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PROJECT :
CLIENT :
JOB NO. : DATE :
Eccentric Footing Design Based on ACI 318-14
INPUT DATA DESIGN SUMMA!
COLUMN WIDTH = 5 in FOOTING WIDTH B
COLUMN DEPTH = 5 in FOOTING LENGTH LBASE PLATE WIDTH = 16 in FOOTING THICKNESS T
BASE PLATE DEPTH = 16 in LONGITUDINAL REINF., TOP
FOOTING CONCRETE STRENGTH = .5 !"i LONGITUDINAL REINF., BOT.
REBAR #IELD STRESS = 6$ !"i TRANS%ERSE REINF., BOT.
A&IAL DEAD LOAD = 5$ !
A&IAL LI%E LOAD = '.5 !
LATERAL LOAD ($=WIND, 1=SEISMIC) = $ Win*,SD
WIND A&IAL LOAD = 1 !, SD
WIND MOMENT LOAD = 15 +-!, SD
WIND SHEAR LOAD = .5 !, SD
SURCHARGE = $.1 !"+
SOIL WEIGHT = $.11 !+
FOOTING EMBEDMENT DEPTH = +
FOOTING THICKNESS T = 1 in
ALLOW SOIL PRESSURE = / !"+
FOOTING WIDTH = 1$ +
= 6 +
FOOTING LENGTH = 6 +
= 1 +
REINFORCING SI0E 5
T"E F##TING DESIGN IS ADE$UATE%
ANA&!SIS
CASE 1: DL 2 LL P = 55 !i3" 1. DL 2 1.6 LL
M = 1/6 +-!i3"
4 = .5 +, + +7
CASE : DL 2 LL 2 $.6(1./) W P = 55 !i3" 1. DL 2 LL 2 1.$ W
M = 15 +-!i3"
% = !i3"
4 = .8 +, + +7
CASE /: DL 2 LL 2 $.6($.65) W P = 55 !i3" $.9 DL2 1.$ W
M = 1'6 +-!i3"
% = 1 !i3"
4 = .8 +, + +7
9. ' F = 1.$ $.9 = 1.11 (Satis)actor*+
W;44 18 !-+
($.15 !+) T B L = 16.<$ !, +in7 >4i7;
1./ !, "i >4i7;
15 !-+
FOR RE%ERSED LATERAL LOADS,
<.8 ' F = 1.$ $.9 (Satis)actor*+
W;44 1' !-+
'$ !-+
1.5 .5 !i3" , 6.8 !i3" (Satis)actor*+
W;44 ? $.'
1
@1
@
+
+
PDL
PLL
PLAT
MLAT
%LAT
"
>"
D+
B1
B
L1
L
DESIGN &#ADS AT T#P #F F##TING (IBC 16$5./. ACI /1< 5./)
P
M
4
P
M
%
4
P
M
%
4
C"EC #.ETUNING FACT# ($15 IBC 16$5..1, 1<$<./.1, ASCE 8-1$ 1.1/.')
MR M
O=
MO
= MLAT
2 %LAT
T - PLAT
L =
P+7
=
P"i
= >" (D
+ - T) B L =
MR
= PDL
L 2 $.5 (P
+7 2 P
"i) L =
MR M
O=
MO
= MLAT
2 %LAT
D+ - P
LATL
1 =
MR
= PDL
L1 2 $.5 (P
+7 2 P
"i) L =
C"EC S&IDING ($15 IBC 1<$8../)
(%L, ASD
) = µ ΣW =
µ =
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S4i4 L*" CASE 1 CASE CASE /
P 5'.5 55./ 5'.9 !
4 .5 .< .8 + (+ 4n4 + +i
11. 11. 6.8 !, (";74
'.5 '.5 .8 !, (+in7 in4
8$. 81.$ 6'./ !
1.9 L6 . L6 ./ L6 +1.6 B6 1.6 1.8 B6 +
/$.$ /5.5 /5.' ! +
/.$ /.5 /.6 !"+
/.$ '.$ '.$ !"+
W;44
DESIGN F&E/UE 0 C"EC F&E/UE S"EA
(ACI /1< 1/, 1, )
FACTORED SOIL PRESSURE
F4* L*" CASE 1 CASE CASE /
68. 65.5 '6.$ !
