pecurkaste ploce

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Tipovi kapitela: Pečurkaste ploče Manja opterećenja Veća opterećenja

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Page 1: Pecurkaste ploce

Tipovi kapitela:

Pečurkaste ploče

Manja opterećenja Veća opterećenja

Page 2: Pecurkaste ploce
Page 3: Pecurkaste ploce

Metoda zamenjujućih okvira

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

Page 4: Pecurkaste ploce

Metoda zamenjujućih okvira

Računski rasponi i visine zamenjujućeg okvira, krutost rigle

Page 5: Pecurkaste ploce

Raspodela momenta po trakama na širini polja lx

Page 6: Pecurkaste ploce

Raspodela momenta po trakama na širini polja lx - DIN

Page 7: Pecurkaste ploce

Raspodela momenta po trakama na širini polja lx - BAB 87

Page 8: Pecurkaste ploce
Page 9: Pecurkaste ploce

Armiranje pečurkastih ploča

Armiranje kapitela:

Page 10: Pecurkaste ploce
Page 11: Pecurkaste ploce
Page 12: Pecurkaste ploce
Page 13: Pecurkaste ploce
Page 14: Pecurkaste ploce

Proračun na probijanje(ploča bez ili sa kapitelom)

Page 15: Pecurkaste ploce
Page 16: Pecurkaste ploce
Page 17: Pecurkaste ploce
Page 18: Pecurkaste ploce
Page 19: Pecurkaste ploce

Uticaj blizine otvora na probijanje:

Page 20: Pecurkaste ploce

Položaj armature za osiguranje od proboja

Page 21: Pecurkaste ploce
Page 22: Pecurkaste ploce

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.

Page 23: Pecurkaste ploce
Page 24: Pecurkaste ploce
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Page 27: Pecurkaste ploce

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

Page 28: Pecurkaste ploce

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

Page 29: Pecurkaste ploce

-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

Page 30: Pecurkaste ploce

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

Page 31: Pecurkaste ploce

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

Page 32: Pecurkaste ploce

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)