混凝土结构设计规范 GB50010-2002

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    GB

    50010-2002

    UDC

    P GB 50010 2002

    Code for design of concrete structures

    2002 02 20 2002 04 01

    1

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    Code for design of concrete structures

    GB 50010-2002

    :

    :

    :2 0 0 2 4 1

    2002

    2

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    [2002]47

    (

    [1997]108 )

    GB 50010-2002 2002 4 1 3.1.8 3.2.1 4.1.3 4.1.4 4.2.2 4.2.3 6.1.1 9.2.1 9.5.1 10.9.3

    10.9.8 11.1.2 11.1.4 11.3.1 11.3.6 11.4.12 11.7.11

    GBJ10-89 2002 12 31

    2002 2 20

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    [1997]108

    :

    30

    (:100013 E-mail:[email protected])

    :

    :

    :

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    1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . 8

    2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . 9

    2.1 ....................................................................................................... 9

    2.2 ......................................................................................................10

    3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . 15

    3.1 ..............................................................................................15

    3.2 ................................................................16

    3.3 ................................................................17

    3.4 ..........................................................................................18

    4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . 21

    4.1 ..................................................................................................21

    4.2 ......................................................................................................22

    5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . 28

    5.1 ..............................................................................................28

    5.2 ...................................................................................29

    5.3 .......................................................................................30

    6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

    6.1 ..............................................................................................32

    6.2 ...............................................................................37

    7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42

    7.1 ............................................................42

    7.2 ........................................................................44

    7.3 ........................................................................48

    7.4 ........................................................................59

    7.5 ...............................................................................61

    7.6 ...........................................................................68

    7.7 ...............................................................................75

    5

    @

    7.8 ...........................................................................79

    7.9 ...............................................................

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    8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    8.1 ........................................................

    8.2 ................................................

    9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9.1 ...............................................................

    9.2 ........................................................

    9.3 ...........................................................

    9.4 ...........................................................

    9.5 .................................

    9.6 .............................

    10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    10.1 .........................................................................

    10.2 .........................................................................

    10.3 .........................................................................

    10.4 .......................................................

    10.5 .........................................................................

    10.6 ..................................................

    10.7 ..........................................................

    10.8 ...............................................................

    10.9 ......................................................

    10.10 ................................................

    11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    11.1 .......................................................

    11.2 ...............................................................

    11.3 .............................................................

    11.4 ..................................................

    11.5 ..........................................................

    11.6 .......................................

    11.7 .............................................................

    11.8 .......................................

    6

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    A . . . . . . . . . . . . . . . . . . . . . . . . . . A.1 ........................................................

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    A.2 ........................................................

    A.3 ........................................................

    A.4 .......................................................

    A.5 .............................................................. B

    C . . . . . . . . . . . . . . . .

    C.1 ................................................................

    C.2 - ..............................................

    C.3 ...............................................................

    C.4 ............................................

    D . .

    E . . . . . . . . . . . . . . . . . . . . . . .

    F . . . . . . . . . . . . .

    G . . . . . .

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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    1

    1.0.1

    1.0.2

    1.0.3

    8

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    2

    2.1

    2.1.1 concrete structure

    2.1.2 plain concrete structure

    2.1.3 reinforced concrete structure

    2.1.4 prestressed concrete structure

    2.1.5 pretensioned prestressed concrete structure

    2.1.6 post-tensioned prestressed concrete st ructure

    2.1.7 cast-in-situ concrete structure

    2.1.8 prefabricated concrete structure

    2.1.9 assembled monolithic concrete structure

    2.1.10 frame structure

    2.1.11 shearwall structure

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    2.1.12 - frame-shearwall structure

    2.1.13 deep flexural member

    5 2.1.14 deep beam

    2 2.5

    2.1.15 ordinary steel bar

    2.1.16 prestressing tendon

    2.1.17 degree of reliability

    2.1.18 safety class

    2.1.19 design working life

    2.1.20 load effect

    2.1.21 load effect combination

    2.1.22 fundamental combination

    2.1.23 characteristic combination

    2.1.24 quasi-permanent combination

    2.2

    2.2.1

    10

    @

    Ec

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    f

    cE

    Es

    C20 20N/mm2

    f cu 150mm fcu k 150mm

    fck fc

    ftk ft

    f ck f tk

    fyk fptk

    fy f y

    fpy fpy

    2.2.2

    N

    Nk Nq

    Np

    Np0

    Nu0

    Nux Nuy x y

    M

    Mk Mq

    Mu

    Mcr

    T

    V

    Vcs

    Fl

    ck cq

    pc

    tp cp

    11

    @

    min,max, c

    f

    c

    f

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    s p

    sk

    con

    p0 pe

    l l

    wmax

    2.2.3

    a

    s a s

    p ap

    b T I

    bf b f T I

    d

    c

    e e

    e0

    ea

    ei

    h

    h0

    hf h f T I

    i

    rc

    la

    l0

    s

    x

    12

    @

    y0 yn

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    z

    A

    A0

    An As A s

    Ap Ap

    Asvl Ast1

    Astl

    Asv Ash

    Asb Apb

    Al

    Acor

    B

    W

    W0

    Wn

    Wt

    I

    I0

    In

    2.2.4

    1

    E

    c

    1 ()

    l

    13

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    sv sh

    v

    14

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    3

    3.1

    3.1.1

    3.1.2

    :

    1 :

    2 :

    3.1.3

    :

    1 :()

    2 :

    3 :

    4 :

    3.1.4 ()

    15

    @

    1.5

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    GB

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    GB50011

    3.1.5 9

    10 A

    3.1.6

    3.1.7

    GB50068

    3.1.8

    3.2

    3.2.1

    3.2.1

    3.2.1

    3.2.2

    3.2.3

    :

    S0 R (3.2.3-1)

    R=R(fc,fs,k, ) (3.2.3-2)

    0 : 100

    1.1 50

    1.0 5 0.9

    16

    @

    S

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    50010-2002

    GB50009 GB50011

    R

    RER( )

    fc fs

    k

    (3.2.3-1) 0S (N M V T )

    6.1.1

    3.3

    3.3.1

    :

    S C (3.3.1)

    S

    C

    GB50009

    3.3.2

    3.3.2

    3.3.2

    l0 500

    l0 600

    l0 7m

    7m l0 9m

    l0 9m

    l0 200(l0/250)l0 250(l0 300)

    l0 300(l0 400)

    1 l0

    2

    3

    4 l0 2

    17

    @

    3.3.3

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    :

    3.3.4

    3.3.4 3.4.1 3.3.4

    Wlim

    3.3.4

    lim(mm) lim(mm)

    0.3(0.4) 0.2

    0.2

    0.2

    1

    2 60

    3

    0.2mm 0.3mm

    4

    5

    8

    6

    7

    8

    3.4

    3.4.1 3.4.1

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    3.4.1

    a

    b

    JGJ 24

    3.4.2 50 3.4.2

    3.4.2

    (kg/m3)

    ( )

    (kg m3)

    0.65 225 C20 1.0

    a 0.60 250 C25 0.3 3.0

    b 0.55 275 C30 0.2 3.0

    0.50 300 C30 0.1 3.0

    1 2 0.06 300kg m3

    3 25kg m3

    4

    5

    6

    3.4.3 100 :

    1 C30

    C40

    2 0.06%

    3

    3.0kg/m3

    19

    @

    4 9.2.1 40%

    5

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    3.4.4 100

    3.4.5

    3.4.6

    3.4.7

    3.4.8

    20

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    4

    4.1

    4.1.1

    150mm 28d

    95%

    4.1.2 C15 HRB335

    C20 HRB400 RRB400

    C20

    C30

    C40

    :

    4.1.3 fck tk 4.1.3 f

    4.1.3 (N mm2)

    C15 C20 C25 C30 C35 C40 C45 C50 C55 G60 C65 C70 C75 C80

    fck 10.0 13.4 16.7 20.1 23.4 26.8 29.6 32.4 35.5 38.5 41.5 44.5 47.4 50.2

    ftk 1.27 1.54 1.78 2.01 2.20 2.39 2.51 2.64 2.74 2.85 2.93 2.99 3.05 3.11

    4.1.4 fc ft 4.1.4

    4.1.4 (N mm2)

    C15 C20 C25 C30 C35 C40 C45 C50 C55 C60 C65 C70 C75 C80

    fc 7.2 9.6 11.9 14.3 16.7 19.1 21.1 23.1 25.3 27.5 29.7 31.8 33.8 35.9

    ft 0.91 1.10 1.27 1.43 1.57 1.71 1.80 1.89 1.96 2.04 2.09 2.14 2.18 2.22

    1 300mm

    0.8 ( )

    2

    4.1.5 Ec 4.1.5

    21

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    4.1.5 ( 104N mm

    2)

    C15 C20 C25 C30 C35 C40 C45 C50 C55 C60 C65 C70 C75 C80

    Ec 2.20 2.55 2.80 3.00 3.15 3.25 3.35 3.45 3.55 3.60 3.65 3.70 3.75 3.80

    4.1.6 ffc ft 4.1.4

    f

    4.1.6 fc

    :fc

    f

    c

    f

    cf

    c

    max,

    min,

    = 4.1.6

    fc min, fc max,

    4.1.6

    f

    c fc 0.2 0.2

    f

    c 0.3 0.3 fc 0.4 0.4

    f

    c 0.5 fc 0.5

    0.74 0.80 0.86 0.93 1.0

    60

    20%

    4.1.7 E 4.1.7 fc

    4.1.7 ( 104N mm

    2)

    C20 C25 C30 C35 C40 C45 C50 C55 C60 C65 C70 C75 C80

    f

    cE 1.1 1.2 1.3 1.4 1.5 1.55 1.6 1.65 1.7 1.75 1.8 1.85 1.9

    4.1.8 0 100 c 1 10-5/

    c 0.2

    Gc 4.1.5 0.4

    4.2

    4.2.1 :

