pecurkaste ploce

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pecurkaste

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Tipovi kapitela:

Pečurkaste ploče

Manja opterećenja Veća opterećenja

Metoda zamenjujućih okvira

• Metoda podrazumeva da ploča sa stubovima čini kontinualni okvir• U propisima mnogih zemalja• Široka primena (metoda traka)

Metoda zamenjujućih okvira

Računski rasponi i visine zamenjujućeg okvira, krutost rigle

Raspodela momenta po trakama na širini polja lx

Raspodela momenta po trakama na širini polja lx - DIN

Raspodela momenta po trakama na širini polja lx - BAB 87

Armiranje pečurkastih ploča

Armiranje kapitela:

Proračun na probijanje(ploča bez ili sa kapitelom)

Uticaj blizine otvora na probijanje:

Položaj armature za osiguranje od proboja

Kada je presek stuba pravougaonik, dimenzija b/d, onda se zamenjujući prečnikkružnog preseka sračunava kao

ds = 1.13√bd

Ako je d > 1.5b treba uzeti d=1.5b. Razlog za ovo je što se koncentracija smicanjadešava na uglovima, s jedne strane, a sa druge, na bočnim stranama stuba većedužine ne vlada dvoosno stanje napona pa su dopušteni naponi manji i taj deo sezanemaruje.

41.7 43.3

46.7

48.1 46.3

1.0

36.4

50.0

74.7

3.8

34.4

54.2

77.1

50.1 50.3

65.4

49.0

56.6

43.2

13.1

37.7

53.2

71.0

0.0

-68.2

-68.2

-68.2 -68.2

-68.2 -68.2

-136.4 -1

36.4

-136.4

-136.4-136.4

-68.2

-136.4-68.2

-68.2

0.0

0.0

-68.2-68.2

-68.2

0.0

-68.20.0

0.0

0.0

0.0

0.0

-68.2 -68.

2

-68.

2

-68.

2

-68.2

-204.7

-409.3-204.7

-204.7

-341.1-204.7

-409.3-204.7

-272.9

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.00

5

8.00

6

6.30

7

63.8

-57.4

-400.7

-75.4

44.8

32.4

-479.7

-174.1

-113.3

53.2

51.2

34.3

-379.7

-133.5

-70.0

50.0

41.0

25.2

-424.3

-125.2

-76.5

50.3

43.5

43.2

-495.0

-128.5

-78.8

49.4

49.0

43.2

-428.0

-282.5

-97.2

65.4

59.3

33.8

Op

t. 4: 1.6xI+1.8xII

Utica

ji u plo

či: max M

y= 7

7.1 / min

My=

-614

.0 kNm

/m N

ivo: [5.76

m]

1.7

45.053.6

-578.0

13.8

2.0

57.6

28.6

2.2

3.5

1.11.4

6.0

1.5-568.3

-614.0

4.5

38.8

39.4

26.04.0

40.5

21.0

63.6

3.3

25.0

-554.0

-550.4

43.1

17.1

1.81.8

2.6

60.5

1.2

41.5

29.7

4.2

0.2

2.0

0.0

0.0

-68.

2

0.00.0

-68.2

-68.2

0.0

0.00.0

0.0

-68.2

-68.2

-136.4 0.0

-136.4

-68.2 -68.2 -68.2

-136.4 -136.4 -136.4

-68.2

0.0 0.0

0.0

0.0 -204.7-136.4

-68.2

0.0

0.0

-68.

