Design of Cantilever Beam.xls

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    DESIGN OF CANTILEVER BEAM

    1 Clear Span (opening ) 2.50 mtr 2500 mm

    2 Wall width 0.40 mtr 400 mm

    3 Super imposed loads 12.00 kN per meter run

    4 Conrete M 20 unit weight 25000

    7 m 13.3

    5 Steel f 415 !ensile stress 230

    " Nominal Co#er 25 mm $ffe%ti#e Co#er 30 mm

    Reinforcement

    Main !op 16 3 Nos&

    'n%hor ars (ottom ) 10 2 Nos&

    Strirrups 8 120 to 300 mm %*%

    400

    350

    2500

    N*m3

    %% N*mm2

    N*mm2

    mm

    mm

    mm

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    3 nos&ars 16

    2 nos.bars 16

    0 720 1780

    200

    490 0 #REF! mm

    ###

    10 mm 2 nos.anchor bars 8

    120 mm c/c

    8 300 mm c/c

    (A) s"cton

    3 nos.bar o$ 16

    2 nos.bars 16

    8 300 mm c./c

    200

    10

    490 mm

    250

    mm

    (%)&"cton at th" "n'

    250

    mm

    mm

    mm2 ldg strirrup

    mm2 lgd strps

    mm

    mm

    mm2 lgd strps

    mm2 nos&an%hor ars

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    () s"cton at s**ort pk+nandwana ,ahoo&%o&in

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    DESIGN OF CANI!E"ER #EA$

    C%e&r S'&n (o'enin) * 2.50 m 2500 mm

    +&%% ,i-t 0.40 m 400 mm

    S/'er im'oe- %o&- 12.00 n +r 12000 , *"r m"t"r

    Conrete $ 20

    Stee% f 415 eni%e te 230

    7 m 13.3

    Nomin&% coer 25 mm Effectie coer 30 mm

    1 Design Constants:- For -& ars %ocr"t" 20

    = 230 t. o$ concr"t" 25000

    = 7 m = 13.3

    mc

    13&3- .

    0.288

    13.3 7 230

    = 1 0.288 / 3 0.04

    = 0.5 7 0.904 0.288 0.116

    2 Caculcation of BM :-

    1& /et depth of eam at fi-ed end 0 span *. 0 2&5 . 0.36 mt &a 400

    effe%ti#e depth of eam at fi-ed end 4 2co"r 400 2 25 450

    &a 500 mm

    /et width of eam at fi-ed end 5 2 250 &a 250 mm

    'ssume depth of eam at free end 5 / 2 250 sa 200 mm

    ,/mm2 ,/mm2

    cc ,/mm2

    st ,/mm2 ,/mm2

    %%

    ,/mm2

    0

    m%st

    901k*3

    R01*2-% - - k

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    /et width of eam at free end 250 mm

    1- ( 0.50 &2 * : &25 2.50 ### 546 ,

    2

    '%ting at&5 2& : &2 : 2&5

    0 1.07&5 &2 3&

    0 5469 - 1&. 12 -( 2&5 43356 43.36 ,m2& &0 N m

    &h"ar $orc" at "'" o$ s**ort 0 54"6 12 : 2&5 0 3546 ,

    2Design of setion :-

    $ffe%ti#e depth re7uired 0

    0

    43&3" -

    0 43" mm8-

    &612 - 25

    !et / t&e - 0 44 0 44 2 5 0 40

    'ssuming that99

    : mm dia links and a nominal %o#er of 025

    ; 046 25 :

    1" * 2 0 44

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    'rea of rest ars0 2 : 201 0 42

    42 "&63:

    (1)23 - &64 -

    !otal depth of se%tion 2

    46 2

    - x

    2&5

    0 2 26

    - x 25 : :2&5

    0 156 11" x (2)

    Susituting in (1)@ 42 "&63:

    23 - &64 -( 156 11"

    0

    or "&63: - 0 42 -( 23 - &64 -( 156 11"

    or 6937500 0 42 -( 2: -( 156 11" -)

    ''" b 402 than 1.2"1 0 335. 2411. -

    1.2"1 2411. - 335. 0

    ''" b 17261 than 1 1&4 - 1&6152 0

    a 0 or a 1.397 1.95 4 1.00 1.9152

    2 a 2 1

    or a 1.397 ( 1.95 7.660667439

    2

    or a 1.397 ( 9.6129153

    2 1or a 1.397 3.100

    2

    or a 4.498 / 2

    or a 2.249 m sa 2.30 mtr

    nmm "mb"''"' r";r"m"nt b"on' ths # 0 12 - 1" 0 12

    or e7ual to d- 0 156 $ 11" - 2&3 0 42"

    ars ma e %urtail at0 2&5 2&3 &42" 0 &"3 mtr

    $rom th" "'" o$ th" s**ort.