    22

    @

    1 HRB400 HRB335 HPB235

    RRB400

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    2

    :1

    2 HRB400 HRB335 GB1499

    HRB400 HRB335 HPB235 GB13013 Q235 RRB400

    GB13014 KL400

    3 GB/T5223

    4

    4.2.2 95%

    fyk

    fptk

    4.2.2-1

    4.2.2-2

    B

    4.2.2-1 (N mm2) d(mm) fyk

    HPB235(Q235) 8 20 235

    HRB335(20MnSi) 6 50 335

    HRB400(20MnSiV 20MnSiNb 20MnTi) 6 50 400

    RRB400(K20MnSi) R 8 40 400

    1 d

    2 4mm

    23

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    4.2.2-2 (N mm2)

    d(mm) fptk

    8.6 10.8 1860 1720 15701x3

    12.9 1720 1570

    9.5 11.1 12.7 1860

    1 7

    15.2 1860 1720

    4 5 1770 1670 1570

    6 1670 1570

    p

    H7 8 9 1570

    i 5 7 1570

    40Si2Mn 6

    48Si2Mn 8.2

    45Si2Cr

    ht

    10

    1470

    1 d GB

    T5224 Dg d

    2 d 4 9mm d 4 8mm

    4.2.3 fy f y 4.2.3-1

    fpy f y 4.2.3-2 p

    4.2.3-1 (N mm2)

    fy yf

    HPB 235(Q235) 210 210

    HRB 335(20MnSi) 300 300

    HRB 400(20MnSiV 20MnSiNb 20MnTi) 360 360

    400(K20MnSi) R 360 360

    300N mm2

    300N/mm2

    24

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    4.2.3-2 (N mm2)

    fptk fpy pyf

    1860 1320

    1720 12201 3

    1570 1110

    390

    1860 1320

    1 7

    S

    1720 1220390

    1770 1250

    1670 1180

    P

    H1570 1110

    410

    I 1570 1110 410

    40Si2Mn

    48Si2Mn

    45Si2Cr

    HT 1470 1040 400

    4.2.2-2

    4.2.4 Es 4.2.4

    4.2.4 ( 105N mm

    2)

    Es

    HPB 235 2.1

    HRB 335

    HRB 400

    RRB 400

    2.0( ) 2.05

    1.95

    4.2.5 f fy f

    f

    py

    f

    s

    f

    p 4.2.5-1 4.2.5-2

    fs :

    f

    s

    fsf

    s

    max,

    min,

    = (4.2.5-1)

    fs min,f

    s max,

    fp :

    f

    p

    f

    pf

    p

    max,

    min,

    = (4.2.5-2)

    25

    @

    f

    p min,

    f

    p max,

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    4.2.5-1 (N mm2)

    f

    yf

    HPB 235 HRB 335 HRB 400

    1.0

    f

    s 0.6 160

    0.6f

    s 0.4 155

    0.4f

    s 0 150

    0f

    s 0.1 145 165 165

    0.1f

    s 0.2 140 155 155

    0.2f

    s 0.3 130 150 150

    0.3f

    s 0.4 120 135 145

    0.4f

    s 0.5 105 125 130

    0.5f

    s 0.6 105 115

    0.6f

    s 0.7 85 95

    0.7f

    s 0.8 65 70

    0.8f

    s 0.9 40 45

    1

    0.8

    2 RRB400

    4.2.5-2 (N mm

    2

    )f

    py

    0.7f

    p 0.8 0.8f

    p 0.9

    fptk=1770 1670 210 140

    fptk 1570 200 130

    fptk=1570 180 120

    120 105

    1 f

    p 0.9

    26

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    2

    27

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    5

    5.1

    5.1.1

    ()()

    5.1.2

    5.1.3

    5.1.4 :

    1

    2

    3

    5.1.5

    :

    5.1.6

    28

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    5.2

    5.2.1

    5.2.2

    :

    1

    2

    3

    5.2.3 :

    1

    2

    3

    4

    5.2.4 :

    1 4.1.5

    2

    3 T

    4

    5

    5.2.5

    5.2.6

    29

    @

    5.2.7

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    5.2.8

    C

    5.3

    5.3.1

    -

    5.3.2

    5.3.3

    5.3.4

    :

    1

    2

    3

    - C

    4

    30

    @

    5

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    5.3.5

    5.3.6

    31

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    6

    6.1

    6.1.1

    1.0

    1.2 1.0

    6.1.2 HRB400

    HRB335 RRB400

    6.1.3 con 6.1.3

    0.4fptk

    6.1.3 0.05fptk:

    1

    2

    6.1.3

    0.75fptk 0.75fptk

    0.70fptk 0.65fptk

    6.1.4

    75%

    6.1.5

    :

    1

    32

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    0

    0

    00

    0

    0y

    I

    eN

    A

    N ppppc = (6.1.5-1)

    pcElconpe

    = (6.1.5-2)

    lconp =0 (6.1.5-3)

    2

    n

    n

    n

    n

    pnp

    n

    p

    pc yI

    My

    I

    eN

    A

    N2 (6.1.5-4)

    lconpe = (6.1.5-5)

    pcElconp +=0 (6.1.5-6)

    An

    A0 :

    I0 In

    ep0 epn

    6.1.6

    y0 yn

    l 6.2.1 6.2.7

    E : E=Es/Ec Es

    4.2.4 Ec 4.1.5

    Np0 Np

    6.1.6

    33

    @

    M2 N

    6.1.7

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    :1 (6.1.5-1) (6.1.5-4)

    (6.1.5-2) (6.1.5-6) pc pc

    2

    6.1.6 ( 6.1.6)

    :

    1

    slslppppp AAAAN += 55000 (6.1.6-1)

    slslpppp

    sslsslpppppp

    pAAAA

    yAyAyAyAe

    +

    =

    5500

    5500

    0

    (6.1.6-2)

    2

    slslppeppep AAAAN += 55 (6.1.6-3)

    slslppeppe

    snslsnslpnppepnppe

    pnAAAA

    yAyAyAyAe

    +

    +=

    55

    55

    (6.1.6-4)

    p0 p0

    pe pe

    Ap A p

    As A s

    yp y p

    ys y s

    l5 l5

    6.2.5

    ypn y pn ysn y sn

    :(6.1.6-1)(6.1.6-4) A p=0 l5=0

    34

    @

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    6.1.7

    :1 M2 :

    12 MMM r = (6.1.7-1)

    pnpeNM =1 (6.1.7-2)

    Np (6.1.63)

    epn

    (6.1.6-4)

    Ml N

    Mr N

    2

    1.2 1.0

    3

    1.0

    6.1.8 9.5

    0.3

    10% >0.3

    7

    6.1.9 ltr:

    df

    altk

    pe

    ur =

    (6.1.9)

    pe

    d B

    9.3.1

    f tk f cu

    4.1.3

    35

    @

    ltr 0.25ltr

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    6.1.10

    fpy la

    9.3.1 6.1.11

    ()

    ( 6.1.11):

    ct tkf (6.1.11-1)

    ct 0.8 (6.1.11-2)tkf

    :

    cc =ct00 W

    M

    A

    N kkpc

    + 6.1.11-3

    cc ct

    f tk f ck f cu

    4.1.3

    Nk Mk

    W0

    36

    @

    6.1.12

    :

    ct 2 (6.1.12-1)tkf

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    cc 0.8 (6.1.12-2)tkf

    ct cc 6.1.11

    6.1.13 :

    1 (A s+Ap)/A 0.2% A p A

    2

    ct=2f tk A s/A 0.4% f tk< ct

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    6.2.1 (N mm2)

    l1

    6.2.2

    6.2.2

    6.2.3

    6.2.4

    l2

    l3 2 t

    0.4

    ptk

    con

    f

    0.5 con

    =1

    0.9

    con 0.7fptk

    0.125

    ptk

    con

    f

    0.5 con

    0.7fptk con 0.8fptk

    0.2ptk

    con

    f0.575 con

    l4

    0.05 con

    0.035 con

    l5 6.2.5

    d 3m

    l6 30

    1 t ( )

    2 1.03 con

    1.05 con 2min con

    3 con fptk 0.5

    6.2.2 l1

    :

    38

    @

    sl Ela=1 (6.2.2)

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    (mm) 6.2.2

    l (mm)

    6.2.2 (mm)

    A

    1() 1

    () 5

    5

    6 8

    1

    2

    1mm

    6.2.3

    l1

    lf

    6.2.4

    lf l1

    D

    6.2.4 l2( 6.2.4)

    :

    =

    +

    kxconl

    e

    112 (6.2.4-1)

    ( + ) 0.2 l2 :

    conl kx )(2 += (6.2.4-2)

    x (m)

    (rad)

    6.2.4

    6.2.4

    39

    @

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    6.2.4

    0.0015 0.25

    0.0010 0.30

    0.0014 0.55

    1

    2

    6.2.5 l5

    l5 :

    1

    151

    28045

    5 +

    +

    = cu

    pc

    l

    f(6.2.5-1)

    +

    +

    =151

    28045

    5

    cu

    pc

    l

    f(6.2.5-2)

    151

    28035

    5 +

    +

    = cu

    pc

    l

    f(6.2.5-3)

    40

    @

    +

    +

    =151

    28035

    5

    cu

    pc

    l

    f(6.2.5-4)

    pc pc

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    f cu

    =(Ap+As)/A0 =(A p+A s)/A0

    =(Ap+As)/An =(A p+A s)/An

    pc pc

    6.1.5 6.1.6 (

    ) l5 l5 pc pc

    0.5f cu pc (6.2.5-2) (6.2.5-4) pc

    pc pc

    40% l5 l5 30%

    2

    E

    :

    6.2.6

    ()

    con () E pci pci

    6.2.7 6.2.7

    6.2.7

    () l1+ l2+ l3+ l4 l1 l2

    () l5 l4+ l5+ l6

    l4

    41

    @

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    7

    7.1

    7.1.1 7.1 7.4

    5 10 10.7

    7.1.2 :

    1

    2

    3 :

    c 0

    =

    n

    c

    cc f0

    11

    (7.1.2-1)

    0< c cu

    cc f= (7.1.2-2)

    c c

    fc 4.1.4

    0 fc 0 0.002

    0.002

    cu (7.1.2-5)

    cu 0.0033 0.0033 0

    fcu k 4.1.1

    n n 2.0 2.0

    4

    0.01

    7.1.3

    42

    @

    x

    1 C50 1 0.8

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    C80 1 0.74

    fc 1

    C50 1 1.0 C80 1 0.94

    7.1.4

    b :

    1

    cus

    y

    b

    E

    f

    +

    =

    1

    1 (7.1.4-1)

    cus

    y

    cu

    b

    E

    f

    ++

    =002.0

    1

    1 (7.1.4-2)

    2

    cus

    ppy

    cu

    b

    E

    f

    0

    1

    002.01

    ++

    = (7.1.4-3)

    b : b=xb/h0

    xb

    h0 :

    fv 4.2.3-1

    fpy 4.2.32

    Es 4.2.4

    p0

    (6.1.5-3)(6.1.5-6)

    cu (7.1.2-5)

    1 7.1.3

    :

    43

    @

    7.1.5 :

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    1 :

    = 101

    x

    hE icussi

    (7.1.5-1)

    ip

    i

    cuspix

    hE 0

    01 1

    = + (7.1.5-2)

    2 :

    =

    101

    ib

    y

    si h

    xf(7.1.5-3)

    ip

    ib

    ippy

    pih

    xf01

    01

    0

    = + (7.1.5-4)

    3 (7.1.51)(7.1.54):

    yf si fy (7.1.5-5)

    pyip f0 pi fpy (7.1.5-6) si fy si=fy si

    f y si=-f y pi fpy pi=fpy

    pi ( p0i-f py) pi= p0i-f py

    h0i i

    x

    si pi i

    f y f py 4.2.3-1

    4.2.3-2

    p0i i

    (6.1.5-3)(6.1.5-6)

