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7/30/2019 Constructii Civile - Calcule-1
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Calculul termoizolatiei - pentru perete ( p) si planseu (pl)
1. Din conditia de evitare a riscului de condens pe suprafetele elementului
Te -21 Temperatura exterioara (corespunzatoare zonei cli
Ti 20 Temperatura mediului interior
8 coeficient de conductivitate termica 14.4 temperatura punctului de roua pentru o umiditate
R1= 0.915179 R1=(Ti-Te)/*(Ti-)
2. Din conditia asigurarii confortului termic minim
Perete timaxp 4
Planseu timaxpl 3
Calculul indicelui de asimilare termica Initial grosime termoizolatie o c
Pentru perete
Nr.crt. Tip strat Grosime strat [m] Conductivitate Rez.termica Coef.asim.term
1 Tencuiala interioara 0.02 0.93 0.02150538 10.08
2 Beton armat 0.12 2.03 0.0591133 17.9
3 Termoizolatie 0.1 0.044 2.27272727 0.3
4 Tencuiala exterioara 0.002 0.87 0.00229885 9.47
Rp 2.3556448
Valoare indice inertie termica perete Dp = di*si/i unde di grosimi st
Dp= 1.978491
mpmax=1,225-0,05*Dp mpmax 1.12607547
Ronec = m*(Ti-Te)/timax
R0cnecmax= 1.442784
Adoptam valoarea maxima R2p = 1.442784198
Pentru planseu
Nr.crt. Tip strat Grosime strat [m] Conductivitate Rez.termica Coef.asim.term1 Membrana hidroizolanta 0.01 0.17 0.05882353 3.28
2 Sapa suport 0.02 1.62 0.01234568 15.36
3 Termoizolatie 0.1 0.042 2.38095238 0.37
4 Bariera de vapori 0.001 0.38 0.00263158 8.49
5 Strat de difuzie 0.001 0.043 0.02325581 0.31
6 Sapa suport 0.02 1.62 0.01234568 15.36
7 Planseu beton armat 0.15 2.03 0.07389163 17.9
8 Tencuiala 0.02 0.87 0.02298851 9.47
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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 = 1.5
R3pl= 3.5
Rp = max(R1, R2, R3)
Rpl=(maxRpl1,Rpl2,Rpl3)
Rp= 1.5Rpl= 3.5
Stabilirea grosimii termoizolatiei
Pentru perete
Ri= 0.125
Re= 0.042
dizp=(Rp-Ri-Re-di/i)*izp
dizp= 0.055004 Adoptam diz 6 cm
Pentru planseu
Ripl= 0.125
Repl= 0.042
dizp=(Rpl-Ripl-Repl-di/i)*izpl
dizpl= 0.131322 Adoptam dizpl 13cm
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matice IV - Brasov)
relativa de 70%
nsideram 0,1 m
Indice inert.term.
0.216774 tencuiala ciment
1.058128 beton armat
0.681818 poliestiren celular
0.02177 tencuiala ciment si var
raturi; si = coeficienti asimilare termica iar = conductivitati
Indice inert.term.0.192941 panza bituminata
0.18963 beton
0.880952 vata minerala tip 60
0.022342 PVC
0.007209 Pasla minerala
0.18963 beton
1.32266 beton armat
0.217701 tencuiala ciment si var
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1.Condens pe suprafata
PENTRU PERETE
Tminsi>
Te -21 Temperatura exterioara (corespunzatoare zonei climatice I
Ti 20 Temperatura mediului interiori 8 coeficient de conductivitate termica pentru fata int.
e 24 coeficient de conductivitate termica pentru fata ext.
14.4 temperatura punctului de roua pentru o umiditate relativa
Nr.crt. Tip strat Gros.strat ConductivitRez.termica Temp. supr.sep.
