Design of concrete structures for retaining aqueous liquids

Design tables to BS 8007

Richard Cheng BSc, CEng, FIStructE

7'

! . . . : I

-\1 Thomas Telford

Published by Tho!Tias Telford Publishing, Thomas Telford Services Ltd l Heron Quay, London E14 4JD

First published 1996

Distributors for Thoxas Telford books are USA: American Society of Civil Engineers, Publications Sales Department, 345 East 47th Street, New i'ork, NY 10017-2398 Japan: Maruzen Co. Ltd, Book Department, 3-10 Nihonbashi 2-chome, Chuo-ku, Tob:yo 103 Austrolia: DA Books and Journals, 648 Whitehorse Road, Mitcham 3132. Vicmria

These tables are a guide to BS 8007~1987 Design of concrete structures for retaining aqueous liquid

Contents

1 Introduction I

2 Design summary

2.1 Design for thermal and moisture effects 2

2.2 Design for flexure-serviceability limit state 3

2.3 Design for flexure-ultimate limit state 5

3 Design example

3.1 Design of the piled base slab of a water holding tank 7

4 Design tables

Tables AI to A6: reiriforcements required for control of thermal and shrinkage cracks

Notes to Tables A I to A6 13

Table A I W 0.1, Coeff. of thermal expansion= 12E-6 I 4 Table A2 W = 0.1, Coeff. of thermal expansion= !OE-6 15 Table A3 W = 0.1, Coef'f. of thermal expansion= 8E-6 16 Table A4 W = 0.2, Coeff. of thermal expansion= 12E-6 17 Table A5 W = 0.2, Coeff. of thermal expansion= l OE-6 18 Table A6 W = 0.2, Coeff. of thermal expansion= 8E-6 19

Tables Bl to 836: flexural capacity

Notes to Tables Bl to B36 21

Table Bl Table B2 Table B3 Table B4 Table B5 Table B6

Table B7 Table B8 Table B9 Table B!O Table 811 Table 812

Table Bl3 Table B14 Table Bl5 Table 816 Table 817 Table Bl8

Table Bl9 Table B20 Table B21 Table B22 table B23 Table B24

W =0.1, F==30, Cover=40 W=O.I, F==30, Cover 52 W 0.1, f,.=30, Cover 56 W =0.1, F,u 30, Cover,~60 W = 0.1, F,. = 30, Cover= 65 W =0.1, F,.=30, Cover=72

W=O.I, F,u=35, Cover=40 W=O.I, F,.=35, Cover=52 W=O.l, Fm=35, Cover= 56 W=O.l, F,. 35, Cover=60 W=O.I, Fou=35, Cover=65 W=O.l, F,.=35, Cover=72

W=O.I, F,.=40, Cover=40 W=O.I, fcu=40, Cover=52 W=O.I, F,.=40, Cover=56 W = 0.1, F,u 40, Cover= 60 W=O.I, F,.=40, Cover=65 W=O.l, F,.=40, Cover=72

W =0.2, F,.=30, Cover=40 W =0.2, f,u=30, Cover=52 W 0.2, F '" 30, Cover= 56 W = 0.2, F '" = 30, Cover= 60 W = 0.2, F cu = 30, Cover= 65 W = 0.2, F'" = 30, Cover= 72

22 23 24 25 26 27

28 29 30 31 32 33

34 35 36 37 38 39

40 41 42 43 44 45

Table B25 W=0.2, F,u=35, Cover=40 46 Table B26 W=0.2, F,u=35, Cover 52 47 Table B27 W = 0.2, F,u = 35, Cover 56 48 Table B28 W=02, Fcu=35, Cover 60 49 Table B29 W=02, fuu=35, Cover=65 50 Table B30 W=0.2, F,u 35, Cover 72 51

Table B31 W=0.2, feu 40, Cover= 40 52 Table B32 W =0.2, fuu=40, Cover 52 53 Table B33 W=0.2, fuu=40, Cover 56 54 Table B34 W=0.2, F,u=40, Cover 60 55 Table B35 W=0.2, F,u 40, Cover 65 56 Table B36 W=0.2, F,u=40, Cover 72 57

DESIGN TABLES TO BS 8007 w 1

1 Introduction

I. 1 In the design of reinforced concrete structures, it is assumed that tensile capacity of concrete does not contribute to the strength of the structure, and steel remforcement is provided to resist the internal tensile forces which develop. Because steel reinforcement can only develop the resisting tensile force by extension (i.e. steel needs to extend to develop stress), and hence cause cracks to form in the surrounding concrete, cracks in reinforced concrete structures cannot be avoided.

1.2 Concrete expands and contracts wtth the increase in temperature during hydration of cement and the subsequent fall in temperature. In continuous structures, if this movement is restrained. tensile stresses will develop which can cause cracks to form. The effects of thermal contraction and drying shrinkage may be controlled by the provision of reinforcements and movement joints.

1.3 Although it is accepted that cracks will be present in reinforced concrete structures, the degree and magnitude of cracking should be controlled. In the design of liquid-retaining structures it is essential to restrict the width of cracks in the structure. The maximum design surface crack widths Win BS 8007 for direct tension and flexure or restrained temperature and moisture effects are as follows

W = 0.2 mm for severe or very severe exposure

W 0.1 mm for critical aesthetic appearance.

The above assumes that, if cracks do not exceed 0.2 mm, they can heal autogeneously.

1 A BS 8007 is based on the limit states approach. Generally, the ultimate limit states do not control the design of the concrete section and reinforcement, and design should be carried out for the serviceability limit state of cracking, followed by checking of the ultimate limit states and other serviceability conditions.

1.5 Appendix A of BS 8007 provides calculations of minimum reinforcement, crack spacing and crack widths in relation to temperature and moisture effects. Section 2.1 summarises the design formulae and Tables A 1 to A6 provide the calculated reinl(ucements required for control of thermal and shrinkage cracking.

I .6 Appendix B of BS 8007 provides calculations of crack widths in mature concrete under structural loading. Section 2.2 summarises the design formulae and Tables Bl to 836 tabulate the service and ultimate flexural capacity of a range of slab thicknesses and reinforcement arrangements under differing conditions of crack width limitation, concrete strength and cover.

L 7 The design calculations of both the serviceability limit state of cracking due to thermal and moisture effects and flexural effects can be tedious and time consuming. In the preliminary design stage, the design tables in this document should assist and short-cut the design precess, saving valuable time. The most economical design solution can be selected by direct comparison of data within the tables.

2 0 DESJGN TABLES TO BS 8007

2 Design summary

2.1 Design for thermal and moistnre effects (Reference: BS 8007 Appendix A)

2.1.1 Procedures swnmarised below are appropriate for long continuous slab and \Vall construction, and cracking arising from temperature and moisture changes is controlled by providing adequate amounts of reinforcement without contraction joints.

For design with contraction joints and partial restraint refer to BS 8007 Cl. 5.3.3.

2.1.2 Minimum reinforcement required to control the early thermal and shrinkage cracking (within three days)

Peri< is the critical steel ratio which is the minimum ratio of steel to the gross area of the 'concrete section' (concrete section being the surface zone as defined in Figs AI and A2 of Appendix A of BS 8007). This critical reinforcement is required to transfer tensile force across the cracks and to distribute cracking.

fct =direct tensile strength of immature concrete (usually taken at an age of three days) /y = characteristic strength of reinforcement

Vi:J.lues of pcr;,

Estimated f., /y=460 /y=250

ct (C30) 1.45 0.0032 0.006 ct (C35) 1.6 0.0035 0.0065 ct (C40) 1.75 0.0038 0.007

2.1.3 Reinforcement required to control crack width due to thermal and shrinkage effect:

Tl = temperature rise due to hydration of cement. (Refer to Table A2, BS 8007)

T2 = IL'lllperature fall due to seasonal variation. ~ = coefficient of thermal expansion of mature concrete

(usually taken as 12 x 10-6).

BS 8110 recommends the following value for a

Aggregate type

Flint, quartzite Granite, basalt Limestone

Coefficient of expansion of concrete (a)

12 x w-" 10 X JO-b 8 X J0-6

W the permissible crack width in rnm. For severe or very severe exposure W = 0.2 mm. For critical aesthetic appearance W = 0.1 rnm.

S crack spacing.

[ b average bond strength between concrete and steel.

DESIGN TABLES TO BS 8007 0 3

'ITI-T2J =strain due to temperature (Tl + T2). W=Se.

e is the effective strain= eshrinkage + e(TI,T2) - creep strain.

BS 8007 recommends the estimated effective strain e to be (~)en+ T2)

Therefore w = sG)cn + T2)

Maximum spacing of crack Sm~ = (i') (~) (7: = 1.0 for round bar and 0.67 for deformed type 2 bar)

Maximum crack width Wm~ = [ 0:) (~) ]@(Tl + T2) Re-arrange equation

P = [ ~) ( 2:mJ J (~)en + Tz)

2.2 Design for flexure-serviceability limit state (Reference: BS 8007 Appendix B)

b L

1

X

Neutral axis

h

(f,A,)

f,

z

Section Strains Stresses/forces

2.2.1 The design is based on the elastic theory, cracked section.

E, =moduli of elasticity of reinforcement (200 x 103 Njmm2 )

E, = moduli of elasticity of concrete.

In assessing the strains for calculation of crack width, E, should be taken as

[5.5y'(F,u/ 1.5)]/2

. E, Modular ratto a = -

E,

fc = ecEc Is = ESES

(BS 8007 limit.!; to 0.45f;ul

(BS 8007 limit.f. to 0.87F,J

4 0 DESIGN TABLES TO BS 8007

Equilibrium of forces: concrete compression= steel tension

0.5fcbx =!,A, 0.5ecEcbx = E5E5A5 ~bx-2E'A Es - Ec s

. Ec X Smce -=---

8, (d-x)

X

(d _ x) bx = 2cx.A,

Re-arrange equation

bY = 2cx.A (d- x) ; d'

(x(d)2

= 2aG;)(l-~)

Substitute reinforcement ratio p - (A') - bd (x(d)

2 = 2ap( I - ~)

(x(d)2 + 2ap(S) - 2ap = 0

Solution of quadratic equation

x(d = -ap + .j[(ap)2 + 2ap] x = {-ap + .j[(ap)2 + 2ap])d

quadratic equation

It should be noted from the above equation, that the neutral axis position is a function of the modular ratio and area of reinforcement of a given section only-it is independent of the applied moment.

2.2.2 Crack width.

(d-x)

[,= h-x s,E,

In calculating crack width, BS 8007 gives allowance to the stiffening effect of concrete between cracks

where ern is the average strain for calculation of crack width s2 is the strain due to the stiffening effect of[, concrete between cracks.

Substitute OJ= ern+ s, in the equation

(d-x)

/, = h - x (Bro + s,)E,

For crack width W of 0.2 mm

b(h -x)2 £2 =

3E,A,(d- x)

For crack width W of 0.1 mm

1.5b(h - x)2 E.? = cc=c-'--:-:-~'-c - 3E,A,(d- x)

From BS 8007 Appendix B

k "d h 3aaem crac wt t W= (a c) I +2 -'-'-

h -x

DESIGN TABLES TO BS 8007 0 5

where a" is the distance from the point considered to the surface of the nearest longitudinal bar c is the minimum cover to the tension reinforcement.

Re-arrange equation

From the previous equation

f.= (~=;)

6 Cl DESIGN TABLES TO BS 8007

2.3.1 Equilibrium of forces: steel tension= concrete compression

0.87F,A, = OA05F ruxb

, I I 0.87FyA, ,

I X = 0 405F,ub I Momem = concrete compresslon or steel tension times the lever ann Z

M011 = 0.405P~.bxZ since Z = (d- 0.45x)

I Mull = 0.405F,ubx(d- 0.45x) I BS 811 0 conditions

(a) limit x to 0.5d

(b) z < 0.95d If Z > 0.95d then

M,1, = 0.87FyAs0.95d

DESIGN TABLES TO BS 8007 Cl7

EXAMPLE SHEET No. 100

I PROJECT: Water Holding Tank I DESlQN. QF F'ILEJ) BAS_£; Si..0!3

--4mwater

I.