    7.1.6 F

    7.2

    44

    @

    7.2.1 T

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    ( 7.2.1):

    M ssyxc ahAfx

    hbf + 001 ()2

    ( )

    )()( 00 pppyp ahAf (7.2.1-1)

    :

    ppypppysysyc AfAfAfAfbxf ++= )( 01 (7.2.1-2)

    :

    x bh0 (7.2.1-3)

    x 2 (7.2.1-4)a

    M

    1 7.1.3

    fc 4.1.4

    As A s

    Ap A p

    p0

    b T

    h0

    s p

    ( p0-f py) (7.2.1-4)

    s

    45

    @

    7.2.2 T I ( 7.2.2)

    :

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    1

    ppysy AfAf + ppypsysyffc AfAfAfhbf ++ )( 01

    (7.2.2-1)

    b f 2 (7.2.2-1)

    M

    +

    2

    )(2

    0101

    f

    ffcc

    hhhbbf

    xhbxf

    )()()( 000 pppypssy ahAfahAf + (7.2.2-2)

    :

    ppypppysysyffc AfAfAfAfhbbbxf ++=+ )()( 01 (7.2.2-3)

    h f T I

    b f T I 7.2.3

    T I

    (7.2.1-3)(7.2.1-4)

    7.2.3 T I L b f 7.2.3

    46

    @

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    7.2.3 T I L fb

    T I L

    1 l0 l0/3 l0 3 l0 6

    2 () sn b+sn b+sn/2

    fh h0 0.1 b+12 fh

    0.1 fh

    h0 0.05 b+12fh b+b f

    hb+5 f

    h3

    fh

    fh h0 0.05 b+12 fh b b+5 f

    h

    1 b

    2 3

    3 T I L hh fh bh

    3hh 3 2bh(T I )

    bh( L )

    4

    b

    7.2.4 (7.2.13)

    (7.2.1-2)(7.2.2-3)

    x

    7.2.5 (7.2.1-4)

    :

    M )()( sssyspppy aahAfaahAf +

    (7.2.5))()( 0 spppyp aaAf +

    s p

    7.2.6 7.3.7

    7.3.8 (7.3.71) (7.3.7-3)(7.3.8-1)

    N=0 (7.3.7-2) (7.3.7-4)(7.3.82)

    N ei M

    47

    @

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    7.3

    7.3.1 10.3

    ( 7.3.1):

    N 0.9 (7.3.1))( syc AfAf +

    N

    7.3.1

    fc 4.1.4

    A

    A s

    3% (7.3.1) A (A-A s)

    7.3.1

    l0/b 8 10 12 14 16 18 20 22 24 26 28

    l0/d 7 8.5 10.5 12 14 15.5 17 19 21 22.5 24

    l0/i 28 35 42 48 55 62 69 76 83 90 97

    1.00 0.98 0.95 0.92 0.87 0.81 0.75 0.70 0.65 0.60 0.56

    l0/b 30 32 34 36 38 40 42 44 46 48 50

    l0/i 26 28 29.5 31 33 34.5 36.5 38 40 41.5 43

    l0/i 104 111 118 125 132 139 146 153 160 167 174

    0.52 0.48 0.44 0.40 0.36 0.32 0.29 0.26 0.23 0.21 0.19

    : l0 7.3.11 b

    d i

    7.3.2

    10.3 ( 7.3.2):

    48

    @

    N 0.9( ) (7.3.2-1)02 ssysycorc AfAfAf ++

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    s

    AdA sscor

    ss

    1

    0

    = (7.3.2-2)

    fy

    Acor :

    Ass0

    dcor :

    Assl

    s

    : C50

    1.0 C80 0.85

    :1 (7.3.2-1)(7.3.1)

    1.5

    2 7.3.1

    :

    1) l0/d>12

    2) (7.3.2-1)(7.3.1)

    3) Ass0 25%

    7.3.3

    ea 20mm 1/30

    7.3.4 ( 7.3.4):

    N sssyc AAfbxf +1

    ppppyp AAf )( 0 (7.3.4-1)

    Ne )(2

    001 ssyc ahAfx

    hbxf +

    )()( 00 pppyp ahAf (7.3.4-2)

    49

    @

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    ah

    ee i +=

    2

    (7.3.4-3)

    (7.3.4-4)ai eee += 0

    e

    7.3.10

    s p

    ei

    e0 :e0=M/N

    ea 7.3.3

    :

    1 s p :

    1) b s=fy p=fpy

    =x/h0

    2) > b s p 7.1.5

    2 (7.2.1-4)

    7.2.5

    (7.2.5) M Ne s e s

    (7.3.4-4)

    50

    @

    3 N>fcbh :

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    N e ssyc ahAfh

    hbhf +

    00 (

    2

    )()( 00 pppyp ahAf (7.3.4-5)

    )(2

    0 aeeah

    e = (7.3.4-6)

    e

    h 0

    4 (As =As)

    :

    )(

    )5.01(

    0

    2

    01

    sy

    cesahf

    bhfNA

    =

    (7.3.4-7)

    :

    b

    c

    sb

    ce

    cb

    bhfah

    bhfN

    bhfN

    +

    +

    =

    01

    01

    2

    01

    01

    ))((

    43.0(7.3.4-8)

    7.3.5 I b f 7.2.3

    :1 x h f b f

    2 x>h f( 7.3.5) :

    N sssyffc AAfhbbbxf ++ )(1

    ppppyp AAf )( 0 (7.3.5-1)

    Ne

    +

    2

    )(

    2001

    f

    ffc

    hhhbb

    xhbxf

    51

    @

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    )))()( 000 pppypssy ahAfahAf + (7.3.5-2)

    s p

    7.3.4

    3 x>(h-hf)

    bf 7.2.3

    4 N>fcA

    :

    N e

    +

    2

    ()(2

    00

    f

    ffc

    hhhbb

    hhbhf

    0(2

    )( hAfahhbb syf

    ff +

    +

    ) (7.3.5-3)()() 00 pppyps ahAfa

    )( 0 aeeaye = (7.3.5-4)

    y y

    =h/2

    : T bf=b

    T b f=b

    7.3.6 T I

    ( 7.3.6) :

    52

    @

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    N ffc hbbbhf + )(01

    swsssy NAAf ++ (7.3.6-1)

    Ne

    +

    2)()5.01(

    0

    2

    01

    f

    ffc

    hhhbbbhfa

    swssy MahAf ++ )( 0 (7.3.6-2)

    swywsw AfN

    +=

    1

    1

    5.01 (7.3.6-3)

    swswywsw hAfM

    =

    2

    1

    15.0

    (7.3.6-4)

    Asw

    fyw 4.2.3-1

    Nsw > 1

    = 1

    Msw As > 1

    = 1

    hsw h0 =hsw/h0

    hsw=h0- s

    As s

    7.3.4 7.3.5

    : 4

    53

    @

    7.3.7 ( 7.3.7)

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    :

    1

    N sytc AfAf )(1 + (7.3.7-1)

    ieN

    2sin

    )( 211 rrAfc +

    )sin(sint

    ssy rAf+

    + (7.3.7-2)

    2

    N pppytppyppc AfAfAAf )( 001 + (7.3.7-3)

    ieN

    sin

    2

    sin)( 211 pppyc rAfrrAf ++

    tppppy rAf

    sin)( 0+ (7.3.7-4)

    :

    5.11 =t (7.3.7-5)

    ai eee += 0 (7.3.7-6)

    A

    As

    Ap

    r1 r2

    rs

    rp

    e0

    54

    @

    ea 7.3.3

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    t >2/3

    t=0

    3

    +< 21

    2

    2

    arccosrr

    r

    7.3.8

    : 6 r1/r2 0.5

    7.3.8 ( 7.3.8)

    :

    N sytc AfAf )()2

    2sin1(1

    + (7.3.8-1)

    ieN

    tssyrc rAfAf

    sinsinsin

    3

    2 3

    1

    ++ (7.3.8-2)

    225.1 =t (7.3.8-3)

    ai eee += 0 (7.3.8-4)

    A

    As

    r

    rs

    e0

    ea 7.3.3

    (rad) 2

    55

    @

    t >0.625

    t=0

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    : 6

    7.3.9

    ei 7.3.10

    7.3.12

    7.3.10 T I

    :

    21

    20

    0/1400

    11

    +=

    h

    l

    hei(7.3.10-1)

    N

    Afc

    5.01

    = (7.3.10-2)

    h

    l02 01.015.1 = (7.3.10-3)

    l0 7.3.11

    h

    h0 h0=r2+rs h0=r+rs

    r r2 rs 7.3.7 7.3.8

    1 1>1.0 1=1.0

    A T I A=bh+2(b f-b)h f

    2 l0/h

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    7.3.11-1

    l

    1.5H 1.0 H 1.2H

    1.25H 1.0 H 1.2H

    2.0Hu 1.25 Hu 1.5 Hu

    1.0 Hl 0.8 Hl 1.0 Hl

    2.0Hl 1.0 Hl

    0

    1 H Hl

    Hu

    2

    3 Hu / Hl 0.3

    Hu / Hl 0.3 2.5 Hu

    2 l0 7.3.11-2

    7.3.11-2

    l0

    1.0H 1.25 H

    1.25 H

    1.5 H

    H

    3 75%

    l0 :[ Hl lu )(15.010 ++= ] (7.3.11-1)

    Hl )2.02( min0 += (7.3.11-2)

    u l

    min u l

    H 7.3.11-2

    57

    @

    7.3.12

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    EcI : 0.4 0.6

    0.45 7.3 ei

    (M/N+ea) M N

    : 0.7

    7.3.13

    7.3.14 (

    7.3.14) :

    1 F F (F.0.17)(F.0.1-8)

    Mx My N xeix N yeiy :

    axxix eee += 0 (7.3.14-1)

    (7.3.14-2)ayyiy eee += 0

    e0x e0y y x:e0x=M0x/N e0y=M0y/N

    M0x M0y x y

    eax eay x y 7.3.3

    58

    @

    x y x y 7.3.10

    2 :

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    N

    0

    111

    1

    uuyNNNux

    ++(7.3.14-3)

    Nu0

    Nux x xeix

    x 7.3.10

    Nuy y yeiy

    y 7.3.10

    Nu0 (7.3.1)

    N Nu0 0.9

    Nux :

    1) Nux 7.3.4 7.3.5

    N Nux

    2) Nux 7.3.6

    N Nux

    Nuy Nux

    7.4

    7.4.1 :

    N ppysy AfAf + (7.4.1)

    N As Ap

    7.4.2 :

    1

    As Ap A s A p (

    7.4.2a):

    59

    @

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    eN )()( 00 pppyssy ahAfahAf + (7.4.2-1)eN )()( 00 pppyssy ahAfahAf + (7.4.2-2)

