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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