' 1350 ' '

Piled raft I base slab

' ' ' ' ' ' ' ' 600 diameter piles at 4 m x 4 m grids

Note::;:

1) Continuous construction (i. e. no contraction joints)

2) Exposure~- severe Limiting crack width to 0.2 mm

3) Concrete mix (a) C 35A concrete (b) 325 kg/m3 cemert content (c) max. water/c ratio= 0.55

4) Cover= 40 mm

6) fy=460 Type 2 deformed bar

Pu~ = 0.0035

f.tlf, = 0.67

7) Granite aggregate; coeff. of tfcerma! expansior. = 10~6

8) Pile diameter i;; 600 mm

8 0 DES!GN TABLES TO BS 8007

.----------------------------------,

EXAMPLE SHEET No. 101

PROJECT: Water Holding Tank

1 bQ.ADING

I Self wt. of slab = 0.35 x 24 Imposed load (water)= 4 x 10

. . service desien load = 48.4 kN/ m2 ultimate design load = 48.4 x 1.4

= 67.8 kN/m2

= 8.4kN/m2

= 40 kN/m 2

Rt;IHFQKCEMENT REQUIRED.FO.RCOHJRO~ OF THERMAL AND SHRINKA_Gf' Ct;AC_K_S

I Top I

1=~~----·=1 t 350 •f- f I T

Bottom

W=0·2

Coeff. of thermal expansion = 10 6

Use Table A5

For surface zone depth = 175 mm (TOP)

0 = 12 mm, A, = 704 mm2 0 = 16 mm, A, = 938 mnl

0 = 20 mm, A, = 1173 mm2

0 '" 25 mm, ,A,, = 1466 mm2

0 = 32 :"lrr, A,= 1875 mm2

(Tl2 -150 T)

(T16- 200 T)

(T20- 250T)

(T25-300 T)

(T32-300 T)

SURFACE ZONES

h/2 = 175 mm

100 mm

EXAMPLE

Watec Ho!di~g Tank

Fer surface zone depth = 100 mm (BO-rTCiv1)

0 ~ 12 mm, A0 = 402 m'""2 (112- 275 B)

0 = 16 ,,.,m, As 536 mm2 (T16- 300 B) 0 =20mm, = 670 mm2 (T20- 300 B) 0=25 mm, /-,

0 = 838 mm2 ~:-25- 300 B)

0=32 mm, A6 = 1072 mm2 (T32 ~- 300 B)

QE;:BIGtJEQE f~f)(Ug!; - DESIGN AS FLAT SLAB

he = 0.6 m < L/4 4 m /4 = 1.0 m

: Effect1ve spa~ i = 4.0-2/3 x 0.6

I 3.6m

I F0 (SERVICE LOAD) 4 X 4 X 48.4 = 774.4 kt~

I F,[t (~L TIMME LOAD) = 4 X 4 X 67.8 = 1085 kN I BS 8110, Table 3.'9

Ms ·--··--·

Interior span moment 0.071x F0 xI 19BkNm

I 00"'5 f · Interior suppono moment , - . ...; X s X J I =-153 kNm

i

DESIGN TABLES TO BS 8007 w 9

SHEET No. 102

M,,tf

0.071 X F", X ! = 277 kNm

I I -0.055 X F"" K i I = -2'5 k,'Jm i

10 0 DESIGN TABLES TO BS 8007

EXAMPLE SHEET No. 103

PROJECT: Water Holding Tank

BS 8110, Table 3.20

Column strip Middle strip

Span Ms = 55% x 198/2 = 54 kNm Ms = 45% x 198/2 = 45 kNm moment

Mult = 76 kNm Mult = 62 kNm (kNm/m)

Support Ms = 751, x -153/2 = -58 kNm Ms = 251, x -153/2 = -19 kNm moment Mult = -81 kNm Mult = -27 kNm (kNm/m)

d2 Allow Max. cover= 40 + 20 = 60 mm d, 0 K20mm0bar W = 0.2, F,c = 35, cover= 60

40 mm cover USE TABLE B28

Column Middle Column strip strip strip 2m 2m 2m

rT20-200T T20-200B rzo-z06'r Column strip E ~- I! J! • N 0 f' ~

"'-----? "--------?

Jf-200T T16-200B

H T16-200T

Middle strip E J~ N f' >= ~

"--------? I~ T20-200T

J!

T20-200B

I~ T20-200T

Column strip E ~- • N ' 0 N ~ N ~ ~ Note: Two-thirds of reinforcement required to resist the support moment in the column strip should

be placed in a width equal to half that of the column strip and central with the column.

SUMMARY OF REINFORCEMENT REQUIRED FOR FLEXURE

DESIGN TABLES TOSS 8007 :i 11

EXAMPLE SHEET No.

PROJECT: Water Hclding Tank

~ UJtJmAt:.¢( .. J::;;hefor

I Ui~J;y;ate shear tracsfer w p'le "' 10B5 67.8 X (7t X 0.62)/4 = 1066 KN 5S 8110, Table 3.19

I T ota' coiUir.nfpile moment= 0.022 x 1066 x 3.6 = 85 kNm

1 d1 350 40-10 300 mm ]

I' = 290 mm

d2 = 350 - 60 10 = 280 rr.m I

I First critical pedt""eter (1.5d frorr. column face)

I• :; : ~:~g + 2 X 15 X a) . =5880mm ' I vrft = 1066 X [(1 T 1.5 X 85)/(1066 X 1.47)] i 1154 kN

I V = (1154 x 103 )/(5880 x 290) = 0.68 H!m:r2 I A" 1571 mm2 ("20 ZOOT)

1001'\lbd 0.54 V, = 0.62 l'/mm2 < 0.68

. iNCREASE REINFORCHENT LOC/'.L TO COLUiviH SlRIP

To T2C - 150T, A*= 2094

100A,Ibd = 0.72, V, = 0.683 > 0.68 N/mm2

Use - 150T column strip/support.

I

12:::1 DESIGN TABLES TO BS 8007

I EXAI\IIPLE ____ --S-HE_E_T N-o~·-_'_:J5--···~ p_ROJECT : Water Holding T ar;k

Check shear at colu~ten face

2.'.1 N/mm2

Ultimate span moment;= 277 kNm

! d2 = 280 rmr : I tv!!b&'-2. = 277 x 1o";c:ooo x 2802

1 = 0.88

! tvODIFiC'\TIO~I fi\CTOR FOR TEfJSiON RE'I,IFORCEtv1ENT

"'1A4

;::::: 1.44 X 0,9 X 26

~ 33

.Actual span/d = 4000/2BO = 14.3 < 33

../ OK

i I

DESIGN TABLES TO BS 8007 013

"'otes to Tables Al-A6

L The tables the area of reinforcemer.t in rm:1 2 required for control of thermal and shrinkage cracking ln each surface of the concrete surface zone.

2. W is the permissible crack width in nn For severe or very severe exposure W = 0.2 mm. For critical aesthetic appeamnce W = 0.1 mm.

3. Coe!T. of thermal expansion is the coefficient of thermal expansion of mature concrete, usually taken as 12 x I o~6 . BS 8110 recommends the following

Aggregate type Coefficient of expansion of concrete ···············--····--+--

12 X JO~E Flint, quartzite Granite. basalt Limestone

10 x w~• 8 X JO~S

4. Bar Dia. is the diameter of reinforcement in mm.

5. Tl..,.. T2 is total temperature due to hydration and seasonal variation in °C.

6. Surface zone depth is the surface concrete depth in mm as specified in Figs A 1 and A2 of Appendix A BS 8007.

7. In the calculation of the tables, bond strength of high yield deformed type 2 is used, i.e.fo,//b 0.67. (In view of the very marginal cost difference between deformed high yield and mild steel bars, there is no cost advantage in using mild steel bars.)

8. Minimum reinforcement assumed is p""' = 0.0035.

9. For design formulae refer to section 2 .I.

14 0 DESIGN TABLES TO BS 8007

Bar Dia.

12 12 12

12

12

I 12

16 16 16

W= 01

" 20 25 30

40

50 55

•• 65 70

15

30

Coeff of thermal exoansion = 12E·6

Sl ZONE

100 112 125 137 150 175 200 225 250

362 405 452 496 482 540 60:: 67 724 81C 844 ... ..946

1685 1930 211 2.,2 1080 '216 . 1899 217 2442 2 14

.......... 1206 '351 .......... 1327 1486 2322 2653 2885 3317

1447 1621 1009 1963 289-! 3256 3618 1008 1 ?56 1686 1!JB1

482 54C 603 661 '24 844 96C 1085 1206 643 72!J 804 881 965 1',26 1286 ... 1447 1608 8U4 900 1G05 11C 12UC 1608 1809 10

'1286 1441 1608 1162 1930 225 2573 2894 3216 1447 1621 1809 1983 21 2$33 2894 3256 3618 1oce 1801 2010 2203 12 2814 3216 3618 402G

" . os . 1 roe 1 !!B1 22· 2423 2653 3095 3538 39&c 4422

~==~"=i===it60==i=j1~930=+=~2Z1'~6~j2~41012~=~2~~4t=2~8~~=j~G~7=+=~3~¢9t=~4~M2=+=~4824 16 .. 65 2090 2341 2613 28134 3136 3658 4181 4703 2251 2521 2814 3084 45(}2 5065 20 15 603 675 54 826 l?05 1055 1200 1357 1500

20 •• 1809 2026 2261 2478 27' 4 3166 3618 4070 4523 ,. 2()1 2251 2513 2754 30'5 3518 4020 4523 502tl-

20 -+ .......... .,•:;c...·-~22m.;,....+-~ 24117~6t-2~7~&4;...-.J-~ 302~9+3 :3' 4422 49l5 5528 -20 60 2412 L/U1 oU1o O332 035

25 .............. 1> 844 942 1033 131 1319 1508 'c696 1884 ~-2~'-1--~··---t····,1~.w ~"+-~'1~m~,1~256~·~·~,,~·-;~···~··~··~· 4-~1~7s··~·s···_·····+-~201~0~2~261.4 2513

25 25 1256 14Gf 1570 1721 1884 2198 2513 282; 3W ....... 25 30 1500 1688 1 884 2065 2261 2638 3015 3392 3769

.. 1759 1970 2198 2459 3518 3957 4397 zo 4l1 2251 •1J zro4 """" 3518 4020 4523 5025 25 •• 2.....;5:;008;:;.-8+-_.;:55:.;;553':'---l 25 50 2013 2814 141 3442 5025 5653 6281 25 55 2764 3095 3455 3786 5528 6218 6900 zo •• 337i .>roo 4131 6030 ....... 6784 538 25 •• 3260 """" 4083 4475 6533 7349 8166 25 70 3518 3940 ....... 4397 4819 5276 7035 7914 8794

J2 10 1200 1J£L 144/ 1930 : 217' 2.,2 32 20 "2Bf. 1441 608 1>62 1930 2573 . 2894 3216 ... 3l 25 cEiJ8 1801 2010 2203 2412 3216 · 3618 4020

~~ ~~ '930 ...••• ~ ;;~~ = ~: 3377 ~ ffif ..... m~ ' --il~2-+~~ .. ~··~~~t::!= .. ~ 3.6~i118~=~ 3966~5==~ 434t:j2~ 6512 7236 ' ;~ :: ~ 3602 :~~ ~~ ·······~~ ~~;~ 6~; ;~~~ ~

32 '"' """" 43LL 40L4 o2B! 5iB9 6704 7718 8683 9648 32 •• ""' 4662 5226 5728 : 6271 '316 8362 940 0

DESIGN TABLES TO BS 8007 Cl15

TABLE A2

·-·-~~··--··---··--~~-~~--··--··~-··-~·

w- 0 1 Coeff of thermal exoansion- 10E 6 - - -.. ~

"" ZONE BarDia. !l.:!:TI 100 112 125 137 150 175 200 225 250

11 15 350 392 438 480 s; 6' 8~ 12 l2 5 6 lUl 1Z )3 6 188 lZ'C

" 126 .~ '" lbl 12 )4 " ""' 110Y

12 40 eu• Jb 101 "'' "'' loOB '&!" 2010 12 45 8'J5 1010 :131 12oo 13bl 1583 1809 2D35 2261 12 •• !JOE 1126 1256 1377 508 1759 2010 2261 . 2513_ 12 .. 1106 1238 1382 1515 1658 193 221' 2487 2764

.. 12 "" 1208 1351 1508 1652 1809 211 2412 2714 .. 'u"' .. " ... l,j\JI 14M 1633 l '"" ... 1>J(jU .. """ 2510 .... ""'u o 30 125 1407 1570 1884 2198 2513 01141 .. 35 148 ;42 i 2198 """" """' """" 3bb4 .. •• lbl " ""'" '""1 """" 3fbB 4188 25 •• "'" 11 ;!' £62, 3""8 3769 424() 4711 25 50 2004 '"" ""' 2600 3141 3664 4188 41 5234 25 55 = 2000 28/B 3100 045: 4030 4606 5182 5758 25 60 2513 2814 3141 3442 3769 4337 5025 5653 6281 25 •• 2722 3049 3402 372ll 4083 4763 5444 6124 .. 0000 25 2931 3283 3664 4016 4397 '""" 32 15 804 BOO lOOt 1101 1200 140/ Hill8 1809 2010 32 20 1072 .. 1201 1340 1468 Hill8 =i= Hi

2412 2680 "2 25 134C 1501 1675 1836 2010 3015 """"' 32 30 Hl08 18()1 201C 2203 241£ ""'" 4UZU 32 35 10/b L1C1 Zl4t LofO ;1814 3283 3152 4221 """" 32 .. 2144 £401 268C 2JJ37 3216 3152 " 88 4824 536() ····"' 45 241 2101 30 3304 3619 4221 48 24 542; 6030 32

"" 269( 3002 335 3672 4U£U .. ~~J "' ou oueu b/UU 32 .. •• L"'' """ 4UOB 442

16 0 DESIGN TABLES TO BS 8007

TABLE A3

W-01 - Coeff of thermal expansion- BE 6 - -

SURFACE ZONE DEPTH

Bar Dia. T1+T2 100 112 125 137 150 175 200 225 250

12 15 350 392 438 480 525 613 700 788 875 12 20 350 392 438 480 525 613 700. 788 875 12 25 402 450 503 551 603 704 804 905 1005 12 30 482 540 603 661 724 844 965 1085 1206 12 35 563 630 704 771 844 985 1126 1266 1407 12 40 643 720 804 881 965 1126 1286 1447 1608 12 45 724 810 905 991 1085 1266 1447 1628 1809 12 50 804 900 1005 1101 1206 1407 1608 1809 2010 --r---12-- 55 884 991 1106 1212 1327 1548 1769 1990 2211 12 60 965 1081 1206 1322 1447 1688 1930 2171 2412 -- 12 65 1045 1171 1307 1432 1568 1829 2090 2352 2613 12 70 1126 1261 1407 1542 --1688 1970 2251 2533 2814

16 15 350 392 438 480 525 613 700 788 875 16 20 429 480 536 587 643 750 858 965 1072 16 -~- 536 600 670 734 804 938 1072 1206 1340 ---- --643- --720 804 881 965 1126 1286 1447 1608 16 30 16 35 750 840 938 1028 1126 1313 1501 1688 1876 16 40 858 961 1072 1175 1286 1501 1715 1930 2144 16 45 965 1081 1266 1322 1447 1688 1930 2171 2412 16 50 1072 1201 1340 1469 1608 1876 2144 2412 268~--16 55 1179 1321 1474 1616 1769 2064 2358 2653 2948 -16 60 1286 1441 1608 1762 1930 2251 2573 2894 3216 16 65 1394 1561 1742 1909 2090 2439 2787 3136 3484--16 70 1501 1681 1876 2056 2251 2626 3002 3377 3752