[m] l R C
4 Tencuiala exterioara 0.02 0.93 0.021505376 -21
3 Termoizolatie 0.06 0.044 1.363636364 -19.39448255
2 Beton armat 0.12 2.03 0.0591133 15.26233524
1 Tencuiala interioara 0.002 0.87 0.002298851 16.76469975
Rp= 1.446553891 20
R0p=(1/i)+Rp+(1/e)
R0p= 1.613221
Ri = 1/i
Ri= 0.125
Tsimin=Ti-Ri*(Ti-Te)/R0
Tsimin= 16.82313
Daca Tsimin> 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*i*Mi di=grosime strat = coeficient de permeabilitate la vapori
M = 54 * 100000000 [1/s]
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
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6 Termoizolatie 0.13 0.042 3.095238095 -19.66608385
5 Bariera de vapori 0.001 0.38 0.002631579 16.92500987
4 Strat de difuzie 0.001 0.043 0.023255814 16.9561197
3 Sapa suport 0.02 1.62 0.012345679 17.23104384
2 Planseu beton armat 0.15 2.03 0.073891626 17.37699123
1 Tencuiala 0.02 0.87 0.022988506 18.25051866
Rpl= 3.301520507
R0p=(1/i)+Rpl+(1/e)
R0p= 3.468187
Ri= 0.125
Tsimin=Ti-Ri*(Ti-Te)/R0
Tsimin= 18.52228
Daca Tsimin> nu apare condens pe suprafata
2. 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
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V - Brasov)
de 70%
Temp.medii P.sat F.rez.p.vap Rez.perm.vap.
C Pa Rv * 100000000
-20.19724127 102 7.1 7.668
-2.066073655 517 1.1 3.564
16.01351749 1818 24.3 157.464
18.38234988 2119 8.5 0.918
Rv total= 169.614
Temp.medii Pres.sat F.rez.vap. Rez.perm.vap.
-20.40601562 99
-19.73905754 106 21.3 23.004
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-1.370536991 547 1.1 7.722
16.94056479 1937 425 22.95
17.09358177 1950 1.1 0.0594
17.30401753 1976 21.3 23.004
17.81375494 2039 24.3 196.83
19.12525933 2241 7.1 7.668
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INCARCARI PERMANENTE
INCARCARI PERMANENTE UNITARE PENTRU PERETI
Nr.crt Denumire Grosime Greutate Incarcare Coeficient
strat [m] tehnica [daN/m] caract. [daN/m] de siguranta
1. Tencuiala ext. 0.002 1800 3.6 1.3
2. Termoizolatie PE 0.06 20 1.2 1.3
3. Strat portant B.A 0.12 2500 300 1.3
4. Tencuiala int. 0.02 1700 34 1.3
Total
1. Tencuiala 0.01 1700 17 1.3
2. Strat portant B.A 0.12 2500 300 1.3
3 Tencuiala 0.01 1700 17 1.3
Total
1. Tencuiala 0.01 1700 17 1.3
2. Strat BCA 0.075 725 54.375 1.3
3. Tencuiala 0.01 1700 17 1.3
Total
INCARCARI PERMANENTE UNITARE PENTRU PLANSEE
Nr.crt Denumire Grosime Greutate Incarcare Coeficient
strat [m] tehnica [daN/m] caract. [daN/m] de siguranta
1. Parchet 0.02 600 12 1.32. Panouri OSB 0.015 550 8.25 1.3
3. Sapa (M100) 0.02 2100 42 1.3
4. Planseu B.A. 0.15 2500 375 1.3
5. Tencuiala (M100) 0.02 2100 42 1.3
Total
1. Mozaic 0.025 2800 70 1.3
2. Sapa 0.033 2100 69.3 1.3
3. Planseu B.A. 0.15 2500 375 1.3
4. Tencuiala 0.02 1700 34 1.3
Total
1. Membr.hidroiz. 0.01 600 6 1.3
2. Sapa suport 0.02 2100 42 1.3
3. Termoizolatie 0.13 60 7.8 1.3
4. Bariera de vapori 0.001 1800 1.8 1.3
5. Strat de difuzie 0.001 1800 1.8 1.3
6. Sapa suport 0.02 2100 42 1.3
7. Planseu B.A. 0.15 2500 375 1.3
PERETE EXTERIOR PORTANT
PERETE INTERIOR PORTANT
PERETE INTERIOR NEPORTANT
PLANSEU PARDOSEALA CALDA
PLANSEU PARDOSEALA RECE
PLANSEU TERASA
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8 Tencuiala 0.02 1700 34 1.3
Total
INCARCARI PERMANENTE UNITARE PENTRU ATIC
Nr.crt. Denumire strat Grosime Greutate unitara Latimea stratului Coef.de sig.
