Structura cadre din beton armat

7/23/2019 Structura cadre din beton armat

1/127

`POLITEHNICA UNIVERSITY OF TIMISOARA

CIVIL ENGINEERING FACULTY

Tecca Me

Aece

1.Lca caacec

Te bdg caed a e ee f e c Taa.Te ea

face a 4800 2. ag ecaga f e fg

de 120 80 .O ce ea ee cc

ee ad face eae ae.

Pe SPA Cee

Tea de 80 60

Heg D+P+1E

Cc eg 14

C face 861 2

Ee face 2583 2

Safaa a 1085

Caea de a

Caa de a

P.O.T. 18%

C.U.T. 0,73%

Te ee 0.00 cdeed a e fg face f e gdee.

2.Aeca deg


2/127



Te bdg ae aea dec 4 a , eac f 6 .O

gda dec e bdg ae 8 a f 5 eac.Te

cg a ae ade f a ag e ce 30 c.

Te acce e bdg de b f e e acce e f

ad e degd ee de b a efced ccee a.

Te e cae a ae ade f a e

ce 12.5c.

Te bdg deged a ag ag 50 ag ace.

Te degd ee cced b e g .Te

g a a face f 135 2ad a a de f 2.

A e gd ee a fe g ad a cffe cc f

e ace.

A e f f, a be f 7 eae cdg aage

,aa ea ae deged.A a eaa bedeged e a f e bdg .

Ue

Te bdg be ceced e ca db e f

ce.Te ae e ded f e c ae e.

Te e f e eec e be de accdg e

ecfed 19/88.

A e bdg be ded a gg d.

Fg


3/127



F e ee de f e bdg e c f e ag ed

da e.Te d ed f e d ad d a

e c b.

A e e e a ae aed dffee c.Te a f

ade f a d.Te cd f ade f ade e.

Te cd f ee a a e degd ee ,ee e

g caed.

Te f ca e eaed b d fag.Te eg f

f 4 .


4/127



1.Geea daa

Obece dec SPA Cee

Lca Taa

Te cc a a ecaga ae e fg de

L=40

=24

I aea dec a 4 a,eac f 6,e e

gda dec a 8 a f 5 eac.

Te eg f e bdg 14 ag D+P+1E.

2.Dec f e cc

Te ce caed Taa.F ec f e

Taa a,accdg P.1001/2006,e fg caacec

ag=0.20g

Tc=0.7

Te fda de f e bdg Df=3.Te f e

fda aed fda de e c,ed gee

cg bea.


5/127



3.Sca e

Te ca e f e bdg ade f efced ccee

fae.C,aea ad gda gde.

Te c ae a ae ec f 6060 c.Te aea gde

ae a ecaga ec f 3060c e e gda gde

ae a ecaga ec f 2550c.

Te ee a ae ca ad ae de f a

e ce f 30c

Te e a ae a ade f a e ce f

12.5c

Te a ca e ade f gde b

dec ad efced ccee ab.

Te f efced ccee ab a e eg +3.50.Te ce

f e ab 20 c efcee b dec.

Te ecd efced ccee ab caed a e eg +7.00

e ce f 20 c ad efced b dec.

Te d efced ccee ab a e eg +10.5 .

Te ccee ed f e e a f e ce C25/30 e

e ccee ed a e fda C20/25.


6/127



Te f e ade f d fag.Dace beee e d

fae 2.5 .Te d ed fd a e eace ca

C40.Te f age 18 degee.

Te d fag c f e fg eee:

P ded a 3 aea dec ad 2.5

gda dec.Te ec f e 15X15c.

P aced e e e ec 15X15c.Te

ae e eg f 2.5.

Rafe e ec f 13X15c ded a 80 c.=>e dace

beee e afe 80 c.

Te f ceg ade f b c d.T f

b c d a ce becae f e a eg f e

ceg.

Te ceg ed b e d dec c 2.5X20c.

Dg e eec e afe e be aed ad

eeced accdg e e.

Ic

Lcac S Ade


7/127



6001.2 2

500

= = <

Sab efced dec

P/180+20=(500+600)*2/180+20=14.22=>,=15c

=L/10=600/10=60 c

b=/2=60/2=30 c

=>>Taea gde

=60 C

b=30 c

=L/10=500/10=50 c

b=/2=50/2=25 c

=>>Lgda gde

=50 c

b=25 c

Te a ec f e c a

ce a 4040 c


8/127



7.1

1.

Se fg : a) Pae f (a f)

Pae F

N. Maea Nae

Secfc

eg[g/3]

Tce

[]

O

eg[daN/2]

1. Pae 420 0.022 9.24

2. Sd Ia 80 0.003 0.24

3. S Cag 1200 0.025 30

4.

Refced Ccee

Sab 2500 0.20 500

5. Pae 1600 0.02 32

TOTAL 571daN/2


9/127



b) Sade Te f(cd f)

Sade Te F

N. Maea Nae

Secfc

eg[g/3]

Tce

[]

O

eg[daN/2]

1. Sade Te 2400 0.008 19.2

2. Ma 2100 0.005 10.5

3.CeaCg 1200 0.037 44.4

4.

Refced Ccee

Sab 2500 0.15 500

5. Pae 1600 0.02 32

TOTAL 606daN/c2

ba=12.5c

aea:ceac bc

=12N/3

g,c=0.125*12=3N/2

fae ceg g bad: =20

gb=11.5 N/3


10/127



gf=0.02*11.5=0.23 N/2

:

ceac bc b=300

b=12 N/3

ga ae:70%

=3.50.6=2.9

=> gc=0.3*12*2.9*0.3=3.13 N/

2.

:

=> C4 caeg => Naa Ae :

=5N/2

=**Ce*C*

Lca: Taa=> =1.5 N/2

Iace ca II=> =1.10

cee ee => Ce=0.8

C=1.00

=0.8

=> =1.10*0.8*0.8*1*1.5=1.05N/2


11/127



We= *Ce*(Ze)

=1.15 ace ca II

Ce= ?