20 15 402 450 503 551 603 704 804 905 ~~-~~ 20 20 536 600 670 734 804 938 1072 1206 1340 20 25 670 750 838 918 1005 1173 1340 1508 1675 20 30 804 900 1005 1101 1206 1407 1608 1809 2010 20 35 938 1051 1173 1285 1407 1642 1876 2111 2345 -- -20 40 1072 1201 1340 1469 1608 1876 2144 2412 2680 20 45 1206 1351 1508 1652 1809 2111 2412 2714- 3015 20 50 1340 1501 1675 1836 2010 2345 2680 3015 3350 ---20- - 55 1474 1651 1843 2019 2211 2580 2948 3317 3685 20 60 1608 1801 2010 2203 2412 2814 3216 3618 4020--20 65 1742 1951 2178 2387 2613 3049 3484 3920 4355 20 70 1876 2101 2345 2570 2814 3283 3752 4221 4690

25 15 503 563 628 688 754 879 1005 1131 1256 --25 20 670 750 838 918 1005 1173 1340 1508 1675 25 25 838 938 1047 1147 1256 1466 1675 1884 2094 25

- ,----30 1005 1126 1256 1377 1508 1759 2010 2261 2513 -

25 35 1173 1313 1466 1606 1759 2052 2345 2638 2931 25 40 1340 1501 1675 1836 2010 2345 2680 3015 3350 25 45 1508 1688 1884 2065 2261 2638 3015 3392 3769 25 50 1675 1876 2094 2295 2513 2931 3350 3769 4188 25 55 1843 2064 2303 2524 2764 3224 3685 4146 4606 25 60 2010 2251 2513 2754 3015 3518 4020 4523 5025 25 65 2178 2439 2722 2983 3266 3811 4355 4899 5444 25 70 2345 2626 2931 3213 3518 4104 4690 5276 5863

32 15 643 720 804 881 965 1126 1286 1447 1608 32 20 858 961 1072 1175 1286 1501 1715 1930 2144 32 25 1072 1201 1340 1469 1608 1876 2144 2412 2680 32 30 1286 1441 1608 1762 1930 2251 2573 2894 3216 32 35 1501 1681 1876 2056 2251 2626 3002 3377 3752 32 40 1715 1921 2144 2350 2573 3002 3430 3859 4288 32 45 1930 2161 2412 2644 2894 3377 3859 4342 4824 32 50 2144 2401 2680 2937 3216 3752 4288 4824 5360 32 55 2358 2641 2948 3231 3538 4127 4717 5306 5896 32 60 2573 2882 3216 3525 3859 4502 5146 5789 6432 32 65 2787 3122 3484 3818 4181 4878 5574 6271 6968 32 70 3002 3362 3752 4112 4502 5253 6003 6754 7504

AL1

DESIGN TABLES TO BS 8007 0 17

TABLE A4

W=0.2 Coeff. of thermal expansion= 12E-6

~· 7l"lf\IF DFPTH ioo "112 12s 137 150 "lis 200 225 250

35e·· 392 ... 438 480 525 613 fOG 788 87 350 392 438 · 480 s25·· 613 70C ·· 788

12 25 350 392 .. 438 480 525 613 ?OC 788 12 3o .. 362 405 452 496 .. 543 633 . 724 814

12 55 653 743 19 lOS 995 161 1327 1492 1651 12 .. 724 810 805 981 1085 1266 1447 1628 180

12 ... 784 878 980 !074 1176 1372 1568 1764 12 ro 844 946 1oss 1157 1266 14;c 1a88 1 ees

16 15 ""392 438 525 613 700 788 .. 16 ·zo 350 392 438 480 52$ 613 ?CO 788

16 ··· ··· 20 452 450 so3 ···· ssf eo: ··· 704 ··· so4· 905 ""1s 30"" .. 482 540 .... so: 661 .. 724 .. 844 965 .. 1085

. ,. -,. 563 .. 830 704 .. 771 .. 844 985 .. 1126 1266

87 875

.. 005

16 60 965 1081 1206 1322 ~7 1688 1930 .71 2412 16 65 104E 1307 1432 1568 1829 2000 2352 2613

1S ro 112s 12s' 14o1 1542 1688 1sn 2251 2533 2af<

20 15 35( 392 438" 48( 525 513 788 87

t ~: ··-· f.-.... ··.···-;~::-:-·-+-.~; .. ~ ;c.-;+-.,;;;; ~;-~f-~~~··-+---i: :.;; ..• ~ ~!-···~ ~!~+·· ---:~ 7;;;':"79,;. .... -t--7'1'::,;·~· .--11-··906";13~.,- .. 1 ~ 1--··.·-~~·-4--··~~~--+--··-:;~~~··-l····~;~7~s····-l- ~~-·· l~··~~~····-+-~1~,~~:5 +;;~~~,;~'-f-~;;~~··~--;~;~s7~·+-1;1 s7~~oo~--l

.. 004 . 900 1005. 1 J6 1407 16 " 2010 4lf •05 1013 113' . 1: jg 1583 1~ 2281

1---;;.-20 --1---·~ •• --·+-~20:6~-+--.;: 1501 11 '809 21 2412 2714 301: to 65 1307 1462 1633 1700 1960 2286 2613 2940 3266 ·20 7o 1407 1s1a 1759 1s2s 2· 11 2482 2s14 3166 3s1a

,.. 422 41 -51 6 54 848 942

·· zs ·· 35 s79 985 1099 · · 1:mr 1s1s 1539 1759 1a1e 100 25 .. . "1005 126 1256 1~77 "1508 175!i" 2010 . 261 2513

25 .. 1508 1688 1884 2065 226' 2638 3015 3392 3769

:12 15 482 540 603 56 724 844 '*" 108! 1200 -,, 2o 643 720 ·· 604 as·. · 965- '26 1286 1447- 1soil 32 25 804. 900 "1005 111)1 1206 14( 1608 1809 201(

32 -.0 1286 144', 1608 762 193C 22( 2573 2894 3216 32 -.. 1447 162 1809 1983 211 2533 2894 3256 3618 32 so 1ooa 2010 -2203 24T2 2814 3216 3618 4ozo

32 ... 55 1769 98 ""221 2423 2653 3095 3$38 3980 4422 .•• "" .,930 16 2412 2644 2694 3377 3859 4342 .. 4824. 32 _.... 2090 .. 3·f 2613 2864 3136 3658 4181 ... 4703 5226 32 70 2251 2521 2814 3084 3317 3940 4502" 50€5 .. 5628

18 0 DESIGN TABLES TO BS 8007

TABLE AS

--;:;;--:;~---------:;;c--:::;--;:-;-;;--~-~~ '~--~

W- 0 2 Coeff of thermal expansion = 1 OE-6 L •••

ZONE' DEPTH

Bar Dia. T1+T2 100 112 125 137 150 175 200 225 250

12 12

12 12

12 12 12

············'' 12 12

16 16 16 16 16 ... 16 16

15 350 392 438 480 825 613 700 788 8~

.. 4UO! 400 503 551 603 104 804 905 005 45 452 507 565 620 676 791 005 1018 131 •• 503 563 628 688 754 379 1005 1131 1256 ., ooo 619 lot········ ...... ..szs as; 1100 1244 1382 so ouo "'" 104 826 905 w"" ·····1206 1357 1508 •• 653 732 s,; ··· · 895 sa0 4&J 520 700 788 87• 20 3bU 392 438 480 525 61 700 , 88 87 25 35( 392 438 480 525 61 00 788 875 30 402 450 503 551 603 704 604 905 1005 35 469 525 586 643 704 821 938 1055 1173 40 536 938 1072 120€,- 1340 .. "'" or ro4 .... """ sos 1oS5 12os 1357 1508 __ 50 670 7&0 836 918 ODE 1173 1340 1508 1675 •• 737 825 921 1010 ···········06····· 1290 1474 1658 1843

.. 804 900 1005 .. 101 1206~ 1407. 1608 1609 2010 " 871 1742 1960 2178

20 1313 1466 1759 2052 2345 2931

25 ,. 350 392 438 48() 525 613 00 788 875 25 •• 4' 469 sz3 ······574······· e2e 733 s3e s4z 1047 25 25 s: 586 654 17 785 s1e 1047 ra 1309 Z5 " 1099 1256 1413 1570 Z5 , " 0;

DESIGN TABLES TO BS 8007 :J 19

TABLE AS

-------~----~-c--···~---··--~···--~···~-w- o 2 Coeff of thermal exoansion - 8E 6 - - -70NF

B~rDia~ T1+T2 100 112 125 137 1so 175 200 225 250 ' ff 15 350 392 438 4$C 525 613 rOC /88 87

12 20 3SJ 392 438 48:' 525 613 700 '88 87 12 25 '350 392 438 400 525 613 70C 788 B?e 12 30 350 392 438 4BC 525 613 70C 788 875 12 35 35( 392 438 48C 525 13 70( 788 875 12 40 35C 392 438 4: 525' !3 ?ot 188 875 12 .. 362 405 452 4: 633 724 81< 905 12 402 -,5o 503' "' 603 704 804 sos 1005 12 55 442 495 553 "'

6£3···· 74 ----

884 .. 995 -1106 12 ······ 60 ... 482

... 54G 603 66' 7'24 844 96E 1085 1206 -,2 -65 s23· 585 653 716 ·-784 9i5 1045 1176 1307

12 7if -563 630 704 77' 844 985 1125

16 15 39:f 480 525 613 700 788 87 16 20 350 392 438 480 525 613 roc 788 875 ,. 25 350 392 436 48C 525 613 70C 788 875

1if 30 350 392 438 48C 525

~ 70( 7M 875

1if ..,.. 375 42!l 469' 514 563 750 844 938 16 40 ''429 -486 536 587 643 858

...

865 1072 16 45 482 540 603 6£', 7?.4 844 96E 1085

.. 1200 ,. •• 536 sao· 670 .. 734 804 938 10'12 1206 134ll. .,. .. - 590 000 737 8C6 ... 884 .. 1032 1179 1327 1474

1if fill 643 ... 720 864 8Jj 965 1126 1286 1441 1600 ,. 65 ~ 780 871 955 1045 1219 1394 156~ 1742 16 1025 12£ "" 1501 1681 1876

- .. -,. l5C 392 438 48C 525 613 70C 788 875 20 ... 35C 392 438 48C 525 513 70C 788 875 To " 35c 392 138 48C -525- 613 700 788 87 20 30 45C 503 s5· 603 704 sc4 905 1005 20 .... 35 469 525 386 643 ..

..

704 '82' 938 105< 1173 .... 20 .. ·--- 536 Goo 70 734 .... 804 ... 938 1072 1'206 134c

20 .. 603 ... 675 754 826 905" lost 1206 ... 1357 1508 To so··· 670 ... '50 .. 838 ... s18 1005 173 1340 1508 1675 To 65 737 825 921 1010 1105 129C 1658 1843 20 60 8b4 -900 '''jjj()5 1101 1206 140 1600 1809 2010 20 .. 87 976 1089 1193 1307 1524 1742 1960 217B •• to 938 105: 173 1281 1407 1642 1876 2111 2345 25 15 35t 392 439 4& 525 613 ?ot 188 875 25 20 '''330' 392- 438' 480 525 613 700 '88 87C .. ···-- -----25 25 419 469 "523 574 628 733 83< 942 1047

25 20 503 ...

563 .... 628 688 '54 879 1005 1131 1256 20 " 586 657 733 .. 803 '"879 1026 1173 1319 '1466 25 ....... 67t 750. 838 918 1005 173 i} 1508 1675 25 45 .. 844 942 1033 1131 1319 1696 1884

25 50 838 938 1047 1147 125E 146€ 1884 2094 25 55 92 1032 '52 1262 1382 1612 1843 2073 2303 25 50 '005 ·126 12$6 =! 1508 1759 2010 ~~· 2513 25 .. -059 0219 136- 1533 1 2178 2722 25 293'

-32 15 350 392 438 48( 52E 813 7()( 788 B7 .. 32 -;n ... 429 400 536'" 587 .. t\43 ... 750 BSB 965 1072 32 25 536 600 61( 734 804 938 1072 1206 1340 32 30 643 no 80< 88 965 1126 144 1608 32 35 750 640 938 1028 12( 131C 150' 1688 1876

32 ....... 858 9€ 1072 1175 1286 1501 1715 193( 2144 32 .. 965 1081 1206 1322 144 1688 1930 2171 2'12

32 50 C572 1201 :340 1469 '1600 1876 2144 2412 2680 32 ss· 179 132 1474 161E 1769 2064 2358 265: 2948 ...

32 ...... 1286 1441 !608 1762 ... 193( 2251 2573 2894 3216 32 .. 1394 156' 742 1905 .. 209[ 2439 2787 3136 3484

1531 1876 2ti5B 2626 3002 3752

DESIGN TABLES TO BS 8007 0 21

Notes to Tables Bl-B36

l. The tables give the service and ultimate moment capacity in lu'\fm.

2. Slab CiiiiiJ is slab thickness= 300 mm. 3. Reinforcement.

DIA. is the reinforcement diameter ln mm. cjc is the spacing of the reinforcement bar in mm. As is the area of the reinforcement in the tension zone in mm2 per l m width of slab.

4. Ms is the service moment capacity in kNm. Mult is the ultimate moment capacity in kNm.

5. Crack "idth is the permissible crack width in mm under flexural load. For severe or very severe exposure crack width= 0.2 mm. For critical aesthetic appearance crack width= 0.1 mm.

6. Cover is the concrete cover to reinforcement in mm. Minimum cover specification in BS 8007 is 40mm.

7. Feu is the characteristic strength of concrete. C30 concrete does not strictly comply with BS 8007 in durability and should therefore only be used under special circumstances (e.g. when using galvanised and epoxy-coated reinforcement. temporary structure, special design mixes).

