Constructii Civile - Calcule-1

Calculul termoizolatiei - pentru perete ( p) si planseu (pl) 1. Din conditia de evitare a riscului de condens pe suprafetele elementului Te Ti α τ R1=

-21 20 8 14.4

Temperatura exterioara (corespunzatoare zonei cli Temperatura mediului interior coeficient de conductivitate termica temperatura punctului de roua pentru o umiditate

0.915179

R1=(Ti-Te)/α*(Ti-τ)

2. Din conditia asigurarii confortului termic minim Perete Planseu

Δtimaxp Δtimaxpl

4 3

Calculul indicelui de asimilare termica

Initial gro grosime termoizolatie o c

Pentru perete Nr.crt. 1 2 3 4

Tip strat Tencuiala interioara Beton armat Termoizolatie Tencuiala exterioara

Grosime strat [m] Conductivitate 0.02 0.93 0.12 2.03 0.1 0.044 0.002 0.87 Rp

Valoare indice inertie termica perete Dp= 1.978491

Dp =Σ =Σ di*si/λi di*si/λi

mpmax=1,225-0,05*Dp

mpmax

Rez.termica Coef.asim.term 0.02150538 1 0 .0 8 0.0591133 1 7 .9 2.27272727 0.3 0.00229885 9 .4 7 2.3556448 unde di grosimi st

1.12607547

Ronec = m*(Ti-Te)/αΔtimax m*(Ti-Te)/αΔtimax R0cn R0cnec ecma max= x= 1.44 1.4427 2784 84 Adoptam valoarea maxima R2p =

1.442784198

Pentru planseu Nr.crt. 1 2 3 4 5 6 7 8

Tip strat Grosime strat [m] Conductivitate Membrana hidroizolanta 0.01 0.17 Sapa suport 0.02 1.62 Termoizolatie 0.1 0.042 Bariera de vapori 0.001 0.38 Strat de difuzie 0.001 0.043 Sapa suport 0.02 1.62 Planseu beton armat 0.15 2.03 Tencuiala 0.02 0.87

Rez.termica Coef.asim.term 0.05882353 3 .2 8 0.01234568 1 5 .3 6 2.38095238 0 .3 7 0.00263158 8 .4 9 0.02325581 0 .3 1 0.01234568 1 5 .3 6 0.07389163 1 7 .9 0.02298851 9 .4 7

Rpl=

2.58723479

Valoare indice inertie termica planseu Dpl= 3.023065 mplmax = 1.225Dp-0,05*Dpl mplmax= 1.073847

R0cnecmax=

1.834488

Adoptam valoarea maxima R2pl =

1.834488158

Conditia de economie de energie (valori normate pentru zona climatica IV) R3p = R3pl=

1.5 3.5

Rp = max(R1, R2, R3) Rpl=(maxRpl1,Rpl2,Rpl3) Rp= 1.5 Rpl= 3.5 Stabilirea grosimii termoizolatiei Pentru perete Ri= Re=

0.125 0.042

dizp=(Rp-Ri-Re-Σdi/λi)*λizp dizp=

0.055004

Adoptam diz

6 cm

Adoptam dizpl

13cm

Pentru planseu Ripl= Repl=

0.125 0.042

dizp=(Rpl-Ripl-Repl-Σdi/λi)*λizpl dizpl=

0.131322

matice IV - Brasov)

relativa de 70%

nsideram 0,1 m

Indice inert.term. 0.216774 1.058128 0.681818 0.02177

tencuiala ciment beton armat poliestiren celular tencuiala ciment si var

raturi; si = coeficienti asimilare termica iar λ = conductivitati

Indice inert.term. 0.192941 0.18963 0.880952 0.022342 0.007209 0.18963 1.32266 0.217701

panza bituminata beton vata minerala tip 60 PVC Pasla minerala beton beton armat tencuiala ciment si var

1.Condens pe suprafata PENTRU PERETE

Tminsi>τ Te Ti αi αe τ

-21 20 8 24 14.4

Nr.crt.