=10.5

b=24

=>d=24

e=29

e

/d=14/24=0.58

Ze A

Aea e A=e/5*=81 2

Aea e B: B=(de/5)*=2552

D=E=40*14= 560

2

=> CeA=Ce10=1.2

CeB=Ce10=0.8

CeD=Ce10=+0.7


12/127



b ea ea fd CeE=0.31

(Ze)=?

Ze==14

(Z)=C(Z)*(Z)

C(Z)=1+2g*I(Z)=1+7*I(Z)

Caeg f ad:III=> Z0=0.3; Z=5

2.35( ) 0.27

142.5 2.50 0.3

= = =

=>C(Z)=1+7*0.27=2.89

(Z)= C02*C

2(Z)*b

C2(Z)=K

2(Z0)* 2

( )

K2(Z0)=0.046

=> C2(Z)=0.53

=>(Z)=0.54*0.6=0.318

=>(Z)=2.89*0.318=0.91

We= *Ce*(Ze)

=>

WeA=1.14*(1.2)*0.91=1.25 N/2

WeB=1.15*(0.8)*0.91=0.83N/2

WeD=1,15*(+0.7)*0.91=+0.0.73 N/2

WeE=1.15*(0.31)*0.91=0.32 N/2


13/127



=14

b=40

=>>e=2

Aea e F

e/4*e/10=10.15 2

Ce,F=Ce,10=1.3

Aea e G

(b2e/4)*e/10=28 2

Ce,G=Ce,10=1.3

Aea e H

(e/2e/10)*b=209 2

CeH=Ce10=0.6

Aea e I

b*e/2=348 2


14/127



CeI=Ce10=.5

(Z)=C(Z)*(Z)

C(Z)=1+2g*I(Z)=1+7*I(Z)

Caeg f ad:III=> Z0=0.3; Z=5

2.35( ) 0.27

142.5 2.5

0 0.3

= = =

=>C(Z)=1+7*0.27=2.76

(Z)= C02*C

2(Z)*b

C2(Z)=K

2(Z0)* 2

( )

K2(Z0)=0.046

=> C2(Z)=0.63

=>(Z)=0.63*0.6=0.38

We= *Ce*(Ze)

=> WeF=1.15*(1.3)*0.38=0.56N/2

WeG=1.15*(1.3)*0.38=0.56N/2

WeH=1.15*(0.6)*0.38=0.26N/2

WeI=1.15*(0.21)*0.38=0.21N/2


15/127



Lca:Taa

ag=0.20g

Tc=0.7

Cec :

Laea dacee efca ( P1002013 Ae E)

dSLS


16/127



Te aed aa fce DCH 1690*1000

0.28 0.4* * 60 *60 *16.67

= = = <

0.1< ee f e ecd de effec ca be egeced

TeaHgEegeca Me

Te cac f e ea eace f e deged e a ade

eec e cde Na C 1071 (Na d cac cefce

gba de ae ec a cde de c ).

T cac a ade f a ee a, e ab abe gd ad e

eace; g e Tee ga.

Te ea eace a deeed ag acc a ee

eee ae ced f ae f ge aea, aced e dec

f e ea f. I de deee ea eace e fa a

aed:

+=

+=

K2R

1 RRR

ee:

==

1 R eace ea dff f e ge ae,

ag e ce J, ad ea cdc J.


17/127



1R = eace ea afe a e e face

1R = eace ea afe a e ee face

J= ea cdc ; e= ea afe ceffce f e face T eace caed e ecea eace, ad e cd

be ffed : R > Rec.

Regadg e cdea caca, e aeaace e e face f

e eee a ceced ad a fd a e eee de ffe ca effec. B cec e cd a ae a ae a accae

e bdg eee dg e cd ea eaaed e a ed f

e ea.

Te cdea cec a ade f a de eeae f 20C ad a

d f 60%, eece 15

C ad 80% d de.


18/127



7.2TeaHgEegeca Cac

Ee Wa


19/127




20/127




21/127



=0.255 1/=3.92 => 1/>R=1.20

Gd Sab


22/127




23/127



=0.23 1/=4.34 => 1/>R=4.20(ab a e fe de f e baee

Sab be ac

`


24/127




25/127




26/127




27/127



7.3Deg f e f fag

Deg f e f eee

Te f fag ade f fd ag e eace ca C40.

Te caacec f e eace ca C40 ae e fg:

eace bedg:

2

,

40 /

=

eace ea: 2, 3,8 / =

d f eac: 20, 14 / =

Te d dec ade f fd ag e fg de:

=2,5c

b=20c

=80c


28/127



1.Ca f e ad

eg f e ceg aea f e f(c d)

g,I=8.3 da/2

eg f e c d

0.025* 0.025*600 150 / = =

Cceaed ad f 100 daN

Lad 1 c d:

ad f e ceg aea

8.3 daN/2*0.2=1.66 daN/

Lad f e eg:

15daN/2*0.2=3daN/

Ta=1.66daN/+3daN/=4.66daN/

Lad f

Te bdg caed Taa.Te ad 105daN/2

S=105da/2

S ad acg 1 c d:

S=S*0.2=105daN/2*0.2=21daN/

Paa afe fac:

F eae ad:1.35

F e ad:1.5


29/127



F cceaed ad :1.2

=>Caca ad f eae ad:

gd=1.35*4.66=6.29 daN/

Caca ad f e ad

Sd=1.5*21=31.5 da/

Caca ad f cceaed fce

1.2*100 daN=1200daN

Lad cba

Cba 1

Peae +S

Cba 2 Peae +cceaed


30/127



Cba 1

(gd+d)*c=(4.66daN/+31.5daN/)*c18=34.71daN/

(gd+d)*==(4.66daN/+31.5daN/)*18=9.76daN/

29.76 *0.80.78 /

8 8

= = =

Cba 2

d*c=120*c18=114.1daN

gd*c=4.66*c18=4.43daN/

d*=120*18=47.1daN

gd*=4.66*c18=1.44daN

2 2* 1.44*0.8 37.1*0.87.67

8 4 8 4

= + = + =

2 2* 4.43*0.8 114.1*0.823.17

8 4 8 4

= + = + =

Reace cecg

+

*

=


31/127



Cba 1

d=0.6 f eae ad

d=0.9 f da ad

22400 /0.6* 184 /

1.3 = =

Cba 2

*0.8 *0.90.9

* .8

+= =

+

2

2

0.9 *400 /

276 /

=

=

+

3

23

2

2 2

20*2.520.83

6

2.5*20166.66

6767 2317

116 /166.66 20.83

116 / 184 /

= =

= =

+ = + =

< =


32/127



Tagea eff

,

,,

2,

* 34.71*0.813.88

2 2* 4.43*0.8 114.1

58.822 2

3

2* * 0.9*1.0*3.8

26.3 / 21.3

3.8 /

0.9

1.0

1.3

= = = =

+= = = =

= = =

=

=

=

=

Cba 2

.

2

3

23 58.82

* 1.76 /2 50

=

f Cba 2

. 2.

2,

* * 0.6*1.0*3.817.5 /

1.3

0.6

1.0

3.8 /1.3

= = =

=

=

==


33/127



.

2

2 2

3

23 13.88

* 0.41 /

2 500.41 / 17.5 /

=

Defec cec

I de e caacec ae

, 1 2 3 = + + +

1 eae adg

def=0.5 f eae adg

def=0.25 f e adg

1 1, (1 ) = +

f2=de ea adg

2 2, (1 )

1.5

0

= +

=

=

, (1 ) = +

g=4.66daN/


34/127



P=100daN/2=50daN

4.66*18 1.44 /

4.66*18 4.43 /

50 *18 13.94

50 18 48

= =

= =

= =

= =

34

34

2.5 *2026.04

12

2.5*20166.66

12

= =

= =

2 21 (1 ) = + +

4 4

1

* *5 51.5* ( * ) ( * ) 0.01

384 384

= + =

4 4

1

* *5 51.25* ( * ) ( * ) 0.15

384 384

= + =

f1=0.01c

f2=0.15c

f=0,15c

fc=0

80 0.53150 50

= = =

,

,

0.01 0.15 0.15 0.31

= + + =


35/127



Ca f Rafe

dace beee afe 80c

bc=13c

c=15c

Lad Eaa

O eg f e afe,ceg,c d

2

* * 0.15*0.15*600 12 /

* 8.3 / *0.80 6.7 /1.35*(12 6.7) 24.75 /

= = =

= == + =

S ad

S=105daN/2

Sd=1.5*105daN/2

Tba aea=0.8

Lad 1 afe

* 24.75*18 23.53 / = =

Lea ad f

127.5*0.80 130.7 / = =

* 130.7*18 124.3 /

124 23.53 147.53 /

= =

= + =

+


36/127



Sea cec

,

,,

2

,

* 34.71*0.813.88

2 2* 4.43*0.8 114.1

58.822 2

3

2* * 0.6*1.0*3.8

17.5 / 21.3

3.8 /

0.6

1.0

1.3

147.83*3221.7

23

170532

= = = =

+= = = =

= = =

=

=

=

=

= =

=

2

/

17053 17500 /


38/127



Ca f e

Sec 1215c

Peae ad

eg

0.12*.15*600 10.8 /

10.8 / *1.35 14.6 /

= =

= =

eg f e ceg ad f e c d

28.3 / 0.15*600*3 294 / + =

Ta eae ad=308daN/

1.35*308 415.8 / = =

Lad f

* 105*3 315 /

1.5*315 472.5 /

= =

= =

( )* .8 /

( )* 8.65 /

= + = 826

= + = 26

Cba 1

Peae +S


39/127



2

2

( )*299 /

8

( )*97 /

8

+ = =

+ = =

Cec f ea eace

2

2

,

,,

2,

2 2

* 826.8*35.15 /

2 2

0.12*0.15 180

3

2

* * 0.6*1.0*3.8 17.5 / 21.3

3.8 /

0.6

1.0

1.3

5.16 / 17.5 /

= = = =

= =

= = =

=

=

=

=

Ce ec 1515 c

I=4218c4

1

2

5.7

5

5.7 5 10.7

12.5

=

=

= + =

< =

Ca f e

P ec 15X15 c

Lad eaa

Peae ad

eg

G=b***

G=0.15*0.15*600*3.9=52.65daN

eg f e f ceg

g,*d1*d2=8.3*2.5*3=62.25daN


41/127



eg f e

g,*d1*d2=0.15*2.5*3=1.125daN

eg f e afe

bc*c**d2=0.13*0.15*600*3=35daN

eg f e

b***d1=0.15*0.15*600*2.5=27daN

Ta ad e f eae ad

Gg=178.12daN

S ad

S*d1*d2=1.05*3*2.5=787daN

G=787daN

Ta ad e (Q)

Q=1.35Gg+1.5G

Q=2405daN=36N


42/127



2

2

34

*

1 8 4 /

* 2 2 5

1 5

1 5

*I 4 2 1 9

1 2

4 2 1 94 .3 3

2 2 53 . 9

0 .2 9

1 5 0

3 9 0 8 9 .6 54 .3 5

3 1 0 07 5

=

=

=

=

= =

=

=

=

=

=

= =

= =

= =

=

= =

> = > =2

2

2

*

3 6 0 04 4 . 2 5 /

0 .3 6 * 2 2 5

1 8 4 /

= 0 .3 6

=

= =

< =


43/127



Ca f e d bae

Cde e ec 201550c

N


44/127




45/127



7.4Deg f e efced ccee a

1.Pedeg

=15c

g,=30c

bg,=30c

2.Lad eaa

Peae ad

a)Ra

g,=*c=0.15*25=3.75N/2

g,d=1.35*g,=1.35*3.75=5.06N/2

b)Sa

g,=/2*ccee=0.18/2*25=2.25/2

g,d=1.35*g,=1.35*2.25=3.03N/2

Fg

gf,=1 N/2

gf,d=1.35*1=1.35N/2

Ta eae ad=9.44N/2

Vaabe ad


46/127



=5 N/2

d=1.5*=1.5*5=7.5N/2

C=C+Cde

C=a(C,b;C,d;10)

Ee Ca XC1

Sca Ca S3(ca edc b 1ebe ab gee)

C,d=10

C,b=a

a=14

C,b=14=>>C=14

Cde=10

C=25

d=d

d=C+/2=32

d=150=32=118

fd=300N/2 (S345)

6

2 2

2

7.52

7.62*10 0.021500*118 *16

1 1 2 0.0

.

