CALCULUL ARMATURII PLANSEULUI PESTE PARTER
Evaluarea incarcarilor :
evaluarea incarcarilor la nivelul pardoseli:
o pardoseala rece :
placi pardoseala ( gresie ceramica ) :
l * δ * n = 11 * 0.01 *1.35 = 0.148 kN/m2
mortar de ciment M 200 :
l * δ * n = 19 * 0.02 *1.35 = 0.513 kN/m2
strat de egalizare din mortar de ciment :
l * δ * n = 19 * 0.03 *1.35 = 0.769 kN/m2
gpr = 1.43 kN/m2
o pardoseala calda :
parchet laminat
l * δ * n = 4.8 * 0.01 *1.35 = 0.0648 kN/m2
strat de egalizare din mortar de ciment :
l * δ * n = 19 * 0.05 *1.35 = 1.282 kN/m2
gpc = 1.347 kN/m2
Pardoseala calda :
tip element ( valoare incarcare ) daN/m2 |
dimensiune [ m ] |
valoare normata kN/m2 |
COEFICIENT DE SIGURANTA n |
valoare de calcul kN/m2 |
greutate prop. placa ( 25 ) | ||||
tencuiala 19 ) | ||||
inc. utila ( 1.5 ) | ||||
parchet laminat | ||||
strat egalizare ( 19 ) | ||||
PARDOSEALA CALDA |
Pardoseala rece :
tip element ( valoare incarcare ) daN/m2 |
dimensiune [ m ] |
valoare normata kN/m2 |
COEFICIENT DE SIGURANTA n |
valoare de calcul kN/m2 |
greutate prop. placa ( 2500 ) | ||||
tencuiala 1900 ) | ||||
inc. utila ( 150 ) | ||||
gresie ceramica (1100 ) | ||||
strat mortar ( 1900 ) | ||||
strat mortar - egalizare (1900 ) | ||||
PARDOSEALA RECA |
Pardoseala rece :
tip element ( valoare incarcare ) kN/m2 |
dimensiune [ m ] |
valoare normata kN/m2 |
COEFICIENT DE SIGURANTA n |
valoare de calcul kN/m2 |
greutate prop. placa ( 25 ) | ||||
tencuiala 19 ) | ||||
inc. utila ( 1.50 ) | ||||
Gresie ceramica | ||||
strat egalizare ( 19 ) | ||||
PARDOSEALA CALDA |
Momente maxime :
1 / 12 * ( g + p )* (3 * lmax - lmin ) * l2min = 2 ( M1 + M2 ) + M1' + M2'
l
l
l=1.37 ......X
l
X = 0.23
=> M1/M2= 1.93 => M1=1.93 M2
l2 / l'2 = 6.20 / 3.30 = 1.87 => M2/M2' = 0.8 => M2'= M2/ 0.8
l1 / l'1 = 4.50 / 4.50 = 1.0 => M1/M1'= 0.8 => M1'= M1/ 0.5
1 / 12( 8.537+ 0 )(3*6.2 -4.50 ) 4.502 = 2( 1.93M2+ M2 ) + M2/0.8+ M2/0.8
203.127 = 8.36 * M2
M2=24.29 kNm
M'2=24.29 / 0.8=30.37 kNm
M1=24.29 * 1.93 = 46.87 kNm
M'1=46.87 / 0.5 = 93.75 kNm
z1 = 0.9 * h01 = 0.9 * ( h -a - f1 / 2 ) = 0.9 * ( 18.00 - 1.5 - 0.8 / 2 ) =
z1 = 14.49 cm
z2 = 0.9 * h02 = 0.9 *( h -a - f1 - f1 / 2 ) = 0.9 *( 18.00 - 1.5 - 0.8 - 0.8 / 2 )
z2 = 13.77 cm
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 |
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 |
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 |
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 |
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)(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 (685.33+ 0 )(3 * 3.80 - 3.00 ) 3.002 = 2 ( 1.75*M2+ M2) +