    2

    As Ap A s A p (

    7.4.2b):

    N syppysy AfAfAf +

    bxfaAf cppyp 10 )( + (7.4.2-3)

    Ne )(2

    001 ssyc ahAfx

    hbxfa +

    )()( 00 pppyp ahAf (7.4.2-4)

    (7.2.1-3)

    (7.2.1-4)

    (7.4.2-2)

    3

    (7.4.2-2)

    7.4.3 T I

    (7.4.41)

    Mu (7.3.61)(7.3.6-2)

    N=0 Mu Ne

    60

    @

    (7.4.4-1) Mu

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    7.2.6 Mu N ei

    7.4.4

    :

    N

    uu M

    e

    N

    0

    0

    11

    +(7.4.4-1)

    Nu0

    e0

    Mu

    Nu0 (7.4.1)

    Nu0 N Mu 7.1

    (7.4.4-1) e0/Mu :

    2

    0

    2

    00

    +

    =

    uy

    yx

    u M

    e

    Mux

    e

    M

    e(7.4.4-2)

    e0x e0y y x

    Mux Muy x y 7.2

    7.5

    7.5.1 T I :

    hw/b 4

    V 025.0 bhfcc (7.5.1-1)

    hw/b 6

    V 02.0 bhfcc (7.5.1-2) 4 hw/b 6

    V

    c : C50 c=1.0

    C80 c=0.8

    fc 4.1.4

    b T I

    61

    @

    h0

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    hw : T

    I

    :1 T I (7.5.1-1)

    0.3

    2

    7.5.2 :

    1 ( 7.5.2a b 1-1)

    2 ( 7.5.2a 2-2 3-3)

    3 ( 7.5.2b 44)

    4

    :1

    2 ()

    10.2.10 10.2.8

    7.5.3

    :

    V 0.7 (7.5.3-1)0bhfth

    4/1

    0

    800

    =

    hh (7.5.3-2)

    V

    h : h02000mm

    h0=2000mm

    ft 4.1.4

    62

    @

    7.5.4 T I

    :

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    V pcs VV + (7.5.4-1)

    00 25.17.0 hs

    AfbhfV svyvtcs += (7.5.4-2)

    005.0 pp NV = (7.5.4-3) V

    Vcs

    Vp

    Asv :Asv=nA sv1

    Asvl

    s

    fyv 4.2.3-1 fy

    Np0

    6.1.14 Np0>0.3fcA0 Np0=0.3fcA0 A0

    (

    75%) (7.5.4-1)

    (7.5.4-2):

    001

    75.1h

    s

    AfbhfV svyvtcs ++

    =

    (7.5.4-4)

    = /h0

    3 =3

    :1 Np0

    Vp=0

    2 Np0 6.1.9 8.1.8

    7.5.5 T I

    :

    V ssbypcs aAfVV sin8.0++

    63

    @

    ppbpy aAf sin8.0+ (7.5.5)

    V 7.5.6

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    Vp (7.5.4-3)

    Np0

    Asb Apb

    s p

    7.5.6 ( 7.5.2a):

    1 ()

    2 ()

    7.5.7 T I :

    V 00 05.07.0 pt Nbhf + (7.5.7-1)

    :

    V 00 05.01

    75.1pt Nbhf ++

    (7.5.7-2)

    10.2.9 10.2.10

    10.2.11

    7.5.8 T I

    ( 7.5.8):

    V ssbyspcs aAfVV sin8.0++ (7.5.8-1)

    tantan

    )(8.0

    cz

    zAfzAfMV

    sbsbysvsvyv

    sp +

    +=

    (7.5.8-2)

    V

    M

    Vcs (7.5.4-2)

    (7.5.4-4) h0

    Vsp

    : fyAsSin

    (fpyAp+fyAs)sin peApsin

    zsv

    zsb

    64

    @

    z

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    z=0.9h0

    c c=h0

    :

    7.5.9 ( 7.5.9):

    M sbsbyppysy zAfzAfAf ++ )(

    svsvyvpbpbpy zAfzAf ++ (7.5.9-1)

    c :

    svyvppbpyssby AfAfAfV ++= sinsin (7.5.9-2)

    V

    65

    @

    z

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    z=0.9h0

    zsb zpb

    zsv

    fp :

    fpy

    la 9.3.1

    7.5.10 9.3.1 9.3.3

    10.2.2 10.2.4 10.2.7 10.2.10

    7.5.11 T I

    7.5.1

    7.5.12 T I

    :

    V Nhs

    A

    fbhf

    sv

    yvt 07.01

    75.1

    00 +++ (7.5.12)

    N V N>0.3fcA N=0.3fcA

    A

    :

    1 =M/(Vh0)

    =Hn/(2h0) 3 =3

    M V Hn

    2 =1.5

    7.5.4 = /h0 3

    =3

    7.5.13 T I

    :

    66

    @

    V Nbhft 07.01

    75.10 ++ (7.5.13)

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    10.3.2

    7.5.12

    7.5.14 T I

    :

    V Nhs

    Afbhf svyvt 2.0

    1

    75.100 ++

    (7.5.14)

    N V

    7.5.12

    (7.5.14) 0hs

    Af swyv 0h

    s

    Af svyv 0h

    s

    Af svyv

    0.36 0bhft

    7.5.15

    7.5.1 7.5.13 b

    h0 1.76r 1.6r

    7.5.16 :

    Vx cos25.0 0bhfcc (7.5.16-1)

    Vy sin25.0 0hbfcc (7.5.16-2)

    Vx x h0 b

    Vy y b0 h

    V x =arctan(Vy/Vx)

    7.5.17

    :

    xV2

    tan1

    +

    uy

    ux

    ux

    V

    V

    V

    (7.5.17-1)

    Vy2

    tan1

    +

    ux

    uy

    uy

    V

    V

    V(7.5.17-2)

    67

    @

    x y Vux Vuy :

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    Nhs

    AfbhfV svxyvt

    x

    ux 07.01

    75.100 +++

    =

    (7.5.17-3)

    Nb

    s

    AfhbfV

    svy

    yvt

    y

    uy07.0

    1

    75.100

    ++

    +

    =

    (7.5.17-4)

    x y 7.5.12

    Asvx Asvy x y

    N V N>0.3fcA

    N=0.3fcA A

    (7.5.17-1) (7.5.17-2) Vux/Vuy=1

    7.5.18 :

    Vx

    cos07.01

    75.10

    +

    +Nbhft

    x

    (7.5.18-1)

    Vy

    sin07.01

    75.10

    +

    +Nhbft

    y

    (7.5.18-2)

    10.3.2

    7.6

    7.6.1 hw/b 6 T I hw/tw

    6 ( 7.6.1) :

    68

    @

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    hw/b( hw/tw) 4

    tW

    T

    bh

    V

    8.00+

    ccf25.0 7.6.1-1

    hw/b( hw/tw)=6

    tW

    T

    bh

    V

    8.00 +cc f2.0 7.6.1-2

    4< hw/b( hw/tw)6

    7.6.2 ( 7.6.1) :

    69

    @

    tW

    T

    bh

    V

    80+

    0

    005.07.0

    bh

    Nf

    p

    t + 7.6.2-1

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    tW

    T

    bh

    V

    80+

    0

    007.07.0

    bh

    Nf

    p

    t + 7.6.2-2

    10.2.5 10.2.11 10.2.12

    Np0

    6.1.14 Np0>0.3fcA0 Np0=0.3fcA0

    A0

    N V T N>0.3fcA

    N=0.3fcA A

    7.6.3 :

    1

    )3(6

    2

    bhb

    Wt = 7.6.3-1

    b h

    2 T I

    tftftwt

    WWWW ++= 7.6.3-2

    Wtw W tf

    Wtf:

    1)

    )3(6

    2

    bhb

    Wtw = 7.6.3-3

    2)

    )(2

    2

    bbh

    W ff

    tf

    = 7.6.3-4

    3)

    )(2

    2

    bbh

    W ff

    tf = 7.6.3-5

    b h

    b f bf

    70

    @

    h f hf

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    b f b+6h f bf b+6hf

    3

    [ )2(3

    6

    )2()3(

    6

    22

    whw

    wh

    hh

    h

    t tbhtb

    bhb

    W

    = ] 7.6.3-6

    bh hh

    7.6.4 :

    Ts

    AAfwf corstyvtt

    12.135.0 + 7.6.4-1

    corstyv

    stly

    uAf

    sAf

    1

    = 7.6.4-2

    0.6 1.7 >1.7

    =1.7

    ep0 h/6 1.7 (7.6.4-1)

    0.05 tp

    WA

    N

    0

    0 Np0 7.6.2

    (7.6.4-1) 1.7

    Astl

    Astl

    fyv 4.2.3-1 fy

    fy 4.2.3-1

    Acor :Acor=bcorhcor bcor hcor

    ucor :ucor=2(bcor+hcor)

    : h/6

    7.6.5 T I

    7.6.4

    :

    1

    71

    @

    TW

    W

    Tt

    tw

    w = 7.6.5-1

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    2

    TW

    WT

    t

    tf

    f

    = 7.6.5-2

    3

    TW

    WT

    t

    tf

    f = 7.6.5-3

    T

    Tw

    T f Tf

    7.6.6 :

    Ts

    AAfwf corstyvtth

    12.135.0 + 7.6.6

    h : h=2.5tw/bh h>1.0 h=1.0

    (7.6.4-2) 0.6 1.7

    >1.7 =1.7

    7.6.7

    :

    T tcorst

    yvtt WA

    N

    s

    AAfwf 07.02.135.0 1 ++ 7.6.7

    N T N>0.3fcA N=0.3fcA

    A

    7.6.4

    7.6.8

    :

    1

    1)

    V 000 25.1)05.07.0)(5.1( hs

    AfNbhf svyvptt ++ 7.6.8-1

    72

    @

    0

    5.01

    5.1

    Tbh

    VWtt

    += 7.6.8-2

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    Asv

    t : t1

    t=1

    2)

    Ts

    AcorAstfW

    A

    Nf yvt

    p

    tt

    12.1)05.035.0(

    0

    0 ++ 7.6.8-3

    7.6.4

    2

    1)

    V000

    )05.01

    75.1)(5.1( h

    s

    AfNbhf sv

    yvptt

    +++

    7.6.8-4

    0

    )1(2.01

    5.1

    Tbh

    VWtt

    ++=

    7.6.8-5

    7.5.4

    t : t1 t=1

    2)

    (7.6.8-3) t (7.6.8-5)

    7.6.9 T I :

    1 (7.6.8-1)(7.6.8-2)(7.6.8-4)

    (7.6.8-5) T Wt Tw Wtw

    2 7.6.5

    (7.6.83) (7.6.8-2)(7.6.8-3)

    (7.6.8-5) T Wt Tw Wtw

    7.6.4 T Wt T

    f W tf Tf Wtf

    7.6.10 :