8. Reinforcement is high yield type 2 deformed bar with Fy=460 Njmm2 (In view of the very marginal cost difference between high yield and mild steel bars, there is no cost advantage in using mild steel bars.)

9. The tinted areas indicate areas of reinforcement below the minimum level of (a) Peri< 0.0035 to each surface zone (assume half of slab thickness or 250 mm} or (b) 0.0013 of the gross concrete section as specified by BS 81 J 0.

!0. For summary of design formulae refer to sections 2.2 and 2.3.

' i

TABLE B1

~~~M00:-!~9 1 200 I I 22s I I asp I I 276 I C:wcJ I asp I l 4op I I 4so i I spq I I §()O I I zso I COOi[J ~ -~ fit ;.~ . ~; __ r.: ~ ~ ~ : M6~11 ~ ~ ~ M7~t M.!o M~ll Ms ! Mllll M.!o Mull 1M I MllJI Ms f MllJI 1M i Mute M• f Jll~ll, rn

10 125 ... 19 37 24 43 29 -[49 35 '" 42 61 56 73 I '"' ;(;,, t E} '1o·-·, 150 624 '18 .. 31 . 22 --:i;:--t- 41 . ;,s- ,,_ .>J/< 1,,. i+-''• I·; ' ii Fi''~';; ;,,,,_ ''i!i.,. •.w••;i; •:11

1 ,

l _

~

-... .. SlAB

:EINFORCEMW~-- l2oo lllzas lllaso I 1 ' J As

H" I ~"0 ~--i ::: ft:l~tl:±:!: I tru~ I MYll

-l~--1-1H::1 WH~'9

,_,ii,:,,--'~--'-.;;"',;_+*-+--;;;;,---~--iiii 1=~~~~~-~i~~t-iH~-~-i~=t-=-~~~~1 ~~ :~~~~ I ::.:tr:~. mt f~ ··~ Jht t~- ~jL ~~+f: ~~ n n~ - ~

1--

TABLE B2

I la5p I l4po I I45Q. lsoo l lsgo I lzsp. lgoo I

102 I .., 83 "'

52 -50

119 100 -,001 .?.~-- 1 11a 1 91 1 135 rm

1 2{)9 1 rom_ 249 1 11s ; ~ _ ~ ~;;r-h;;r-tT;o,

SiCI.l'i

17

\··,· ~t~i~~~~~fi~l~~~ __ !!:__ _1~-- --~l_1JQ __ ~J1T-00 1Xl 87 ' 149 107 67 --c~~- =;-] ~~~ -yre--· 429 167 492 229 -~ -148 400 2)2

+~rl-Ec--Gc~- hiii-+~;-t--;;;;--+~H---iiii>n:cm -·- -132- -3.w- --184

1~~f-~-f~i=~~=f~l=f:1~~~~~~~~~~f=fj""'~ 1~ 295--172-104 Z9 -- 116 --261 -- -f64---a&-- --,H-+1 --i:m~-+-i,-Esai-H;;;E-+7ii-;--l-~~ I c:u I :.!:Ita- I 11~ I 11 I ::a I Z.:: I 6/ I :U

t-7~+-,"H~+-E:C-+~;-Hii----H:ii-+-ii~-J __ ,~= --,o? r"200"'--,--t-,-,""'" ___ r~rr-t--o""

.. l 45 l 121 I 58 I ,., 86 4.} 121 5J 162 ~~ .J~.

52 I too I "' I

123 I 39 : 142 I 48 I 162 I e1 I ·;m

269

0 m (/)

Gi z ~ OJ r m

32 ~~ 8042 41 -~ 11~- _J:?._ . . :!.~- 91 ~2 110 253 150 374 192 5!~- -~-- --~!. -~~--- 87B- -~7~ --~3~ 536 .1~~1 _.1.1j_l_?40 ~ 32 125 6434 49 ; 116 63 156 78 2J2 S3 :i53 123 519 195 687 232 866 312 1124 446 1510 596 i 1896 -. ~2 __ ---~~5~~~ =~~~~=- 44 j 116 56 156 -~ 2J2 "81 . -~-- .. ~¢3-- " 100 "'"7S6 ___ 268 971 385 1292- ~--··1! 1~:~ ~ 32 176 ~ 116 ffi 156 61 202 72 253 96 374 121 485 14i ~!? 176 669 Z37 853 344 - 11::29 46'/ '1404 (/) 32 200 14021 28 37 116 -46 15(3 sa- 2:;2 oo· !253 87 358 109 438 133 19 1!'59 -599 215-- 700 -314-- f001- "431'""'1'2

TABLE 83

.:Hc~5_LAB I I 200 I I I 225 J I L25o:::::J I L_m I I L 3ll0~1 I35Q •1CilrJII4!i1l 'llsoo 'lls7 i " ... CJ

I zsQ--i [909- --) ~

llJ{!, !;1£ As Ms I MYl! ~ ' MYJ! ~ Mull -1}-- -~-~ -~-~-- -}~--- --~--· --f~-;- -~- -· --~---1~-~--~~-- -~~--~- --;~--- ~: ~- --~-- :

14 21 ;::·.t::~~-~-----

12 100 1131 17 55 23 12-- ~125 905 16 : 45 21

11i-l~ ffi • l! I ~ -~

Ms MYJ! 32

--31 29

"' I ro [ 42 fool ~-3~---~ _72 -- --~ 81.__

51

~ I~-

1- ~- ~~- ~~- ~. ro

il]l~~~~~~ 231

0

~ 0 z :;;! OJ 1;; (f)

-1 0 OJ (ll

-l~fl'~~- -~~~l- -f~- ~- ;,:: t: I ;';' I ;~ I i;; I ;~:1 ~~- I ;: I ~ I :'! 1-~ -I ~ j ;~ I ~ I ;~ -I ~ "' 0

=,-l-.,,-+-,=-i ~

1Ef- --150 1340 18 62 23 - ---- --. j _ ·:,s ·- -1..,.--- -•.-i:ra-~- -.e:tf-- --,_-_

a•• '~--t-~ 1-: 00 ___ --~.!_- -~- 38 ~~ __ ::-"" Ot I,.

TABLE B4

,~ 5,Lf\6 1 1 zoo 1 1 1 zz5 I I I zso I I I zzs I I I aoo I I I a5o I I I 4oo I I I 450 i I I 50o i I I soo i I L15ii I I l9oill OIA. c/c I As Ill!! MuH Ill!! ! M!lii- Ill!! I 'dY1t M.• -- Mult Ill!! !Jl\t~ Ms I .Ml!!l M!' I Mult M.!! I .MJ!!l Ms .Ml!!l Ms .Ml!!l Ms · MIJU Ms j_ Mull

_:~ :~tt ~: _;~ . ~ ... :JJ 19 .. ' ·-~. ;:: !:- ~ ~ -- i ~- : +"" 1. 'i ' ;~ r:_,i _:, : I< '/'i.e: ,, ,, >j.;· '::: .• ·.··" ·.· .. 10 ,.., J __ 02_4_ 14 27. 23 -~2 .•. •;,;;:·;.';'''''''" .-· ::: -,.z .• j ''''·' •··•···'·· ',;';,' ).' :~ ;~ i : ii ;; '''"''(< . 22 :c;,

l

TABLE B5

~ ~~-~- I 299 I I 22s • I 2so • I 275 I I agp • I 3SQ • I 4QP I ~ lt Ms f,!yJ! M.l Mb!ll Mo I M!>lt Ms i Ml!l! Mo I Ml!l!

~~~1~ "'". ~~t -~;;_ "-~~;~ ·- ;; -i~ ~ - ~ -- ·--~--- ~ --~ l : :t;- - :; 65 ;,·-~~--, 10 i 150 524 13 26 17 3'1 22 f~

TABLE 86

ceMENT~~ I 200 I I 221 I I 2§9 I I 2zs • I aoq t I a® t I 4op I I :~sp I I sop I I ooo I ruB. I

--107 93

66 07

I zsg • [jOD Mt~

I 20 112s _25i:i is 88 21 oo -~--1 i~ : f+~ 1 42 20 100 2094 14 66 2( 94 26 115 32 i 1:3

--20 175 i 179ti" - 14 - 66 84 --~- Htr- --31(11 ~~)~--~~~- 1~71 __ 13 ____ eo 1a 1.? 23 ··at--~- 29 1c ~ _1~~- -~~6 13 ~-- - !8 68 23 -~- __ ?8 __ ~

2!!_ 250 12~7 __!3 50 17 63 --- --

182 r·ffi.-.:::r::m . -!~I__ --~--

" -no 52

5C -... 7s ·oo· r 333 ??_____ -91 282

88 63

87 i 245

a4 ·r"'" 194

--1-7€-

H:~+·~ncJ]itga.~F.r-.•~~;2i-~· -5li -~ -~-- -~ r~--~~~]-w-20 i 27& 1142 .L..l! 46 1]_j 58 oo I .21 I e

t

---... ;~SLAB

DIA, I cl~ A~

1 .. '"-t-i".._j_ .... _:l::jg __ 10 -j -;;_~-=:--ill----~~ ,~2-·-

10

-,-poo 1 m1

li i~~~i 24 2'

:1(:

18 17

63 I X

22

~li::~!~iliJJt ~~ I 30

: I ~ I :

--y.r 6'

51 ..... 38

27 I '"'

----3::: X

28 2'

86 I 44

=i--1-i .. .. "'

97 ~19

6€ -51:

133 113

--ii-__ Li_i~ 1s hzso-16 -----

c-~o:;-- 7~ : ~------ :-I-~-=r~LI "' 86 7 804 19 46 23 54

-18 . 42-- -22 49 28 I ss I 33 I 63

20 100 3142 41 124 51

nr~ m ~m ~r~~ ~ 20 20 -·-j 22 ~~- -- -i~~~~-~ :1-

-~~LliiiJ~i8~~--··· 25 2f .

;:;---

1~ [_; Y\''"

168 201 Z33 144 100 194 124 -;oo

163181 163

Ill

37

~~-~-l-~~2 r: ffi

49 170

onnTg~-~+~ . 30 1107 fiT;:~-:_ ~: 23 99 ,..,.,. •• ,. ••

TABLE 87

l Mult

s2 1 100 87 --,o 62 55

I asp l I 4po I I 45o I M$ Mull

00 131 '87 100 114 62 105 79 00 139 57 87 55 75

" ~

-~?_L-~j t~F~~Ti~ 70 98

r140-r21 I\M~2j--

153 -~; ~1~1 ~~~~~.~~:0-r-1?511~ 114 32i

Gi:ii-hc.i'-+ 270 137 1~_1_66_ 320 139 --271-123

453 1']15 ~ 812 ~r m

478 39J 580

73

~=~~~Tf ~~~~~ 418 -~ ~:

~~-~_:l3

-· ~" TABLE B8

E!~~OR~EMENi ~~~- I 2po I I 225 • I 250 l l 2zs I I apg I I Jso I I 400 • I 4so t I spo • I spo j I zso i em:-; DIA clc AE M£ .MY!! 1 MY.!! M!!!! M.P I M..uJ! M.l! MY11 & MY!! .M.;! Mult Ma I MY.!! M! .M_ult M! MY!! Me l Molt Mt; I Mull

]g.___ 1~~--- 78•--l-,-:-- 42 57 34 65 40 r. 37 72 102 :.•.·•·•:•::1-:'L"'· .. •, uA .-.•.•:•>·':+t·• 'L' I __ 10 .!~~ ••• " 34 40 46 32 52 "' _ " .- ·132 "" 149 " , .

16 250 r-804 16 ' 42 "' . 50 - "" 00 1 104 84 119 ,, . 1s .55 ""' · is : -38-- :--"" 49 25 sa ~ oo -:l.j- .., -"' : e. p •• ·- J'Li:L:! ···:x:·c it''·. ·: ··•::-:·. ,

1

-20--h~- ~!~~-~ '1ffi 38 146 47 186 57 218 67 249 00 312 _!_1_4 __ •. ~?? _ _1_~1 ___ -~ .J.~ 500 ~~- --~-- -~~--- -~)_1 __ -4~- 1~ 20 125 ___ 2513 __ ,;_ 1(6 _ _33 ___ 132 41 _15!_ 49 1e2 68 _201 ra 257 se xa J~-358 .. _t47 __ '1')3 __ 2(]4_-.~-~--"'7 422 ooo

._~~- ! !~-- -f~- -~ --~-- -~--- --~~:-- --;; ~~-- 44 _; Hi ~ 219 ~- : i~ ~ ~~ -~ -+;~ ! ~- ~- -~ ·-fm··· --~i ·2rr--I--2oo 1571 -20 ~- 25 w-·--3~ 100 ·~- 155 --~--·-~- oo Zil-- 117,._261 1E6 -3i1 ___ 254 ___ ~,Hr- 362 soo .w··t -225- 1396---19- ·-er-·· ·24 e1 20 -ro 36 42 73 {79 a2 ·2oo-- _112 232- 159 285 246 31£ 35.1 445 . ' ... . --- --·-- -:o- -oo--- ---- -- ....... ... .. . . .. ~~ ----· -- -· ;~ .. ~~-- ~~~-- ~;-- :- ~ - ~ ~-- --~--· ~ 91 -~ ;~ ~~~~~~ ~~}!~-~ :, .. ~: -~~ ~ ~~ -~ ~; --i:- ~~ ..... !U' 25 100 4909 35 101_ 46 141 59 189 72 243 t~:;,_ -••--: ~~2921-~ 1o1 · 40 141:= _5..1 169 -6i- ·;::43 ___ i': ~ ~~ . -~~ . fl.. 1~ ~-1~- ~ :--i-~ ~ .n::: ~ ~~t;d~~t~=!~tu=~-~-JJ"~'i";~Jjr.:U 2BI g:za 414 1Zl4 ::.b9 j 1!:>1tl 150 --527 179 a56-~ -,E\3- 356- 1m- 485- 1234 131 'il50 158 51_6 i16_"'_647-318 843 438 1('ff) 0 :.o::tJ 1 H:;J .reovl) ,a, w1 ~ 1"11-J "tU 100 ....., ; J'O_ 57 224 76 119 m 143 44-.q:-- 197 -56(- -282- 729 467- 891 I m

HiT~~ ;m ~ ~ f=f~ 1!~ lr:r;; l __ f; ~ E : ~~ ·~ ;~L! m __ ~ ;~:ii= _;:_E: ~ - -zs 275 tns :;n s1 25 oo 31 11e 37 134 44 ,:;2- ss 188 m 93 259 114 2J5 100 ~ z4a:=;___ _ 4ffi 351 , 56r ,; -25---Toij-- -1636 1s 75 24 91 '3:J' -i0ij-r-'j6-- i24 · 42 141 56 173 12 200 oo = iio · 211 · 156 = .. 24i- 426-- ·344--, '"" :

J:·--

TABLE 69 - - - w

IEMrs~ i 2QP I I azs I I 2so I I zzs I I "99 I I asp I I '99 I I 450 I C'5iif l I soo I I 750 I [Jiji([J ~ -~1 elc ~ M! MY!! M• MY!! Ml .MY!& MJ M!:!tl Ms Mult Ms MY.!! Ms Mult Ms Mull Ms ~ .M.!!l! M! M.YH Ms: I MY!! M!! I Mill! ~ _j~_w.~o m 1a 41 21 .., 26 ~ ... 32·.·· .. 64 .. ~ 31 .53 •• 7D 101 •••••••••• (j•} ?''),.\'.i' ··•··•·:'·'

TABLE 810

.sLAB I I I I I 275 I I I I I I I I I I [iiQiC) I 1 M.! MY!! Mill!