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    h"r"t#

    tc

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    pk+nandwana,ahoo&%o&in

    mailto:[email protected]:[email protected]
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    mm

    mm

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    mm

    mm

    &

    mn'

    mm2

    li%@

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    -)

    mm

    #e

    ion

    i%hre

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    mm

    mm

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    a:: 'th

    400

    2500

    3 16 mm bars 2 16 mm bars

    720 1780

    20012

    3 3

    490

    8 mm 2 :'". &trrr*s

    8 mm 2 :'". &trrr*s ? 120 mm c/c

    2 10 mm bars ? 210 mm c/c

    -o:'n bars

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    250

    250 3 16

    mm

    25 mm

    8

    2 ' strrr*s @

    ? 120 mm c/c 8

    2 ' strrr*s 200

    ? 300 mm c/c 450 mm

    2 10 25 mm

    &"cton at "n'

    2 10

    s"cton at s**ort

    mm main ars

    mm

    mm

    mm an%hor ars

    mm an%hor ars

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    mailto:[email protected]:[email protected]
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    "A!?ES OF DESIGN CONSANS

    ra'" o$ concr"t" 15 20 25 30 35 40 ra'" o$ conc

    o':ar Rato 18.67 13.33 10.98 9.33 8.11 7.18

    5 7 8.5 10 11.5 13

    93.33 93.33 93.33 93.33 93.33 93.33

    0.4 0.4 0.4 0.4 0.4 0.4

    0.867 0.867 0.867 0.867 0.867 0.867

    0.867 1.214 1.474 1.734 1.994 2.254

    0.714 1 1.214 1.429 1.643 1.857

    0.329 0.329 0.329 0.329 0.329 0.329 15

    0.89 0.89 0.89 0.89 0.89 0.89 20

    0.732 1.025 1.244 1.464 1.684 1.903 25

    0.433 0.606 0.736 0.866 0.997 1.127 30

    0.289 0.289 0.289 0.289 0.289 0.289 35

    0.904 0.904 0.904 0.904 0.904 0.904 40

    0.653 0.914 1.11 1.306 1.502 1.698 45

    0.314 0.44 0.534 0.628 0.722 0.816 50

    0.253 0.253 0.253 0.253 0.253 0.253

    0.916 0.916 0.916 0.914 0.916 0.916

    0.579 0.811 0.985 1.159 1.332 1.506

    0.23 0.322 0.391 0.46 0.53 0.599

    d

    (N * mm2

    %%

    N*mm2

    m %%

    (a) st0

    14N*mm2(Ae 25)

    k%

    %

    8%

    ra'" o$concr"t"

    >% (B)

    (b) st0

    16N*mm2

    k%

    %

    8%

    >%(B)

    (c ) st0

    23N*mm2(Ae 415)

    k%

    %

    8%

    >%(B)

    (') st0

    2.5N*mm2

    (Ae 5)

    k%

    %

    8%

    >%(B)

    @ermii%e e&r tre &%ein concrete (IS 456=2000*

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    b'15 20 25 30 35 40

    0.18 0.18 0.19 0.2 0.2 0.2

    0.25 0.22 0.22 0.23 0.23 0.23 0.23

    0.50 0.29 0.30 0.31 0.31 0.31 0.32 10

    0.75 0.34 0.35 0.36 0.37 0.37 0.38 15

    1.00 0.37 0.39 0.40 0.41 0.42 0.42 20

    1.25 0.40 0.42 0.44 0.45 0.45 0.46 25

    1.50 0.42 0.45 0.46 0.48 0.49 0.49 30

    1.75 0.44 0.47 0.49 0.50 0.52 0.52 35

    2.00 0.44 0.49 0.51 0.53 0.54 0.55 40

    2.25 0.44 0.51 0.53 0.55 0.56 0.57 45

    2.50 0.44 0.51 0.55 0.57 0.58 0.60 50

    2.75 0.44 0.51 0.56 0.58 0.60 0.62

    3& and ao#e 0.44 0.51 0.57 0.6 0.62 0.63

    rade of %on%rete 15 20 25 30 35 40

    1.6 1.8 1.9 2.2 2.3 2.5

    1's B"rmssb:" sh"ar str"ss in %on%rete t# N*mm

    2

    Gr&-e ofconcrete

    E &15

    $&:im/m e&r tre %&m&:

    in concrete (IS 456=2000*

    %&ma-

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    R"$orc"m"nt C

    M-+, M-+, )( )(

    &15 0.18 0.18 &15

    &1" 0.18 0.19 &1:

    &1. 0.18 0.2 &21

    &1: 0.19 0.21 &24

    &16 0.19 0.22 0.27

    &2 0.19 0.23 &3

    &21 0.2 0.24 &32

    &22 0.2 0.25 0.35

    &23 0.2 0.26 &3:

    &24 0.21 0.27 0.41

    0.25 0.21 0.28 &44

    &2" 0.21 0.29 0.47

    0.27 0.22 0.30 &5

    &2: 0.22 0.31 0.55

    0.29 0.22 0.32 &"

    &3 0.230.33

    0.65

    0.31 0.23 0.34 &.

    &32 0.24 0.35 0.75

    0.33 0.24 0.36 &:2

    &34 0.24 0.37 &::

    &h"ar str"ss t%

    100A

    100A

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    0.35 0.25 0.38 &64

    &3" 0.25 0.39 1.00

    0.37 0.250.4

    1.08

    &3: 0.260.41

    1.16

    0.39 0.26 0.42 1.25

    &4 0.26 0.43 1.33

    0.41 0.27 0.44 1.41

    &42 0.27 0.45 1.50

    0.43 0.27 0.46 1.63

    &44 0.28 0.46 1.64

    0.45 0.28 0.47 1.75

    &4" 0.28 0.48 1.88

    0.47 0.29 0.49 2.00

    &4: 0.29 0.50 2.13

    0.49 0.29 0.51 2.25

    &5 0.30

    0.51 0.30

    &52 0.30

    0.53 0.30

    &54 0.30

    0.55 0.31

    &5" 0.31

    0.57 0.31

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    &5: 0.31

    0.59 0.31

    &" 0.32

    0.61 0.32

    &"2 0.32

    0.63 0.32

    &"4 0.32

    0.650.33

    &"" 0.33

    0.670.33

    &":0.33

    0.690.33

    &.0.34

    0.710.34

    &.20.34

    0.730.34

    &.40.34

    0.75 0.35

    &." 0.35

    0.77 0.35

    &.: 0.35

    0.79 0.35

    &: 0.35

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    0.81 0.35

    &:2 0.36

    0.83 0.36

    &:4 0.36

    0.85 0.36

    &:" 0.36

    0.87 0.36

    &:: 0.37

    0.89 0.37

    &6 0.37

    0.91 0.37

    &62 0.37

    0.93 0.37

    &64 0.38

    0.95 0.38

    &6" 0.38

    0.97 0.38

    &6: 0.38

    &66 0.38

    1.00 0.39

    1&1 0.39

    1.02 0.39

    1&3 0.39

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    1.04 0.39

    1&5 0.39

    1.06 0.39

    1&. 0.39

    1.080.4

    1&60.4

    1.100.4

    1&110.4

    1.12 0.4

    1&130.4

    1.140.4

    1&150.4

    1.160.41

    1&1.0.41

    1.180.41

    1&160.41

    1.200.41

    1&210.41

    1.220.41

    1&23 0.41

    1.240.41

    1.25 0.42

    1.26 0.42

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    1.27 0.42

    1.28 0.42

    1.29 0.42

    1.30 0.42

    1.31 0.42

    1.32 0.42

    1.33 0.43

    1.34 0.43

    1.35 0.43

    1.36 0.43

    1.37 0.43

    1.38 0.43

    1.39 0.43

    1.40 0.43

    1.41 0.44

    1.42 0.44

    1.43 0.44

    1.44 0.44

    1.45 0.44

    1.46 0.44

    1.47 0.44

    1.48 0.44

    1.49 0.44

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    1.50 0.45

    1.51 0.45

    1.52 0.45

    1.53 0.45

    1.54 0.45

    1.55 0.45

    1.56 0.45

    1.57 0.45

    1.58 0.45

    1.59 0.45

    1.60 0.45

    1.61 0.45

    1.62 0.45

    1.63 0.46

    1.64 0.46

    1.65 0.46

    1.66 0.46

    1.67 0.46

    1.68 0.46

    1.69 0.46

    1.70 0.46

    1.71 0.46

    1.72 0.46

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    1.73 0.46

    1.74 0.46