2

-68.2

-68.2

-68.2 -68.2 -68.2 -68.2

-136.4

-68.2

-136.4

-136.4

-136.4 -136.4-136.4

-204.7

-136.4

-68.2

-204.7

-204.7

-68.2-204.7

0.0

0.0

-272.9

0.0

-409.3

-204.7

-204.7

-409.3

-272.9

-409.3

-204.7-204.7

-204.7

-409.3

-272.9-136.4

-545.7

-272.9 -272.9-136.4

A

B

C

D

E

F

G

H

I

1

2.00

2

6.00

3

8.00

4 -461.8

-379.1

-66.9

43.3

29.3

-454.9

-450.2

-98.2

41.9

40.4

-405.2

-386.8

39.4

-32.1

28.4

-465.8

-399.0

-46.4

43.0

25.0

-550.4

-531.5

60.3

-614.0

-554.0

63.6

-568.3

-479.7

-81.4

57.1

1.2

2.3

3.5

3.5

7.1

0.0

4.7

0.0 0.0 0.0

0.0

0.0

0.0 0.0

0.0

1.2

2.3

5.9

3.5

0.0

0.0

1.2

0.0

2.3

3.5

4.7

0.0

0.0

0.0

0.0

1.2

1.2

1.2

0.0

0.0

0.0

2.3

1.2

0.0

0.0

1.2 1.2 0

.0

1.2

1.2 1

.2

2.3

0.0

2. 3

2.32.3

3.5

1.2

0.0

3.5 0

.0

1.2

0.0 0.0

1.2

0.0

0.0

0.00.0 0.0

0.0

0.0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

5

8.00

6

6.30

7

7.7

6.2

5.6

5.4

4.7

2.2

6.1

Mero

davno

opte

reće

nje: 1.60xI+1

.80xII

PB

AB

87, M

B 30

, RA

400

/500

, a=2

.00 cm

Aa - d

.zona

- Prava

c 1 - max Aa

1,d= 11

.7 cm

2/m

Nivo: [5.7

6 m]

