3.2.1 Square Footing
Transcript of 3.2.1 Square Footing
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DESIGN OF ISOLATED SQUARE FOOTING
INPUT DATA:Concrete Strength, f'c = 27.6 MP
teel !"el# Strength, f$ = %1% MP
&e#ct"on fctor, φ = 0.90 (for )exre*
φ = 0.85 (for sher*Col+n s"e, - = 600 ++
h = 300 ++
So"l Pressre, Ps = 20.877 sf
= 1000 P
x"l e#lo#, = 772.00 t
x"l "elo#, = 376.00
lt"+te x"l o#, = 1720.0
e"ght of oot"ng (10 of col+n lo#*
=
:otl o# =
&e;"re# re = 1.15
= 1.071 +
:&! 1.0 x 1.0 +
re = 1.00
et 4lt"+te 4
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ctl Pnch"ng She?n =
? ? =
= 1720.00 B( 1000 6000.85 ( 600
0.00 A 1200.00 # 6%0000 = 0200 600
1200 # 6%0000 = 0
1000
D$ E#rt"c F;t"on
# = %00.00 ++
:&! # = %00 ++
CHECK FOR BEAM SHEAR:
ctl De+ Sher, = ?
? = 688
2.02 MP %00 %00
llo. De+ Sher,
= 0.876 MP G 2.02 MP safe for BEAM SHEAR
STEEL REINFORCEMENTS:
D$ Den#"ng M = 3%.%0 +
= 0.0262
= 0.003%
s =
:&! 20
= 31%.160
no. of -rs = 33.32
4SF 33 20
eelo
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Chec for Der"ng Strength
Der"ng strength =
=
= = 2.36 G 2.0
= 2.0
Der"ng strength = 5911920
= 5912 G 11%8 SAFE
Chec e"ght of oot"ng
:otl #e
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ROBINSON'S LIPA
FSIJ @ S@PF SE4&F @@:IJ
IP4: : F-5Concrete Strength, f'c = %1.% MP
Steel !"el# Strength f$ = %1% MP
&e#ct"on fctor, φ = 0.90 (for )exre*
φ = 0.85 (for sher* #/2= 550Col+n s"e, - = 1000 ++
h = 1000 ++
So"l Pressre, Ps = 3.5 sf
= 167.65 P 800
x"l e#lo#, = 7609 #' 300
x"l "elo#, =
x"l Frth;e, Pe; = 0
4lt"+te x"l o#, = 3250
e"ght of oot"ng (8 of col+n lo#*
= 806.6%
:otl o# = #' = 98% ++ > d! SAFE
&e;"re# re = 6%.95
= 8.059 +
:&! x 8.60 +
re = 73.96
et 4lt"+te 4
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ctl Pnch"ng Sh?n =
?
2.1% = 220.855 B( 0.85 (
33.02 A 35017.9% # 7FA007 = 03800 1000
A 1029 # 2FA006 = 0
8600
D$ E#rt"c F;t"on
# = 1037.61 ++
:&! # = 1100 ++
Chec for De+ Sher
ctl De+ Sher,=
?
? = 5128.26
= 0.638 MP
llo. De+ Sher, =
= 1.072 MP G MP SF
S:FF &FI@&CFMF:S
D$ Den#"ng M = 13713.35 += 0.0023
= 0.003%
s = 31990.3%
:&!
= 615.7536
no. of -rs = 51.95
4SF 52 28
s = 166 ++
eelo
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# frn"she# = 3730 ++
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Chec for Der"ng Strength
Der"ng strength =
=
= = 8.6 G 2
= 2
Der"ng strength =
= %9266 G 10083 SF
Chec e"ght of oot"ng
:otl #e
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LU residence
SQUARE FOOTINGF-1
INPUT DATA:
Concrete Strength, f'c = 27.6 MPaSteel Yield Strength, fy = 414 MPa
Reduction factor, f = .! "for fle#ure$f = .%& "for hear$
Colu(n i)e, * = 2 ((h = 4 ((
+lloa*le Soil Preure, P = -. f = 14-.6 Pa
/i#ed /ooting 0idth, = .! (+#ial eadload, = %7.64 3+#ial i5eload, = 1!.7% 3
lti(ate +#ial oad, = 1&6.- 3
nit 0eight of Soil, = 16.Main Reinforce(ent, = 12 ((.
