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CALCULUL ARMATURII PLANSEULUI PESTE SUBSOL

CALCULUL ARMATURII PLANSEULUI PESTE SUBSOL


CALCULUL ARMATURII PLANSEULUI PESTE SUBSOL

Evaluarea incarcarilor :

  1. greutate proprie placa :lb * hp * n = 2500 * 0.13 * 1.1 = 357.5 daN/m2
  2. tencuiala : lt * δt * n = 1900 * 0.015 * 1.3 = 37.05 daN/m2
  3. inc . utila = 150 *n = 150 * 1.4 = 210 daN/m2

evaluarea incarcarilor la nivelul pardoseli:

o      pardoseala rece :



placi pardoseala ( gresie ceramica ) :

l * δ * n = 1100 * 0.01 *1.1 = 12.10 daN/m2

mortar de ciment M 200 :

l * δ * n = 1900 * 0.02 *1.3 = 49.40 daN/m2

strat de egalizare din mortar de ciment :

l * δ * n = 1900 * 0.02 *1.3 = 49.40 daN/m2

gpr = 110.90 daN/m2

o      pardoseala calda :

parchet lamba si uluc

l * δ * n = 480 * 0.022 *1.1 = 11.616 daN/m2

strat de egalizare din mortar de ciment :

l * δ * n = 1900 * 0.028 *1.3 = 69.16 daN/m2

gpc = 80.776 daN/m2

  1. pardoseala rece : gpr = 110.90 daN/m2
  2. pardoseala calda : gpc = 80.776 daN/m2

-incarcare incaperi cu pardoseala rece : GR = 715.45 daN/m2

-incarcare incaperi cu pardoseala calda : GC = 685.33 daN/m2

z1 = 0.9 * h01 = 0.9 * ( h -a - f1 / 2 ) = 0.9 * ( 13.00 - 1.5 - 0.8 / 2 ) =

z1 = 9.99 cm

z2 = 0.9 * h01 = 0.9 *( h -a - f1 - f1 / 2 ) = 0.9 *( 13.00 - 1.5 - 0.8 - 0.8 / 2 )

z2 = 9.27 cm

Pardoseala calda :

tip element

( valoare incarcare )

daN/m2

dimensiune

[ m ]

valoare normata daN/m2

COEFICIENT

DE SIGURANTA

n

valoare de

calcul

daN/m2

greutate prop.

placa  ( 2500 )

tencuiala 1900 )

inc. utila  ( 150 )

parchet lamba si uluc

strat egalizare (   1900 )

PARDOSEALA CALDA

Pardoseala rece :

tip element

( valoare incarcare )

daN/m2

dimensiune

[ m ]

valoare normata daN/m2

COEFICIENT

DE SIGURANTA

n

valoare de

calcul

daN/m2

greutate prop.

placa  ( 2500 )

tencuiala 1900 )

inc. utila  ( 150 )

gresie ceramica (1100 )

strat mortar ( 1900 )

strat mortar - egalizare (1900 )

PARDOSEALA RECA

Placa 1 : Dormitor 3.90 x 3.60

Pardoseala calda :

tip element

( valoare incarcare )

daN/m2

dimensiune

[ m ]

valoare normata daN/m2

COEFICIENT

DE SIGURANTA

n

valoare de

calcul

daN/m2

greutate prop.

placa  ( 2500 )

tencuiala 1900 )

inc. utila  ( 150 )

parchet lamba si uluc

strat egalizare ( 1900 )

PARDOSEALA CALDA

Momente maxime :

1 / 12 * ( g + p )* (3 * lmax - lmin ) * l2min = 2 ( M1 + M2 ) + M1' + M2'

l = lmax / lmin

l = 3.90 / 3.60 = 1.08

l=1.0.....0.9

l=1.08 ......X

l=1.1......1.1

X = 0.16

=> M1/M2= 1.06 => M1=1.06 M2

l2 / l'2 = 3.90 / 2.10 = 1.85 > 1.17 => M2/M2' = 0.8 => M2'= M2/ 0.8

l1 / l'1 = 4.80 / 3.60 = 1.33 > 1.30 => M1/M1'= 0.8 => M1'= M1/ 0.8

1 / 12( 685.33 + 0 )(3*3.90 -360 ) 3.602 = 2( 1.06M2+ M2 ) + M2/0.8+ M2/0.8

5995.27 = 6.62 * M2

M2=905.63 daNm

M'2=905.63 / 0.8=1132.1 daNm

M1=905.63 * 1.06 = 959.97 daNm

M'1=959.97 / 0.8 = 1200 daNm

CALCULUL ARMATURILOR :

