j
b)The minimum stress must be greater than zero.
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Condition a) j j
Since the eccentricity is relatively equal in both axis’s, a square footing is ideal.
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P 6 6e y
1( e x ) all
j
max
A B B
2564.1252 6 * .3 x 3 6 * . 16 x 3 )
1
j j j
B2 188B 10 1 1B 10 all
(
2564.125 26 . x 3 )
all
j j
1
2 B2 094
B 10
(
Isolated footing j j Page |2 j j j j j j Af j