21

2.1

7

3

6

= =

= =

=

= = =

S 8/15 A=3.35c2


47/127



6

2

2 2

13.65

13.65*100.03

1500*118 *1

1 1 2 0.031

3.1

7

5

6.6

=

=

=

=

=

=

=

=

S 8/15 A=3.35c2

Ra 2

6

2

2 2

13.73

13.73*100.03

1500*118 *1

1 1 2 0.031

3.1

7

5

6.6

=

=

=

=

=

=

=

=

S 8/15 A=3.35c2

2

2

6

2

6.6

6.6*100.017

1500*118 *16.6

1 1 2 0.018

1.83

7

=

=

=

=

=

=

=

=

S 6/15 A=1.89c2


48/127



2

2

6

2

7.39

6.6*100.019

1500*118 *16.

1 1 2 0.020

2.03

67

=

=

=

=

=

=

=

=

S 8/15 A=3.35c2


49/127



7.5Sab deg

Ca f e ccee ceg ae:

C=C+Cde

C=a(C,b;C,d;10)

a=14

Cde=10

C,d=10 (S3 ca)

=> C=14+10=25

d=C+/2=25+8=31

d=d=20031=169

Cce e :

f e eace efcee: a=3*;200=600,200

=> 200

f e ea efcee : a=3.5*; 300=700;

300=300

e f e ab 6


50/127



e a : 2 2210

+ =

2

2

2

, 0.26 * *

, 0.0013* *

200 25 6 1692

200 25 10 6 1592

2.6 /

345 /

1000

2.6, 0.26* *1000*169 3.313452.6

, 0.26* *1000*59 3.1345

=

= = =

= = =

=

=

=

= =

= = 2

2

2

1

, 0.0013* * 0.0013*1000*159 2.06

, 0.04* * 0.04*1000*2000 80

= =

= =

Refcg f e ab :

Te cac f e ecea efcee aea a ced AVM,fe eee ed cac ga :Te fg e ee eeced :

e ce f e ab ad ccee ca ee dced

e cd ee e

e ad ee dbed e ab face

e face a eed

e ad cba ee defed

a ac aa a ade e aaee f e efced ccee deg ee dced

a f e ecea efcee aea a ce

Te ab efced 2 dec: e gba X&Y dec f AVM


51/127




52/127



7.6Refcg e aea gde

C=C+Cde

C=a(C,b;C,d;10)

Ee Ca XC1

Sca Ca S3(ca edc b 1ebe ab gee)

C,d=10

C,b=a PC52 a=25

C=a(25;20;10)

C=25

Cde=10

C=25+10=35

C=35

d=C+a/2

d=50

d=d=50

d=d

d=60050=550


53/127



Sa 1

,,

6

,

2,

( )

144.6*10300* (550 50)

9.64

=

=

,,

)

6

,

2,

0.5

(

0.5*200.82*10300(550 50)

6.69

=

=

=

S 322 A=11.40c2

S

6,

2 2

2

6,

* * 200.82*10 1016*300*5000.03

300*550 *16.67

1 2 ) 0.038

25

* 21.31

* 1.882*50 94.1

200.82*10 13.3* 300*500

= => = =

= 1.25(1 => =

=

= => = =

< => = = = 2

,

2/3

2, ,

8

0.5* *

0.3 2.55

5.84

=

= => =

= => >


54/127



=>Se 320+218 A=14.5c2

6,

2 2

2

6, 2

,

* * 244*10 1016*300*5000.06

300*550 *16.67

1 2 ) 0.075

25

* 41.25

* 1.882*50 94.1

244*1016.26

* 300*500

= = =

= 1.25(1 => =

=

= => = =

< => = = =

2/3

2, ,

0.5* *

0.3 2.55

5.84

=

= => =

= => >

S 322+218 A=16.48c2

2

,,

6

,

2,

( )

124*10

300* (550 50)

8.26

=

=

=

,,

)

6

,

2,

0.5

(

0.5*236*10

300(550 50)

7.86

=

=

=


55/127



Se 320 A=9.42c2Refcee a e e de

6

,

2 2

2

6, 2

,

* * 236*10 942*300*5000.06

300*550 *16.67

1 2 ) 0.076

25

* 41.8

* 1.882*50 94.1

233*1015.53

* 300*500

= = =

= 1.25(1 => =

=

= => = =

< => = = =

2/3

2, ,

0.5* *

0.3 2.55

5.84

=

= => =

= =>> >

=>Se 322+218 A=16.48c2


56/127



S K

,

2

6

2

2

6, 2

,

* *

233*10 942*300*500

300*550 *16.670.06

1 2 0.076

25* 41.8

* 1.882*50 94.1

233*1015.53

* 300*500

=

=

=

= 1.25(1 => =

=

= => = =

< => = = =

2/3

2, ,

0.5* *

0.3 2.55

5.84

=

= => =

= => >

S 322+218 A=16.48c2

3


57/127



,,

6

,

2,

( )

122*10

300* (550 50)

8.13

=

= =

,,

)

6

,

2,

0.5

(

0.5*231*10

300(550 50)