Aa1 = = = 4.58 cm2

Aa1 = 4.58 / 3.90 = 1.17 cm2/m

A a2 = = = 4.65 cm2

Aa2 = 4.65 / 3.60 = 1.30 cm2/m

A'a1 = = = 5.72 cm2

A'a1 = 5.72 / 3.90 = 1.46 cm2/m

A'a2 = = = 5.82 cm2

A'a2 = 5.82 / 3.60 =1.61 cm2/m

Momentul

ho(cm)

Ra(daN/cm2)

Aa(cm2)

Aa1 cm2/m

Min5f6/m

M1=959.97

9.99

2100

4.58

1.17

2.32f8

5f8

M2=905.63

9.27

2100

4.65

1.30

2.59f8

5f8

M1'=1200

9.99

2100

5.72

1.46

2.9f8

5f8

M2'=1123.1

9.27

2100

5.82

1.61

3.20f8

5f8

Placa 2 : Spatiu servit masa 4.80 x 3.90

Pardoseala calda :

tip element

( valoare incarcare )

daN/m2

dimensiune

[ m ]

valoare normata daN/m2

COEFICIENT

DE SIGURANTA

n

valoare de

calcul

daN/m2

greutate prop.

placa  ( 2500 )


tencuiala 1900 )

inc. utila  ( 150 )

parchet lamba si uluc

strat egalizare ( 1900 )

PARDOSEALA CALDA

Momente maxime :

1 / 12 * ( g + p )* (3 * lmax - lmin ) * l2min = 2 ( M1 + M2 ) + M1' + M2'

l = 4.80 / 3.90 = 1.23

l=1.2.....1.4

l=1.23 ......X

l=1.3......1.9

X = 0.15

=> M1/M2= 1.55 => M1=1.55 M2

l2 / l'2 = 4.80 / 3.60= 1.33 < 1.44=> M2/M2'= 0.725 =>M2'= M2 /0.725

l1 / l'1 = 3.90 / 2.10 = 1.85 > 1.17 => M1/M1' = 0.8 => M1'= M1/ 0.8

1 / 12( 685.33 + 0 )(3*4.80 -3.90 ) 3.902 = 2( 1.55M2+ M2 ) + 1.55 * M2 /0.8

+ M2/0.725

9121 = 8.42* M2

M2=1083.25 daNm

M1=1083.25 * 1.55 = 1679.04 daNm

M'2=1083.25 / 0.725 =1494.14 daNm

M'1=1679.04 /0.8 = 2098.8 daNm

CALCULUL ARMATURILOR :

Aa1 = = = 8.01 cm2

Aa1 = 8.01 / 4.80 = 1.67 cm2/m

A a2 = = = 5.56 cm2

Aa2 = 5.56 / 3.90 = 1.43 cm2/m

A'a1 = = = 10.00 cm2

A'a1 = 10.00 / 4.80 = 2.08 cm2/m

A'a2 = = = 7.68 cm2

A'a2 = 7.68 / 3.90 =1.97 cm2/m

Momentul

ho(cm)

Ra(daN/cm2)

Aa(cm2)

Aa1 cm2/m

Min5f6/m

M1=1679.04

9.99

2100

8.01

1.67

3.32 f8

5f8

M2=1083.25

9.27

2100

5.56

1.43

2.85f8

5f8

M1'=2098.8

9.99

2100

10.00

2.08

4.14f8

5f8

M2'=1494.14

9.27

2100

7.68

1.97

3.92f8

5f8

Placa 3 Birou 3.00 x 3.60

Pardoseala calda :

tip element

( valoare incarcare )

daN/m2

dimensiune

[ m ]

valoare normata daN/m2

COEFICIENT

DE SIGURANTA

n

valoare de

calcul

daN/m2

greutate prop.

placa  ( 2500 )

tencuiala 1900 )

inc. utila  ( 150 )

parchet lamba si uluc

strat egalizare ( 1900 )

PARDOSEALA CALDA

Momente maxime :