    1.75 0.47

    1.76 0.47

    1.77 0.47

    1.78 0.47

    1.79 0.47

    1.80 0.47

    1.81 0.47

    1.82 0.47

    1.83 0.47

    1.84 0.47

    1.85 0.47

    1.86 0.47

    1.87 0.47

    1.88 0.48

    1.89 0.48

    1.90 0.48

    1.91 0.48

    1.92 0.48

    1.93 0.48

    1.94 0.48

    1.95 0.48

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    1.96 0.48

    1.97 0.48

    1.98 0.48

    1.99 0.48

    2.00 0.49

    2.01 0.49

    2.02 0.49

    2.03 0.49

    2.04 0.49

    2.05 0.49

    2.06 0.49

    2.07 0.49

    2.08 0.49

    2.09 0.49

    2.10 0.49

    2.11 0.49

    2.12 0.49

    2.13 0.50

    2.14 0.50

    2.15 0.50

    2.16 0.50

    2.17 0.50

    2.18 0.50

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    2.19 0.50

    2.20 0.50

    2.21 0.50

    2.22 0.50

    2.23 0.50

    2.24 0.50

    2.25 0.51

    2.26 0.51

    2.27 0.51

    2.28 0.51

    2.29 0.51

    2.30 0.51

    2.31 0.51

    2.32 0.51

    2.33 0.51

    2.34 0.51

    2.35 0.51

    2.36 0.51

    2.37 0.51

    2.38 0.51

    2.39 0.51

    2.40 0.51

    2.41 0.51

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    2.42 0.51

    2.43 0.51

    2.44 0.51

    2.45 0.51

    2.46 0.51

    2.47 0.51

    2.48 0.51

    2.49 0.51

    2.50 0.51

    2.51 0.51

    2.52 0.51

    2.53 0.51

    2.54 0.51

    2.55 0.51

    2.56 0.51

    2.57 0.51

    2.58 0.51

    2.59 0.51

    2.60 0.51

    2.61 0.51

    2.62 0.51

    2.63 0.51

    2.64 0.51

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    2.65 0.51

    2.66 0.51

    2.67 0.51

    2.68 0.51

    2.69 0.51

    2.70 0.51

    2.71 0.51

    2.72 0.51

    2.73 0.51

    2.74 0.51

    2.75 0.51

    2.76 0.51

    2.77 0.51

    2.78 0.51

    2.79 0.51

    2.80 0.51

    2.81 0.51

    2.82 0.51

    2.83 0.51

    2.84 0.51

    2.85 0.51

    2.86 0.51

    2.87 0.51

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    2.88 0.51

    2.89 0.51

    2.90 0.51

    2.91 0.51

    2.92 0.51

    2.93 0.51

    2.94 0.51

    2.95 0.51

    2.96 0.51

    2.97 0.51

    2.98 0.51

    2.99 0.51

    3.00 0.51

    3.01 0.51

    3.02 0.51

    3.03 0.51

    3.04 0.51

    3.05 0.51

    3.06 0.51

    3.07 0.51

    3.08 0.51

    3.09 0.51

    3.10 0.51

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    3.11 0.51

    3.12 0.51

    3.13 0.51

    3.14 0.51

    3.15 0.51

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    10 15 20 25 30 35 40 45 50

    0.6 0.8 0.9 1 1.1 1.2 1.3 1.4

    Dee%o'ment !en)t in tenion

    B:an .&. ars -..&.. ars

    0.6 58 0.96 60

    0.8 44 1.28 45

    0.9 39 1.44 40

    1 35 1.6 36

    1.1 32 1.76 33

    1.2 29 1.92 30

    0o'#$#cat#on

    $actor"

    2.0

    1.3 27 2.08 28

    1.4 25 2.24 26

    1.4

    1.2

    0.8

    @ermii%e #on- tre &%e-

    in concrete (IS 456=2000*

    d (N * mm2) Dd0 /d d (N * mm2) Dd0 /d

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    .