7.86

=

= =

Se 320 A=9.42c2

Refcee a e e de

6,

2 2

2

6, 2

,

* * 231*10 942*300*500 0.06300*550 *16.67

1 2 0.076

25

* 41.8

* 1.882*50 94.1

231*1015.53

* 300*500

= = =

= 1.25(1 => =

=

= => = =

< => = = =

=

2/3

2, ,

0.5* *

0.3 2.55

5.84

= => =

= => >

S 322+218 A=16.48c2


58/127



6,

2 2

2

6, 2

,

* * 240*10 942*300*5000.06

300*550 *16.67

1 2 0.07525

* 41.25

* 1.882*50 94.1

240*1016.00

* 300 *500

= = =

= 1.25(1 => = =

= => = =

< => = = =

2/3

2, ,

0.5* *

0.3 2.55

5.84

=

= => =

= => >

S 322+218 A=16.48c2

4


59/127



,,

6

,

2,

( )

155*10

300* (550 50)

10.33

=

= =

,,

)

6

,

2,

0.5

(

0.5*263*10

300(550 50)

8.76

=

= =

Se 322 A=11.40c2

6,

2 2

2

6, 2

,

* * 263*10 1140*300*500 0.06300*550 *16.67

1 2 0.075

25

* 41.8

* 1.882*50 94.1

231*1017.53

* 300*500

= = =

= 1.25(1 => =

=

= => = =

< => = = =

2/3

2, ,

0.5* *

0.3 2.55

5.84

=

= => =

= => >

S 322+220 A=17.7c2


60/127



6,

2 2

2

6, 2

,

* * 209*10 942*300*5000.025

300*550 *16.671 2 0.032

25

* 41.25

* 1.882*50 94.1

240*1013.93

* 300 *500

= = =

= 1.25(1 => =

=

= => = =

< => = = =

2/3

2, ,

0.5* *

0.3 2.55

5.84

=

= => =

= => >

S 320+218

A=16.48c2

Sa 1

2

,

,

,

,

1390 1016* *300 28.040.8* * 0.8*300*16.67

* 94.1

( ) 1390*300(550 50)

208.5

( ) 1016*300(550 50)

152.4

= = =

= = =>> > > > > >

Ce 10 c e cca e f e aea bea


68/127



,2

4.5145

173 5.488 145 88 233 233

= => =

= + = + = => =

2

2

2 2

*

233*1000( ) 1.52

* * 300*495

2 2.26

226148

1.52( )

226( ) 1.61 1.52

140* 2*2.26*100

0.01140*300

0.08 / 0.001

0.01 0.001

= = =

12 =

= = =

= = >

= = =

= =

>

0.75*

40

=

=>

Ce 14 c e cca e f e aea bea

Sa 2 cca aea


69/127



,2

4.5145

173 5.488 145 90 235 235

= => =

= + = + = => =

2

2

2 2

*

235*1000( ) 1.58

* * 300*495

2 2.26

226143 14

1.58( )

226( ) 1.61 1.52

140* 2*2.26*100

0.01140*300

0.08 / 0.001

0.

= = =

12 =

= = = =>> =

= = >

= = =

= =

01 0.001

0.75*

40

=

>

=>


70/127



Sa 3

,2

4.5150

180 5.488 135 89 239 239

= => =

= + = + = => =

2

2

2 2

*

239*1000( ) 1.60

* * 300*4952 2.26

226141 14

1.60( )

226( ) 1.61 1.60

140* 2*2.26*100

0.01140*300

0.08 / 0.001

0.