[m] [daN/m] [m]
1. Tencuiala 0.01 1700 17 1.3
2. Strat B.A. 0.12 2500 300 1.3
3. Sapa suport 0.02 2100 42 1.3
4. Strat de difuzie 0.001 1800 1.8 1.3
5. Bariera de vapori 0.001 1800 1.8 1.3
6. Sapa suport 0.02 2100 42 1.3
7. Membr.hidroiz. 0.01 600 6 1.3
Total
Inaltime etaj: He 2.9 [m]
Inaltime atic: 1 [m]
Tip tamplarie Inaltime Latime Suprafata
Fereastra 1 1.2 1.2 1.44
Fereastra 2 1.2 1.5 1.8
Fereastra 3 1.2 1.8 2.16
Usa 1 2.1 1 2.1
Usa 2 2.1 0.8 1.68
Usa 3 1.9 0.7 1.33
Usa 4 (dubla) 1.9 1.4 2.66
INCARCARE DIN PERETI PORTANTI PE NIVEL
Nr.crt. Tip perete G plin G tamplarie
[daN/m] [daN/m] Plin Tamplarie
E1 Exterior portant 440.44 10 7.26 1.44
E2 Exterior portant 440.44 10 15.6 1.8
E3 Exterior portant 440.44 10 5.52 1.44
E4 Exterior portant 440.44 10 9.15 2.16
E5 Exterior portant 440.44 10 5.16 3.54
E6 Exterior portant 440.44 10 9.15 2.16
E7 Exterior portant 440.44 10 10.02 2.16
E8 Exterior portant 440.44 10 4.35 0
E9 Exterior portant 440.44 10 12.78 2.88
E10 Exterior portant 440.44 10 13.86 1.8
E11 Exterior portant 440.44 10 9.51 1.8
E12 Exterior portant 440.44 10 6.9 1.8
E13 Exterior portant 440.44 10 10.38 1.8
I1 Interior portant 434.2 10 17.4 0
I2 Interior portant 434.2 10 6.6 2.1
I3 Interior portant 434.2 10 11.31 0
I4 Interior portant 434.2 10 9.63 1.68
Suprafata
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I5 Interior portant 434.2 10 7.83 0
I6 Interior portant 434.2 10 7.18 2.1
I7 Interior portant 434.2 10 10.08 2.1
I8 Interior portant 434.2 10 8.7 0
I9 Interior portant 434.2 10 9.21 2.1
I10 Interior portant 434.2 10 9.28 0
I11 Interior portant 434.2 10 5.8 0
I12 Interior portant 434.2 10 8.34 2.1I13 Interior portant 434.2 10 3.625 0
I14 Interior portant 434.2 10 13.56 2.1
I15 Interior portant 434.2 10 15.3 2.1
I16 Interior portant 434.2 10 10.5 1.68
INCARCARE DIN PLANSEU PE NIVEL
Nr.crt. Tip planseu G Suprafata Greutate Nr.elem.id
[daN/m] [m] [daN]
1PC Pardoseala calda 623.025 18 11214.45 22PC Pardoseala calda 623.025 11.7 7289.3925 2
3PC Pardoseala calda 623.025 7.5 4672.6875 1
4PC Pardoseala calda 623.025 12.87 8018.33175 1
5PC Pardoseala calda 623.025 9.9 6167.9475 1
6PC Pardoseala calda 623.025 16.2 10093.005 1
1PR Pardoseala rece 712.79 4.56 3250.3224 1
2PR Pardoseala rece 712.79 12 8553.48 1
3PR Pardoseala rece 712.79 15.21 10841.5359 1
4PR Pardoseala rece 712.79 11.34 8083.0386 1
5PR Pardoseala rece 712.79 5.1 3635.229 1
6PR Pardoseala rece 712.79 19.545 13931.48055 1
7PR Pardoseala rece 712.79 4.62 3293.0898 1
8PR Pardoseala rece 712.79 5.52 3934.6008 1
9PR Pardoseala rece 712.79 6.6 4704.414 1
10PR Pardoseala rece 712.79 11.7 8339.643 1
11PR Pardoseala rece 712.79 12.6 8981.154 1
12PR Pardoseala rece 712.79 18 12830.22 1
13PR Pardoseala rece 712.79 6.3 4490.577 1
Greutate tot.planseu nivel
AC Acoperis terasa 663.52 289.8 192288.096 1
Greutate totala acoperis terasa
INCARCAREA PE ATIC
Perimetru atic: 74.1
Greutate totala atic 39553.098
Total incarcari permanente pe nivel: 341511.718
Total incarcari permanente cladire 573352.912
INCARCARI VARIABILE
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INCARCAREA DIN PERETI DESPARTITORI PE UN NIVEL
Nr.crt. Tip perete G plin G tamplarie
[daN/m] [daN/m] Plin Tamplarie