    1

    1)

    73

    @

    V 00 25.1)5.1(7.0 hs

    Afbhf svyvtt + 7.6.10-1

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    2)

    Ts

    AAfWf corstyvttth

    12.135.0 + 7.6.10-2

    t (7.6.8-2) Wt hWt

    h 7.6.6

    2

    1)

    V 001

    75.1)5.1( h

    s

    Afbhf svyvtt ++

    7.6.10-3

    t (7.6.8-5) Wt hWt

    2)

    (7.6.10-2) t (7.6.8-5)

    Wt hWt

    7.6.11 T I

    :

    1 V 0.35ftbh0 V 0.875ftbh0/( +1)

    2 T 0.175ftWt T 0.175 hftWt

    7.6.12 T I

    7.6.13 :

    1

    V 00 )05.01

    75.1)(5.1( h

    s

    AfNbhf svyvtt +++

    7.6.13-1

    2

    74

    @

    T s

    AAfW

    A

    Nf corst

    yvttt

    12.1)07.035.0( ++7.6.13-2

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    7.5.12

    t (7.6.8-5) 7.6.4

    7.6.14 T (0.175ft+0.035N/A)Wt

    7.6.15

    7.6.16

    10.2.5 10.2.11 10.2.12

    :

    7.7

    7.7.1

    ( 7.7.1):

    75

    @

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    lF

    0,)15.07.0( huf

    mmpcth +

    7.7.1-1

    (7.7.1-1) :

    s

    2.14.01 += 7.7.1-2

    m

    s

    u

    ha

    45.0 02 += 7.7.1-3

    Fl

    7.7.5

    h : h 800mm h=1.0 h 2000mm

    h=0.9

    ft

    76

    @

    pc m

    1.0 3.5N/mm

    2

    um : h0/2

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    h0

    1

    2 s

    4 s

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    Asvu 45

    Asbu 45

    10.1.10 7.7.1

    m 0.5h0

    : (

    U )

    7.7.4

    ( 7.7.4):

    lF 07.0 hbf mth 7.7.4-1

    ApF sl = 7.7.4-2

    2

    bt

    m

    bbb

    += 7.7.4-3

    h0

    ps

    ()

    A ( 7.7.4 ABCDEF)

    bt :

    bb

    bb=bt+2h0

    7.7.5

    7.7.1

    78

    @

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    7.7.3 Fl

    Fl eq Fl eq G

    7.8

    7.8.1 :

    lF ln35.1 Afclc 7.8.1-1

    l

    b

    l A

    A

    = 7.8.1-2

    Fl

    1.2

    fc

    f cu 4.1.4

    c

    7.5.1

    79

    @

    l

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    Al

    Aln

    Ab 7.8.2 7.8.2 Ab

    7.8.2

    7.8.3 Acor Al ( 7.8.3)

    :

    lF ln)2(9.0 Aff ycorvclc + 7.8.3-1

    ( 7.8.3a) v :

    sA

    lAnlAn

    cor

    ss

    v

    222111 += 7.8.3-2

    1.5

    ( 7.8.3b) v :

    sd

    A

    cor

    ssv

    14= 7.8.3-3

    80

    @

    cor (7.8.1-2)

    Ab Acor Acor>Ab Acor=Ab

    fy 4.2.3-1

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    7.3.2

    Acor

    Al

    v (Acor)

    n1 Asl l1

    n2 As2 l2

    Assl

    dcor

    s 30 80mm

    7.8.3 h

    4 4 h 15d d

    81

    @

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    7.9

    7.9.1 :

    1

    2

    3

    4

    7.9.2

    GB50009

    12m

    7.9.3 :

    1

    2

    :

    7.9.4 :

    fc max,

    fcf 7.9.4-1

    f

    sif

    yf 7.9.4-2

    fc max,

    (7.9.5-1) f

    si i (7.9.5-2)

    fcf 4.1.6 ffy 4.2.5-1

    :

    7.9.5

    :

    1

    1

    @

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    f

    f

    cf

    I

    xM

    0

    0maxmax, =

    7.9.5-1

    2

    min,max, sif

    sif

    sif = 7.9.5-2

    0

    00minmin,

    )(f

    i

    ff

    Esif

    I

    xhM = 7.9.5-3

    0

    00maxmax,

    )(f

    i

    ff

    Esif

    I

    xhM = 7.9.5-4

    Mfmax Mfmin

    fsi min

    fsi max M

    fmin M

    fmax i

    fE :

    fE=Es/E

    fc

    If0 Mfmax Mfmin

    x0 MfmaxM

    fmin

    h0i Mfmax M

    fmin

    i

    Mfmin Mfmax (7.9.5-3) h0i x0 I

    f0

    h 0i x 0 If

    0

    7.9.6 x0 x 0

    If0 If

    0 :

    1 T

    0)()(2

    000

    02

    =+ xhAaaxAabx

    sEf

    ssEf

    7.9.6-1

    2

    @

    2000

    0

    3

    0 )()(3

    xhAaaxAabxI sEf

    ssEff

    ++= 7.9.6-2

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    2 I T

    1)x0>h f( 7.9.6)

    0)()(2

    ))((

    2000

    2

    002

    =+

    xhAaaxAahxbbxb

    sEf

    ssEffff

    7.9.6-3

    2

    00

    2

    0

    3

    003

    0 )()(

    3

    ))((

    3

    xhAaaxAahxbbxb

    I sEf

    ssEfffff ++

    =

    7.9.6-3

    2) x0 h f b f

    3 x 0 If

    0 x0 If0 M

    fmin M

    fmax

    x 0 x0

    Mfmin M

    fmax x 0=x0 I

    f0=I

    f0

    :1 As h0

    Asi h0i

    2 fE

    fc f y

    fE>f y

    fEA

    s f yA s/fc f y

    fc

    7.9.7 :

    1 :

    3

    @

    f t

    ff6.0 7.9.7-1

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    f 7.9.8

    fft 4.1.6

    2 (7.9.7-1)

    f

    sv :

    svf yv

    ff 7.9.7-2

    fsv (7.9.9-1)

    ffyv 4.2.5-1 f

    fy

    7.9.8 :

    0

    max

    bz

    V ff = 7.9.8

    Vfmax

    b T I

    z0 x0

    (7.9.6-1)(7.9.6-3)

    7.9.9 :

    0

    0max )1.0(

    zA

    sbhfV

    sv

    tff

    svf

    =

    7.9.9-1

    minmaxmaxfff VVV = 7.9.9-2

    maxmax /ff VV= 7.9.9-3

    Vfmax

    Vfmin

    s

    Asv

    7.9.10 :

    1

    2

    :

    4

    @

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    7.9.11 :

    1

    1)

    max,ccf

    cf

    f 7.9.11-1

    2)

    max,ctf t

    ff 7.9.11-2

    2

    pf

    pyf

    f 7.9.11-3

    3

    sf

    yff 7.9.11-4

    fcc max ()

    (7.9.12-1)(7.9.12-2)

    fct max

    (7.9.12-1)(7.9.12-2)

    fp (7.9.12-3)

    ffpy 4.2.5-2

    fs (7.9.12-6)

    ffy 4.2.5-1

    :

    7.9.12

    :

    1

    min,cf =max,c

    f 00

    miny

    I

    M f

    pc + 7.9.12-1

    max,cf =min,c

    f 00

    maxy

    I

    M f

    pc + 7.9.12-2

    2

    5

    @

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    min,max, pf

    pf

    pf = 7.9.12-3

    p

    f

    pEpepf y

    I

    M0

    0

    minmin, += 7.9.12-4

    p

    f

    pEpepf y

    I

    M0

    0

    maxmax, += 7.9.12-4

    3

    min,max, sf

    sf

    sf = 7.9.12-5

    s

    f

    pEpesf y

    IM 0

    0

    minmin, += 7.9.12-6

    s

    f

    pEpesf y

    I

    M0

    0

    maxmax, += 7.9.12-4

    fc,minfc max

    pc

    (6.1.5-1)(6.1.5-4)

    Mfmax M

    fmin

    pE :

    pE=Es/Ec

    I0

    y0

    fp min

    fp max

    fp

    pe

    (6.1.5-2)(6.1.5-5)

    6

    @

    y0s y0p

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    fs min

    fs max

    f

    s se Mp0

    Mp0

    :(7.9.12-1) (7.9.12-2) pc (Mfmin/I0)y0 (M

    fmax/I0)y0

    (7.9.12-7) (7.9.12-8) se

    7.9.13 :

    tp

    f

    tf

    f 7.9.13 ftp

    8.1.6 ( )

    7

    @

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    8

    8.1

    8.1.1 3.3.4

    :

    1

    :

    pcck 0 (8.1.1-1)

    2

    :

    pcck tkf (8.1.1-2)

    :

    pccq 0 (8.1.1-3)

    3

    max lim (8.1.1-4)

    ck cq

    pc

    (6.1.5-1)(6.1.5-4)

    ftk 4.1.3 max

    8.1.2

    lim 3.3.4

    :

    (8.1.1-1)(8.1.1-3) pc 0.9

    8

    @

    8.1.2 T T I

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    (mm):

    +=

    te

    eq

    s

    sk

    cr

    dc

    E

    08.09.1max (8.1.2-1)

    skte

    tkf

    65.01.1 = (8.1.2-2)

    =iii

    ii

    eqdn

    dnd

    2

    (8.1.2-3)

    te

    ps

    teA

    AA += (8.1.2-4)

    cr 8.1.2-1

    : 1

    =1 =1

    sk

    8.1.3

    Es 4.2.4

    c (mm): c65 c=65te

    te

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    8.1.2-1

    cr

    2.1 1.7

    2.4

    2.7 2.2

    8.1.2-2

    Vi 0.7 1.0 1.0 0.8 0.6 0.8 0.5 0.4

    0.8

    8.1.3

    :

    1

    1)

    s

    k

    skA

    N= (8.1.3-1)

    2)

    )( 0 ss

    k

    skhA

    eN

    = (8.1.3-2)

    3)

    s

    k

    skAh

    M

    087.0= (8.1.3-3)

    4)

    zA

    zeN

    s

    k

    sk

    )( = (8.1.3-4)

    0

    2

    0)1(12.087.0 he

    hz f

    = (8.1.3-5)

    ss yee += 0 (8.1.3-6)

    10

    @

    0

    )(

    bh

    hbb fff

    = (8.1.3-7)

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    2

    0

    00 /4000

    11

    +=

    h

    l

    hes

    (8.1.3-8)

    As :

    e

    e

    z 0.87h0

    s l0/h 14 s=1.0

    ys

    f

    fb fh (8.1.3-7) >0.2hfh 0 =0.2hfh 0

    Nk Mk

    2

    1)

    sp

    pk

    skAA

    NN

    +

    =

    0 (8.1.3-9)