= = =

12 =

= = = =>> =

= = >

= = =

= =

01 0.001

0.75*

40

=

>

=>


71/127



Sa 4

,2

4.5147

176 5.486 147 86 232 232

= => =

= + = + = => =

Sea fce Lgda bea

Sa 1

Mdb,1=Mcaf

*RD=151N *1.2=181.2N

Mdb,2=Mca

*RD=103N *1.2=123.6N


72/127



1 2

,

,

181.2 123.669.27

4.4

107 69 44

67 69.27 136

+ += = =

= =

= + =

Sa 2

Mdb,1=Mcaf

*RD=137N *1.2=164.4N

Mdb,2=Mca

*RD=103N *1.2=123.6N

1 2

,

,

164.4 123.665.45

4.4113 65.45 47.65

65 65.45 130.35

+ += = =

= =

= + =

Sa 3

Mdb,1=Mcaf

*RD=137N *1.2=164.4N

Mdb,2=Mca

*RD=103N *1.2=123.6N

1 2

,

,

164.4 123.6 65.454.4

113 65.45 47.65

62.4 65.45 127.8

+ += = =

= =

= + =

Sa 4

Mdb,1=Mcaf

*RD=137N *1.2=164.4N

Mdb,2=Mca *RD=103N *1.2=123.6N

1 2

,

,

164.4 123.665.45

4.4

113 65.45 47.65

60.4 65.45 125.8

+ += = =

= =

= + =


73/127



Sa 5

Mdb,1=Mcaf

*RD=137N *1.2=164.4N

Mdb,2=Mca

*RD=103N *1.2=123.6N

1 2

,

,

164.4 123.665.45

4.4

113 65.45 47.65

62.6 65.45 128

+ += = =

= =

= + =

Sa 6

Mdb,1=Mcaf

*RD=137N *1.2=164.4N

Mdb,2=Mca

*RD=103N *1.2=123.6N

1 2

,

,

164.4 123.665.45

4.4

113 65.45 47.65

64.6 65.45 130

+ += = =

= =

= + =

Sa 7

Mdb,1=Mcaf

*RD=151N *1.2=181N

Mdb,2=Mca

*RD=103N *1.2=123.6N

1 2

,

,

164.4 123.6659

4.4113 69 44

66.7 69 136

+ += = =

= =

= + =

Sa 8


74/127



Mdb,1=Mcaf

*RD=137N *1.2=164.4N

Mdb,2=Mca

*RD=103N *1.2=123.6N

1 2

,

,

164.4 123.665.45

4.4

115 65.45 50

69 65.45 135

+ += = =

= =

= + =

Sa 1

Mdb,1=Mcaf

*RD=103N *1.2=123.6N

Mdb,2=Mca

*RD=137N *1.2=164.4N

1 2

,

,

164.4 123.6 65.454.4

67 65.45 1.5

107 65.45 172

+ += = =

= =

= + =

Sa 2

Mdb,1=Mcaf

*RD=103N *1.2=123.6N

Mdb,2=Mca

*RD=151N *1.2=181.2N

1 2

,

,

181 123.669.27

4.4

64.9 69.27 3.37

113 69.27 182.27

+ += = =

= =

= + =


75/127



Sa 3

Mdb,1=Mcaf

*RD=103N *1.2=123.6N

Mdb,2=Mca

*RD=137N *1.2=164.4N

1 2

,

,

164.4 123.665.5

4.4

62.4 69.27 3.1

113 65.5 178.5

+ += = =

= =

= + =

Sa 4

Mdb,1=Mcaf

*RD=103N *1.2=123.6N

Mdb,2=Mca

*RD=137N *1.2=164.4N

1 2

,

,

164.4 123.665.5

4.4

60.4 69.27 5.1

113 65.5 178.5

+ += = =

= =

= + =

Sa 5

Mdb,1=Mcaf

*RD=103N *1.2=123.6N

Mdb,2=Mca

*RD=137N *1.2=164.4N

1 2

,

,

164.4 123.665.5

4.4

62.66 69.27 2.84

113 65.5 178.5

+ += = =

= =

= + =

Sa 6

Mdb,1=Mcaf

*RD=103N *1.2=123.6N


76/127



Mdb,2=Mca

*RD=137N *1.2=164.4N

1 2

,

,

164.4 123.665.5

4.464.6 69.27 0.9

113 65.5 178.5

+ += = =

= =

= + =

Sa 7

Mdb,1=Mcaf

*RD=103N *1.2=123.6N

Mdb,2=Mca

*RD=151N *1.2=181N

1 2

,

,

164.4 123.669.27

4.4

66.7 69.27 2.57

115 69.27 182

+ += = =

= =

= + =

Sa 8

Mdb,1=Mcaf

*RD=103N *1.2=123.6N

Mdb,2=Mca *RD=137N *1.2=164.4N

1 2

,

,

164.4 123.665.5

4.4

69 65.5 3.5

115 65.5 181

+ += = =

= =

= + =


77/127



1/3, ,

,

,

3/2 1/2 3/2 1/2,

,

* (100* ) * *

0.180.12

200 2001 1 1.6 2

45064

0.035 * * * * 0.0035 *1.6 * 25 * 250 *450 40

* * / ( )

0.9* 0.9*450 405

=

= =

= + = + =

< / 4;150 ; 7 )

/ 4 125

7 126 12

=

= =>>

Ce =10c(cc e)


78/127



,2

4.4 0.85 143.2177.5 4.4

88 143.2 3.5 146.7 148

= => =

= + = + = => =

2

2

2 2

*

147*1000( ) 1.44

* * 300*495

2 2.26

226156

1.44( )

226( ) 1.5 1.44

150* 2*2.26*100

0.012150*250

0.08 / 0.0010.012 0.001

= = =

12 =

= = =

= = >

= = =

= =>

0.75*

40

=

=>


79/127



7.6Refcee f c

31690*100.26 0.5

* * 600*600*16.67

= = = = =

= = =

= = =

> => = =

=

=

=>>M efcee 522 A=19c2

P II


82/127



, 2 ,

3

2

*2

,

*

0.01

* * 36*

1052*10 131.470.8* * 0.8*600*600

* 1.882 *50 94.1

(0.5* 0.4* )16.70

(0.5* )

135

1052

=

= => = =

= = =

= = =

> => = =

=

=2300 /

=

=>>M efcee 522 A=19c2

P III

, 2 ,

3

2

*2

,

*

0.01

* * 36*

650*1081.23

0.8* * 0.8*600*600* 1.882 *50 94.1

(0.5* )4.6

(0.5* )

128

650

30

=

= => = =

= = =

= = =

< => = =

=

=

= 20 /

=>>M efcee 522 A=19c

2


83/127



P IV

, 2 ,

3

2

*2

,

*

0.01

* * 36*

650*1081.23

0.8* * 0.8*600*600

* 1.882 *50 94.1

(0.5* )1.16

(0.5* )

146

6193

=

= => = =

= = =

= = =

< => = =

=

== 200 /

=>>M efcee 522 A=19c2

P V

, 2 ,

3

2

*2

,

*

0.01

* * 36

*650*10

27.490.8* * 0.8*600*600

* 1.882 *50 94.1

(0.5* )6.25

(0.5* )

47

220

300

=

= => = =

= = =

= = =

< => = =

=

=

=

2

/

=>>M efcee 522 A=19c2


84/127



P VI

, 2 ,

3

2

*2

,

*

0.01

* * 36*

189*1023.62

0.8* * 0.8*600*600

* 1.882 *50 94.1

(0.5* )9.72

(0.5* )

73

189300

=

= => = =

= = =

= = =

< => = =

=

== 2/

Ca f e e caabe bedg e e

c

P I

.

1083

135.54

(0.5 0.4 ) * (0.5 )

546.2

=

=

> =>> = +

=

P II

.

1052

131.47

(0.5 0.4 ) * (0.5 )

530.2

=

=

> =>> = +

=


85/127



P III

.

650

81.23( * )(0.5 )

432.5

=

=< =>> = +

=

P IV

.

620

77.35

( * )(0.5 )

425

=

=

< =>> = +

=

P IV

.

220

27.49

( * )(0.5 )

325

=

=

< =>> = +

=

P IV

.