Temperatura exterioara (corespunzatoare zonei climatice I Temperatura mediului interior coeficient de conductivitate termica pentru fata int. coeficient de conductivitate termica pentru fata ext. temperatura punctului de roua pentru o umiditate relativa

Tip strat 4 3 2 1

Tencuiala exterioara Termoizolatie Beton armat Tencuiala interioara

Gros.strat ConductivitRez.termica Temp. supr.sep. [m] R °C l 0.02 0.93 0.021505376 -21 0.06 0.044 1.363636364 -19.39448255 0.12 2.03 0.0591133 15.26233524 0.002 0.87 0.002298851 16.76469975 Rp= 1.446553891 20

R0p=(1/αi)+Rp+(1/αe) R0p= Ri = 1/αi Ri=

1.613221 0.125

Tsimin=Ti-Ri*(Ti-Te)/R0

Daca

Tsimin= Tsimin>τ

16.82313 nu apare condens pe suprafata

2.

Calculul temperaturilor la suprafetele de separatie ale elementelor T1=Ti-(Te-Ti)*(Ri+R1)/R0 T1= 16.7647 T2=Ti-(Te-Ti)*(Ri+R1+R2)/R0 T2= 15.26234 T3=Ti-(Te-Ti)*(Ri+R1+R2+R3)/R0 T3= -19.3945 Calculul rezistentei la permeabilitate la vapori Rvi = di*µi*Mi M = 54 * 100000000

di=grosime strat [1/s]

µ = coeficient de permeabilitate la vapori

PENTRU PLANSEU

Nr.crt.

Tip strat Grosime str ConductivitRez.termica Temp. supr.sep. 8 Membrana hidroizolan 0.01 0.17 0.058823529 -21 7 Sapa suport 0.02 1.62 0.012345679 -19.81203123

6 5 4 3 2 1

Termoizolatie Bariera de vapori Strat de difuzie Sapa suport Planseu beton armat Tencuiala

0.13 0.001 0.001 0.02 0.15 0.02

0.042 0.38 0.043 1.62 2.03 0.87 Rpl=

3.095238095 0.002631579 0.023255814 0.012345679 0.073891626 0.022988506 3.301520507

R0p=(1/αi)+Rpl+(1/αe) R0p=

3.468187 Ri=

0.125

Tsimin=Ti-Ri*(Ti-Te)/R0

Daca 2.

Tsimin= Tsimin>τ

18.52228 nu apare condens pe suprafata

Calculul temperaturilor la suprafetele de separatie ale elementelor T1=Ti-(Te-Ti)*(Ri+R1)/R0pl T1= 18.25052 T2=Ti-(Te-Ti)*(Ri+R1+R2)/R0pl T2= 17.37699 T3=Ti-(Te-Ti)*(Ri+R1+R2+R3)/R0pl T3= 17.23104 T4=Ti-(Te-Ti)*(Ri+R1+R2+R3+R4)/R0pl T4= 16.95612 T5=Ti-(Te-Ti)*(Ri+R1+R2+R3+R4+R5)/R0pl T5= 16.92501 T6=Ti-(Te-Ti)*(Ri+R1+R2+R3+R4+R5+R6)/R0pl T6= -19.6661 T7=Ti-(Te-Ti)*(Ri+R1+R2+R3+R4+R5+R6+R7)/R0pl T7= -19.812

-19.66608385 16.92500987 16.9561197 17.23104384 17.37699123 18.25051866

V - Brasov)

de 70% Temp.medii °C

-20.19724127 -2.066073655 16.01351749 18.38234988

P.sat Pa 102 517 1818 2119

F.rez.p.vap 7.1 1.1 24.3 8.5 Rv total=

Rez.perm.vap. Rv * 100000000 7.668 3.564 157.464 0.918 169.614

Temp.medii Pres.sat F.rez.vap. Rez.perm.vap. -20.40601562 99 -19.73905754 106 21.3 23.004

-1.370536991 16.94056479 17.09358177 17.30401753 17.81375494 19.12525933

547 1937 1950 1976 2039 2241

1.1 425 1.1 21.3 24.3 7.1

7.722 22.95 0.0594 23.004 196.83 7.668

INCARCARI PERMANENTE

INCARCARI PERMANENTE UNITARE PENTRU PERETI

Nr.crt

Denumire strat

Grosime [m]

Greutate tehnica [daN/m³]

Incarcare caract. [daN/m ²]

Coeficient de siguranta

PERETE EXTERIOR PORTANT

1. 2. 3. 4.