    0.0

    (,/mm2) (,/mm2) (,/mm2)

    3.0 300 2.5 250

    5.0 500 4.0 400 0.6 60

    7.0 700 5.0 500 0.8 80

    8.5 850 6.0 600 0.9 90

    10.0 1000 8.0 800 1.0 100

    11.5 1150 9.0 900 1.1 110

    13.0 1300 10.0 1000 1.2 120

    14.5 1450 11.0 1100 1.3 130

    16.0 1600

    12.0 1200

    1.4 140

    @ermii%e tre in concrete (IS 456=2000*

    B"rmsson str"ss n com*r"sson (,/mm2)B"rmssb:" str"ss n bon' (A"ra") $or*:an bars n t"nton (,/mm2)

    ending %% r"ct (%%)

    /m2 /m2n D/m2

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    0.4 0.8 1.2 1.6

    B"rc"nta" o$ t"nson r"n$orc"m"nt

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    2.4 2.8

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    "A!?ES OF DESIGN CONSANS

    ra'" o$ concr"t" 15 20 25 30 35 40 ra'" o$ concr"t

    o':ar Rato 18.67 13.33 10.98 9.33 8.11 7.18

    5 7 8.5 10 11.5 13

    93.33 93.33 93.33 93.33 93.33 93.33

    0.4 0.4 0.4 0.4 0.4 0.4

    0.867 0.867 0.867 0.867 0.867 0.867

    0.867 1.214 1.474 1.734 1.994 2.254

    0.714 1 1.214 1.429 1.643 1.857

    0.329 0.329 0.329 0.329 0.329 0.329 15

    0.89 0.89 0.89 0.89 0.89 0.89 20

    0.732 1.025 1.244 1.464 1.684 1.903 25

    0.433 0.606 0.736 0.866 0.997 1.127 30

    0.289 0.289 0.289 0.289 0.289 0.289 35

    0.904 0.904 0.904 0.904 0.904 0.904 40

    0.653 0.914 1.11 1.306 1.502 1.698 45

    0.314 0.44 0.534 0.628 0.722 0.816 50

    0.253 0.253 0.253 0.253 0.253 0.253

    0.916 0.916 0.916 0.914 0.916 0.916

    0.579 0.811 0.985 1.159 1.332 1.506

    0.23 0.322 0.391 0.46 0.53 0.599

    b'15 20 25 30 35 40

    d

    (N * mm2)

    %%

    N*mm2

    m %%

    (a) st0

    14N*mm2

    (Ae 25)

    k%

    %

    8%

    ra'" o$

    concr"t">%(B)

    (b) st0

    16N*mm2

    k%

    %

    8%

    >%(B)

    (c ) st0

    23N*mm2

    (Ae 415)

    k%

    %

    8%

    >%(B)

    (') st0

    2.5N*mm2(Ae 5)

    k%

    %

    8%

    >%(B)

    @ermii%e e&r tre &%ein concrete (IS 456=2000*

    1's B"rmssb:" sh"ar str"ss in %on%rete t# N*mm

    2

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    0.18 0.18 0.19 0.2 0.2 0.2

    0.25 0.22 0.22 0.23 0.23 0.23 0.23

    0.50 0.29 0.30 0.31 0.31 0.31 0.32 10

    0.75 0.34 0.35 0.36 0.37 0.37 0.38 15

    1.00 0.37 0.39 0.40 0.41 0.42 0.42 20

    1.25 0.40 0.42 0.44 0.45 0.45 0.46 25

    1.50 0.42 0.45 0.46 0.48 0.49 0.49 30

    1.75 0.44 0.47 0.49 0.50 0.52 0.52 35

    2.00 0.44 0.49 0.51 0.53 0.54 0.55 40

    2.25 0.44 0.51 0.53 0.55 0.56 0.57 45

    2.50 0.44 0.51 0.55 0.57 0.58 0.60 50

    2.75 0.44 0.51 0.56 0.58 0.60 0.62

    3& and ao#e 0.44 0.51 0.57 0.6 0.62 0.63

    rade of %on%rete 15 20 25 30 35 40

    1.6 1.8 1.9 2.2 2.3 2.5

    R"$orc"m"nt C

    M-+, M-+, )( )(

    &15 0.18 0.18 &15

    &1" 0.18 0.19 &1:

    &1. 0.18 0.2 &21

    Gr&-e ofconcrete

    E &15

    $&:im/m e&r tre %&m&:

    in concrete (IS 456=2000*

    %&ma-

    &h"ar str"ss t%

    100A

    100A

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    &1: 0.19 0.21 &24

    &16 0.19 0.22 0.27

    &2 0.19 0.23 &3

    &21 0.2 0.24 &32

    &22 0.2 0.25 0.35

    &23 0.2 0.26 &3:

    &24 0.21 0.27 0.41

    0.25 0.21 0.28 &44

    &2" 0.21 0.29 0.47

    0.27 0.22 0.30 &5

    &2: 0.22 0.31 0.55

    0.29 0.22 0.32 &"

    &3 0.230.33

    0.65

    0.31 0.23 0.34 &.