31 63

I ;: =-10-

2; - __ !jj ___ h?':~7?;1;;i~1~~--·-,}i.;, •~·-+-~-1-~t~~~~~;t~;t~~~~~~~}':l'c>-~F~;~;~·;.

12T 12~ l V:i- -~ ~+;-I -121--160 I , .... - -:§ -- .-19--t- 45;~+-:~+~-+~.-1---i;ic--+c~+-;::;;--Jt~:E ~~~- ~46 ~ iti~ ~-

TOO

~~~~e=.:n~ ----16

=~~=I~~~-1·--;ij -- L~~-f!_L~_o4_ 14

- ~ I:D I 1o -.,.--· 1201 4:4: 34

166 107 287 L713;;,1;,~:c.-136 98 233--1 12.)

115

--oo--~,~ii5t-~-u,...i1

"'l·-~-uit~~J~J0~}}~~~t~--~-4

;~ · -,.,.,.,.t•••···•-••i. .. ::n]fE'c •.• L1l ti.i.:J r•

---iC:

-20 23 93 31 132 --:ij- --f76 - -·4§ --f 2.')7 5S 239 --~--J:?m: 102 j bi 127 I 427 154 400 214 +-616 319 804 443 t 001

1 -~ ~!-.~ --~ J,~- ;;: -~---;~ ~---i!--~ [-~"; -~ ': B-- ;~-r-: _;~+-;--~;~~=t=fJ-:JJ(_;;:--:, !I:; 20 18 77 24 95 113 36 131 43 1 149 59 i 185 76 i 96 256 117 292 166 ' 382 256 j 464 ~ 500 i - 1i.':~ I-~ --~ :r ~~Ji rJ.~ -!=:1i :: lE~ !i~ !!: i~ l~i:~~s--~~~-E--E : 2o 1si-63- ·:

TABLE 811

_sLABit 200 lll225 I -- I 250 I I I !!!& M! MY.!! M!l!l • ~ 18 . •

~=:r ··~~·. ·~-r 10

1Z. 100 ~~~~1-t·t1'5 .• '!" ... 2J r~T .25.. _ ·:.313:::-197 __ 12 ·--~~~ 9~-- ·- 14 -·~· -~ ----~-- -24 38 79~" - ::~·-+·~--+~

l~ 1.'~ •11 ~ ~ ~t: i~ --~ ~ ~ .:~· it~iif-+~~-;;;ryv'

12 2"!1 ... 665 ... _!~-.J 28 17 ' 33 22 33 49

1:j·.-.:i.ij!:ii if~- i:' ~ --~ ~- 1 ~ ~ - l~-:l~:r: ~ : J~-~i Li1 i~~L! :: : : 345 : ~ 1e ··m·, 1149 14 -· -52 19 ··63 :ld + a~-r-37- 98 s• r2r· 67. 14:3 as "" 1C!:i 152 239 :::. • ._. -~r ]~G;:- ;~ -.L ~- ~~ ;;; - "" -~ ~~r~ - ~~ ~-~~-- ~ : -~f,- ~ ;~ __ -. -. -{~ " 149 2(] • , < : [;, .. . 15. zso .. 'tltl4 1'-j~ -1.7 46_ "" "'·· 62 33 .., 47 65 62 100 "' 115_ ••••• ,.,_._,;;:::-.:.· ;,.:••···--;'1·•··'·1 16 275 731 13 • 34 17 42 49 27 56 33 63 46 77 61 91 '-'' •Iii ". ... • • ; 1 i • ~ I::. I 2li 100 3142 2:) 86 28 124 36 168 44 201 54 233 74 295 96 358 120 421 146 484 ;;.Q4 i 610 307 005

~~-=~it: ~: ·~~ ~ ··~ n~: 32 1~- ·: ~ : i~ 65 : : : ~ -':: ~- ;;; ~ m ~ ~ : : · .•a L.'~';r.· .J"?9.s __ _,a:::_t73_ - 22 , e• -109 ---&::- _127 .,, LI£ r:: 1BL~~=-2\T "'- ·ii: ,.,.. ·259 162- 358 __ ~.:: , :: :;.;,

20 t 200 1 1571 15 ! 66 21 97 32 113 :39 ! 129 t . 16J r 70 192 88 254 156 313 243 "'1:J __ '"}'::J-~' ~g ·~-~~F~!:: --1~-+ ~~~- :~ 1lJ. 24__ : _-;; -~ ~::::t;~- i~ ::; ;~ ~ _1!9 ;~ ~ ::t ~ ~--~~-•1-;fu :: 20 276 1142 ...-'~ 50 18 62 23 73 29 85 ,j -H., 48 119 63 141 81 163 184 145 Z11l ~ I ~-- .,.

"' "' w 0 m

"' Gi z

~ r m (/)

--1 0 m {/)

"' 0 ~

TABLE 812

12 150 754 12 34 16 41 49 27 ' 56 33 ' 64 ·lF1J~Eu·~--j·Jq; ~+:J= ~ !__7~ -~-+~ ~T~ ·-12-- -11s- s• · _12 , ~ ·· -:nr~- · 36 21 -1-~ --26 ·-t48- --~·--ss -o - 91 ., .. , _, ... -, -- .

12m 200' 56il 121'26'''16''~'3:2 -:;D-•j 37'- ,--~ 31+-411~'"'·····'''···.··a 1 i:V- '33' rn 45· I ;;, . 5S"T244 .,, -t """ .. .., I 352' no· '405 158 513 . z..i- 673 343 : 827 i::

Crack width = 0.1 Feu = 35 Cover= 72

TABLE B13

SLAB I 200 I I I I I I I I I I

A.! M! MYJ1 M 711S :21 46

62!1 '-iii--t-:ii-+~-t -624-· 449

1

~ lii~ ~~- ~~JE- E ~ ! ~ ;~ I ' _17f!__ GMI_ _18__ 36-

; ;roo 665 ,a : 33 33149139

133 122

--100--12011 32 104 40 124 49 144 56--- -TSK 67 1e'>S 88 225 110 265 134 305 161 345 m 422 -~.?~ 536 4481651 :)_~~:::·>~~~-:- 28 aa 34 102 42 11a 49 __ -J~ -~ -~L]51 75 183 es 21s 117 246 141 , 276 195 --~z:~l-m~ f~--= ~~ __ 521 i;~~~-~ . ~ "'~--- _Sl 37 ~~ ---~ ~ -~~---~-~~6-- ~ 154 : ~~ _ : ~-- ~~ ~ ~~ ~~ -~--~f ~ ~6 434 liiJ , ... --,,_ --·tsr-- n 38 s1 44 96 7e 134 94 154 11s -T64 211 ~--,.. -,:::_:.'_):·::··1·;,::::-,.:,. ·2u a94 ___ 20 _s1---~ ,., ,.,. ·oo n :.}\

I

TABLE 814

-- sLAB I Liiio:=J I Li21LJ I I 260 I I I 21s I I I 3oo I I I aso I I Uilli:::::J I l 450 __ 1 I LSoo l I L soo I I L1so I I I goo I IT ----

""

15-"'" ~ "31

~J~+~!~~-- --~~--- __ ?5" __ 161 48 """"192 _58 ! 224 58 255 91 T 31a 11e T 391 142 ~~ ~!-~Z ... ~~~ -~ .. --~21__ ?J73-~ .. ~~-:-_t~~~ ~~-x~--~-~-- ~~-~~- --~---~~L .. ;;---t-~~~f--~j6-- j--~--- -~-1-~-- +~--t~- -~~:-. 1 ~~}-- .._~]~--~~~---~~~-- ~--j:; : ~:~~ ;; · :- ~ ~ 34 M1-- ~ ~~-: :~~- .. :; ~~~ ~l·-~ --~~~~-:;";; l;r,. m.+~r- ~-r:r ~ 1~

• JJthrJ_j_ ti -ir: ~ 1~- ~-~ :+!~- Ell~ E- m--:rJ~r: ··~~-F!~~l~-=ifrtt :r: 1

·-··· _10()_ """"--- -"' [115 _87 t-~- 116_1453_ 25 125 ' 3927 ; 115 74 301 00 380 26 ·15o 3272 B4 1 2e1 as 326

-~-- !~- 5 58 Hi- I ~ 2i;- 25il-- -1963 21 89 47 -~;~ 62-. ' ---' . -- ---· - ... ---t ,g.f- .,..

--124-t--~- ~~ -~ ~t-t--~~--- -:--t-~- -~-- ~~ -: ~~ lee f ~.. l~-1,!-- -li+E1~ki ll i iE E

' 167 4'X') 255 5t1 362 623 i":tJY. ~- -~-48·--i 4!:'5" ·353 . . fiJI

242 H1 426 • 347 510 ~5 l~·i:ml~·l-~ I ~·~-;,~--'--~--1~3J"-t110-l36 !12614!'-c~..--.-=

0 m ({)

i5 :z -< )> OJ r m

. ~~ 1 ;;~-~1 ~:-~~ ~~- : 1 i~= -~r -~j--~~ ~4

~-- ~~ =~- --~H~i---f:-1-~~ -~-L-~~ -~~~u-~- _i: -H~~ : l = ~ .32 1 150 5362. 34 ___ HE --~-~~_58 2tll 7ll .~ f--';J _l338_ __ .'.11- 477 _1"£ 584 171 __ .! 00_1 ·I~ . .1"' __ 274 po_13 :!93 ; 1335 !m 1ffi7 UJ :; 1: 1 .-~~-- --;1-- i ~~-- ~ . ~: ~ .. I~ - --m=rie~- -~; 1 ~r --:- ~- ... m+~~-~~J.·.~. -- ~~ -~- -:--· ~-- ~~-. -~ ~.~."' ... - : ~~~ ~ :12·· :·22s 357:r--27-+·-too 35 1ss -44--r-m-- --52 ; m---62·--r-275···--g,--r~ 1

TABLE 815

SLAB "' 'I.OJJ .ff"'

I .. 32 10~- 1_9942_ ... 37..... 103 52 147 - -••C 1~.... 85 259 103 26 14U 465 182 i 675 225 BS7 ~- 1089 365 11~1.1... .522 . _1[194 696. 7,376 _3~--- •. !~!~~~-~~- 100 __ --~-- 147 59 100 73 259 88 26 _119j __ ~ ~~-~ 188 789 225 9~~-- -~--' 11~ -~!- _1~~- .?87 1847

32 150 5362: 3) 11D 41 147 53 ;g;;; 104 i 468 -"!32 i 576 162 683 194 700 263 HXB 380 1326 515 1648 3C 175_ ~5lf1f_ .. 2jj- -,03 37 147 47~ ss :j. : · 92 417 111 ~ soe 144 , eo1 fj~:z-.. -~ I-~ an- ·:;,;r~. :1.15.2_ 486.·. · 1.•2a.

- 32 ~~ r-.~1. -~-- _!93 34 147 44 . _1~- 295 84 l 375 106 i 456 -~_L536 156 ~~_7 213 ?!!. .. ~!~ . _!_q151_ ~~ _1200

l ==i~= -~~+~J! -~~=~-4~= i ~f. a i~ = ~~ ± 1 ~ . i __ -~ Jl H!J.; ... 1UiL -ii~i !~ .. a -m~ :.3

. ~ ~.~ ~~-- 30~ 2681 21 i 103 27 132 34 ...!.:'!. .....!!.. ~ 213 64 266 82=t:3~- JQ1 ~?:3, 1?:2 4;!7 170 534 -~- ~_1_ __ -~g __ 641

Crack illlidth = 0.1 Feu = 40 Cover= 56

____ ,,,1 !:!MIP'tdJi!Wi'~.)-.

r

TABLE 816

:MErlr 6~8-11 2QP I II 22§ I II 2§9 I II 27~ I II 3Qp I II 31if I I I 400 I I I 450 I I OiiliL J I LIIOO ::J I L750 I I I 900 I I i

:--:;:C',·:·~-~"""7::-, , ... , __ -,,,, __ .,_,

12-. i:! .. u·

88 26 100 33 128 41 149 49 169 67 249 108 289 188 4116 I 284 ; ~13- '24 9J 3) 106 37 - ·-122 44 136~~

-t -_.-,.n """' """"' .,,. ..,.,. ....,..,. "'"' ~....,. ~• •""'

308 103 371 129 434 156 496 216 622 322 ! 811 447 I 001

':_~_~_!_-_--J- __ l;._ .... ~ ~i!_.:_ ~r ~ ~ · j:J! ;; ·;;; : :~~ ~~ --~ ~ 1~ ·: ~- :6! ;-: 1: !·;E 1~ ~-~~~ ~: ·~.;-- :'_._· ._._1 oo_793 ___ ·_ 20 175 1796 1a 79 3J 11s 37 133 « n 223 e1 259 11a 293 168 ~~- 258 464 300 1 566

I ~~ ~~~-- ::~- ~-r-·~ 22 aa ~ -:-~· ;;: --~ ,., 54 1!6 i';; · ;~ ': ~- ;~ ~~~ ~! ~- ~--J ::;;

~····~~~· 12&7 1a sa 21 _ _1 11 ··25 -i-~83..:: __ 32-___ 96__ -38~, 100 52 1134 ~ 68 'fill--~- 1a1 1os :200 :-r. cc.E· _:@_: ~~----396 .... .. .. ., ...... "'"" "'" "V\ I 65 25 __ L_?'t} ___ - 31 88- 37 I ~ ~ ~ 66 ~-~-- 83- J~- 103 187 \ I 2'34 295 __ ,_,.,..., -.-'