    2)

    zAA

    ezNMM

    sp

    ppk

    sk)(

    )(02

    +

    = (8.1.3-10)

    0

    2

    p

    kp

    N

    MMee

    += (8.1.3-11)

    Ap :

    z

    (8.1.3-5) e (8.1.3-11)

    ep Np0

    M2 6.1.7

    11

    @

    :(8.1.3-10) (8.1.3-11) M2 Mk M2 Mk

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    8.1.4

    :

    1

    0A

    Nkck = (8.1.4-1)

    0A

    Nqcq = (8.1.4-2)

    2

    0W

    Mkck

    = (8.1.4-3)

    0W

    Mqcq = (8.1.4-4)

    3

    00 A

    N

    W

    M kkck = (8.1.4-5)

    00A

    N

    W

    M qqcq = (8.1.4-6)

    Nq Mq

    A0

    W0

    :(8.1.4-5) (8.1.4-6)

    8.1.5

    :

    1

    1) :

    tp 0.85 (8.1.5-1)tkf

    2) :

    tp 0.95 (8.1.5-2)tkf

    2

    :

    12

    @

    cp 0.6 (8.1.5-3)ckf

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    tp cp 8.1.6

    : (8.1.5-2)(8.1.5-3)

    8.1.6 :

    2

    2

    22

    +

    +=

    yxyx

    cp

    tp(8.1.6-1)

    0

    0

    I

    yMkpcx += (8.1.6-2)

    bI

    SAV ppbpek

    0

    0)sin( =

    (8.1.6-3)

    x Mk

    y Fk

    Vk

    pc

    (6.1.5-1)(6.1.5-4)

    y0

    I0

    Vk

    S0

    pe

    Apb

    p

    :(8.1.6-1) (8.1.62) x y pc Mky0/I0

    8.1.7 0.6h

    Fk 8.1.7

    :

    13

    @

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    bh

    Fky

    6.0max, = (8.1.7-1)

    2

    rl

    F

    = (8.1.7-2)

    bI

    SVlkl

    0

    0= (8.1.7-3)

    bI

    SVrkr

    0

    0= (8.1.7-4)

    l r Fk 0.6h

    F Fk

    Vlk V

    rk Fk

    8.1.8

    ltr

    pc( 8.1.8) ltr 6.1.9

    14

    @

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    8.2

    8.2.1

    B

    3.3.2

    8.2.2 T T I B :

    s

    kq

    k BMM

    MB

    +=

    )1((8.2.2)

    Mk

    Mq

    Bs 8.2.3

    8.2.5

    8.2.3 Bs :

    1

    15

    @

    f

    E

    ss

    s

    hAEB

    +++

    =

    5.31

    62.015.1

    2

    0(8.2.3-1)

    2

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    1)

    Bs=0.85EcI0 (8.2.3-2)

    2)

    )1(85.0 0

    crcr

    cs

    kkIEB

    +=(8.2.3-3)

    k

    cr

    crM

    Mk = (8.2.3-4)

    7.0)45.01(21.0

    0.1 +

    += f

    E

    (8.2.3-5)

    0)( WfM tkpccr += (8.2.3-6)

    0

    )(

    bh

    hbb fff

    = (8.2.3-7)

    8.1.2

    E : E=Es/Ec

    : =As/(bh0)

    =(Ap+As)/(bh0)

    I0 f

    bf hf

    kcr Mcr Mk

    kcr>1.0 kcr=1.0

    pc

    8.2.4

    : Bs 10%

    8.2.4 :

    mh

    +=

    1207.0 (8.2.4)

    16

    @

    m

    2ftk/Ec

    m 8.2.4

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    h (mm): h1600 h=1600

    h=2r r

    8.2.4 m

    1 2 3 4 5

    I

    T

    T

    bf/b 2

    hf/h

    bf/b 2

    hf/h 0.2

    bf/b 2

    hf/h

    bf/b 2

    hf/h 0.2

    m 1.55 1.50 1.45 1.35 1.50 1.40 1.60.24r1/r

    1 fb bf I 2 3 fb bf I

    3 4

    2

    b

    3 1 rl

    8.2.5 :

    1

    =0 =2.0 = =1.6

    =A s/(bh0) =As/(bh0)

    T 6 20%

    2 =2.0

    8.2.6

    EcI0

    2.0

    :1

    2

    17

    @

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    9

    9.1

    9.1.1 9.1.1

    9.1.1 (m)

    100 70

    75 50

    55 35

    65 40

    45 30

    40 30

    30 20

    1

    2

    3

    4 12m

    9.1.2 9.1.1 :

    1 () 8m

    2

    3

    4

    5

    9.1.3 9.1.1

    :

    1

    2

    3

    18

    @

    9.1.4

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    9.2

    9.2.1 (

    ) 9.2.1

    9.2.1 (mm)

    C20C25

    C45C50 C20

    C25

    C45C50 C20

    C25

    C45C50

    20 15 15 30 25 25 30 30 30

    A 20 20 30 30 30 30

    B 25 20 35 30 35 30

    30 25 40 35 40 35

    40mm 70mm

    9.2.2 C20

    9.2.1 5mm

    15mm

    9.2.1

    10mm

    9.2.3 9.2.1

    10mm 10mm 15mm

    9.2.4 40mm

    9.2.5

    9.3

    9.3.1

    :

    19

    @

    dffl

    t

    y

    a = (9.3.1-1)

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    df

    fl

    t

    py

    a = (9.3.1-2)

    la

    fy fpy 4.2.3-1 4.2.3-2

    ft 4.1.4

    C40 C40

    d

    9.3.1

    9.3.1

    0.16 0.14 0.19 0.13 0.16 0.17

    HPB235 180 3d

    HRB335 HRB400 RRB400

    :

    1 HRB335 HRB400 RRB400 25mm

    1.1

    2 HRB335 HRB400 RRB400

    1.25

    3 ()

    1.1

    4 HRB335 HRB400 RRB400

    3

    0.85

    20

    @

    6

    0.25ltr ltr 6.1.9

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    (9.3.1-1) (9.3.1-2) 0.7

    250mm

    9.3.2 HRB335 HRB400 RRB400

    (9.3.1-1) 0.7

    9.3.2

    3

    0.25 5

    5

    9.3.3

    9.3.1 0.7

    9.3.4

    10mm

    9.4

    9.4.1 :

    9.4.2 ()

    d>28mm d>32mm

    9.4.3

    21

    @

    1.3

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    GB

    50010-2002

    ( 9.4.3)

    :

    25% 50% 50%

    :

    ll= la (9.4.3)

    ll

    la 9.3.1

    9.4.3

    300mm

    9.4.3

    ( ) 25 50 1001.2 1.4 1.6

    9.4.4

    9.4.3 0.7 200mm

    22

    @

    9.4.5

    0.25 5

    100mm 10

    200mm d>25mm 100mm

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    9.4.6

    35d(d )

    50%

    9.4.7

    50%

    9.4.8

    25mm

    9.4.9 35d(d

    ) 500mm

    50%

    :1

    2

    3

    9.4.10

    ()

    :

    1

    2 25%

    45d(d )

    3 4.2.5

    9.5

    9.5.1 9.5.1

    23

    @

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    9.5.1

    ( )

    0.6

    0.2

    0.2 45ft/fv

    1 HRB400 RRB400

    0.1 C60 0.1

    2

    3

    ( b)f fb h

    4

    9.5.2

    0.15%

    9.5.3 :

    Mu Mcr (9.5.3)

    Mu (7.2.1-1) (7.2.2-2)

    (7.2.5) MMu Mcr (8.2.3-6)

    9.6

    9.6.1

    1.4

    1.7

    :

    9.6.2

    1.5

    : 15mm

    20mm 25mm

    24

    @

    9.6.3

    :

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    1 150mm 4

    4 120mm

    2 10d(d) 3 5

    3 100mm

    9.6.4 100mm

    2

    9.6.5

    9.6.6

    9.6.7

    9.6.8 :

    1 50mm

    30mm

    2

    1.5

    50mm 40mm

    3

    10 15mm

    4 12m

    5

    9.6.9 :

    1 7.8

    0.5%

    25

    @

    2 l 3e(e ) 1.2h(h

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    ) 2e

    0.5%( 9.6.9)

    9.6.10 :

    1

    2

    0.2h(h )

    3 :

    e 0.1h

    ASV 0.3y

    p

    f

    N(9.6-10-1)

    0.1h e 0.2h

    ASV 0.15

    y

    p

    f

    N(9.6-10-2)

    e 0.2h

    Np

    6 1.2

    e

    fy 4.2.3-1

    26

    @

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    9.6.11 ( 9.6.11)

    9.6.12

    9.6.13

    4m

    9.6.14

    9.6.15

    9.6.9 9.6.10

    27

    @

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    10

    10.1

    10.1.1 10.1.1

    10.1.1 (mm)

    60

    60

    70

    80

    80

    700mm 40

    700mm 50

    500mm 60

    500mm 80

    150

    10.1.2 :

    1

    2 :

    1) 2.0

    2) 2.0 3.0

    3) 3.0

    10.1.3

    10.1.4 h 150mm 200mm

    h>150mm 1.5h 250mm

    10.1.5 5d d

    28

    @

    10.1.6 200mm

    8mm

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    GB

    50010-2002

    l0 ( 10.1.6)

    10.1.7

    8mm 200mm

    :

    1

    2

    29

    @

    10.1.8

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    GB

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    15% 0.15% 250mm

    6mm

    200mm

    :

    10.1.9 150 200mm

    0.1%

    10.1.10 :

    1 150mm

    2 45

    1.5h0(

    10.1.10a) 6mm h0/3

    30

    @

    3 30 45

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    GB

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    ( 10.1.10b)

    (1/2 2/3)h 12mm

    3

    10.1.11 h>2m 1m

    12mm 200mm

    10.1.12

    10.2

    10.2.1 h 300mm 10mm

    h

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    GB

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    d

    las 0.25

    10

    5

    : C25 1.5h

    V>0.7ftbh0 las 15d

    10.2.3

    :

    1 V 0.7ftbh0

    20d 1.2la

    2 V>0.7ftbh0

    h0 20d

    1.2la+h0

    3

    1.3h0 20d

    1.2la+1.7h0

    10.2.4

    12d 10.2.8

    10.2.7

    10.2.5 tl :

    tly

    t

    f

    f

    Vb

    T

    6.0 (10.2.5)

    T/(Vb)>2.0 T/(Vb)=2.0

    tl : tl=bh

    Astl

    b 7.6.1

    Astl

    32

    @

    200mm

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    9.5.1

    b bh

    10.2.6

    0.2l0

    l0

    10.2.7

    45 60

    20d 10d

    d

    10.2.8

    ( 10.2.8)

    h0/2

    ()