1 / 12 * ( g + p )* (3 * lmax - lmin ) * l2min = 2 ( M1 + M2 ) + M1' + M2'

l = 3.60 / 3.00 = 1.20 => M1/M2= 1.40 => M1=1.40 M2

l2 / l'2 = 3.60 / 2.10 = 1. 71 > 1.08 => M2/M2'= 0.8 => M2'= M2 / 0.8

l1 / l'1 = 3.00 / 2.10 = 1.43 > 0.9 => M1/M1'= 0.8 => M1'= M1 / 0.8

1 / 12 ( 685.33 + 0 )(3 * 3.60 - 3.00 ) 3.002 = 2 ( 1.40 M2+ M2 ) +

1.40 M2 / 0.8 + M2 / 0.8

4009.2 = 7.80 * M2

M2=514 daNm

M'2=514 / 0.8=642.5 daNm

M1=514 * 1.40 = 719.60 daNm

M1'=642.5 * 2 = 1285 daNm

CALCULUL ARMATURILOR :

Aa1 = = = 3.43 cm2

Aa1 = 3.43/ 3.60 = 0.95 cm2/m

A a2 = = = 2.64 cm2

Aa2 = 2.64 / 3.00 = 0.88 cm2/m

A'a1 = = = 6.13 cm2

Aa1' = 6.13 / 3.60 = 1.70 cm2/m

A' a2 = = = 3.3 cm2

Aa2' = 3.3 / 3.00 =1.10 cm2/m

Momentul

ho(cm)

Ra(daN/cm2)

Aa(cm2)

Aa1 cm2/m

Min5f6/m

M1=719.60

9.99

2100

3.43

0.95

1.9f8

5f8

M2=514

9.27

2100

2.64

0.88

1.75f8

5f8

M1'=1285

9.99

2100

6.13

1.70

3.38f8

5f8

M2'=642.5

9.27

2100

3.30

1.10

2.20f8

5f8

Placa 4 Baie 3.00 x 2.10

Pardoseala rece :

tip element

( valoare incarcare )

daN/m2

dimensiune

[ m ]

valoare normata daN/m2

COEFICIENT

DE SIGURANTA

n

valoare de

calcul

daN/m2

greutate prop.

placa  ( 2500 )

tencuiala 1900 )

inc. utila  ( 150 )

gresie ceramica (1100 )

strat mortar ( 1900 )

strat mortar - egalizare (1900 )

PARDOSEALA RECA

Momente maxime :

1/12 ( g + p ) ( 3 lmax-lmin) l2min = 2 (M1+M2) + M1'+ M2'+ M1"

l = 3.00 / 2.10 = 1.43

l=1.4.....2.3

l=1.43 ......X

l=1.5......3.1

X = 0.24

=> M1/M2= 2.54 => M2 = M1/ 2.54

M1 = M2* 2.54

l2 / l'2 = 3.00 / 2.10 = 1.43 > 0.9 => M2/M2'= 0.8 => M2'= M2 / 0.8

l1 / l'1 = 3.80 / 2.10 = 1.81 > 1.14 => M1/M1'= 0.8 => M1'= M1/ 0.8

= 3.60 / 2.10 = 1.71 > 1.08 => M1/M1''= 0.8 => M1''= M1/ 0.8

1 / 12 ( 715.45 + 0 )(3 * 3.00 - 2.10 ) 2.102 = 2 ( M1+ M1/2.54 ) +

M1/ 0.8 + 0.8* M1/2.54 + M1/0.8

1814.2 = 4.4 * M1

M1 = 412.3 daNm

M2 = 412.3 / 2.54 = 162.33 daNm

M'2 = 162.33 /0.8 = 202.3 daNm

M 1' = 412.3 / 0.8 = 515.38 daNm

M1'' = 412.3 / 0.8 = 515.38 daNm

CALCULUL ARMATURILOR :

Aa1 = = = 1.97 cm2

Aa1 = 1.97/ 3.00 = 0.65 cm2/m

A a2 = = = 0.83 cm2

Aa2 = 0.83 / 2.10 = 0.40 cm2/m

A'a1 = = = 2.46 cm2

Aa1' = 1.77 / 3.00 = 0.82 cm2/m

A' a2 = = = 1.10 cm2

Aa2' = 1.10 / 2.10 =0.53 cm2/m

A'' a1 = = = 2.46 cm2

Aa1''= 2.46 / 3.00 =0.82 cm2/m

Momentul

ho(cm)