~~~~~1~~... :28 ! 102 36 146~ ~ .. 46. _198 ~. 61 I 257 . 7.3 325 100 438_~ ~~'29 .. S36 159 I 634 192 I 132 263 929 385 1223 _525 1518 --:-- --~~-=1 =~ ~ : ~~, ~ 146 ;: ~= ~ . ~ _ ~-- ~- --~ ~~ ~~~~ ~- -~ _ --}~-+~i ~: -!:; ··~ 7W 336 ~ _·_-; ___ ~~~ O ~!- -~~i i--; E ~ :~- !:L:~ t~ ~--:~ E : 5 -~-jS-~i- S ~~ ,. ~-!::~~ ~

-5 t ~E-=HE i~ g ~ 1: -~~ ~ l~ -~ ~}i- -i ria i --h~ ~: ~~-- ; ·· ~iii- ci-~ ~~-- i~__~1r 2'£ · i21- ·~-~ ?,~ ~ rn

32 100 8042 32 97 46 139 e1 1w n 249 94 315 1::0 471 100 659 210 a?s 253 1077 345 6 ~ 2'363 w -=!~ ·ta ~4 :----29 --st- 4f- -1~- ~-- J~. s?__ 249 s1 3·1s _ 111__ 471 __ 1-o :_~ 1n ??~- _?_:!_~ --~l _ -~- ~ ;-- r~ro7 d ~~~~-- :: ~ ~- ~; ~ ~--•. -~~~-- ::! :~ ~ ;: ~ ;;~ -:i-- ~ ;~ . &l2 i;i ~ :: ~ --~ .1 ;: &l -~}~---· -~- ~~! ~- ~~ ~ ~: 40 --~:; --: ----~ --~ ;: - --~ r· ~ : 49 --~~- -~-- ~~-~ ~- ~~'-:Tit~~

TABLE 817 w

-- • I 22s l I I I I 3sp I I 492 • I I I l • woo:·) ~ ~ Mult ~

"' Ci z ~ "'

i 1 15 5 -·-··12 '"12fi'~"t·Sd!f- 14 i 43 19 52 24" -i

12 150-1~~764 14 t :36 ~ -,.i-- 44 23 0 .. 1 z . . "" 1 76 -t 646 '13"--r-31- ··- --18- ' "38--- --22 -- --44 Ol ~ 12 ~:roo-t-us~~ is t ;;;- _1_1_1 33 22 :18 ~

•• ·- 2011 18 114 24 104 31 124 :18 144 I = 82 245 100 2B5 180 2); lff 1300"T632 I ia··tl26 ~~..., 1a m 22 8a 28 102 34 ·· ~~,. ., 136 "' 11e1 75 100 oo z,o 1· 261 ,~sr~ 231 ,. 1 :37o - 5C5

1B_J_16o ___ _1340·~ 1s oo _:il~~- 74 -~ 87 32 100 se 114 54 _1141 ·~~76--f-jW- 1!9~ 192 110 2r 1se .24! ~-- 35TT42• 16_ll6 _-·•.;.· •·• 16 , 200 ,..,. 19 57 24 -.7 "' 106 65 125 as 144 im 100 (.·.·-._:;.:_;··~ if····• 16 22!1 Jl•~- ~18 51 - 23 ~ ~- 28 69 34 45 94- 63 11J.- 81__ 128 101 ;•. _-·· __ .- .•• -.1 16 250 ! 804 16 46 22 1 54 28 62 34 65 62 100 80 115 1• 216 , ,,w '- . · -~17 ~ 1 <

r--~- : , : --~·-j·:~r-j-~~ ~---~- -~-~~; "" t_300~_i_:zSsU_JL 1-"" 1 ·z;· nZ¥~Txrl•"" 1 36 11a 44 1 200 s25 249 oo:r~ ·353 a34

Crack width = 0.1 Feu = 40 Cover = 65

out.' 1 ~- li!IWl.:tl~flibikliobWi

t

TABLE 818

_s[As_ 1 1 2oo I I I 225 I I 2sp l I 2zs I I 399 l l asp I l 499 I I 4§9 I I 500 l I MQ l • ~ clc ~ .M! Ma Ms. M.! ,MY!! 10 100 785 13 --,o---- -125 --62.:.-- 12 -io- 160 s2:t-l-i-,~2-t-;;T-i

---~-= --c=---= - --o-_-_ -- ---·-c_-- 21

1D 200 393 1:2

_12 _ _100 _11_3_1 13 "" 12 125 905 13 41 12-- -150 . 754 --12-~

18 61 17 50 17 42

F--1r-~ :-~ ~ ::;:;~ ---~-r-~--~-- - 16 36 16 32

•• T•oo~_l! 16 ' ·t -~ --t -fl--+-- ici ~o_ I 100 I ,...,

·" --,s- zOO-- --,oos· 13 -----·c

34

21 137

22

12 f 36-- 2e eo 32

48

if '"l""i .... ~-ir=· ~$~- -~~ 12·-·t ~ . 26 54 31 81

-- i~ 48 ~ -~~ ·- s!~~ _ _!I_ a1 24 1 1:28 31 1 1a? .I _4 20 125 2513 16 87 22 ; 118 29 l 141 -. - --. - ·-- .. - ----- --~ ___ ..,__. _____ ----,.,..---~ ~~ -- -~~ -~~--- -- ~-- ~ ; :' ~ -+-~~ I J1··

---·-··---- ···- -- -~--~~-t-;;T-+-'.i~!-iii. : :- "~~- ~t. --~ ~= : ~ ~ --+--:---1--~ 53 51

122·-·-

100 98

89

106 02

100

112141.~ JJ37 -392~ 177 493 -272 638 385 7R1

94 289 116 -331-1~ 412- 256 532 366 051 11a -r 10 214 89 250 · wo-- 255-- 158 353- -:~48 --458 - 354 5SB

-~ --; --a:; -~-; -~ --~= ~; ; :--- --~---t--~rJi

481 194 007 2951796 414 977

157

,~7 l! l ~- i~-- ~ ll ~~~--~~-:S ~ 79 100 98 181 143 225 - T 48 -'

25 _I()Cl __ 4()Cl9__ --}~ -~--- :za 12• 37 m 47 22a 58 m e1 414 101 s12 135 "" '"' "" 231 +-~- _ :34

TABLE B19

SLAB REINFORCEMENT' ·-

I 2oo-l I 221i l I 2so I I L21.s=:l I Laoo I I I aso I I I 40o I I I 450 __ 1 I Lsoo I I I soo I I I z:so_ i I Lsoo I MY!! 53 43