FOOTING AREA:
17 3
h = 1. (
t = .- ( "au(ed$
= 12 Pa
.!+ = length # idth
= = .!4 (S8 1. 9 1. ( /::;+
= 1&6.- Pa
t;RY t = - ((
P
P
P
S:(-
P;:;+
=
+lloa*le ? 38;
= P @ "oil
# h$ @ "
concrete# t$
+R8+ = P>? 38;
= (2
++C;+ = (2
+5erage ? 38;
=
dS
d
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CHECK FOR PUNCHING SHEAR:
t @ cc @ f= 21- (( 1&6 3
d>2
d>21&6.- Pa
c A d c A d
To be s!e" #$% & #c% c A d =
Bu = = 41- ((= 1- 3 4D"c A d$
= 16&2 ((
Bc =-
= 4!2 3
#$% ' #c%" s!e !or PUNCHING SHEAR
CHECK FOR (EA) SHEAR:
d =
= 21!. ((
1. (. To be s!e" #$ & #c
Bu = 2%.2!4 3
1.Bc = * d
(. 6= 162.!!22 3
#$ ' #c" s!e !or (EA) SHEAR
# d
.4 .2 .4
d+B8
=P
;
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REINFORCE)ENT:
21! ((
1&6 3
Mu = = 12.&1 3@(2
Rn =Mu
= .2%!7 MPa
r =.%&f'c E 1@ √ 1@ 2Rn F = .71&6 Pa fy .%&f'c
.4 .2 .4 + = 7411. 11-.1
n = 6.&&
r(in = .-4 PR:B
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DESIGN OF SQUARE FOOTING
INPUT DATA: P
Concrete Strength, f'c = 3000 A#
Doth "#e-e+ ct"on n
5.90 ft to$ ct"on for strengt
#co+
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#e
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ss+e t = 23.62 "n
= 18.62 "n
= 1.55 ft
1. "#e-e+ ct"on
? = ;s x tr"-tr$ re
- = 19.68 ft
= "n
:r"-tr$ re = 11.22
? = 19.61 "
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FOOTING REINFORCEMENT:
% ft
%7 "n 1.901
Cr"t"cl sect"on for +o+e
(long
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3. Chec #eelo
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FOOTING ID:
INPUT DATA:
Concrete Strength, f'c = 27.6 MP 1.20
Steel !"el# Strength, f$ = %1% MP
o-le So"l Pressre, ; = 287.% P ll
Col+n "#th, - = 0.300 +
Col+n #e &() safe for PUNCHING SHEAR
&n =M
= 1.720 MP1200
0.00%3
r+"n = 1.%/f$ = 0.003%
s = 16%3 8 16
1200D@:L!S
4SF 8 16
M"n -r #"+eter, φ =
x"l e#lo#, P
=
x"l "elo#, P =
:otl x"l o#, P : =
P : +2
φ √f'c
#e
= tccφ =
φ √f'c-
o#=
2 -o =
f-#2
ρct =
++2
Y
++φ -r
++φ -r-
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FOOTING ID: F*!