Ra(daN/cm2)

Aa(cm2)

Aa1 cm2/m

Min5f6/m

M1=412.3

9.99

2100

1.97

0.65

1.3f8

5f8

M2=162.33

9.27

2100

0.83

0.40

1.f8

5f8

M1'=515.38

9.99

2100

2.46

0.82

1.63f8

5f8

M2'=202.3

9.27

2100

1.10

0.53

1f8

5f8

M1''=515.38

9.99

2100

2.46

0.82

1.63f8

5f8

Placa 5 Bucatarie 3.80 x 3.00

Pardoseala rece :

tip element

( valoare incarcare )

daN/m2

dimensiune

[ m ]

valoare normata daN/m2

COEFICIENT

DE SIGURANTA

n

valoare de

calcul

daN/m2

greutate prop.

placa  ( 2500 )

tencuiala 1900 )

inc. utila  ( 150 )

gresie ceramica (1100 )

strat mortar ( 1900 )

strat mortar - egalizare (1900 )

PARDOSEALA RECA

Momente maxime :

1/12(g+p)(3lmax-lmin)l2min=2(M1+M2)+M1'+M2'+M2"

l = 3.80 / 3.00 = 1.27

l=1.2.....1.4

l=1.27 ......X

l=1.3......1.9

X = 0.35

=> M1/M2= 1.75 => M1 = 1.75 * M2

l2 / l'2 = 3.80 / 2.10 = 1.81 > 1.14 => M1/M1'= 0.8 => M1'= M1/ 0.8

= 3.80 / 1.60 = 2.4 > 1.14 => M2/M2''= 0.8 => M2''= M2/ 0.8

l1 / l'1 = 3.00 / 2.10 = 1.43 > 0.9 => M2/M2'= 0.8 => M2'= M2 / 0.8

1 / 12 ( 715.45 + 0 )(3 * 3.80 - 3.00 ) 3.002 = 2 ( 1.75*M2+ M2) +

1.75* M2 /0.8+ M2 / 0.8 + M2 / 0.8

4507.35 = 10.2 * M2

M2 = 441.9 daNm

M1 = 1.75* 441.9 = 773.32 daNm

M'2 = 441.9/ 0.8 = 552.4 daNm

M 1' = 773.32/ 0.8 = 966.65 daNm

M2'' = 441.9/ 0.8 = 552.4 daNm

CALCULUL ARMATURILOR :

Aa1 = = = 3.67 cm2

Aa1 = 3.672/ 3.80 = 0.97 cm2/m

A a2 = = = 2.27 cm2

Aa2 = 2.27 / 3.00 = 0.76 cm2/m

A'a1 = = = 4.61 cm2

Aa1' = 6.54 / 3.80 = 1.21 cm2/m

A' a2 = = = 4.75 cm2

Aa2' = 4.75 / 3.00 =1.58 cm2/m

A'' a2 = = = 4.75 cm2

Aa2''= 4.75 / 3.00 =1.85 cm2/m

Momentul

ho(cm)

Ra(daN/cm2)

Aa(cm2)

Aa1 cm2/m

Min5f6/m

M1=773.32

9.99

2100

3.67

0.97

1.93f8

5f8

M2=441.9

9.27

2100

2.27

0.76

1.51f8

5f8

M1'=966.65

9.99

2100

4.61

1.21

2.41f8

5f8

M2'=552.4

9.27

2100

4.75

1.85

3.68f8

5f8

M2''=552.4

9.27

2100

4.75

1.85

3.68f8

5f8

Placa 6 : Debara + Camara 3.00 x 1.60

gmed = = 699.5 daN/m2

p = 1850 * 2.8 * 0.125 * 1.35 = 874.13 daN =>

p = 245 daN/m2

Momente maxime :