    10.2.10 V>0.7ftbh0+0.05Np0

    33

    @

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    10.2.9 h>300mm

    h=150 300mm

    h0.7ftbh0+0.05Np0

    sv( sv=Asv/(bs)) 0.24ft/fyv

    34

    @

    2

    15d(d ) 400mm

    5 18mm 10d

    400mm 3 400mm

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    GB

    50010-2002

    4

    3 9.4.5

    10.2.10 (mm)

    h V 0.7ftbh0+0.05Np0 V 0.7ftbh0+0.05Np0

    150 h 300 150 200

    300 h 500 200 300

    500 h 800 250 350

    h 800 300 400

    10.2.11 h>800mm 8mm h

    800mm 6mm

    0.25

    10.2.12 sv( sv=Asv/(bs)) 0.28ft/fyv

    10.2.10

    135 10d(d

    )

    0.75b

    b 7.6.1

    b bh

    10.2.13 (

    ) s

    =2h1+3b( 10.2.13)

    10.2.7

    35

    @

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    GB

    50010-2002

    :

    ASVsinyvf

    F(10.2.13)

    Asv Asv

    F

    10.2.14 ( 10.2.14)

    35% :

    36

    @

    1 :

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    50010-2002

    2cos2

    slysl AfN = (10.2.14-1)

    2 35%

    2cos7.02

    sys AfN = (10.2.14-2)

    As

    Asl

    s s=h tan(3 /8)

    10.2.15 4m 8mm

    4 6m 10mm 6m 12mm

    10.2.16 hw 450mm

    ( )

    bhw 0.1% 200mm hw

    7.5.1

    10.2.17

    8 14mm 100 150mm

    10.2.16

    10.3

    10.3.1 :

    1 12mm 5%

    8 6

    2 h 600mm 10

    16mm

    3 50mm

    10.2.1

    4

    300mm

    10.3.2 :

    37

    @

    1

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    9.3.1 135

    5

    2 400mm 15d d

    3 d/4 6mm d

    4 3% 8mm

    10 200mm

    135 10

    5 400mm 3

    400mm 4

    6 9.4.5

    10.3.3

    80mm dcor/5(dcor

    ) 40mm 10.3.2

    10.3.4 I 120mm 100mm

    2 3 8mm

    10.3.5 I

    I

    10.4

    10.4.1

    la 5d d

    0.4la 15d( 10.4.1)

    la 9.3.1

    38

    @

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    10.4.2

    10.4.2 (

    10.4.2) 10.2.3

    :

    1

    10.2.2 V>0.7ftbh0

    2

    ( 10.4.2a) 9.3.1

    la 90 (

    10.4.2b)

    10.4.1 90 ( 10.4.2c)

    3

    0.7la

    39

    @

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    10.4.3

    9.3.1

    la

    0.5la 12d 80mm C20

    12d d

    10.4.4

    :

    40

    @

    1 ( 10.4.4a)

    1.5la

    65%

    8d

    80mm

    C20

    1.2%

    20d

    d

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    2 ( 10.4.4b)

    1.7la 1.2%

    20d d

    12d d

    10.4.5 As :

    Asy

    bcc

    f

    hbf 035.0 (10.4.5)

    bb

    h0

    d

    25mm 6d d>25mm 8d

    10.4.6 10.3.2

    250mm

    9.4.5

    41

    @

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    10.5

    10.5.1 ()() 4

    C20

    10.5.2 140mm

    1/25 1/20

    10.5.3

    7.3 7.4

    10.5.4 10.5.6

    7.8

    6 1/10

    10.5.4 :

    V 0.25 (10.5.4)bhfcc

    V

    c 7.5.1

    b T I ()

    h ()

    10.5.5 :

    V 00 13.05.0

    5.0

    1h

    s

    Af

    A

    ANbhf

    v

    sh

    yv

    w

    t +

    +

    (10.5.5)

    N V N>0.2fcbh N=0.2fcbh

    A 10.5.3

    Aw T I Aw=A

    Ash

    sv

    42

    @

    : =M/(Vh0) 2.2

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    =2.2 M V

    h0/2 h0/2

    V (10.5.5)

    10.5.10 10.5.12 10.5.6 :

    V 00 13.05.05.0

    1h

    s

    Af

    A

    ANbhf

    v

    sh

    yv

    w

    t +

    (10.5.6)

    fyv=v

    sh

    s

    Ah0 fyv=

    v

    sh

    s

    Ah0

    N V

    10.5.5

    10.5.7 7.2

    7.5.1 ln/h>2.5

    :

    V 007.0 hs

    Afbhf svyvt + (10.5.7)

    : ln/h 2.5

    10.5.8

    4 12mm

    2 16mm 6mm

    250mm

    2 12mm

    9.3.1

    43

    @

    10.5.9 sh( sh=v

    sh

    bs

    Asv

    )

    sv( sv= h

    sv

    bs

    A

    sh

    )

    0.2%

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    10.5.10 8mm

    300mm

    10.5.11 160mm

    160mm

    6mm 600mm

    10.5.12 10d d

    15d

    10.5.13

    10.5.13 1.2la

    500mm

    1.2la

    10.5.14 6mm

    150mm

    150mm

    10.5.15

    10.6

    10.6.1

    7 8

    10.6.2 10.6.13

    44

    @

    10.6.4 10.6.5

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    h1/h

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    V=V1G+V2G+V2Q (10.6.4-2)

    V1G

    V2G

    V1Q

    V2Q

    Vcs

    Vp=0

    10.6.5 10.2.10 10.2.11 10.6.14

    :

    V 00 85.02.1 hs

    Afbhf svyvt + (10.6.5-1)

    ft

    10.6.15

    :

    0bh

    V0.4 (N/mm2) (10.6.5-2)

    10.6.6

    ftk

    :

    01

    1

    W

    M kck = (10.6.6-1)

    0

    2

    01

    1

    W

    M

    W

    MkGk

    ck += (10.6.6-2)

    46

    @

    M1Gk

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    M1k

    M1k=M1Gk+M1Qk M1Qk

    M2k M2k=M2Gk+M2Qk M2Gk

    M2Qk

    W01

    W0

    10.6.7 8.1.5

    8.1.6

    10.6.8

    :

    sk 0.9fy (10.6.8-1)

    sk= s1k+ s2k (10.6.8-2)

    M1Gk s1k:

    01

    1

    187.0 hA

    M

    s

    Gk

    ks = (10.6.8-3)

    h01

    M2k s2k

    :

    0

    21

    2 87.0

    15.0

    hA

    Mh

    h

    s

    k

    ks

    +

    = (10.6.8-4)

    M1Gk

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    wmax

    :

    +

    +=

    1

    21

    max 8.09.1)(

    2.2

    te

    eq

    s

    ksksd

    cE

    (10.6.9-1)

    kstekste

    tkf

    211

    165.01.1

    +

    = (10.6.9-2)

    deq 8.1.2

    te1 te

    8.1.2

    ftk1 4.1.3

    10.6.10 8.2.1

    :

    2

    1

    1

    2 )1(

    s

    kqGk

    s

    s

    k B

    MMMB

    B

    MB

    ++

    =

    (10.6.10-1)

    Mk=M1Gk+M2k (10.6.10-2)

    Mq=M1Gk+M2Gk+qM2Qk (10.6.10-3)

    8.2.5

    Mk

    Mq

    Bsl 10.6.11

    Bs2 10.6.11

    q

    10.6.11

    :

    1

    1)Bs1 (8.2.3-1)

    2):

    48

    @

    f

    E

    ss

    s

    h

    h

    hAEB

    +++

    =

    5.31

    5.46.07.0

    1

    2

    0

    2 (10.6.11-1)

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    E : E=Es/Ec2

    2

    1)Bs1 (8.2.3-2)

    2):Bs2=0.7Ec1I0 (10.6.11-2)

    Ecl

    I0

    10.6.12

    Bs2 (8.2.3-1) E=Es/Ecl

    10.6.13

    1.75

    10.6.14 :

    1

    10d(d )

    2 6mm

    3 100mm

    C20

    10.6.15 4mm

    C20

    10.7

    10.7.1 l0/h

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    10.7.3 :

    M fyAsz (10.7.3-1)

    z= d(h0-0.5x) (10.7.3-2)

    hl

    d004.080.0 += (10.7.3-3)

    l0 h z=0.6l0.

    x (7.2.1-2) x2 as

    10.7.4 :

    hw/b 4

    V 00 )/10(60

    1bhfhl cc+ (10.7.4-1)

    hw/b 6

    V 00 )/7(60

    1bhfhl cc+ (10.7.4-2)

    4 hw/b 6

    V

    l0 l0

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    75%)

    :

    V 00

    0

    0

    06

    )/5(

    3

    )2/(

    1

    75.1h

    s

    Af

    hlh

    s

    Af

    hlbhf

    v

    sh

    yh

    h

    sv

    yvt

    +

    +

    +

    (10.7.5-2)

    : l0/h 2.0 =0.25 2.0 l0/h 5.0 =/h0

    (0.92l0/h-1.58)

    (0.42l0/h-0.58)

    l0/h l0/h

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    52

    @

    10.7.10

    ( 10.7.9-1) 9.3.1 la

    1.1

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    la

    10.7.11 8mm

    200mm

    600mm 0.4h 0.4h ( 10.7.9-1 10.7.9-2 )

    10.7.12

    200mm

    3/4

    s

    ( 10.7.12a)

    h1 hb/2

    s=bb+hb (10.7.12-1)

    h1>hb/2

    s-=bb+2h1 (10.7.12-2)

    bb

    hb

    h1

    53

    @

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    Asv (10.2.13)

    fyv 0.8

    10.7.13 ( =bh

    As) sh(

    sh=v

    sh

    bsA sv ) sv( sv=

    h

    sv

    bsA sh

    ) 10.7.13

    10.7.13 ( )

    HPB235 0.25 0.25 0.20

    HRB335 HRB400 RRB400 0.20 0.20 0.15

    1/4 l0/ h 1.5

    0.05

    10.7.14

    10.8

    10.8.1 ( h0 )( 10.8.1):

    1

    54

    @

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    Fvk

    0

    0

    5.0

    5.01

    h

    bhf

    F

    F tk

    vk

    hk

    +

    (10.8.1)

    Fvk

    Fhk

    : 0.65 0.80

    20mm

    20mm =0

    b

    h0 :h0=h1- s+c tan >45

    =45 c

    2 h1 h/3 200mm

    3 Fvk 0.75fc

    10.8.2

    :

    55

    @

    Asy

    h

    y

    v

    f

    F

    hf

    aF

    2.185.0 0 + (10.8.2)

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    Aszf

    M

    f

    N

    f

    V

    ybrybyvr 3.18.0++ (10.9.1-1)

    Aszf

    M

    f

    N

    ybryb 4.08.0+ (10.9.1-2)

    2

    :

    Aszf

    NzM

    f

    NV

    ybryvr 3.1

    4.03.0 +

    (10.9.1-3)

    Aszf

    NzM

    ybr4.0

    4.0 (10.9.1-4)