D1 Per. despartitor 114.8875 10 4.932 1.68
D2 Per. despartitor 114.8875 10 5.5825 0
D3 Per. despartitor 114.8875 10 2.875 1.33
D4 Per. despartitor 114.8875 10 8.352 0
D5 Per. despartitor 114.8875 10 4.7 1.68
D6 Per. despartitor 114.8875 10 6.73 1.68
D7 Per. despartitor 114.8875 10 4.35 0
D8 Per. despartitor 114.8875 10 2.585 1.33
D9 Per. despartitor 114.8875 10 4.3 2.66
D10 Per. despartitor 114.8875 10 3.6975 0
D11 Per. despartitor 114.8875 10 6.672 1.68
D12 Per. despartitor 114.8875 10 4.785 0
D13 Per. despartitor 114.8875 10 1.7875 1.33
INCARCAREA UTILA PE UN NIVEL
Nr. Crt Tip planseu Incarcare Coeficient de Incarcarea utila Suprafata
normata siguranta de calcul [m]
[daN/m] [daN/m]
1 Camere 200 1.5 300 239.1995
2 Scari 300 1.5 450 5.1
3 Balcoane 250 1.5 375 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]
Suprafata
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Incarcare de
calcul [daN/m]
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/m]
15.610.725
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
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44.2
663.52
Incarcare de
calcul [daN/m]
22.1
390
54.6
2.34
2.34
54.6
7.8
533.78
74.1
39553.098
Nr.elem.id G.total
Plin Tamplarie Total [daN]
3197.5944 14.4 3211.994 3 9635.983
6870.864 18 6888.864 1 6888.864
2431.2288 14.4 2445.629 1 2445.629
4030.026 21.6 4051.626 1 4051.626
2272.6704 35.4 2308.07 3 6924.211
4030.026 21.6 4051.626 2 8103.252 192
4413.2088 21.6 4434.809 1 4434.809
1915.914 0 1915.914 1 1915.914
5628.8232 28.8 5657.623 1 5657.623
6104.4984 18 6122.498 1 6122.498
4188.5844 18 4206.584 1 4206.584
3039.036 18 3057.036 1 3057.036
4571.7672 18 4589.767 1 4589.767 68033.7972
7555.08 0 7555.08 1 7555.08
2865.72 21 2886.72 3 8660.16
4910.802 0 4910.802 2 9821.604
4181.346 16.8 4198.146 2 8396.292
Greutate [daN]
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3399.786 0 3399.786 2 6799.572
3117.556 21 3138.556 1 3138.556
4376.736 21 4397.736 2 8795.472
3777.54 0 3777.54 5 18887.7
3998.982 21 4019.982 2 8039.964
4029.376 0 4029.376 1 4029.376
2518.36 0 2518.36 1 2518.36
3621.228 21 3642.228 2 7284.4561573.975 0 1573.975 1 1573.975
5887.752 21 5908.752 1 5908.752
6643.26 21 6664.26 1 6664.26
4559.1 16.8 4575.9 1 4575.9 112649.479
Greutate totala pereti 180683.3
G.total
[daN]
22428.914578.785
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] 341.511718 Tone
[daN] 573.352912 Tone
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Nr.elem.id G.total
Plin Tamplarie Total [daN]
566.62515 16.8 583.4252 1 583.4252
641.3594688 0 641.3595 1 641.3595
330.3015625 13.3 343.6016 1 343.6016
959.5404 0 959.5404 1 959.5404
539.97125 16.8 556.7713 1 556.7713
773.192875 16.8 789.9929 1 789.9929
499.760625 0 499.7606 3 1499.282
296.9841875 13.3 310.2842 2 620.5684
494.01625 26.6 520.6163 1 520.6163
424.7965313 0 424.7965 1 424.7965
766.5294 16.8 783.3294 1 783.3294
549.7366875 0 549.7367 1 549.7367
205.3614063 13.3 218.6614 1 218.6614
Greutate totala pereti despartitori 8491.681
Nr. Elementelor Incarcare
identice utila totala
[daN]
1 71759.85
1 2295
3 5062.5
pe nivel 79117.35
reutatea planseelor pe nivel + greutatea utila pe un nivel
peretilor autoportanti pe un nivel)
Greutate [daN]