--36 '31

12 j1liD[l::_• Fi: +-~ [~_:1 ~--*+12~=~~·· ~F I. !i~--i~ •fl · l ~-~-~--f=-~ ··

, ~ !lO

-49 42

---38

34

~~~c••~ 52 ~--98 451 !lSl" ill·--

56

-

96--1- !Ill 1'07 + 88 ~ ~ 100 78-- ''"li/~ --87-- -r.r 1 -m , ]'·=EE£--· - - -56 ---- - - ., 63 87 -49 ~ +~- 5ll ?i':J ~;

~0~ -~~s _j_-~~~3 .. L~-- -~os ?1 __ 138 as ,_ ~-e_;4 _ 99 189 ~!3 -~-133. 20 w·· ~42 68 106 88 144 106 188- -,,. 2:24" -,.., r:!l6 ;;-"hm---t....,.:;-h~?l --~6 !_1om

sea 548 a12 20 _ 160~2094 I 49 100 oo 121 71 · 142 82 163 94 1 153 '5Si' 451 676

--.20~ j7_5 I79S::: _ ~ oo 52 107_ 61 -~25 _.142 so -j1oo

fi l.m-- t~H ;; ~ ; ~ : ~if ~ it~ a -r i~ 2~~ I 27S 1142 28 ~' '61 34 72 40 84 46 9'S 53 I 107

476 '404 '41~f- ~ 371 -337-

--334 -· -316'' 3::!4 :·:::.:~_:--:·":

--~~--~ 1f~~--- ~9 13 _ ._)~~ 97 1.40 .. 1?3 184C- 152 _ -~ !fa.r- 288 254 ! 41Y- 310- f)«) 3ffi ~~~ ~ ~ 741 ___ [1~~ f!45··r152i ,,;: .~:---~'' ~ 1i~ -~~ ~~ ~; ~:: ~~ ~ ~~u•: ~~ '-;~- ~:--~---~--~-~ .. --~-~~ ~~·- :-"-~~,~~• -~--.~;~ ~:-i~~ ~~r ;; ;~ .. ;;; ;:.; ~- ;!t : ~ -w=:~~ ;~~ ;~ ~-~, ;; f~ : : ~- ~ -1 ~~ -: I ~ i!-j ~"ill! s 1*- t :~ : ~~ :: , ::-: :5 rl:r~ 1i , ;:: t:~! l ; ~~ 1!11 ~ •• ·300- 1sas· 35··· a1 42 s7 49 ! 113 57]1:JO 64 1.., 79 179 95 212 113 · ·244·· -1311277 in :l

~

TABLE B20

I I 2§9 I I 35Q I I :!QQ I I 4M I t sgo I I I . -10 10 1o 10~-

-·1if'

-l~ l~:~w 1

;;.'--~~ 1 47 J !iij--~-~· 12 1tion· -76-4- 19 ___ --39--- --~~r- (--47--

J- g_J;g~ - ~{~-- 1:-:+--;; :22 J.41 ---························ ___ -=!_ ............. .

I Q1 147 1AA 1m 73 i 120 1 92 __ !147 102 -~3-

oo--59

79 48 91 65 4 sei-- 38 62 47 32 53

----'-~ ~ '"3) 4i'

--i: -~~ I:~~ -~ ~-- :- I~-- ~- -~~ :--- -~~ -: ~: ~~-}~ ~~ : ~~ _, ~ ~:-- :; 246 ·- --:·-! ~-- -::_ h_-_--~1~ 16 150 ~[:1340 "27 . 64 34 __ 78 41 91 __ ~ ·1re I _s~-:_g~_ 7i.__1-t4[_ ~ :11.__ 1~'-.. it>3__ J32_ 22!. ~:- -25il--, 351= .,2'5~_[428 :: it~::: ~:1!- ~ -~-- ~r::- 5 -~ -~ + ~2- ~i ! ~~ ~:-- ii =i- ii .. ~- • ii re: ·rU-~, ; 1

__ 1• ~~--~~~---w·r-·1· Z3 49 .!"' s1 _,. ___ ~_39 .n s1 _92_ 64 104 19 11s •2 _. :r .• t,'·"J•:}· ..... 16 mln1 18T"lla 22 , .;s 21 s2 32 __ oo 3? I 67 4!1 _ _!!L "'- . 94 [,;·; ; , ,,• •. _•

- SLAB I I TABLE 821 a ---- I 2QQ • ! 22§ I I I 2§Q I I I 27§ I I ~-t.il-ul I agg I rl ~as-o~l I I 4oo ....,..,._.._.111450 lll5oo lllsoo ....., __ .,._.._.I I I z5o I 1 1 900 I

I !!!A.. . clc A. & M.!ill. Ms .M..Y!! Ms Mult 10 100 785 40 25 48 3J 56

-i0-125- --62if- 33 21 39 27 4S ---10-~- "160 624 27 19 33 24 38 ----1Cf-- r76 ~ -24-- -·-1a-- 28 22 32

tO 200 - - 393___ --zr-j;z§IJZEEILZJllrrSG:sllliill 1~---~-~~~-f-~10351 ~ : ~ : ~~ ~ : ~ ~ ~~- -: -r'-o:o-T-.,.--t-,-,.-h,_-j-,..,-t-Trr--t-=--l=c=

54 18 38 Z3 46 28 53 34 61 40 68 53 83 46-- 16 33 21 40 26 46 31 52 36 58 48 71 sr -ffi 29 19 35 24 40 29 46 34 s1

'" _j ____ ], --- l -~: ~~~-- --~~~ - -~

!I= ~~r- ~Y!~~ 17 I 40 1~ -f27&-17:H-]16 1_:3<

36 8 31 7 28 6

-·-25 59

Zl 53 -22 48

21 1 44

62 53

41 48

56 1 32 1 64 1 37 ~

109 97 ~

79

,.., 1Zl T67 00 87

66 81 62 77 se 1 93

147 131 118

175 1 327~- -~ 197 328 ~ 273-156 -23.4" 144 205

20 100 41 85 56 20 . j 2f-+~c";--~~";- 85 48

119 69 58 5C

99 1 Zl6 1 131 1 296 1 164 1 361 1 199 1 424 L235 1 467 399 ocL~ -l,~~t~= =i~~ =5 -.. -, .. _E:~+~ 2o-

I 2o 20 - 1396 23

--20 ___ 250 1257 ~ 20 --276

85 40 77 36 70 33 63 3D 58 28

50 46

170 149

132 119 1lE

91 80 72

65 80

'12 85 64

147 130

81 I 175 I I 75 159 92 ;a; !';,:, 1;: ~~~ 1 ~ ~-~~ 1

498 '443

n- 398

~ 273 006 322 704 426 901 591 1195 700 1400 25 -- --12ff ~927 45 a1 oo 11s 76 155 ro 201__ 110 252 145 35~- 182 429 220 soo 259 586._ ~~--~ 4~=~ ~~~. -~!-_ ~21_s 25 150 3272 40 81 53 115 66 155 00 201 94 240 123 3J5 153 370 184 438 217 501 286 632 :m 829 524 1025 25-- -175-- 28o5 -36~-~ 47 115 sa 155 70 185 82 213 100 269 132 325 159 381 187 438 246 -----sso-----345 718 -45:;---oos ~~- -2~~---~~4 33 81 42 115 52 142 62 167 73 192 94 241 117 2!:() 140 339 165 388 218 486. 2JJ7 ?33 ___ -~--- 776 25 225 2182 30 81 39 100 47 130 56 152 68 174 85 217 105 261 126 305 148 348 196 436 279 565 373 689 25 25o ·;eea----~ sa 36 100 44 120 s2 139 eo 1se n 100 96 233 115 2n 135 316 100 -395 257-r-Sre--- -346 620

I 25 275 "17as 26 75 33 93 40 111 48 129 55 146 71 182 BB 218 100 254 125 289 167 361 --240·- 462---326 - -564 ---2fr- aoo 1636 24 m 31 87 38 100 45 pe __ s2 1136 a7 168_ 82 201 oo 234 111 267 157 330- Z2.7~~4~31if- -s11 32 110 113 149 143 194 177 245 248 364 317 507 389 673 463 862 615 1105 2280 32 110 101 149 126 194 151 245 203 364 258 507 313 673 371 856 489 -874-- -1886

-32-- 110 88 149 100 194 129 245 172 364 218 507 261 640 307 748 403 --7Xl -1603

321176 459lli46 77 62 110 78 149 95 194 113 245 148 364 185 478 223 570 261 662 342 845 471 f:121 812 1~ ---32-- --200 -4021 42 77 56 110 7o- ·:;--49-- es 194 100 245 131 351 1s2 432 194 s12 221 593 297 753 410 --ggs-- -535 1236 -3:z--- -225 -3574-- --39 ··--:;?- 51 110 64 149 77 194 00 245 117 322 144 393 172 465 202 536 263 679--- 364 894- 477 1108 --32-- '260'''--3217--36- ------=rr- 47 110 59 149 70 194 82 232 106 296 130 361 -,55 425 182 489 -237 618 329-· '611'' -43:3 1004 ---32. -:~!7!i" -2925- 34 77 44 110·- 54 149 65 187 75 216 97 275 119 333 142 392-- -168 450 217 567- 30i- '"742 _3!ii ____ 918

32 · -300 - 2681- 32 ---yy- -iT- ·11 o so 148 eo 175 70 202 89 ~~-~ ~~- ~- ___ ,3T- 363 1 ~-- -416 · 200- 52.:) __ )81 -- 684 373 843 Crack width = 0.2 Feu = 30 Cover = 56

~

I

TABLE B22

SLAB r 200 • asoll:tqg.l I I I I) Mo I Mll!! K';

: Mult M! MY!t M!!!! a; 70 100

ii-l urr!! 68 :

TABLE 82.3

-. teEMEur~~~ I 299 I I zza I I asp I f: L 1 21s 1 1 L3illL:J 1 1 aso 1 1 L_AOO_I 1 1 450 1 1 1 500 i 1 L .6oo 1 1 uso--t 1 1 ooo 1 QJA. ru; As Mo M1!!! Mil M1!!! l!IJ IMl!!!

l·it -;~ -~i!t~ ~:; --~--- !~ 31 ~ : I ~

to 176 449 12 zz 1a 26 :20 31 10 ~-- 393_ 19

-=~irr~;-= --=~1~~~~~ --~; :: ~~~: -~- ... -- "" 12 ! 1so 754 1s 36 ::n 3J: sa

----12--176 -~"ij46___ 14 -- -- Zh- .18 28 I 12 200 liSS 13 21 11 33 21 :;a 2e 44

I

1a 100 1 20~~ :s 1s __ 33 __ se I

i 1340 11 ..

~~rT!1;f 15 37 •• J 45 1 24 53 I 29 i6' ~

-· _I(>J 115

i~--__ lE_•~-·:r~ ~ttH --~--- :~-- --~ i~-- ~ ·· iE -: : ~ 4 : j~_ · :- i~~r~:~ ~ ~~~-- l~~ ;; ~ ~- r~-- -~- •: : ·· }jT -~ }~~ ~ ~~ :i ~~ ';·· __ :ro L1 ~--- -~~L J~~~ ~: -:- ~- f ~- ~- ~- ;: 1Jr ~ 161 : ~~ ;::; ~~ -:·-H'rn 1•ro 1 ___ T ·r

1 .. ,.,., ... ,,., .. ,, .. ,

I I JUU

SLAB REINFORCEMEIIT"----M All 10 785 10 ozr

-1'0'"' 624 ~10 ''4-49' -10 393

1 2oo • Ms 13

-12 Tr-

k~j~ . t-ii.-12 13t 16

-!~-: :t~~--1--~~-

--l~- ~ ~t~--- l~i!i=-16 --,,,-

·;s-· 16 16

-16 894' 16 ill",f""

'18 ''731 ___

20 ~t=li~!}- -i~fs-20 20- '1Go· ·r 2~-20 ""ii~~~~:

18-+-'66 . 2tf --11 ---1-- ro---:!

---~~~--F~~=tl:! -]~-;-=±_~-~~ ... ~ 33(25

· 16 1 ~oo-T''fj'T"' ll02l65 J 122 l'1 16 ---~~-: 1608 43 -- --~---~ -~ - _!Q!_~ ___!:g

TABLE 825

LV + ·~ +-V· V, 04V "0 ·~ ,,_ L_, 0 _, LOL LVO 336 258 482 313 500 371 658 4:30 756 55'3 ""[- .,.., 1

-25 -i:ii 3D27 7B 1

1

TABLE B26

~iENt~~ I 200 t I 22s I I 25Q I I 27§ I I agg t I 3§9 t I 4po I I 459 I I sgg I 1 Goo I I Z§S! I I goo 11

!liB. £II; All !.a . - .!.a I - .!.a - !.a i - .!.a - .!.a - Mo - !.a - Mll - Mll - Mll - !.a IM.~tt 1~ :~- -::: ~~-- ~ ;; ····~ .. ··\: .. --~- ;";: -~- :; ~-- . ~ ~ 77 102 ,;.d(i ti[j;li!: a:- 300 1636 27 75 91 41 ' 100 48 124 55 141 70 173 86 206 103 239 121 ;271 162 333 23'3 ' 426 316 51~ ~

m 32 100 8642 75 96 103 135 135 182 171 235 2CE 296 277 437 351 oc:s 427 802 !5Ci!) • 102!5 sa:; 1:363 915 1865 1178 2'348 (/)

--:~--~- -;~r_~-1 ~;:::-- .. -~ -:-- :·t ~~ --~:- ~~ -~:~- J~t -:- l~ ~ = ~-- :~~: _:: = : ~~ _; _ ~ ~-~: ~~- -~~-i--~-~- -~-~ ~; o ' 32- ns i -4596- 53 9Ei.. m 135 eSi 1s2 106 235 124 f 236 1s1 411 100 5CG 238 2n 687 300 ~~- 493 · 1146 638 1422 Ei

-~~----_J_~~--- .. ~~t 48 e6 "'w ___ 78__j_JS2 __ 94 100 .. 291 -,4·1--~371 173:452 ax; 532 ~2«> -s13 ~i~~---~~"-~-~~~-16f~ --~---1~ co

~~--+1~~~-~-------~;~{- ~-11 '"~:~-1"?3 ~: --~~+f~~"---~-~- :- ·~ --H;- = ~~---j~ ~: __ :, f~"' ~- _:. __ ~_ -~~~~-~ --~-~-;~~~ ~og I a2 275 · 2$26 36 96 49 135 59 r 100 10 61 228 103 266 1~ 346 149 173 462 225 579 312 754 4i0 I' 925 a2 :wo I 2ea1 --- · 36 1 96 45 1:!2 55 noo · 55 ~ 75 212 ss 266 = 137 -,S!l 427 "'7 --~534 · ··l!llll · _eoo - 382 a•e ~

Crack width ., 0.2 Feu = 35 Cover = 52

TABLE B27

I • ll!A,

I '" 37 1 79 1 45 1 so 1 5:l 1 101 1 oo 1 124 1 aa

~--l~+iii~Hi-lit-f-i _ L_32_~-~~. L!:'. .. L5U.8

2 -1 "'-- L1j __ -_-_-~ 71 ~--·-·., ~:;:~ zn!I~ 19

75 _ _!

79 _ J _ "' -;;:·i:x-ij•_ -l:'i,1''"' lli!iJJ -16----:J;J ~JiU~_li~

I ~~::I:: ~~~- ~ : ~- i 1: _: i~ ~ T~i~ ~- ~ :~I: :: ~:: -~ ~ ~~ ~- :- ~ ;1::; -~R 1;:- ~~= ~ : : ~ --~-- m ~~;!-- -.;; ~ ! ~: -:;,:; ~ 1~- ~--1~lT""1 ~~-- ~-- ~~- --~ llT~~L_jiii 1+i r ~ -~ ~- ~.ti --~- : iE ~ iE E' ~ }~ ~ i;_i~.; mJ~:I-':Ciic--1---;~-

c~~f~- l: "JI: ?Ill~!~

i I 1786

94 +~Hlff- ~ ::; . :; ~ ~ ~+~ ""' ';: :: ~1 ~ ~; ~- :~ 81 1216 -l- ~ --_ ~- -~fr1 i 314"' -~~ -· -~-r-t-: -~ -fd-- 246 -- ~- :--- -~--- --~------ ·~

i 197 95 117 295 14i 344 100 491 -:30:} 636-- --411.- ?i6

i;~ ~ ~ :: ~ :~- ~ 1~ ;: ·:: ~~t.~ •. -: .• -~-·131_ LS

"~"~ ~···"'""'"''"'"'''"'''

T~l!!..~ EIZI!

-~LAB I I 200 I I I 22s I I I 25o I I I 2zs i I I 3oo i I I 350 i I I 4oo i I I 450 i I I sao I I Lsoo I I Lzso J I I goo I

1131'

ii~:J l~F ~~FjJ~ --~ 1:--1 ~t~:t- ··{~ 33

28 {( 42

~~I ;:· !- ·i~~ :· ~. 40 28--,-45 33

! Mm!

I

I> j~+~=-···r~~!- -~~ -~- ;:; ~··· };; I :

16 ' 160 13~ :22 62 29 424

~~~~ji~~~!~ ~=~~---~-~~-=~-~ .. 1.l:B·~~~~=~=i~~~~=t~~~~==~~ji~~~~ll~Jit=lJ~~~~ll~Jl~:Jct~Jj~~Jl~i:l;~~!J~ -l~=h;~ 1 m:: ::Jh : 1=~~'~1==-~~·1~~ : ! 314.2 37 I g

20 ~· 1~ n·~· .. 32 ··r 93· 20 160 l2094 1 "'· · 37 106 4S 129 ss 1,4' ~-=· =~75· 1795 I 26 11 _33 j 96... 41 ! hl -~ fj:i ~ :d~~~1r.: HH : =~ +~ ·-~ \'t.1 ;- 1~ , 48 . 20 . 26rnti., 20 , 57 26 1 70 3:2 82 38 ss 44 I 20 I 2t~ tif42 1s··1··53 2-1 , 54 w 1 76 313 .. ~7_t ., ·

.50_1'132 [_63 __ 1 176 I 77 .1.~7 122 J~ 154 ! 385 188_ ~27 ~-_J_~ __ _197--T.~J~-- 41§!__1 .. 81?:4 __ -~ j ~Jl

~~- ·i~-T : 1$ --~ !~__L~._ =~ff.._ ~-~.: _-; ~~.~~~-- ~~--~ ~

-i~!~ ~~ ffi -~ E i~ I~·Ji- ~: ~Ji~~$1 E ~ 84 1€5 101 J 187 138 230 2(5 -~ ' '

.225 .L 123 .L2B4 1 166 1 422 1 210 1 s21 1.:57 . .L.B19 L3a5 I m 1 ~1>13_1 56$J1Dl_[ 11~'2 275 636 367 832 t:

~ 11; ~~~ -~.I :-[~ ±1~1- ~-1 ·~cr·~~r ~; ~~ j] . : un ••••• 2/9 .. L138 [3S8 . .J17'' ,""'I"" 1.'!15124f J""' 1·32f I"" 'J56.tOOG -~~ ' 552- 337 -720 448 &'12 m

"""' .....,. .....:; 110 """ ,..,...., ..,... '"""' ""' '"'"" """ ........ ''"'" 291 '"'""' 'V""PU '""" """""" 21'2--1487. 301~ 632 402 772 ~ HtJ~~ti i~~ ·~_ur .: +~~-1=1:.;~~~1 ~;; -~. ~~-- ~~ I;;: : : m ~· ~~-:~ ~~.(.~~~~~ :~ ··~· I ~ 26 200 i 2464 """' ,..... ....... - -:;;.:;;···- - ·;;;..;.;.- ----t- .. ~-...· 25 ·I· 210 f17ao 24 T 75 -H·ro 38 I' 111 451t28_ ·"'· .14•_ oo 1e2 ""· 21s 1m = 122 200 1es 358 Z'll_ ..., 32'J 1 :; ·w · 3oo .. ~i636 0--- 7b --~&f- 36 - ·1a3~- -fr-r119- - -64- -1oo -eo-- 'jjf 97 233 11s 266- 155 l328 .. ·m--t42f- :ri3 sts ro

r m

...... I 100 I 8042 58 64 80 122 107 166 138 218 166 -~-276 229 I 412 296 577 365 768 436 007 582 i 1357 81311640 1ffi6 2322 (/) l:.~~jl:+;~;. -~-· :: ;·:~ ~I;;_ ··~~ ~: l~ f;l~- ;i:f :;~ -~L·~- -·~ r: -~ [;_ ~11~. ;. · ;;.; ___ :; · i~~ g ----···- 17~ .~~~. --~ ~~-- -~·-Ll22 72jJ~- ---~--- 10?_+~7~ ____ 340 ~ ~ 176 · 488 .. ?12_~ ~-~--4-67?:_ ___ 3_~---~ .. .45~ .. _1132 597 1407 (fJ --'--~-~--lU~t --~ ··~ . ·~~ .-~~. I ;~-· ~+;;~ ... ~ ' ~~ ~J ;..:~~~ Ti ~-- ~~_:~- _;~- --~~~ ~~~J -~~-- :;-]}761_ .;;;- ··~·· :: I;~;

TABLE 829

"' . SLAB ·--~,.,-~ --- f2oo~tll 225 1 I 250 l , .. 21§ I I QAA--1

Mll Ml!ll MliiMllll

r··am -, ~< I Mllll

I I ~

12 'tl

12 1131 19 1 __ 52 J25

25 _(82

32 61 38 00 -:i8 .,., 34 + 56 :26 41

" "" i ""~~_1_4' 33 ' 70

122 _ _. __

sa 50 ---"--44-

2011 1 ... 1340 11 ..