.5 .< .9 +
18.9 11. $.$
/'.9 /'.9 6. !, (+4* +in7
1$.1 111.6 8. !
1.' L6 1.6 L6 1.< L6 +
./<1 .'89 1.<$8 !"+
S4in $
$ 1.5$ /.$$ '.5$ 5.56 6.'' 6.5 6.5$ 6.85
$ $ $ $ $ -9.' -16.< -//.6 -5$.'
$ $.$ $.$ $.$ $.$ 68. 68. 68. 68.
.56 .56 .56 .56 .56 .56 .56 .56 .56
$ -.9 -11.5 -5.9 -/9.6 -5/.$ -5$.$ -5'.1 -5<./
$ /.< 8.8 11.5 1'. 16.5 16.$ 16.6 18./
'.99 '.99 '.99 '.99 '.99 '.99 '.99 '.99 '.99
$ -5.6 -.5 -5$.5 -88. -1$/.' -98.5 -1$5.5 -11/.8
$ 8.5 15.$ .5 8.< /.1 /1. /.' //.8
$.$$ $.51 1.$ 1.5/ 1.<9 .19 .1/ .1 ./$
$ 1<9.5 <<.9 /16./ /$./ 85. <.$ 8.< 6.9
$ -'<. -<'.1 -1$8.< -118. -1$./ -1$.$ -1$./ -1$.'
181%1 24% 23%8 18% 8%3 115%5 5%5 4%
-36% -61% -53%8 -5%2 -4% -%6 -4% -2%2
C"EC S#I& BEAING CAPACIT! (ACI /1< 1/./.1.1)
" B L
($.15->")T B L
Σ P
4L
4B B6
L
>
P
4
γ " B L !, (+4* ";7
γ $.15T 2 >"(D
+- T)BL
Σ P
4
,
FOOTING MOMENT SHEAR AT LONGITUDINAL SECTIONS FOR CASE 1
$.5 L1
$.5$ L1
$.85 L1
CL
CR
$.5 L
$.5$ L
$.85 L
& (+, *i". + 4+ + +in7)
M,
(+-!)
%,
(!)
P,";
(!+)
M,";
(+-!)
%,";
(!)
P,+7 +i
(!+)
M,+7 +i
(+-!)
%,+7 +i
(!)
,"i (!"+)
M,"i
(+-!)
%,"i
(!)
M7 )t-9:
.7 9i;s:
'
'20.85 1 1
0.383
M u f c b f d c
f y
ρ
− − =
40.0018 ,
3 MIN
T MIN
d ρ ρ
=
( )
( )
61
,6
2,
3(0.5 ) 6
L
L
L
L
L
e P
L L for e
Lq
P L for e
L e
Σ + ≤= Σ
>−
61
,6
2,
3(0.5 ) 6
B
L
B
MAX
L B
B
eq
B B for e
q B
q B for e
B e
+ ≤=
>−
( )
( )
61
,6,
2,
3 (0.5 ) 6
MAX
eu P u
L L for eu
BLqu
L P u for eu
B L eu
Σ + ≤=
Σ >
−
'
10.85
MAX
f c u
f u t y
β ε ρ
ε ε =
+
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S4in $
$ 1.5$ /.$$ '.5$ 5.56 6.'' 6.5 6.5$ 6.85
$ $ $ $ $ -11. 1.1 -15./ -/1.6
$ $.$ $.$ $.$ $.$ 65.5 65.5 65.5 65.5
1.6$ 1.6$ 1.6$ 1.6$ 1.6$ 1.6$ 1.6$ 1.6$ 1.6$
$ -1.< -8. -16. -'.< -//. -/1./ -//.< -/6.5
$ .' '.< 8. <.9 1$./ 1$.$ 1$.' 1$.<
'.99 '.99 '.99 '.99 '.99 '.99 '.99 '.99 '.99
$ -5.6 -.5 -5$.5 -88. -1$/.' -98.5 -1$5.5 -11/.8
$ 8.5 15.$ .5 8.< /.1 /1. /.' //.8
$.$$ $.5/ 1.$6 1.59 1.98 .< .1 ./$ ./9
$ 185.5 6.8 <$.9 6.' //.1 '$. /$.6 $.'