    M0.7 v=0.7

    d

    tb 25.06.0 += (10.9.1-6)

    b=1.0

    fy 4.2.3-1 300N/mm2

    V

    N 0.5fcA A

    57

    @

    M

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    r : 1.0 0.9

    0.85

    v

    d b

    t

    z

    10.9.2 ( 10.9.2)

    Asb :

    Asb svy

    AfV 25.14.1 (10.9.2)

    v 10.9.1 As=0

    : 15 45

    10.9.3 HPB235 HRB335 HRB400

    10.9.4 4 4 8mm

    25mm 2

    10.9.5 Q235 T

    20mm 20mm

    6mm 0.5d(HPB235 )

    0.6d(HRB335 HRB400 ) d

    58

    @

    10.9.6 0.6

    b/8 b ( 10.9.1) 2d 20mm

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    b b1 c c1

    3d 45mm( 10.9.1)

    bb1 300mm b1 6d 70mm

    c1 6d 70mm b c 3d 45mm( 10.9.1)10.9.7 9.3.1

    HPB235 9.3.1

    15d d

    10.9.8 HPB235

    30d

    2 50N/mm2

    4 3

    10.10

    10.10.1

    10.10.2

    10.10.3

    10.10.4

    1.3 1.5 ()

    59

    @

    10.10.5

    10.4.1

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    10.10.6

    C30

    80mm C20

    10.10.7 20m

    C20

    30mm

    20m

    60

    @

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    GB

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    11

    11.1

    11.1.1 1 10

    GB50011

    11.1.2 :

    1 6 ( )

    2 6 7 7

    11.1.3 11.1.3

    11.1.3 (m)

    6 7 8 9

    60 55 45 25

    130 120 100 50

    140 120 100 60

    120 100 80

    150 130 100 70

    180 150 120 80

    1 ()

    2

    3

    4 9

    5

    11.1.4

    11.1.4

    61

    @

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    11.1.4

    6 7 8 9

    (m) 30 30 30 30 30 30 25

    (m) 60 60 60 60 60 60 50

    (m) 80 80 80 80 80 80 60

    1

    GB50011

    2 I 6

    3

    50

    4

    11.1.5

    1/8 15m

    1/8

    15m

    11.1.6

    RE RE 11.1.6

    RE=1.0

    62

    @

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    11.1.6

    RE 0.75 0.8 0.85 0.85 0.85 1.0

    1. 0.15 RE=0.75

    2. RE 1.0

    11.1.7

    9.3 9.4 :

    1 laE :

    laE=1.15la (11.1.7-1)

    laE=1.05la (11.1.7-2)

    laE=la (11.1.7-3)

    la 9.3.1

    2 llE :llE= laE (11.1.7-4)

    9.4.3

    3 :

    4

    50%

    11.1.8 135 10

    0.25 5 100mm

    11.2

    11.2.1 :

    63

    @

    1 9 C60 8

    C70

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    2

    C30 C20

    11.2.2 HRB400 HRB335

    HRB335 HRB400 HPB235

    11.2.3

    :

    1 1.25

    2 1.3

    11.3

    11.3.1 7.2

    RE

    :

    x 0.25h0 (11.3.1-1)

    x 0.35h0 (11.3.1-2)

    2.5%

    11.3.2 Vb :

    1 9

    Gb

    n

    r

    bua

    l

    bua

    b Vl

    MMV +

    +=

    )(1.1 (11.3.2-1)

    (11.3.2-2) Vb

    2

    Gb

    n

    r

    b

    l

    b

    b Vl

    MMV +

    +=

    (3.1 (11.3.2-2)

    64

    @

    Gb

    n

    r

    b

    l

    b

    b Vl

    MM

    V +

    +

    =

    (

    2.1 (11.3.2-3)

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    Gb

    n

    r

    b

    l

    b

    b Vl

    MMV +

    +=

    (1.1 (11.3.2-4)

    lbuaMr

    buaM

    l

    bMr

    bM

    VGb

    ln

    (11.3.2-1) lbuaM rbuaM

    Mbua 7.2

    (11.3.2-2)(11.3.2-4) lbM r

    bM

    11.3.3 l0/h>2.5

    :

    Vb )20.0(1

    0bhfccRE

    (11.3.3)

    c : C50 c=1.0

    C80 c=0.8

    11.3.4 T I :

    1

    Vb

    + 00 25.142.0

    1h

    s

    Afbhf svyvt

    RE(11.3.4-1)

    2 (

    75%)

    65

    @

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    Vb

    +

    +00

    1

    05.11h

    s

    Afbhf svyvt

    RE (11.3.4-2)

    = /h0

    3 =3

    11.3.5 :

    1 200mm

    2 4

    3 4

    11.3.6 :

    1 11.3.6-1

    11.3.6-1 ( )

    0.4 80ft / fy 0.3 65ft /fy

    0.3 65ft / fy 0.25 55ft / fy

    0.25 55ft / fy 0.2 45ft / fy

    2

    0.5 0.3

    3 11.3.6-2

    2% 2mm

    11.3.6-2

    (mm) (mm)

    (mm)

    2h 500

    6 1 4

    100 10

    8

    1 4 100

    8

    8

    1 4 150 8

    1.5h 500

    8

    1 4 150 6

    h

    66

    @

    11.3.7

    14mm

    1/4 12mm

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    11.3.8 : 200mm 20

    250mm 20

    300mm

    11.3.9 50mm 2 sv :

    sv 0.30yv

    t

    f

    f(11.3.9-1)

    sv 0.28yv

    t

    f

    f(11.3.9-2)

    sv 0.26yv

    t

    f

    f(11.3.9-2)

    11.4

    11.4.1 7

    RE

    11.4.2

    :

    1

    1)9

    = buac MM 2.1 (11.4.2-1)(11.4.2-2) Mc

    2)

    cM =1.4 (11.4.2-2) bM

    cM =1.2 (11.4.2-3) bM

    cM =1.1 (11.4.2-4) bM

    67

    @

    Mc

    (11.4.2-1)(11.4.24)

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    Mbua

    Mbua 11.3.2

    Mb

    1.4 1.2 1.1

    0.15

    2

    11.4.3

    1.5 1.25 1.15

    :

    11.4.4 Vc :

    1 9

    n

    b

    cua

    t

    cua

    cH

    MMV

    )(2.1

    += (11.4.4-1)

    (11.4.4-2) Vc

    2

    Vc=1.4n

    b

    c

    t

    c

    H

    MM )( +(11.4.4-2)

    Vc=1.2n

    b

    c

    t

    c

    H

    MM )( +(11.4.4-3)

    68

    @

    Vc=1.1n

    b

    c

    t

    c

    H

    MM )( +(11.4.4-4)

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    50010-2002

    tcuaMb

    cuaM

    t

    cM

    b

    cM Hn

    (11.4.4-1) tcuaM b

    cuaM

    tcuaM 11.4.1 b

    cuaM

    N

    (11.4.4-2)(11.4.4-4) tcM

    bcM

    bcMb

    cM 11.4.2 11.4.3

    11.4.5 10

    20% 10

    2%

    11.4.6

    1.5 1.2

    11.4.7 11.4.2

    11.4.4 1.1

    11.4.8 :

    >2

    Vc )2.0(1

    0bhfccRE

    (11.4.8-1)

    2

    Vc )15.0(1

    0bhfccRE

    (11.4.8-2)

    11.4.9

    :

    69

    @

    Vc

    ++

    +

    Nh

    s

    Afbhf svyvt

    RE

    056.0

    1

    05.1100

    (11.4.9)

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    =M/(Vh0) M

    V M h0

    =Hn/(2h0)

    Hn 3.0 =3.0N N>0.3fcA

    N=0.3fcA

    11.4.10

    :

    Vc

    +

    +Nh

    s

    Afbhf svyvt

    RE

    2.01

    05.1100

    (11.4.10)

    fyvs

    Asv h0 fyvs

    Asv h0 fyvs

    Asv h0

    0.36ftbh0

    N

    11.4.11 :

    1 300mm 350mm

    2 2

    3 3

    11.4.12 :

    1 11.4.12-1

    0.2

    0.1

    11.4.12-1 ( )

    1.0 0.8 0.7 0.6

    1.2 1.0 0.9 0.8

    HRB400

    0.1 C60 0.1

    2

    11.4.12-2

    70

    @

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    11.4.12-2

    (mm)

    (mm)

    6 100 10

    8 100 8

    8 150( 100) 8

    8 150( 100) 6( 8)

    1/3 500mm

    3 2

    100mm

    4 10mm 200mm

    150mm

    400mm 6mm 2

    8mm

    11.4.13 5%

    400mm 200mm

    2 1.2%

    11.4.14 ()

    1/6 500mm

    11.4.15 : 200mm

    250mm 20 300mm

    11.4.16 N/(fcA)

    11.4.16

    11.4.16

    0.7 0.8 0.9

    0.75 0.85 0.95

    0.6 0.7

    71

    @

    1 N (fcA) N A fc

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    2 C65~C70 0.05

    C75~C80 0.10

    3 2 0.05 1.5

    4 100mm 200mm 12mm 100mm 200mm

    12mm 80mm 200mm

    10mm 0.10 v

    11.4.17

    5

    0.8 0.05 4

    0.15 v 0.10

    6 1.05

    11.4.17 :

    1 :

    v

    yv

    c

    vf

    f (11.4.17)

    v 7.8.3

    fc C35 C35

    fyv

    v 11.4.17

    11.4.17 v

    0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.05

    0.10 0.11 0.13 0.15 0.17 0.20 0.23

    0.08 0.09 0.11 0.13 0.15 0.18 0.21

    0.08 0.09 0.11 0.13 0.15 0.17 0.19 0.22 0.24

    0.06 0.07 0.09 0.11 0.13 0.15 0.17 0.20 0.22

    0.06 0.07 0.09 0.11 0.13 0.15 0.17 0.20 0.22

    0.05 0.06 0.07 0.09 0.11 0.13 0.15 0.18 0.20

    72

    @

    1

    2 0.8

    3

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    0.8 0.6 0.4 0.4

    4 C60

    0.6 0.02

    0.6 0.03

    2 11.4.17

    0.02 1.5%

    3 2

    1.2% 9 1.5%

    11.4.18

    10d

    15d d

    11.5

    11.5.1

    11.4 9

    10 11.1 11.2

    11.5.2 :

    1

    1) 500mm

    2) 300mm

    3) 500mm

    4)

    5) 30 mm0

    2 100mm 11.5.2

    11.5.2 (mm)

    73

    @

    10 8

    10 8 8

    8(10) 8 6

    10

    10 10 8

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    11.5.3 l

    (:l 2h :l 2b)

    :

    1 h

    h/2 300mm

    2 e0 h/6 h/4

    : 1.2% 1.0%

    0.8%

    11.5.4

    10

    :

    1