189

23.69

( * )(0.5 )318

=

=

< =>> = + =


86/127



C efcee Y dec(gda gde)

* * ( )

19481636

1.2

=

==

=

Rd=1.3(DCH)


87/127



*

*

1.3*1.2*

1.56*

=

=

* * ( )

1948

1646

1.2

=

=

=

=

Rd=1.3(DCH)

*

*

1.3*1.2*

1.56*

=

=

Md*

daga


88/127



P I

, 2 ,

3

2

*2

,

*

0.01

* * 36*

1083*10135.54

0.8* * 0.8*600*600

* 1.882 *50 94.1

(0.5* 0.4* )6.56

(0.5* )

217

1083

=

= => = =

= = =

= = =

> => = =

=

=

=>>M efcee 522 A=19c2

P II

, 2 ,

3

2

*2

,

*

0.01

* * 36*

1083*10131.54

0.8 * * 0.8 *600 * 600

* 1.882 *50 94.1

(0.5* 0.4* )14.43

(0.5* )

152

1052

=

= => = =

= = =

= = =

> => = =

=

=

=>>M efcee 522 A=19c2


89/127



P III

, 2 ,

3

2

*2

,

*

0.01

* * 36*

650*1081.23

0.8 * * 0.8 *600 * 600

* 1.882 *50 94.1

(0.5* )24.66

(0.5* )

144

650

=

= => = =

= = =

= = =

< => = =

=

=

= 2300 /

=>>M efcee 522 A=19c2

P IV

, 2 ,

3

2

*2

,

*

0.01

* * 36*

650*1077.35

0.8 * * 0.8 *600 * 600

* 1.882 *50 94.1

(0.5* )

1.10(0.5* )

53

220

300

=

= => = =

= = =

= = =

< => = =

=

=

= 2/

=>>M efcee 522 A=19c2


90/127



P V

, 2 ,

3

2

*2

,

*

0.01

* * 36*

650*1027.49

0.8 * * 0.8 *600 * 600

* 1.882 *50 94.1

(0.5* )0.26

(0.5* )

53

220

30

=

= => = =

= = =

= = =

< => = =

=

=

= 20 /

=>>M efcee 522 A=19c2

P VI

, 2 ,

3

2

*2

,

*

0.01

* * 36*

650*1023.7

0.8 * * 0.8 *600 * 600

* 1.882 *50 94.1

(0.5* )

4.63(0.5* )

82

189

300

=

= => = =

= = =

= = =

< => = =

=

=

= 2/

=>>M efcee 522 A=19c2


91/127



1 1

1

22 2

2

*

1.3*537 698

* * 1;

=

= =

=

d=1.3 (c bae DCH cd)

Se dec=>>

2

2

2

2

2

390

963

0.40

1.3*531*0.40 277

=

=

=

= =

1 2 698.1 277 3043.2

/ 2 3.2

+ += = =

= =

Mdc2=277N


92/127



2

2

3

2

390

425 325 750

0.52

1.3* 425* 0.40 264

277

=

= + =

=

= =

=

2 3 264 277 1872.9

2.9

+ += = =

= =

Mdc2=277N

3

2

264

1.2*318 382

=

= =

2 3 264 318 2002.9

2.9

+ += = =

= =

Sea fce daga


93/127



P A

2

*

2

304*1000( ) 2.00

309*495

309 /0.9 * 495

600 50 550

= = =

== =

= = =

c=a1.5c;c/6;600

c=a90;54;60

c=90c

c/c=2.9/0.6=4.83>3

,a


94/127



,a>

= = >

= = =

=

0.005>

2

2

2 2

*

200*1000( ) 1.30

* * 309*495

0 ( ) 4*0.785 3.14

314230

1.30( )

12

314( ) 2.61 1.30

120* 4*3.14*100

0.04120*250

0.005

0.

= = =

1 = =

= = =

=>>

= = >

= = =

=

04 0.005>


95/127



7.7Ca f e de

Te de a e de

1.F cae e e ec ad a a ef g dec

2

2

3

( )*

3 22 2 18 16.48

3 20 6.42

56

1.2* (1648 942)*300 56*10877

= +

= + =

= =

=

= + =

600*877 877

600

= = =


96/127



3

1 * * *

250.6(1 ) 0.54

250

643*100.16

* * 600 *600 *16.67

( ; ( 0.5 ))(600;600)

600

0.160.54 1 *600*600*16.67

0.542718

877 2718

= =

= = =

= +=

=

<

3

2

0.8( )* (1 0.8 )

644*100.11

600*600*16.67

0.8* (1648 942)*300(1 0.8*0.11) 18.34309

+ =

= =

+ = =


97/127



2*4*0.785

18.84 *4*0.785

6

=

=

=

1 2

1 2

2

2

2( / )

3600 46 46 509

600 57 55 488

2 508*1844*

3 488

12.79

19.00

= = =

= = =

=

2.Secd cae e e ec ad a e dec f g ef


98/127



2

2

3

( )*

3 22 2 18 16.48

3 20 6.42

56

1.2* (1648 942)*300 56*10

877

= +

= + =

= =

== +

=

Veca ea fce

600*877 877

600

= = =

3

1 * * *

250.6(1 ) 0.54

250

649*100.10

* * 600 *600 *16.67

( ;( 0.5 ))

(600;600)

6000.10

0.54 1 *600*600*16.670.54

2925

877 2925

= =

= = =

= +

=

=

<


99/127



3

2

0.8( )* (1 0.8 )

644*100.11

600*600*16.670.8* (1648 942)*300(1 0.8*0.11)

18.34309

+ =

= =

+ = =

2*4*0.785

18.84 *4*0.785

6

=

=

=


100/127



O e ca ee e geecca d a de deged a bdg 4

a ad 8 ba. Te c ec 6060 c: .S caacec ae defed be

F1.

Te bdg a degd ee,gd ee ad a f ee.