Tencuiala ext. Termoizolatie PE Strat portant B.A Tencuiala int.

0.002 0.06 0.12 0.02

1800 20 2500 1700

3.6 1.2 300 34

1.3 1.3 1.3 1.3 Total

PERETE INTERIOR PORTANT

1. 2. 3

Tencuiala Strat portant B.A Tencuiala

0.01 0.12 0.01

1700 2500 1700

17 300 17

1.3 1.3 1.3 Total

PERETE INTERIOR NEPORTANT

1. 2. 3.

Tencuiala Strat BCA Tencuiala

0.01 0.075 0.01

1700 725 1700

17 54.375 17

1.3 1.3 1.3 Total

INCARCARI PERMANENTE UNITARE PENTRU PLANSEE

Nr.crt

Denumire strat

Grosime [m]

Greutate tehnica [daN/m³]

Incarcare caract. [daN/m ²]

Coeficient de siguranta

PLANSEU PARDOSEALA CALDA

1. 2. 3. 4. 5.

Parchet Panouri OSB Sapa (M100) Planseu B.A. Tencuiala (M100)

0.02 0.015 0.02 0.15 0.02

600 550 2100 2500 2100

12 8.25 42 375 42

1.3 1.3 1.3 1.3 1.3 Total

PLANSEU PARDOSEALA RECE

1. 2. 3. 4.

Mozaic Sapa Planseu B.A. Tencuiala

0.025 0.033 0.15 0.02

2800 2100 2500 1700

70 69.3 375 34

1.3 1.3 1.3 1.3 Total

PLANSEU TERASA

1. 2. 3. 4. 5. 6. 7.

Membr.hidroiz. Sapa suport Termoizolatie Bariera de vapori Strat de difuzie Sapa suport Planseu B.A.

0.01 0.02 0.13 0.001 0.001 0.02 0.15

600 2100 60 1800 1800 2100 2500

6 42 7.8 1.8 1.8 42 375

1.3 1.3 1.3 1.3 1.3 1.3 1.3

8

Tencuiala

0.02

1700

34

1.3 Total

INCARCARI PERMANENTE UNITARE PENTRU ATIC

Nr.crt. 1. 2. 3. 4. 5. 6. 7.

Denumire strat Tencuiala Strat B.A. Sapa suport Strat de difuzie Bariera de vapori Sapa suport Membr.hidroiz.

Grosime [m]

Greutate unitara [daN/m²]

Latimea stratului [m]

Coef.de sig.

0.01 0.12 0.02 0.001 0.001 0.02 0.01

1700 2500 2100 1800 1800 2100 600

17 300 42 1.8 1.8 42 6

1.3 1.3 1.3 1.3 1.3 1.3 1.3 Total

Inaltime etaj: He Inaltime atic:

2.9 1

[m] [m]

Tip tamplarie

Inaltime

Latime

Suprafata

Fereastra 1 Fereastra 2 Fereastra 3 Usa 1 Usa 2 Usa 3 Usa 4 (dubla)

1.2 1.2 1.2 2.1 2.1 1.9 1.9

1.2 1.5 1.8 1 0.8 0.7 1.4

1.44 1.8 2.16 2.1 1.68 1.33 2.66

INCARCARE DIN PERETI PORTANTI PE NIVEL

Nr.crt.

Tip perete

G plin [daN/m²]

G tamplarie [daN/m²]

Suprafata Plin

Tamplarie

E1 E2 E3 E4 E5 E6 E7 E8 E9 E10 E11 E12 E13

Exterior portant Exterior portant Exterior portant Exterior portant Exterior portant Exterior portant Exterior portant Exterior portant Exterior portant Exterior portant Exterior portant Exterior portant Exterior portant

440.44 440.44 440.44 440.44 440.44 440.44 440.44 440.44 440.44 440.44 440.44 440.44 440.44