$ -'8./ -<1.< -1$/.6 -111.' -11.9 -11/.$ -11.9 -11.'
168% 233% 214%1 16%4 8%3 112%6 56%1 38%6
-35%4 -62%1 -54% -54%5 -% -6%3 -4% -2%4
S4in $
$ 1.5$ /.$$ '.5$ 5.56 6.'' 6.5 6.5$ 6.85
$ $ $ $ $ -.6 6.$ -5.5 -18.$
$ $.$ $.$ $.$ $.$ '6.$ '6.$ '6.$ '6.$
$.$$ $.$$ $.$$ $.$$ $.$$ $.$$ $.$$ $.$$ $.$$
$ $.$ $.$ $.$ $.$ $.$ $.$ $.$ $.$
$ $.$ $.$ $.$ $.$ $.$ $.$ $.$ $.$
/.8' /.8' /.8' /.8' /.8' /.8' /.8' /.8' /.8'
$ -'. -16.< -/8.9 -58.9 -88.6 -8/.1 -89.1 -<5./
$ 5.6 11. 16.< $.< '.1 /.' './ 5./
$.$$ $.$$ $.88 1.16 1.'' 1.66 1.61 1.6< 1.8'
$ $.$ 168.1 18'.$ 15<.' 1/6.9 1'.$ 1/5.1 18.<
$ $.$ -55.8 -69.8 -8/.9 -8/.9 -8'. -8/.< -8/.1
-4%2 1%2 136%1 1% 6%5 54% % 2%
%6 -44% -2%8 -3%1 -3%8 -4%8 -3%4 -1%8
DESIGN FLE&URE
Lin * (in) "4
T3 Ln7i*in -'. +-! 9.69 $.$$$1 $.$$$1 $.$19 n ii 1 5
B Ln7i*in 5'.9 +-! <.69 $.$$5 $.$$'1 $.$19 1< / 5 < in ..
B Tn"4"4 1 +-! + <./< $.$$$' $.$$$/ $.$19 1< 6 5 15 in ..
CHECK FLE&URE SHEAR
Di4in
Ln7i*in 85. ! 15 ! (Satis)actor*+
Tn"4"4 './ ! + < ! + (Satis)actor*+
C"4 R J
1 68. 16<.$ 1<.9 1<.9 $.5 $.' 1.$ .$ 11.$ '.' 1.5 1.9
65.5 18<.< 1<.9 1<.9 $.5 $.' 1.$ .$ 11.$ '.' 1.' 1.9
/ '6.$ 1/$.$ 1<.9 1<.9 $.5 $.' 1.$ .$ 11.$ '.' 1.$ 1.9
>;44 φ = $.85 , (ACI /1< 1.)
FOOTING MOMENT SHEAR AT LONGITUDINAL SECTIONS FOR CASE 2
$.5 L1
$.5$ L1
$.85 L1
CL
CR
$.5 L
$.5$ L
$.85 L
& (+, *i". + 4+ + +in7)
M,
(+-!)
%,
(!)
P,";
(!+)
M,";
(+-!)
%,";
(!)
P,+7 +i
(!+)
M,+7 +i
(+-!)
%,+7 +i
(!)
,"i
(!"+)
M,"i
(+-!)
%,"i
(!)
M7 )t-9:
.7 9i;s:
FOOTING MOMENT SHEAR AT LONGITUDINAL SECTIONS FOR CASE 3$.5 L
1$.5$ L
1$.85 L
1C
LC
R$.5 L
$.5$ L
$.85 L
& (+, *i". + 4+ + +in7)
M,
(+-!)
%,
(!)
P,";
(!+)
M,";
(+-!)
%,";
(!)
P,+7 +i
(!+)
M,+7 +i
(+-!)
%,+7 +i (!)
,"i
(!"+)
M,"i
(+-!)
%,"i
(!)