Fce acg e c ae:

N= 1700 N

M =138 N

V=67 N

M=131 N

V=60 KN

Te fda a e fg caacec:

2

3

48 /

12

18.5 /

=

=

=

,

0.4

3

9.38

=

=

=

B


101/127



Te cd f deeg e fda de ae: Fda de;

D =3.0

:

We ce :

B=2.4

L=2.4

bc=1.4

c=1.4


102/127



We ae fe , g ac de (I>20% ; e0.65 => =0.5.

A >1.3 => =0.8 .

D= 3.40

B = +CB+CD

K=0.05 Cee

CB= *K1(B1)

CB=279*0.005(2.41)

CB=19.53

( 2)

18.5*0.4

18.5

=

=

=

=> =279+19.53+18.5=311


103/127



2 2

6 61, 2,3,4 =

* * *

G = L*B*H* + *** = 2.4*2.4*0.8*24+1.4*1.4*0.5*25 =135

M 138 = = = 0.07

N+ G 1690 +107.32135

M 131 = = = 0.07

N+ G 1690 135+

A A 2 2

2 2

1 2 1

=0.4

=3

=9.38

=1.7*18.5=31.45 /2

=48 /2

B/=2.2/2.2=1 =>

,=1.3

=0.6

= 18.5*2.26*0.4*0.6+3*1.3*31.45+48*9.38*1.3=718 /2


105/127



= 2428 317 317 206

317 /4

+ + +

=

< *

1

2

0

01=+G=1690+1.4*1.4*0.5*25=1715

01=+*=138+67*0.5=171.5 /2

01=+*=131+60*0.5=161 /2

= 01 171.5

0.101 1715.5

= =

= 01 161 0.0901 1714.5

= =

1


106/127



1(1 /)

0.000/ 0.001. /

22

01 6 1714.5 6*0.1(1 ) (1 ) 656 /* 1.4 1.4

= =

0.00(100 /)

22

01 6 1714.5 6*0.09(1 ) (1 ) 1212 /

* 1.4 1.4

+ = + =

(1 /)

0.00

22

01 6 1714.5 6*0.09(1 ) (1 ) 55 /

* 1.4 1.4

= =

0.00(100 /)

0 21 2 1250 656

( ) 2 (1.4 0.4) 656 658 /1.4

+ = + =

=()/2=0.4

=()/2=0.4

0 23 4 1212 543

( ) 4 (1.4 0.4) 543 1021 /1.4

+ = + =

21 2 (1250 656) / 2 953 /2

+= = + =

23 4 (1212 543) / 2 878 /2

+= = + =

=2 2 2 20.4 0.4

0* ( 1 0)* 1.4*658* (1250 658)* 117.82 3 2 3

+ = + =


107/127



=**/1.**0./. /

(+/)0(.+/).

0

10

0.

00 .

00 /

62117.8*10 9.86

0.875* 0 * 0.875*455*300

= = =

714, A=10.78 2

6298.24*10 8.60

0.875* 0 * 0.875*435*300

= = =

614, A=9.24 2

10780.16%

* 0 1400 * 455

= = =

9240.13%

* 0 1400*435

= = =

2*(C+/2)=(1408.4)/6=21


108/127



=> 714/21

2*(C+/2)=(1408.4)/6=21

=>614/21

C20/20

C52

=0.6

=0.3

=6

=2.9 * 0.3 *12 /3*=7.97

=(*2)/8=(7.97*62)/8=35.8

=*=7.97*6=47.82

6

2 2

2

35.86*10

0.02* * 300*555 13.33

1 1 2* 1 1 2*0.02 0.03

13.33* * 0.03*300*555 2.21

300

= = =

= = =

= = =

i


109/127



==50(C+/2)=55.5

=20/1.5=13.33

2.20.5 0.5*345

=>

>0.0027

316 A=6.03 2

6030.006 0.003

* 300 *555

= = = >

: =6

=>=8

0.75 40 =>

* 2*50.30.0016

* 400 *300

0.08 200.001

345

= = =

= =>=>8/40


110/127




111/127




112/127



P D+P+E SPA.

P , :

, .

DOCTEC.

(, , ), DCL.

. : , ,

, ( , , ,

).D :I II III .

P MICROSOFT PROJECT, DOCTEC.A :

GANTT


113/127



( , )

360 . GANTT : C = 0.73. A . R 27 .

P , .

A : . . S (, ), (, , ), (, , ,, ).

. ,

.

, . N ,

.


114/127



8.2Idca ececc

1.Cefce de aaae

( * ) 55730.73 0.65

* . 360*21

= = >

A e VM

1 4 4

1 2 2

30 13 390

33 20 660

33 20 660

33 20 660

16 8 128

2 2 4

14 9 126

14 9 126

14 9 126

46 18 828

13 14 182

13 11 143

7 5 35

28 8 224

20 8 160

10 10 100

3 5 15

4573

Daa eece De=361 e


115/127



Na a de c=26

Cefce de aaae=0.72

2. ( )

I=2.995.668 e

Idc de c e aeae

Ce

2583000 202.4 /2880

5830000.19 /

2995668

= = =

= = =

Aaa

2163070

57 /2880

1630700.054 /

2995668

= = =

= = =

Caada

228088 9.75 /2880

280880.009 /

2995668

= = =

= = =

3.

D=360 e


116/127



4.

S=960 2

5.

Sd=2880 2

6.

POT=12%

7.

CUT=0.49

8.

2 22995668 1040 / 236 /2880

= = = =

9.

( )

2883244

1784 /

31725

162134 /

= +

+ =

=

=

=


117/127



Sab e e degdeeefcee aea Y dec

B efcee Y dec


118/127



T efcee aea X de

Befcee X dec


119/127



Sab e e a f:T efcee Y dec

Sab e a f:B efcee Y dec


120/127



Sab e a f:T efcee X dec

Sab e a f:B efcee X dec


121/127



Sa efcee

Ra 1

Ra 2


122/127



Taea gde

Lgda gde


123/127




124/127



Bedg e C

Aa fce c f cba S7


125/127



Aa fce c cba cag S8


126/127




127/127



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Structura cadre din beton armat