10 10 10 10 10 10 10 10 10 10 10 10 10

7.26 15.6 5.52 9.15 5.16 9.15 10.02 4.35 12.78 13.86 9.51 6.9 10.38

1.44 1.8 1.44 2.16 3.54 2.16 2.16 0 2.88 1.8 1.8 1.8 1.8

I1 I2 I3 I4

Interior portant Interior portant Interior portant Interior portant

434.2 434.2 434.2 434.2

10 10 10 10

17.4 6.6 11.31 9.63

0 2.1 0 1.68

I5 I6 I7 I8 I9 I10 I11 I12 I13 I14 I15 I16

Interior portant Interior portant Interior portant Interior portant Interior portant Interior portant Interior portant Interior portant Interior portant Interior portant Interior portant Interior portant

434.2 434.2 434.2 434.2 434.2 434.2 434.2 434.2 434.2 434.2 434.2 434.2

10 10 10 10 10 10 10 10 10 10 10 10

7.83 7.18 10.08 8.7 9.21 9.28 5.8 8.34 3.625 13.56 15.3 10.5

0 2.1 2.1 0 2.1 0 0 2.1 0 2.1 2.1 1.68

Suprafata [m²]

Greutate [daN]

Nr.elem.id

INCARCARE DIN PLANSEU PE NIVEL

Nr.crt.

Tip planseu

G [daN/m²]

1PC 2PC 3PC 4PC 5PC 6PC

Pardoseala calda Pardoseala calda Pardoseala calda Pardoseala calda Pardoseala calda Pardoseala calda

623.025 623.025 623.025 623.025 623.025 623.025

18 11.7 7.5 12.87 9.9 16.2

11214.45 7289.3925 4672.6875 8018.33175 6167.9475 10093.005

2 2 1 1 1 1

1PR 2PR 3PR 4PR 5PR 6PR 7PR 8PR 9PR 10PR 11PR 12PR 13PR

Pardoseala rece Pardoseala rece Pardoseala rece Pardoseala rece Pardoseala rece Pardoseala rece Pardoseala rece Pardoseala rece Pardoseala rece Pardoseala rece Pardoseala rece Pardoseala rece Pardoseala rece

712.79 712.79 712.79 712.79 712.79 712.79 712.79 712.79 712.79 712.79 712.79 712.79 712.79

4.56 12 15.21 11.34 5.1 19.545 4.62 5.52 6.6 11.7 12.6 18 6.3

3250.3224 8553.48 10841.5359 8083.0386 3635.229 13931.48055 3293.0898 3934.6008 4704.414 8339.643 8981.154 12830.22 4490.577

1 1 1 1 1 1 1 1 1 1 1 1 1

Greutate tot.planseu nivel AC

Acoperis terasa

663.52

289.8

192288.096

1

Greutate totala acoperis terasa INCARCAREA PE ATIC

Perimetru atic:

Greutate totala atic

74.1 39553.098 Total incarcari permanente pe nivel: Total incarcari permanente cladire

INCARCARI VARIABILE

341511.718 573352.912

INCARCAREA DIN PERETI DESPARTITORI PE UN NIVEL

Nr.crt. D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 D13

Tip perete Per. despartitor Per. despartitor Per. despartitor Per. despartitor Per. despartitor Per. despartitor Per. despartitor Per. despartitor Per. despartitor Per. despartitor Per. despartitor Per. despartitor Per. despartitor

G plin [daN/m²]

G tamplarie [daN/m²]

Suprafata Plin

Tamplarie

114.8875 114.8875 114.8875 114.8875 114.8875 114.8875 114.8875 114.8875 114.8875 114.8875 114.8875 114.8875 114.8875

10 10 10 10 10 10 10 10 10 10 10 10 10

4.932 5.5825 2.875 8.352 4.7 6.73 4.35 2.585 4.3 3.6975 6.672 4.785 1.7875

1.68 0 1.33 0 1.68 1.68 0 1.33 2.66 0 1.68 0 1.33

INCARCAREA UTILA PE UN NIVEL

Nr. Crt

Tip planseu

Incarcare normata [daN/m²]

Coeficient de siguranta

Incarcarea utila de calcul [daN/m²]

Suprafata [m²]