1.75* M2 /0.8+ M2 / 0.8 + M2 / 0.8
4317.58= 10.2 * M2
M2 = 423.29 daNm
M1 = 1.75* 423.29 = 740.9daNm
M'2 = 423.29/ 0.8 = 529.11daNm
M 1' = 740.9/ 0.8 = 926.13daNm
M2'' = 423.29/ 0.8 = 529.11daNm
CALCULUL ARMATURILOR :
Aa1 = = = 3.53 cm2
Aa1 = 3.53/ 3.80 = 0.93 cm2/m
A a2 = = = 2.17 cm2
Aa2 = 2.17 / 3.00 = 0.72 cm2/m
A'a1 = = = 4.41 cm2
Aa1' = 4.41 / 3.80 = 1.16 cm2/m
A' a2 = = = 2.72 cm2
Aa2' = 2.72 / 3.00 =0.91 cm2/m
A'' a2 = = = 2.71 cm2
Aa2''= 2.71 / 3.00 =0.91 cm2/m
Momentul |
ho(cm) |
Ra(daN/cm2) |
Aa(cm2) |
Aa1 cm2/m |
Min5f6/m | |
M1=740.9 |
9.99 |
2100 |
3.53 |
0.93 |
1.85f8 |
5f8 |
M2=423.29 |
9.27 |
2100 |
2.17 |
0.72 |
1.43f8 |
5f8 |
M1'=926.13 |
9.99 |
2100 |
4.41 |
1.16 |
2.31f8 |
5f8 |
M2'=529.11 |
9.27 |
2100 |
2.71 |
0.91 |
1.81f8 |
5f8 |
M2''=529.11 |
9.27 |
2100 |
2.71 |
0.91 |
1.81f8 |
5f8 |
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 |
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 / 3.00= 1=> M2/M2'= 0.5 => M2'=2* M2
l1 / l'1 = 3.80 / 1.60=2.37 > 1.33 => M1/M1'= 0.8 => M1'= M1 / 0.8
1 / 12( 685.33 + 245 )(3*3.00 -1.60 ) 1.602 = 2( 5.38M2+ M2 ) + 5.38 M2/0.8
+ 2 * M2
1491.1 = 21.48* M2
M2=965.19 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 |
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 |
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'
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
1 / 12 (925.45+ 0 )(3 * 3.00 - 2.10 ) 2.102 = 2 ( M1+ M1/2.54 ) + M1/ 0.8
2346.70 = 2.04* M1
M1 = 1150.35 daNm
M2 = 1150.35 / 2.54 = 469.53 daNm
M 1' = 1150.35 / 0.8 = 1438.94 daNm
CALCULUL ARMATURILOR :
Aa1 = = = 5.48 cm2
Aa1 = 5.48/ 3.00 = 1.83 cm2/m
A a2 = = = 2.41 cm2
Aa2 = 2.41 / 2.10 = 1.41 cm2/m
A'a1 = = = 6.85 cm2
Aa1' = 6.85 / 3.00 = 2.28cm2/m
Momentul |
ho(cm) |
Ra(daN/cm2) |
Aa(cm2) |
Aa1 cm2/m |
Min5f6/m | |
M1=412.3 |
9.99 |
2100 |
5.48 |
1.83 |
3.6f8 |
5f8 |
M2=162.33 |
9.27 |
2100 |
2.41 |
1.41 |
2.81f8 |
5f8 |
M1'=515.38 |
9.99 |
2100 |
6.85 |
2.28 |
4.54f8 |
5f8 |
Extras de armatura pentru placa peste subsol :
MARCA |
DIAMETRU |
lungimi de bare |
nr. bucati |
lungimi pe diametru |
|
Ø8 |
Ø10 |
||||
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 |
23 |
- |
18.40 |
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 |
14 |
8 |
2.40 |
17 |
40.80 |
- |
15 |
10 |
1.30 |
17 |
- |
22.10 |
16 |
8 |
3.85 |
12 |
42.6 |
- |
TOTAL LUNGIMI PE DIAMETRU |
950 |
350 |
|||
GREUTATI PE ml ( kg ) |
0.395 |
0.617 |
|||
|
380 |
220 |
|||
GREUTATE ARMATURA DE REZISTENTA ( kg ) |
600 |
||||
GREUTATE ARMATURA REPARTITIE ( 10% AR) |
60 |
||||
GREUTATE TOTALA : |
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