INPUT DATA:
Concrete Strength, f'c = 27.6 MP 2.10
Steel !"el# Strength, f$ = %1% MP
o-le So"l Pressre, ; = 287.% P ll
Col+n "#th, - = 0.600 +1.50
Col+n #e &() safe for PUNCHING SHEA
&n =M
= 2.879 MP2100
0.007%
r+"n = 1.%/f$ = 0.003%
s = 6518n = 32.%2
210032 16
4SF 32 16 D@:L!S
M"n -r #"+eter, φ =
x"l e#lo#, P
=
x"l "elo#, P =
:otl x"l o#, P : =
P : +2
φ √f'c
#e
= tccf =
φ √f'c-
o#
2 -o =
f-#2
ρct =
++2
Y
++φ -r
Y
++φ -r++φ -r
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FOOTING ID: F*/
INPUT DATA:
Concrete Strength, f'c = 21 MP 2.00
Steel !"el# Strength, f$ = %1% MP
o-le So"l Pressre, ; = 11%.9 P
Col+n "#th, - = 0.500 +
Col+n #e &() safe for PUNCHING SHEAR
&n =M
= 1.399 MP2000
0.0035
r+"n = 1.%/f$ = 0.003%
s = 2939 15 16
2000D@:L!S
4SF 15 16
M"n -r #"+eter, φ =
x"l e#lo#, P
=
x"l "elo#, P =
:otl x"l o#, P : =
P : +2
φ √f'c
#e
= tccφ =
φ √f'c-
o#=
2 -o =
f-#2
ρct =
++2
Y
++φ -r
++φ -r-
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FAIR)ART - Reno*+ion Pro,ec+DESIGN OF SQUARE FOOTING
INPUT DATA: P
Concrete Strength, f'c = - iSteel Yield Strength, fy = 4 i SurchargeReduction /actor, f = .%&Colu(n Si)e, * = 12 in /loor 8le5.
h = 12 in
G+lloa*le Soil Preure, P = -.1- f Ser5ice eadload, = 1! iSer5ice i5eload, = -1 iSer5ice Surcharge, = 1 f +u(e a5erage eight of oil
and concrete a*o5e footing *ae = 1- cf HGeight of Soil, G = & ft
;otal 0eight of Surcharge = .7& f 3et Per(ii*le Soil Preure = 2.-% f
Re?'d. ae +rea, +f = 21.%4 = = 4.&%-4! ft
S8 -. # -. ft. SI+R8 /::; 3et Per(ii*le Soil Preure$
ft2
ft2
*o for to@ay action
* for *ea( action
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+u(e t = 12 in= 7 in= .&% ft
1. 0ide@*ea( actionK
Bu = ? # tri*utary area * = - ft
= -6 in;ri*utary area = 1.2&
Bu = 11.1-! i
fBn =
= 2-.46 i L Bu OK
2. ;o@ay actionKBu = ? # tri*utary area
;ri*utary area = 0 # @"* A d$"h A d$
144
= 6.4!
Bu = &7.21 i
2 A4
= 6
USE : 0 Bc
= (ini(u( of A 2 = 6
4 = 4
= 2"*Ad$ A 2"hAd$= 76 in
= *>d= 1
= 1.%&7
= 4 "for interior colu(n$
fBc = !!.7 L &7.21 i OK
deff
ft2
f"2f'c*d$
ft2
ca
f'c*od *
o
*o
*c
*o>d
a
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FOOTING REINFORCE)ENT:
- ft
1% in .
Critical ection for (o(ent"long roNection$
12 in d= 7 in
? = %.%1 f
1. Critical ection for (o(ent i at face of colu(nPu = 7!.- i? = %.%1 f
Mu = . ft@i
2. + re?uired
Re?uired Rn =Mu
= i
r =.%&f'c
"1 @ 1 @ 2Rn>.%&f'c
$fy= .
r"gro area$ = d>h # .2& = .
r(in = .
Re?uired + = r*d = .4&
S
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-. Chec de5elo(ent reinforce(ent
Critical ection for de5elo(ent i the a(ea that for (o(ent "at face of colu(n$.
ld=
-fya*gld* 4f'c ""cAtr$>d*$
Clear co5er "*otto( and ide$= -. in
Center@to@center *ar acing= 7.-1 in
c = -.-% inc = -.66 in
S8 c = -.-% in
tr = "no tran5ere reinforce(ent$
c A tr = -.4 L 2.& S8 2.&
d*
a = 1. "le than 12 in. of concrete *elo *ar$ * = 1. "uncoated reinforce(ent$a* = 1. Q 1.7g = 1. "larger than O7 *ar$
l = 1. "nor(al eight concrete$
ld= 22
d*
ld = 16
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