11.7

11.7

0.0

0.0

1.2

2.3

3.5

3.5

2.3

1.2

0.0

0.0

1.2

0.0

1.2

2.3

2. 3

1.2

0.0

0.0

1.2

2.3

0.0

1. 2

0.0

1.2

2.3

1.2

0. 0 0.0

2.3

2.3

3.5

3.5

3.5

4.7

2.3

4.7

3.5

5.9

4.7

3.5

7.1

0.0

5.9 0.0 5.9

0.0

0.0

0.0

7.1

0.0

0.0

8.2

3.5

4.7

5.9

7.1 9

.4

0.0

0.0

4.7

5.9

7.1

8.2 4

.7

5.9

0.0

0.0

0.0

1.2

0.0

1.2

1.2

0.0

0.0

1.2

0.0

0.0

0.0

1.2

2. 3

2.3

0.0

2.3

0.0 0.0

3.5

0.0

7.1

3.5

4.7

0.0

5.9

3.5

7.1

5.9

8.2

9.40.0 0.0 0.0 0.0

0.0

0.0 0.0

0.0 0.0

8.2

0.0 0.0

0.0

1.2

0.0

1.2

2.3

3.5

4.7

5.9

7.1

8.2 9

.4

0.0

1.2

0.0

2. 3

2.3

9.4

0.0

0.0

0.0

0.0

0.0

0.00.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

A

B

C

D

E

F

G

H

I

1

2.00

2

6.00

3

8.00

4

8.00

7.7

6.2

5.6

5.4

4.7

8.1

7.0

4.6

4.5

0.7

4.7

9.6

9.5

4.4

4.4

1.4

1.2

2.5

-30.6

-0.0

-3.2

-3.2

-6.4

-3.2

-3.2

-6.4

-3.2

- 3.2

-6.4

-3.2

-15.9-1

2.7

-9.6

-9.6

-6.4

-9.6

-6.4

-15.9 -9.6

-6.4

-19.1

-9.6

-9.6

-6.4

-3.2

-12.7

-12.7

-12.7

-12.7

-6.4

-9.6

-3.2

-6.4

-3.2

-3.2

-6.4

-3.2

-6.4 -3

.2

-0.0

-0.0

-0.0-6.4

-6.4

-3.2

-3.2 -0

.0

-0.0

-0.0

-0.0

-0.0

-0.0

-0.0

-3.2

-3.2

-3.2 -3.2

-3. 2-6

.4

-6.4

-6.4

-9.6

-9.6

-6.4

-12.7

-19.1-6

.4

-9.6-1

5.9

-12.7-9

.6

-9.6-1

5.9

-6.4

-9.6

-12.7

-3.2

-9.6

-15. 9

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

5

8.00

6

6.30

7

-25.8

-22.5

-22.0

-19.5

-17.7

-9.8

-7.6

-5.5

-4.1

-4.0

Mero

davno

opte

reće

nje: 1.60xI+1

.80xII

PB

AB

87, M

B 30

, RA

400

/500

, a=2

.00 cm

Aa - g

.zona

- Prava

c 1 - max Aa

1,g= -3

1.8 cm

2/m N

ivo: [5.7

6 m]

-30.5

-31.2

-31.8

-29.1

-29.4

-0.0

-0.0

- 3.2

-0.0

-0.0

-6.4

-0. 0

-0.0

-3.2

-6.4

-0.0

-0.0

-6.4

-3.2

-3.2

-0.0

- 0.0

-0.0

-6.4

-6.4

-3.2

-3.2

-3.2

-3.2

-9.6

-6.4

-9.6

-6.4

-9. 6

-6.4

-15.9

-9. 6

-6.4

-15.9

-3.2

-9.6

-6.4

-9.6

-3.2

-0.0

-15.9-12.7

- 0. 0

-9.6 -3

.2

-6.4

-0.0

- 3.2

-0.0

-0.0

-0.0

-3. 2

-12.7

-9.6

-0.0

-9.6

-3.2

-3.2

-9.6

-12.7

-3.2

-12.7-0.0

-3.2

-3.2

-3.2

-3.2

-3.2

-6.4

-3.2

-0.0 -3

.2

-9.6

-6.4

-12.7

-9.6

-6.4

-6.4

-9.6

-6.4

-9.6

-6.4

-9.6

-0.0

-9.6

-6. 4

- 6. 4

-3.2

-9.6

-0.0

-3.2

-0.0

-6.4

-12.7 -9

.6

-9.6

-12.7

-9.6

-0.0

-19.1-12.7

-0.0

-3.2 -6.4

-0.0-22.3 -15.9 -19.1 -19.1 -19.1

-6.4

-12.7-2

2.3

-6.4

-9.6

-15.9

-12.7-3

.2-6

.4 -15.9

-6.4 -1

2.7

-3.2

-6.4

-12.7

-19.1

-6.4

-12.7

-19.1

-6.4

-9.6

- 15.9

-12.7

-19.1

-6.4

-9.6

-15.9

-6.4

-12.7-6

.4

-3.2

-15.9

-12.7

-6.4

-9.6

-15.9 -9

.6-12.7

-9.6

A

B

C

D

E

F

G

H

I

1

2.00

2

6.00

3

8.00

4

8.00

-27.7

-23.5

-22.6

-19.6

-18.9

-5.6

-4.8

-19.9

-8.8

-3.3

-21.9

-22.1

-4.1

-4.1

-28.4

-20.9

-20.0

-19.9

-14.2

-10.4

-2.3

-1.9

9.9

10.2

9.4

0.01.0

0.0

0.0

2.03.1

4.15.16.17.2

8.24.1

4.1

4.19.2

5.1 5.1 5.1

0.0

0.0 0.0 0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

1.0

2.03.1 4.1

5.1

4.15.1

6.1

7.28.2

9.2

6.1

9.2

7.2

0.0

0.0 0.0

0.01.02.0 3.1

4.15.1

6.1 6.1 6.1

2.00.01.0 0.0 0

.04.1

0.0

0.0

0.0

0.0

0.0

0. 00.0 0.0

0.00.0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.00

5

8.00

6

6.30

7

8.4 5.6

4.7

7.0

6.7

4.4

6.5

5.3

3.2

6.6

5.7

5.6

6.4

6.4

5.6

8.6

7.8

4.4

Me

roda

vno op

terećen

je: 1.6

0xI+1.8

0xII P

BAB

87, M

B 3

0, RA

400

/500, a

=2.00

cm

Aa - d

.zona - P

ravac 2 - m

ax Aa2

,d= 10

.2 cm

2/m

Nivo: [5

.76 m

]

