zidarie proiect
TRANSCRIPT
Calculul densitatii peretilor structurali
P%=∑ A znet
Aplanseu
∗100 ;
Aplanseu=289.91m2 ;
Aria spaletilor (transversali)
A1=1.0872m2 ;
A2=0.3144m2 ;
A3=0.324m2 ;
A4=0.408m2 ;
A5=0.372m2 ;
A6=0.849m2 ;
A7=1.404m2 ;
A8=1.099m2 ;
A9=0.297m2 ;
A10=0.381m2 ;
A11=0.3144m2 ;
A12=1.497m2 ;
A13=0.849m2 ;
A14=0.302m2 ;
A15=0.297m2 ;
A16=1.104 m2 ;
A17=1.152m2 ;
A18=0.297m2 ;
A19=0.993m2 ;
A20=1.725m2 ;
A21=1.14 m2 ;
∑ A i=16.206m2 ;
P%=∑ A znet
Aplanseu
∗100=16.206289.91
∗100=5.59% ;
Page 1 of 24
Aria spaletilor (longitudinali)
A1=0.384m2 ;
A2=0.588m2 ;
A3=1.173m2 ;
A4=1.308m2 ;
A5=0.24m2 ;
A6=0.669m2 ;
A7=1.713m2 ;
A8=1.416m2 ;
A9=0.321m2 ;
A10=0.36m2 ;
A11=0.312m2 ;
A12=1.32m2 ;
A13=0.297m2 ;
A14=1.636m2 ;
A15=1.09m2 ;
A16=0.72m2 ;
A17=0.24m2 ;
A18=0.297m2 ;
A19=0.362m2 ;
A20=0.292m2 ;
A21=0.626 m2 ;
A22=1.246m2 ;
A23=0.369m2 ;
A24=0.504m2 ;
A25=0.36m2 ;
A26=0.504m2 ;
A27=0.384m2 ;
Page 2 of 24
∑ A i=18.731m2 ;
P%=∑ A znet
Aplanseu
∗100=18.731289.91
∗100=6.46% ;
P=min (PT ,PL )=min (5.59 % ,6.46 % )=5.59 % ;
Zona Vaslui , ag=0.24∗g=¿nniv pt 5.59 %≫5%=¿nniv=1=¿P+1
Calculul densitatii golurilor
ρ=Agol( plan)
A znet
;
Transversal :
Agol, 1=0.36m2;
Agol, 2=0.43m2 ;
Agol, 3=0.14 m2 ;
Agol, 4=0.36m2 ;
∑ Agol ,i=1.296m2 ; ρ=∑ Agol ,i
A znet
=1.2963.81
=0.34≤1
Agol, 1=0.22m2 ;
Agol, 2=0.22m2 ;
∑ Agol ,i=0.44m2 ; ρ=∑ Agol ,i
A znet
=0.443.81
=0.11≤0.35
Agol, 1=0.36m2 ;
Agol, 2=0.34m2 ;
Page 3 of 24
∑ Agol ,i=0.70m2 ; ρ=∑ Agol ,i
A znet
=0.701.64
=0.42≤1
Agol, 1=0.24m2 ;
Agol, 2=0.216m2 ;
∑ Agol ,i=0.456m2 ; ρ=∑ Agol ,i
A znet
=0.4562.16
=0.21≤0.35
Agol, 1=0.14m2 ;
∑ Agol ,i=0.14m2 ; ρ=∑ Agol ,i
A znet
=0.143
=0.04≤1
Longitudinal :
Agol, 1=0.36m2;
Agol, 2=0.14m2 ;
∑ Agol ,i=0.50m2 ; ρ=∑ Agol ,i
A znet
=0.502.64
=0.18≤1
Agol, 1=0.216m2;
Agol, 2=0.216m2 ;
∑ Agol ,i=0.432m2 ; ρ=∑ Agol ,i
A znet
=0.4322.64
=0.16≤0.35
Agol, 1=0.288m2;
Agol, 2=0.43m2 ;
∑ Agol ,i=0.718m2 ; ρ=∑ Agol ,i
A znet
=0.7181.71
=0.41≤1
Page 4 of 24
Agol, 1=0.216m2;
Agol, 2=0.24m2 ;
Agol, 3=0.216m2 ;
∑ Agol ,i=0.672m2 ; ρ=∑ Agol ,i
A znet
=0.6725
=0.13≤0.35
Agol, 1=0.216m2;
Agol, 2=0.24m2 ;
∑ Agol ,i=0.456m2 ; ρ=∑ Agol ,i
A znet
=0.4561.71
=0.26≤0.35
Agol, 1=0.216m2;
Agol, 2=0.216m2 ;
∑ Agol ,i=0.432m2 ; ρ=∑ Agol ,i
A znet
=0.4321.71
=0.25≤0.35
Agol, 1=0.288m2;
Agol, 2=0.43m2 ;
Agol, 3=0.36m2 ;
Agol, 4=0.288m2 ;
Agol, 5=0.288m2 ;
∑ Agol ,i=1.654 m2 ; ρ=∑ Agol ,i
