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Page 1: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

-- 2011 -

129

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Page 2: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

130

:

.

(deflections)

:

1- --

.

.

.

.

2-

.

)(

.

)Long-Term deflection(

).(

ACI 435R-95

[2]

ACI 209.2R-08 [3]

)Short-Term Deflection(

.

)Creep

and Shrinkage(.

.

[1]

ACI-318R-08[9].

:

--

.

.[6-10-11]

.

.

.

Page 3: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

-- 2011 -

131

ACI 435R-95

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)20-40(

[2]

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-

.

-

.

- .

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)

(4.0'cf

4.0'cf

)Long-Term

Deflection(:

)Long-Term Deflection (

ACI-318R-08 [1] ACI-435R-95 [2]

t:

)1(. sustLLT

:

L

sus )

(

t

t

)2('501t

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.

:

25.

1.41.

1.26.

13.

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.

Page 4: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

132

)1(:

ACI-318R-08

-

- .

)

(

:

) CEB MC90 Model , GL2000 Model , ACI209

Model , B3 Model ([3-4]

.

)2 (

)3(

.

),( 0ttJ

),,( 0 ssh ttt

.

)3(),()(1

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ttJC

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cC

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t

0t

st

),( 0tt

)( 0tc

)( 0tci)(

)(

Page 5: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

-- 2011 -

133

)2(:[3-4]

)3(:[3-4]

Page 6: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

134

)Long-Term

Deflection ([9] :

ACI-

318R-08 :

)6(

.'

501db

A s

:

c

tc

c

c

E

f

E

)(,

dtEdt

tdf

tEdt

td

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ttc

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ct

0.)(

)(

1.

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0

0

00

0

0

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s

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t

ACI-318R-08

23

25

1.41

1.41

1.20.5

1.20.5

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Page 7: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

-- 2011 -

135

8-

9-

t

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,

)()( 0 t

tE

tt

tEt shi

10-

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cf `4.0

CEB MC90

Model [4]

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5.1exp.),( 0c

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Page 8: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

136

)4(:

Page 9: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

-- 2011 -

137

:

[8]

cmaa

cmHcmB

1'

20,10

:

181,81' TAA ss

:

10,/10.2,/200' 252 ncmkgEcmkgf cc

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1400100'.11.0 cf

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s ett

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B=10 cm

H=20cm

8

T 18

L=220c

Page 10: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

138

:

.1.0

1*7207.8),(

2.00 ttt

)13(35.1984

3.0

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tt

tt

)6(:

[4]

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[1] ACI-318R-08

270

20.%

ACI-318R-08.

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[1]ACI-318R-08

] 8[

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Page 11: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

-- 2011 -

139

'

ACI-318R-08

)9(

27%28

7.

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33 %

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Page 12: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

140

)12(:

4.0'cf

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:

22 60,20' cmAcmA ss

:

10,/10.2,/200' 252 ncmkgEcmkgf cc

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cmHcmBcmBB

5'

60,20

100,15,40

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Page 13: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

-- 2011 -

141

)14 (

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08(

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(Deflection)

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Page 14: ÏÑÇÓÉ ÊÒÇíÏ ÇáÓåæã Ýí ÇáÌíÒÇä ÇáÎÑÓÇäíÉ ÇáãÓáÍÉ … file130 :. (deflections): - - -1.... -2. ( ). (Long-Term deflection) ACI 435R-95.( ) [2]

142

1. ACI-318R-08 Building Code Requirements for Structural Concrete (ACI 318-08)and

Commentary ACI committee318 January

2008 2. ACI 435R-95 Guide Control of Deflection in

Concrete Structuresin hardened concrete ACI

committee435 Reapproved 2000 Appendix B

added 2003 3. ACI209.2R-08 Guide for modeling and

calculating shrinkage and creep in hardened

concrete ACI committee209 May 2008

4. CEB-FIP Model Code 1990, CEB Bulletin

d Information, No. 213/214, Comité Euro-

International du Béton, Lausanne, Switzerland, 1990.

5. H.S. Muler, C. H. Kuttner, V. Kuitsel «Creep and Shrinkage Models for Normal and Unified Code-Type Approach», eds. F.J. ulm, M. Prat, J. A. Calgaro and I Card Revue Francaise de Hernes Science, Publication, Paris 1999, Génie Civil. P 15-19. PP. 113-132

6. Long-term deflections in cracked reinforced concrete flexural members- Antonio R. Mar _, Jes s M. Bair n, Noemi Duarte-Universitat Politècnica de Catalunya, Jordi Girona 1-3, 08034 Barcelona, Spain-2010.

7. Simplified procedures for calculation of instantaneous and long-term deflections of reinforced concrete beams - José Milton de Ara jo- Department of Materials and

Construction, University of Rio Grande

FURG- Campus Carreiros, Av. It lia, 96203-000, Rio Grande, RS, Brazil-2005.

8. . .

-

" " 1967.

9.

2004

14/11/2010

10.

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-1997

11.

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:

-2007