0.0

0.0

1.0

0.0

0.00.0

2.03.1

0.0

1.0

0.0

4.1

1.0

4.1

5.1 3.12.0

0.0

0.0

0.0

0.0

0.00.0 0.0

0.0

0.0

0.0 0.0

1.0

0. 0

2.0 3.1

0.0 0.00.0

0.0

0.0

0.0

0.0

0.0

4.15.1 6.1

4.1

5.1

6.14.1

7.28.2

7.2

0.0

0.0 0.0 0.0

0.0

0.0

0.0

0.0

0.0

0.0 0.0

0.0

0.0

1.0

0.0

0.0

0.0

0.0

0.0

0.0

0.00.0

0.00.0

0.0

0.0

0.0 0.0

0.0

0.0 0.00.0

A

B

C

D

E

F

G

H

I

1

2.00

2

6.00

3

8.00

4

5.6

3.8

5.4

5.3

5.1

3.7

5.6

3.2

7.9 8.4

5.0

0.8

6.7

2.7

7.5

0.0

-4.4 -4.4

-4.4

-4.4

-4.4

-13.1

-8.7 -8.7

-13.1

-8.7

-4.4

-8.7 -8.7

-13.1

-8.7

-21.9

-13.1

-21.9

-17.5

-13.1

-17.5

-17.5

-13.1

-17.5

-13.1

-17.5

-13.1

-4.4

-8.7 -8.7

0.0

0.0

-13.1

0.0

-4.4

-4.4

-4.4

-4.4-8.7

0.0

-8.7 -13.1 -13.1 -13.1 -13.1

0.0

0.0

0.0

-4.4

0.00.0 0.0

-4.4

-4.4 -4.4

-4.4

-8.7

-17.5

-8.7

-17.5

-4.4

-17.5

-13.1

-4.4

-8.7

-13.1

-8.7

-4.4

-17.5-8.7

-13.1

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.00

5

8.00

6

6.30

7

-8.0 -24.3

-10.8

-25.5

-20.1

-14.5

-19.9

-15.0

-8.8

-20.4

-14.0

-10.2

-23.7

-14.4

-10.6

-27.5

-22.7

-13.1

Me

rod

avn

o o

pte

reće

nje

: 1.6

0xI+

1.8

0xII

PB

AB

87

, MB

30

, RA

40

0/5

00

, a=

2.0

0 cm

Aa

- g.zo

na

- Pra

vac 2

- ma

x Aa

2,g

= -4

3.7

cm2

/m N

ivo: [5

.76

m]