1 / 12 * ( g + p )* (3 * lmax - lmin ) * l2min = 2 ( M1 + M2 ) + M1' + M2'

l = 3.00 / 1.60 = 1.88

l=1.8.....4.9

l=1.88 ......X

l=1.9......5.5

X = 0.48

=> M1/M2= 5.38 => M1=5.38 M2

l2 / l'2 = 3.00 / 2.10 = 1.43 > 0.9 => M2/M2'= 0.8 => M2'= M2 / 0.8

l1 / l'1 = 3.80 / 1.60=2.37 > 1.14 => M1/M1'= 0.8 => M1'= M1 / 0.8

1 / 12( 699.5 + 245 )(3*3.00 -1.60 ) 1.602 = 2( 5.38M2+ M2 ) + 5.38 M2/0.8

+ 2 * M2 / 0.8

1491.1 = 21.48* M2

M2=70 daNm

M1=965.19 * 1.55 = 1496.04 daNm

M'2=965.19 /0.8 =1206.49 daNm

M'1=1496.04 * 2 = 2992.1 daNm

CALCULUL ARMATURILOR :

Aa1 = = = 7.13 cm2

Aa1 = 7.13 / 4.80 = 1.49 cm2/m

A a2 = = = 4.96 cm2

Aa2 = 3.95 / 3.90 = 1.01 cm2/m

A'a1 = = = 14.26 cm2

A'a1 = 4.85 / 4.80 = 1.01 cm2/m

A'a2 = = = 6.20 cm2

A'a2 = 7.90 / 3.90 =2.03 cm2/m

Momentul

ho(cm)

Ra(daN/cm2)

Aa(cm2)

Aa1 cm2/m

Min5f6/m

M1=1496.05

9.99

2100

7.13

1.49

3.0 f8

5f8

M2=965.19

9.27

2100

4.96

1.01

2.01f8

5f8

M1'=2992.1

9.99

2100

14.26

1.01

2.01f8

5f8

M2'=1206.49

9.27

2100

6.20

2.03

4.04f8

5f8

Placa 7: Hol 2.10 x 11.10

Pardoseala calda :

tip element

( valoare incarcare )

daN/m2

dimensiune

[ m ]

valoare normata daN/m2

COEFICIENT

DE SIGURANTA

n

valoare de

calcul

daN/m2

greutate prop.

placa  ( 2500 )

tencuiala 1900 )

inc. utila  ( 150 )

parchet lamba si uluc

strat egalizare ( 1900 )

PARDOSEALA CALDA

lmax/lmin = 11.10 / 2.10 = 5.29 => armare pe o singura directie

Schema de calcul :

M1 = = = 947.6 daNm

MB = = = 744.56 daNm

MC = = = 560.72 daNm

M2 = - =

= - = 469.71 daNm

z1 = 0.9 * h01 = 0.9 * ( h -a - f1 / 2 ) = 0.9 * ( 13.00 - 1.5 - 0.8 / 2 ) =

z1 = 9.99 cm

z2 = 0.9 * h01 = 0.9 *( h -a - f1 - f1 / 2 ) = 0.9 *( 13.00 - 1.5 - 0.8 - 0.8 / 2 )

z2 = 9.27 cm

CALCULUL ARMATURILOR :

Aa1 = = = 2.37 cm2

Aa1 = 2.37 / 2.10 = 1.13 cm2/m

A'a1 = = = 3.82 cm2

A'a1 = 3.82 / 2.10 = 1.82 cm2/m

Momentul

ho(cm)

Ra(daN/cm2)

Aa(cm2)

Aa1 cm2/m

Min5f6/m

M1=469.71

9.99

2100

2.37

1.13

3.0 f8

5f8

MB=744.56

9.27

2100

3.82

1.82

2.01f8

5f8

Extras de armatura pentru placa peste subsol :

MARCA

DIAMETRU

lungimi de bare

nr. bucati

lungimi pe diametru

8

10

1

8

6.00

15

90.00

-

2

10

0.95

56

-

50.40

3

10

1.15

45

-

51.75

4

8

5.70

15

85.50

-

5

10

2.15

15

-

32.25

6

10

0.80

15

-

12.00

7

8

5.40

56

302.4

-

8

8

4.15

20

83

-

9

8

5.35

20

107

-

10

8

4.20

42

176.40

-

11

10

2.20

42

-

92.5

12

10

2.65

20

-

53.00

13

10

1.45

20

-

29.00

TOTAL LUNGIMI PE DIAMETRU

845

321

GREUTATI  PE ml ( kg )

0.395

0.617

GREUTATI PE diametru ( kg )

335

200

GREUTATE ARMATURA DE REZISTENTA ( kg )

535

GREUTATE ARMATURA REPARTITIE ( 10% AR)

53

GREUTATE TOTALA :





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