M7 )t-9:
.7 9i;s:
M,
ρin
ρ4D
ρ
"
%,
φ% = φ @ * (+
)$.5 ;4! %
φ %
C"EC PUNC"ING S"EA (ACI /1< 1/..8., .6.'.1, .6.'./, <.'../)
P
M
@1
@
@$
γ
β
A+
A3
0.5 1( )
231 21 3
6 1 1
1 2
R b M P uu v psivu J A P
d b d b J
b b
b b P u R A f
γ −= +
= + +
=
( )2 1 2
11
2 113
2
d b b A P
vb
b
BL A f
γ
= +
= −+
=
( )
( )
'( ) 2
42, , 40
0
, 0.5 0.5 ,0 1 1 1
psi y f vc c
d y MIN
bc
A P d b b c b bd
φ φ
β
= +
=
= = + +
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PAGE :
DESIGN B# :
RE%IEW B# :
= 16.$$ +
= 8.$$ +
= 1 in
1 5
/ 5 < in ..
6 5 15 in ..
= 68 !i3"
= 16< +-!i3"
= .5 +, + +7
= 66 !i3"
= 189 +-!i3"
= / !i3"
= .8 +, + +7
= '6 !i3"
= 1/$ +-!i3"
= / !i3"= .< +, + +7
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(n*)
n7)
*)
4*)
(Satis)actor*+
@!+i *")
L
8.$$
-68.
68.
.56
-6.8
18.9
'.99
-1./
/'.9
./<
5.
-1$.1
4 *)
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(n*)
L
8.$$
-'<.$
65.5
1.6$
-/9.
11.
'.99
-1./
/'.9
.'<
$9.5
-111.6
L
8.$$
-<.5
'6.$
$.$$
$.$
$.$
/.8'
-91.8
6.
1.<1
1$.
-8.
$.$$$
$.$$'/
$.$$6
(Satis)actor*+
1$5./ 15$.$
1$.8 15$.$
8. 15$.$
(Satis)actor*+
ρ3D
(3"i)
φ
( )0.5 0.52 2 d c b= + +
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INPUT DATA DESIGN SUMMA!
COLUMN WIDTH = 5 in FOOTING WIDTH B
COLUMN DEPTH = 5 in FOOTING LENGTH L
BASE PLATE WIDTH = 16 in FOOTING THICKNESS T
BASE PLATE DEPTH = 16 in LONGITUDINAL REINF. REF
FOOTING CONCRETE STRENGTH = .5 !"i TRANS%ERSE REINF. REF REBAR #IELD STRESS = 6$ !"i
A&IAL DEAD LOAD = 5$ !
A&IAL LI%E LOAD = '.5 !
LATERAL LOAD ($=WIND, 1=SEISMIC) = $ Win*,SD
WIND A&IAL LOAD = 1 !, SD
WIND MOMENT LOAD = $ +-!, SD
WIND SHEAR LOAD = $ !, SD
SURCHARGE = $.1 !"+
SOIL WEIGHT = $.11 !+
FOOTING EMBEDMENT DEPTH = +
FOOTING THICKNESS T = 1 in
ALLOW SOIL PRESSURE = / !"+
FOOTING WIDTH = 6 +
= 1$ +
FOOTING LENGTH = 1 +
= 6 +
REINFORCING SI0E 5
ANA&!SIS
CASE 1: DL 2 LL P = 55 !i3" 1. DL 2 1.6 LL
M = -1/6 +-!i3"
4 = -.5 +, + +7
CASE : DL 2 LL 2 $.6(1./) W P = 55 !i3" 1. DL 2 LL 2 1.$ W
M = -1/< +-!i3"
4 = -.5 +, + +7
CASE /: DL 2 LL 2 $.6($.65) W P = 55 !i3" $.9 DL2 1.$ W
M = -1/8 +-!i3"
4 = -.5 +, + +7
1
@1
@
+
+
PDL
PLL
PLAT
MLAT
%LAT
"
>"
D+
B1
B
L1
L
DESIGN &#ADS (IBC SEC.16$5./. ACI /1<-$ SEC.9..1)
P
M
4
P
M
4
P
M
4
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S4i4 L*" CASE 1 CASE CASE /
P 5'.5 55./ 5'.9 !