-1005" ~894

~~~l : i'J· · ;:;; ho~ 78 I if'!-kl:~ ~~· ~:~~ _:_l-~'±i±~-t7 004

-'Is·· -- ---

' ~: -.B~a~1n~ 2s -· ~ 56 168 "' 201 T 53 ~T m "48 144 58 1e9 I 70 I 194 !i~s~~ ffiH-~·r 20 i 226 1396 19

1-ifi--T~~-.:· ~~~~!=

33 103 42 124 51 1~ "t· !!~-f~66 30 91 37 109 45 27 82 34" 97 1-i'f-· n 25 ~74" 31 88 38 11

- -:;,.-~ 87 "' 80 35 "' --26-- 1 DO 4&08

2s m ~ ··s2rt·~;rr-+;;;r 26 -166'- -'3272

56 I ~~~ ~~.L~"'-2s 175~ , ·2ios

=~~+m1I~-·

84 67

l':C

97 "6!5

1 24~ lJ~T2B3 41a -;:

'94 I 62 f"'T~v-r,; 85 59 I__~~-- 73 ,. 98,

~ ~ I ~~ I~ I ~]5 ~-ti-~~~ :; ~13 Z39 ' 400 328 i 492

219 - 22?_ -~= ~=-~t~

142 358 174 ] 118

235~~ -145--+-;:-~·=-.:··

:100 102 250 125 -90 217 111 253 100 223

86 1322

t I :228 201

I .4!. lf!ll_Tsf ;r>; L~ 1

2ll' 707 377 904 531 t!§" .. g~! __ 1~ ~ ~" ~~ 434 978 . 974·~· 1~14

... 261

··~·· -~ .m ~- ~r t 360 682

I 00 I ::-: I ~ I ~~ I ~~! I ~~ 1--~~ l~--j-;}=i ~--~-:~- -~-

~:;5-_ 0--220 418-· .. ::ICC-- -5}_!_

~----- -!- ~+1~- 1-- ~ 17f- 397 220 - 212 m 324Taoo 434··, ,25-r-ro;,· 1s11 ~71illioo7 ;-~=m~ = trr~ ~- 1~- 397 187 538 229 645 --~ _ .. -·~· ·-r 007- . ~ =·· -·1 ~ ~ --~ -- .}~1_5 5 : ~1!-- :; !~ ~~ ~~ ;~ ~~ -;;- ~+~-- -~L_ --~*,.f~~-- ~ - i;:

• 260 78 38 +,c,:.:;.'-+-';;-J-;;~-1-;::;..~+~"' . . . "" ~·· '-"

.. ~ ... i03 320 129 391 400 -"" !!'1;4"' ·;;:;g- ~677 344" 692 ·4il9··· 1i00 m 94 294 _J)_f~ ~-~ ··tl~~: =422 100 487 _ m ~: __ ., ~ r~-- · :~~ J~

32 dijij-+~H-~ I ~- I 36 I i14 I 46 l'~ L 56 J1_s:J_ 2-~a 1·sa t.3Z'---1 ""·i~~·Hr. ·I =··H~ +~~·I·~ t-s20-t ~-1ii1'···1 I B:l4 Crack width a 0.2 Feu = 35 Cover= 65

0 m (})

Q z ~ rn r m (J)

c: "' (}) "' a ~

-~~- 1 ~~~ tl!! ll[ildQi !iltlt!!~l::1rl£01V#\41!if>liiH~-

r"

SLAB

lllil

to I ~ to ••:::nts:D

3

L2iio l

~ 29

-24 z

I 225 I

i Mutt

r ?M 1 J [-w---] I Mult Ms I Mult

~34

18-

TABLE 830

I 309 I lll1

rJ§Q::J i M!!lt

I I I I I M!

;~45 :;;.,,.·:.:-,-.. \ ..... "n "'. _ "·:· ~~"-'-ldR,l 22~c1' ~ ·~·~~~·~· r '- ..... ,, ,, !•/'' I

200 I 665 ~~

12 26

- ... 15! 32 20 37 ,.~~ 42 29 48 ,,,,,,, '~:,

-·~- _!110 -L 20!1 21 + 76 ---~~-- ~~ 1 ~~~~-- -~~-

2ll 96 37 116 46 136 + -1- + + + ~~J156l7S j1•7:j~~a':±23fT120~;~TI~~~u~TI:f+N"·~~~ L ao ~~ ~~32 __ ~:: ~~~ 1 ~-~- 65 H2!!1~~ ~ _63 1ro _ 100 1 Tiiii-t--i-i'irl-iiT:. 1 I~ to

J• ~1-2~--=-J ""!--=r:I·T-'1§ 1-- t: --~-~~----~---;l-1-~-~ ~ 17T43 I i2~Tst '3) 1oJ

~~~- J~-~rJt-Ei= i ~ IH~r ·r ~~~ rrl§-ili! ~ ~ il mr:1=:i ~~ ~~~ ~~~ ~~~ ~ a ~-;ii- :~

475 ::;:513 oot 368 400:

--g~I-:~--f~L- .. -~- i:-- ~-- _]~~ -~ 1~

12'

63 284- _JIQ_ __ , ~ -~~ 230 216

I U>J_:~?sL: uf-?ilfl·1~ r~ ~-

26 _!~·- _:11109 ~~~----~-~---2~ 12~ .. -~~-~ . ---~?- - __ ?!

-' !i·- --~!-- -~~Jl-- ' _; __ +-~--44 39

~ 59~ ,~-.-oa-T si ~ 1s

llClf ~ I~: -E~~~ 57 ~~:;=~ii -m :l~ !~ E ~~~~ ~~~ ~l~ ~; :r- s ~~~ ~-=r l"'rl. '".Qt 1n7 'liM 1"'1') 370 158 4'2fl 214 5'38 3)7 707 414 ' 800

! ~ 25 ~ 225~ 2182~~ 25 2..-- ~~lm

1--~ -~: --1 1785 62

--29 --·-

144 97 ''144- -65-

144 7S ,_144_ ~-~"· ~1~~~~1~::_~~--+-- ~ 103 74

iH~ i !-~-~ tit1 : ,. ~~- ~: --~~~:~. ~~~r- __ ~-_ --~ 32 --100 42 --1- 144· _ --;~--~ F~~~--~r~~~1~ _-1 :-. ~---I-63 c~:: l_ !~l 3S

122 247 feB- 247

247

•64:(~., 1-~+·oo E ii _; -1~±~ s~-:~-: _E 1f E ~---+ ~~~--- --~--~--:--+~- --~~- -: --~~-~-- -~ --~1-- --~ ~ 247 t-:,ii(-h.B-

~--- -~==+ ~--i-~ 68_1 ~''lLL22l-j~~~

164 73

Crack width = 0.2 Feu = 35 Cover= 72

15 z ~ "' r m (I) ... 0 CD (j)

8 0 ..., 0

"' ~

--·1

TABLE B31 --···~-

CEMetr!_~ I 2Q9 • l 221 I I aso I I azs I I ago • j I ;asp • "' "' 'J I I I I I I . DIA. l

1 -'~-- _roo : .~2 .. _100 __ 130 133 179 m T236 213 301 2'!" 374 .• 381. "'543 463 743 _552__ ·~4-- 642 1141 827 , 1""\l- ~!1.± .!945 . . 1412 1 """ 32 125 ' 6434 96 1~ 128 17'9 164 238 199 301 23J 374 295 3eO 701 425 630 492 959 630 '1216 845 1ED2 1071 I 19!'18 3E~Fr-L~~ ~----;~_ ::;;- ;~r-;~ ... ~·- ;: ~;- 1~- -~-- ;,~ .. ~ : ::-- -~~---~- ~-- ~~ ;;; '=- -~--1~~rw.: 1i~ 32. I 200 ~~.!. 7(J ___ J~- 88 179 106 236 122 280 139 321 1'.J 4( 207 481 242 562 276 642 .f.¥- _BOO ~ _1044_ i ffJ7 1286 32 226 3674 63 1so 76 179 S3 221 100 256 122 292 151 384 1e1 507 242 576 308 121 415 ros 5'33 1:;.;

-1~ ~L ~i~- r 1~ I* 1i i 1- ~ ~t:-~:= m· i~ ·· e . ::: :: : * r-il-~--- ~. iJ~~- i 1 1e Crack width = 0.2 Feu = 40 Cover= 40

0 rn

"' (5 z :; !D r m

"' d "' "' "' 0 0 __,

t 1$! lllil \lli,">l'o'·

J!

ljij ..

ilr~~~~ 299 1 I 1 221;J 1 1 2so I I I I

I liiWl 1-;,;;- I MYl! I l!!! II!!!!!! ..,

:i8 IV lf\J ' - li:> .:;~ 1'1:1' I £Si1

TABLE 833

·:.:_-~S~B laord~~~ 7 ~~~2fT \!: IJ llpo a l3so a l499 I I l I lzso I laoo I

H-1

~~~rnte ~ .. 100 ~Hlr1

I . == ·!]H_+ i~ . zoo

I .16

. 16 ~~~

14 "" 32:·

- 1~-f---2~~-- _ ~-5- __ ;

1 1~-· -1~Hi11!!t11ll~~l•r·•~•••l••·~·••t.E•••r~, •• +*-+-".;i,-+,.;;;;,,;.,;;,.,.,,~~;i.litill ,. ·±'oo .. po11 29l_ ee 39 "" 49 _1"'!... j·'

TABLE 635

"' - :."'~~':'8 I I zoo I I I 225 I I I no I I L211LJ I L~oo I I I aso I 14ftp • 14§9 • 1§00 I !spg I lz59 I laoo I~ ~IM i MuK Ms I Mlll! 1M Mlll! 1M ! Mil!! 1M Mlll! Ms Mutt ii;

96 ,,;, j~ . . ·t·~, . . ' ~ ~ ~ A! M.! M.Ytt Mutt 10 100 79& 18 38 84

;;ii;;';'>'X'\ ! 1-~~.~.C( tif; .;· ·;~!A .Y • ; , z .Ii f, ~;]\i. i~}i >''

r

TABLE 836 ----------

---""'"'SLAB -- I I Jl

jif

1---;: + ctir

h

"[!;- --~~ ~--- ~

I "'" ~ 5362 30 79 44 118 EO 165 -~- 220 93 , 282 131 431 168 541 ;;:a! !- 649 [-.-~ 756 338 870 476 1292 62n _ 1614 ---~~-=1 ~~m--~:r- u;:- -~- u;~ ~~= : ~:-~:-----~ ~--I:-- ~~- =---4~~+~~-~-~- ~~ t{ff- -=--, ~~~ ~:- ~( ~ ~: ~ -a2+22F+Jst4 -25 79- · 35 11a 46-- 1EE- ~57 · 211 ~oo--~ ~-oo- sT~ ---11§-- 389 --145- 461~ 1?3--t-532 232··-- 875~ -329 aEXf- .m 1 iHD g -1f +_:--~j ~" ~=~, ';}+~~ -Hf~ : i: : --(;:-ti--::1 ~b-:- =~~ ~ ~~ ~ +~t~ q:t-r~ :.:!f+~~ ... ~- -; .m ! :: ~ __ =t ______ ---..------ __ J .,,__ ~- 14~-+-~--+faa .. ·· '""""55' 165- . 74~-!-i49- -F"~Xi:f -·114 i 356--1:3,.")- r_410· ~-y·- 261 674 353 r a27 ~

Crack width = 0.2 Feu = 40 Cover= 72

1

DESIGN TABLES TO BS 8007

Design of concrete structures for

retaining aqueous liquids

BS 8007 provides recommendations for the

design and construction of liquid retaining

concrete structures. The design method is

based on limit state philosophy.

Serviceability limit state of cracking is usually

the controlling factor of the design.

The design calculations of the serviceability

limit state of cracking can be tedious and

time consuming. This book contains design

formulae and tables which give the service

and ultimate flexural capacity of a range of

slab thicknesses and reinforcement

arrangements under differing conditions of

crack width limitation, concrete strength and

cover. Reinforcements required for control of

thermal and shrinkage cracking of slab

under differing conditions are also covered.

The design tables will improve the efficiency

of the design process and be a considerable

asset to the practising engineer.

..

>

'