1 2 3

Camere Scari Balcoane

200 300 250

1.5 1.5 1.5

300 450 375

239.1995 5.1 4.5 Greutatea util

Incarcarea totala aferenta unui nivel va fi:

Gk=greutatea peretilor portanti pe un nivel + greutatea peretilor autoportanti pe nivel + g Gk=

429120.75 [daN]

pentru nivelele 1-3

Pentru ultimul nivel: Gn = greutatea acoperisului + 1/2 (din greutatea peretilor portanti pe un nivel + greutatea Gn=

322182.83

Greutate totala Gtotala

1609545.1 [daN]

Incarcare de calcul [daN/m²] 4.68 1.56 390 44.2 440.44 22.1 390 22.1 434.2 22.1 70.6875 22.1 114.8875

Incarcare de calcul [daN/m²] 15.6 10.725 54.6 487.5 54.6 623.025 91 90.09 487.5 44.2 712.79 7.8 54.6 10.14 2.34 2.34 54.6 487.5

44.2 663.52

Incarcare de calcul [daN/m²] 22.1 390 54.6 2.34 2.34 54.6 7.8 533.78

74.1 39553.098

Plin

Greutate [daN] Tamplarie

Nr.elem.id

G.total [daN]

Total

3197.5944 6870.864 2431.2288 4030.026 2272.6704 4030.026 4413.2088 1915.914 5628.8232 6104.4984 4188.5844 3039.036 4571.7672

14.4 18 14.4 21.6 35.4 21.6 21.6 0 28.8 18 18 18 18

3211.994 6888.864 2445.629 4051.626 2308.07 4051.626 4434.809 1915.914 5657.623 6122.498 4206.584 3057.036 4589.767

3 1 1 1 3 2 1 1 1 1 1 1 1

9635.983 6888.864 2445.629 4051.626 6924.211 8103.252 4434.809 1915.914 5657.623 6122.498 4206.584 3057.036 4589.767

7555.08 2865.72 4910.802 4181.346

0 21 0 16.8

7555.08 2886.72 4910.802 4198.146

1 3 2 2

7555.08 8660.16 9821.604 8396.292

192

68033.7972

3399.786 3117.556 4376.736 3777.54 3998.982 4029.376 2518.36 3621.228 1573.975 5887.752 6643.26 4559.1

0 21 21 0 21 0 0 21 0 21 21 16.8

3399.786 3138.556 4397.736 3777.54 4019.982 4029.376 2518.36 3642.228 1573.975 5908.752 6664.26 4575.9

Greutate totala pereti

G.total [daN] 22428.9 14578.785 4672.6875 8018.33175 6167.9475 10093.005 3250.3224 8553.48 10841.5359 8083.0386 3635.229 13931.48055 3293.0898 3934.6008 4704.414 8339.643 8981.154 12830.22 4490.577 160828.4418 192288.096 192288.096

[daN] [daN]

341.511718 Tone 573.352912 Tone

2 1 2 5 2 1 1 2 1 1 1 1

6799.572 3138.556 8795.472 18887.7 8039.964 4029.376 2518.36 7284.456 1573.975 5908.752 6664.26 4575.9 180683.3

112649.479

Plin

Greutate [daN] Tamplarie

566.62515 641.3594688 330.3015625 959.5404 539.97125 773.192875 499.760625 296.9841875 494.01625 424.7965313 766.5294 549.7366875 205.3614063

16.8 0 13.3 0 16.8 16.8 0 13.3 26.6 0 16.8 0 13.3

Nr.elem.id

G.total [daN]

1 1 1 1 1 1 3 2 1 1 1 1 1

583.4252 641.3595 343.6016 959.5404 556.7713 789.9929 1499.282 620.5684 520.6163 424.7965 783.3294 549.7367 218.6614

Total 583.4252 641.3595 343.6016 959.5404 556.7713 789.9929 499.7606 310.2842 520.6163 424.7965 783.3294 549.7367 218.6614

Greutate totala pereti despartitori

Nr. Elementelor identice

Incarcare utila totala [daN]

1 1 3

71759.85 2295 5062.5

pe nivel

79117.35

reutatea planseelor pe nivel + greutatea utila pe un nivel

peretilor autoportanti pe un nivel)

8491.681