4 -.5 -.5 -.5 + (+ 4n4 + +i
11. 11. 6.8 !, (";74
'.5 '.5 .8 !, (+in7 in4
8$. 81.$ 6'./ !
-1.9 L6 -1.9 L6 -.1 L6 +
1.6 B6 1.6 B6 1.8 B6 +
-6.8 -6.< -8.6 ! +
-$.8 -$.8 -$.< !"+
/.$ '.$ '.$ !"+
W;44
DESIGN F&E/UE 0 C"EC F&E/UE S"EA
(ACI /1<-$ SEC.15.'., 1$., 1$.5.', 8.1., 1., 1.5, 15.5., 11.1./.1, 11./)
FACTORED SOIL PRESSURE
F4* L*" CASE 1 CASE CASE /
68. 65.5 '6.$ !
-.5 -.5 -.5 +
18.9 11. $.$
/'.9 /'.9 6. !, (+4* +in7
1$.1 111.6 8. !
-1.' L6 -1.5 L6 -1.6 L6 +
-$.1' -$.56 -$./5 !"+
S4in $
$ $.5 $.5$ $.85 $.56 1.'' .5$ '.$$ 5.5$
$ $ $ $ $ -9.' -1$$.< -$1.6 -/$.'
$ $.$ $.$ $.$ $.$ 68. 68. 68. 68.
.56 .56 .56 .56 .56 .56 .56 .56 .56
$ -$.1 -$./ -$.8 -$.' -.6 -<.$ -$.5 -/<.8
$ $.6 1./ 1.9 1.' /.8 6.' 1$. 1'.1
'.99 '.99 '.99 '.99 '.99 '.99 '.99 '.99 '.99
$ -$. -$.6 -1.' -$.< -5. -15.6 -/9.9 -85.5
$ 1. .5 /.8 .< 8. 1.5 $.$ 8.5
./6 .8 .18 .$< .15 1.</ 1.'' $.<9 $./'
$ 1. '.6 1$. 5.< /6.1 1$.6 /9.1 '$8.6
$ -9. -1<.1 -6.6 -$./ -'<. -85.9 -1$/.9 -11<.6
% 3%6 8%1 4%6 -1%1 -21%8 -22% -%
C"EC S#I& BEAING CAPACIT! (ACI /1<-$ SEC.15..)
" B L
($.15->")T B L
Σ P4
L
4B
L
>
P
4
γ " B L !, (+4* ";7
γ $.15T 2 >"(D
+- T)BL
Σ P
4
,
FOOTING MOMENT SHEAR AT LONGITUDINAL SECTIONS FOR CASE 1
$.5 L1
$.5$ L1
$.85 L1
CL
CR
$.5 L
$.5$ L
$.85 L
& (+, *i". + 4+ + +in7)
M,
(+-!)
%,
(!)
P,";
(!+)
M,";
(+-!)
%,";
(!)
P,+7 +i
(!+)
M,+7 +i
(+-!)
%,+7 +i (!)
,"i
(!"+)
M,"i
(+-!)
%,"i
(!)
M7 )t-9:
'
'20.85 1 1
0.383
M u f c b f d c
f y ρ
− −
=
'
10.85 87
0.7587
MAX
f c f f y y
β ρ
= +
40.0018 ,
3 MIN
T MIN
d
ρ ρ =
( )
( )
61
,6
2,
3(0.5 ) 6
L
L
L
L
L
e P
L L for e
Lq
P L for e
L e
Σ + ≤= Σ
>−
61
,6
2,
3(0.5 ) 6
B
L
B
MAX
L B
B
eq
B B for e
q B
q B for e
B e
+ ≤=
>−
( )
( )
61
,6,
2,
3 (0.5 ) 6
MAX
eu P u
L L for eu
BLqu
L P u for eu B L eu
Σ + ≤=
Σ >
−
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-5%4 -14%4 -21% -16% 2% 1%1 -6% -%8 .7 9i;s:
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S4in $
$ $.5 $.5$ $.85 $.56 1.'' .5$ '.$$ 5.5$
$ $ $ $ $ -<.8 -9<./ -196.5 -9'.<
$ $.$ $.$ $.$ $.$ 65.5 65.5 65.5 65.5
1.6$ 1.6$ 1.6$ 1.6$ 1.6$ 1.6$ 1.6$ 1.6$ 1.6$
$ -$.1 -$. -$.5 -$./ -1.8 -5.$ -1.< -'.