-42.0

-43.7

-4.4

0.0

0.0

-4.4

-8.7

0.00.0

-4.4-4.4

-4.4

0.0

0.0

0.0

0.0

-4.4 -4.4

-4.4-8.7

-4.4

-4.4

-4.4

-8.7

-8.7

-13.1

0.0 -8.7 -8

.7

-13.1

-8.7

-13.1

-13.1

-8.7

-4.4-8.7

-4.4

0.0

-4.4 -4.4

-4.4

0.0

-8.7

0.0

0.0

-4.4

-26.2

-8.70.0

-4.4

-4.4-4.4

-8.7-4.4

-8.7

-13.1

-4.4

-8.7

-4.4

-8.7

-13.1

-13.1

-13.1

-8.7

-13.1

-8.7

-4.4-8.7

-13.1

-13.1

-26.2

-17.5

-21.9 -1

7.5 -1

7.5 -1

7.5

-26.2

-26.2

-17.5

-39.3

-21.9

-4.4

-8.7

-8.7-13.1

0.0

-30.6

-13.10.0

-13.1

-17.5

-8.7

-17.5

-8.7

-17.5

-8.7

-13.1

-4.4-13.1

-21.9-13.1

-17.5

-4.4 -4.4

-8.7

-4.4

-17.5

-4.4

-13.1

-17.5

-4.4

-8.7-17.5

-4.4

-4.4

-8.7

-13.1

-26.2

-4.4

-8.7

-13.1

-4.4

-13.1

-17.5

-4.4-4.4

A

B

C

D

E

F

G

H

I

1

2.00

2

6.00

3

8.00

4 -24.7

-19.4

-7.3

-24.6

-24.6

-10.7

-20.9

-20.3

-3.9

-24.2

-21.0

-5.6

-27.0

-23.3

-30.0

-24.1 -7.6

-5.2

-5.4

-5.1

-0.8 -28.3

-25.0

PO

S 1

16

d =

0.5

0 m

PO

S 1

17

d =

0.5

0 m

POS 118

d = 0.5

0 m

POS 119

d = 0.5

0 m

POS 120

d = 0.5

0 m

POS 121

d = 0.5

0 m

POS 115

d = 0.2

2 m

-9.8

0.2

-1.1

-1.1

-2.2

-3.3

-3.3

-5.4

-4.4

-5.4

-2.2

-6.5

-7.6

-5.4

-8.7

-3.3

-3.3 -6

.5

-3.3

-1.1-2.2

-1.1

-1.1

0.0

-1.1

-3.3

-4.4

-5.4

-5.4

-5.4-6

.5

-1.1

-4.4-5.4

-6.5

-4.4-7.6

-4.4

-4.4

-4.4 -4.4

-3.3

-3.3

-2.2 -2.2

-2.2-1.1 -1.1

-1.1-1.1-1.1

b/d=50/80

G 103

b/d=40

/50

G 1

09

b/d=40/50

G 104

b/d=40/50

G 108

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.0

0

8.00

5

8.00

6

6.30

7

Opt. 3

: I+II, R

elativno p

omera

nje ploce (bez skra

ćenja vertikaln

ih e

leme

nata i s

lega

nja tla)

Utica

ji u ploči: m

ax Z

p= 0

.7 / min

Zp=

-9.8

m / 10

00 N

ivo: [5.76

m]

POS 102-

2

d = 0

.50 m

POS 101

d = 0

.50 m

POS 102-

1

d = 0

.50 m

POS 103

d = 0

.50 m

POS 104

d = 0

.50 m

POS 108

d = 0

.50 m

POS 110

d = 0

.50 m

POS 111

d = 0

.50 m

POS 112

d = 0

.50 m

POS 113

d = 0

.50 m

POS 114

d = 0

.50 m

POS 107

d = 0.5

0 m

POS 115

d = 0.2

2 m

POS 106

d = 0

.50 m

POS 105

d = 0.5

0 m

0.4

0.3

0.7

0.2

0.3

0.2

0.1

0.3

0.6

-1.1

-2.2

-1.1-1.1

0.0

-2.2 -1

.1

-2.2

-2.2

-2.2

0.0-3.3

-4.4

-1.1

-1.1

-5.4

0.0

-4.4

-2.2

-1.1

-3.3 -6

.5

-5.4 -3.3

-5.4

-5.4

-6.5

-6.5

-6.5 -7.6

-3.3

0.0

-1.1

-1.1

-1.1 -2.2

-1.1

0.0

-5.4 -5.4

-1.1

-2.2

-6.5

-3.3

-7.6

-5.4

-3.3

b/d=40/50

G 101

b/d=40/50

G 1

06

b/d=40/50

G 1

07

b/d=40/50

G 102

A

B

C

D

E

F

G

H

I

1

2.00

2

6.00

3

8.00

4

enja vertikaln

ih e

leme

nata i s

lega

nja tla)

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