    &32 0.24 0.35 0.75

    0.33 0.24 0.36 &:2

    &34 0.24 0.37 &::

    0.35 0.25 0.38 &64

    &3" 0.25 0.39 1.00

    0.37 0.250.4

    1.08

    &3: 0.260.41

    1.16

    0.39 0.26 0.42 1.25

    &4 0.26 0.43 1.33

    0.41 0.27 0.44 1.41

    &42 0.27 0.45 1.50

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    0.43 0.27 0.46 1.63

    &44 0.28 0.46 1.64

    0.45 0.28 0.47 1.75

    &4" 0.28 0.48 1.88

    0.47 0.29 0.49 2.00

    &4: 0.29 0.50 2.13

    0.49 0.29 0.51 2.25

    &5 0.30

    0.51 0.30

    &52 0.30

    0.53 0.30

    &54 0.30

    0.55 0.31

    &5" 0.31

    0.57 0.31

    &5: 0.31

    0.59 0.31

    &" 0.32

    0.61 0.32

    &"2 0.32

    0.63 0.32

    &"4 0.32

    0.650.33

    &""0.33

    0.67 0.33

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    &":0.33

    0.690.33

    &.

    0.34

    0.710.34

    &.20.34

    0.730.34

    &.40.34

    0.75 0.35

    &." 0.35

    0.77 0.35

    &.: 0.35

    0.79 0.35

    &: 0.35

    0.81 0.35

    &:2 0.36

    0.83 0.36

    &:4 0.36

    0.85 0.36

    &:" 0.36

    0.87 0.36

    &:: 0.37

    0.89 0.37

    &6 0.37

    0.91 0.37

    &62 0.37

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    0.93 0.37

    &64 0.38

    0.95 0.38

    &6" 0.38

    0.97 0.38

    &6: 0.38

    &66 0.38

    1.00 0.39

    1&1 0.39

    1.02 0.39

    1&3 0.39

    1.04 0.39

    1&5 0.39

    1.06 0.39

    1&. 0.39

    1.080.4

    1&60.4

    1.100.4

    1&110.4

    1.120.4

    1&130.4

    1.140.4

    1&150.4

    1.160.41

    1&1. 0.41

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    1.180.41

    1&160.41

    1.20

    0.41

    1&210.41

    1.220.41

    1&230.41

    1.240.41

    1.25 0.42

    1.26 0.42

    1.27 0.42

    1.28 0.42

    1.29 0.42

    1.30 0.42

    1.31 0.42

    1.32 0.42

    1.33 0.43

    1.34 0.43

    1.35 0.43

    1.36 0.43

    1.37 0.43

    1.38 0.43

    1.39 0.43

    1.40 0.43

    1.41 0.44

    1.42 0.44

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    1.43 0.44

    1.44 0.44

    1.45 0.44

    1.46 0.44

    1.47 0.44

    1.48 0.44

    1.49 0.44

    1.50 0.45

    1.51 0.45

    1.52 0.45

    1.53 0.45

    1.54 0.45

    1.55 0.45

    1.56 0.45

    1.57 0.45

    1.58 0.45

    1.59 0.45

    1.60 0.45

    1.61 0.45

    1.62 0.45

    1.63 0.46

    1.64 0.46

    1.65 0.46

    1.66 0.46

    1.67 0.46

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    1.68 0.46

    1.69 0.46

    1.70 0.46

    1.71 0.46

    1.72 0.46

    1.73 0.46

    1.74 0.46

    1.75 0.47

    1.76 0.47

    1.77 0.47

    1.78 0.47

    1.79 0.47

    1.80 0.47

    1.81 0.47

    1.82 0.47

    1.83 0.47

    1.84 0.47

    1.85 0.47

    1.86 0.47

    1.87 0.47

    1.88 0.48

    1.89 0.48

    1.90 0.48

    1.91 0.48

    1.92 0.48

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    1.93 0.48

    1.94 0.48

    1.95 0.48

    1.96 0.48

    1.97 0.48

    1.98 0.48

    1.99 0.48

    2.00 0.49