$ $.' $.< 1. $.9 ./ '.$ 6.' <.<
'.99 '.99 '.99 '.99 '.99 '.99 '.99 '.99 '.99
$ -$. -$.6 -1.' -$.< -5. -15.6 -/9.9 -85.5
$ 1. .5 /.8 .< 8. 1.5 $.$ 8.5
.5 .16 .$8 1.9< .$5 1.8' 1./5 $.< $.<
$ 1.1 '.' 9.8 5.5 /'.' 98.6 6.9 /<5.6
$ -<.< -18./ -5.' -19./ -'5.< -8.1 -9<. -111.'
% 3%6 5% 4% -1%1 -21%3 -22%3 -8%8
-5%2 -14% -2%4 -1%6 2%1 % -6%3 -%6
S4in $
$ $.5 $.5$ $.85 $.56 1.'' .5$ '.$$ 5.5$
$ $ $ $ $ -$.1 -69.$ -1/<.$ -$8.$
$ $.$ $.$ $.$ $.$ '6.$ '6.$ '6.$ '6.$
$.$$ $.$$ $.$$ $.$$ $.$$ $.$$ $.$$ $.$$ $.$$
$ $.$ $.$ $.$ $.$ $.$ $.$ $.$ $.$
$ $.$ $.$ $.$ $.$ $.$ $.$ $.$ $.$/.8' /.8' /.8' /.8' /.8' /.8' /.8' /.8' /.8'
$ -$.1 -$.5 -1.1 -$.6 -/.9 -11.8 -/$.$ -56.6
$ $.9 1.9 .< .1 5.' 9.' 15.$ $.6
1.5 1.'6 1.'$ 1./' 1./< 1.16 $.9$ $.5 $.1'
$ $.< /.$ 6.6 /.8 /. 65.< 15./ 58.'
$ -6.$ -11.8 -18. -1/.1 -/$.9 -'<.' -65.' -8/./
%6 2% % 3%1 -%8 -14% -1%5 -6%2
-% -%8 -14%4 -11% 2% 6% -4%4 -6%5
DESIGN FLE&URELin * (in) "4
T3 Ln7i*in -.9 +-! 9.69 $.$$$' $.$$$/ $.$1/' n ii 8 1$ 1' in .., n.
B Ln7i*in <.1 +-! <.69 $.$$$$ $.$$$$ $.$1/' 1< 1$ 1$ 9 in .., n.
B Tn"4"4 '9 +-! + <./< $.$$6 $.$$<9 $.$1/' 1< 6 5 16 in ..
FOOTING MOMENT SHEAR AT LONGITUDINAL SECTIONS FOR CASE 2
$.5 L1
$.5$ L1
$.85 L1
CL
CR
$.5 L
$.5$ L
$.85 L
& (+, *i". + 4+ + +in7)
M,
(+-!)
%,
(!)
P,"; (!+)
M,";
(+-!)
%,";
(!)
P,+7 +i
(!+)
M,+7 +i
(+-!)
%,+7 +i
(!)
,"i
(!"+)
M,"i
(+-!)
%,"i
(!)
M7 )t-9: .
7 9i;s:
FOOTING MOMENT SHEAR AT LONGITUDINAL SECTIONS FOR CASE 3
$.5 L1
$.5$ L1
$.85 L1
CL
CR
$.5 L
$.5$ L
$.85 L
& (+, *i". + 4+ + +in7)
M,
(+-!)
%,
(!)
P,";
(!+)
M,";
(+-!)
%,";
(!)
P,+7 +i
(!+)
M,+7 +i
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7/21/2019 Eccentric Footing
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