    2.01 0.49

    2.02 0.49

    2.03 0.49

    2.04 0.49

    2.05 0.49

    2.06 0.49

    2.07 0.49

    2.08 0.49

    2.09 0.49

    2.10 0.49

    2.11 0.49

    2.12 0.49

    2.13 0.50

    2.14 0.50

    2.15 0.50

    2.16 0.50

    2.17 0.50

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    2.18 0.50

    2.19 0.50

    2.20 0.50

    2.21 0.50

    2.22 0.50

    2.23 0.50

    2.24 0.50

    2.25 0.51

    2.26 0.51

    2.27 0.51

    2.28 0.51

    2.29 0.51

    2.30 0.51

    2.31 0.51

    2.32 0.51

    2.33 0.51

    2.34 0.51

    2.35 0.51

    2.36 0.51

    2.37 0.51

    2.38 0.51

    2.39 0.51

    2.40 0.51

    2.41 0.51

    2.42 0.51

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    2.43 0.51

    2.44 0.51

    2.45 0.51

    2.46 0.51

    2.47 0.51

    2.48 0.51

    2.49 0.51

    2.50 0.51

    2.51 0.51

    2.52 0.51

    2.53 0.51

    2.54 0.51

    2.55 0.51

    2.56 0.51

    2.57 0.51

    2.58 0.51

    2.59 0.51

    2.60 0.51

    2.61 0.51

    2.62 0.51

    2.63 0.51

    2.64 0.51

    2.65 0.51

    2.66 0.51

    2.67 0.51

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    2.68 0.51

    2.69 0.51

    2.70 0.51

    2.71 0.51

    2.72 0.51

    2.73 0.51

    2.74 0.51

    2.75 0.51

    2.76 0.51

    2.77 0.51

    2.78 0.51

    2.79 0.51

    2.80 0.51

    2.81 0.51

    2.82 0.51

    2.83 0.51

    2.84 0.51

    2.85 0.51

    2.86 0.51

    2.87 0.51

    2.88 0.51

    2.89 0.51

    2.90 0.51

    2.91 0.51

    2.92 0.51

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    2.93 0.51

    2.94 0.51

    2.95 0.51

    2.96 0.51

    2.97 0.51

    2.98 0.51

    2.99 0.51

    3.00 0.51

    3.01 0.51

    3.02 0.51

    3.03 0.51

    3.04 0.51

    3.05 0.51

    3.06 0.51

    3.07 0.51

    3.08 0.51

    3.09 0.51

    3.10 0.51

    3.11 0.51

    3.12 0.51

    3.13 0.51

    3.14 0.51

    3.15 0.51

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    10 15 20 25 30 35 40 45 50

    0.6 0.8 0.9 1 1.1 1.2 1.3 1.4

    Dee%o'ment !en)t in tenion

    B:an .&. ars -..&.. ars

    0.6 58 0.96 60

    0.8 44 1.28 45

    0.9 39 1.44 40

    1 35 1.6 36

    1.1 32 1.76 33

    1.2 29 1.92 30

    1.3 27 2.08 28

    1.4 25 2.24 26

    @ermii%e #on- tre &%e-

    in concrete (IS 456=2000*

    d

    (N * mm2) Dd0 /

    d

    d (N * mm2) D

    d0 /

    d

    @ermii%e tre in concrete (IS 456=2000*

    B"rmsson str"ss n com*r"sson (,/mm2) B"rmssb:" str"ss n bon' (A"ra") $or

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    (,/mm2) (,/mm2) (,/mm2)

    3.0 300 2.5 250

    5.0 500 4.0 400 0.6 60

    7.0 700 5.0 500 0.8 80

    8.5 850 6.0 600 0.9 90

    10.0 1000 8.0 800 1.0 100

    11.5 1150 9.0 900 1.1 110

    13.0 1300 10.0 1000 1.2 120

    14.5 1450 11.0 1100 1.3 130

    16.0 1600

    12.0 1200

    1.4 140

    *:an bars n t"nton (,/mm2)

    ending %% r"ct (%%)

    /m2 /m2n D/m2

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