A znet
=1.6545
=0.33≤1
Calculul Conlucrarii de Spaleti
Conlucrarea de spaleti 1
Page 5 of 24
ASpalet ,1=1.0872m2
ASpalet , 2=0.3264m2
ASpalet , 3=0.3456m2}=¿ASpalet ,i=1.7592m2 ;
xG1=0.12m ; yG1=2.265m ;xG2=0.92m ; yG2=4.41m ;xG3=0.96 m ; yG3=1.11m ;
XG=∑ xGi
∗Ai
∑ A i
=0.13+0.3+0.331.7592
=0.43m ;
Y G=∑ yGi
∗Ai
∑ Ai
=2.46+1.44+0.381.7592
=2.43m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=0.24∗(4.53 )3
12+(0.17 )2∗1.0872=1.891m4 ;
I Spalet ,2=1.36∗(0.24 )3
12+(1.98 )2∗0.3264=1.281m4 ;
I Spalet ,3=1.44∗(0.24 )3
12+(1.32 )2∗0.3456=0.6038m4 ;
I spalet ,Conlucrare=∑ I spalet ,i=1.891+1.281+0.6038=3.7758m4 ;
Conlucrare de spaleti 2
ASpalet , 1=0.3144m2
ASpalet , 2=0.3456m2}=¿ASpalet ,i=0.66m2 ;
xG1=0.12m ; yG1=0.655m ;xG2=0.96m ; yG2=0.62m ;
Page 6 of 24
XG=∑ xGi
∗Ai
∑ A i
=0.038+0.540.66
=0.87m ;
Y G=∑ yGi
∗Ai
∑ Ai
=0.205+0.2140.66
=0.63m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=0.24∗(1.31 )3
12+ (0.03 )2∗0.3144=0.04528m4 ;
I Spalet ,2=1.44∗(0.24 )3
12+(0.01 )2∗0.3456=0.001684m4 ;
I spalet ,Conlucrare=∑ I spalet ,i=0.04528+0.001684=0.04696 m4 ;
Conlucrare de spaleti 3
ASpalet ,1=0.324m2
ASpalet , 2=0.3456m2}=¿ASpalet ,i=0.6696m2 ;
xG1=0.12m ; yG1=0.675m ;xG2=0.96m ; yG2=0.77m ;
XG=∑ xGi
∗Ai
∑ A i
=0.0388+0.33170.6696
=0.55m ;
Y G=∑ yGi
∗Ai
∑ Ai
=0.2187+0.26610.6696
=0.724 m ;
Page 7 of 24
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=0.24∗(1.35 )3
12+(0.05 )2∗0.324=0.05081m4 ;
I Spalet ,2=1.44∗(0.24 )3
12+(0.05 )2∗0.3456=0.002514m4 ;
I spalet ,Conlucrare=∑ I spalet ,i=0.05081+0.002514=0.053324 m4 ;
Conlucrare de spaleti 4
ASpalet , 1=0.408m2
ASpalet , 2=0.3456m2}=¿ASpalet ,i=0.7536m2 ;
xG1=0.12m ; yG1=0.85m ;xG2=0.96m ; yG2=0.97m ;
XG=∑ xGi
∗Ai
∑ A i
=0.049+0.3310.7536
=0.5m ;
Y G=∑ yGi
∗Ai
∑ Ai
=0.3468+0.3350.7536
=0.9m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=0.24∗(1.70 )3
12+(0.05 )2∗0.408=0.099m4 ;
I Spalet ,2=1.44∗(0.24 )3
12+(0.07 )2∗0.3456=0.00334m4 ;
I spalet ,Conlucrare=∑ I spalet ,i=0.099+0.00334=0.10234 m4 ;
Conlucrare de spaleti 5
Page 8 of 24
ASpalet , 1=0.372m2
ASpalet , 2=0.3456m2}=¿ASpalet ,i=0.7176m2 ;
xG1=0.12m ; yG1=0.775m ;xG2=0.96m ; yG2=0.12m ;
XG=∑ xGi
∗Ai
∑ A i
=0.044+0.3310.7176
=0.52m ;
Y G=∑ yGi
∗Ai
∑ Ai
=0.2883+0.04140.7176
=0.46m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=0.24∗(1.55 )3
12+(0.32 )2∗0.372=0.1124 m4 ;
I Spalet ,2=1.44∗(0.24 )3
12+(0.34 )2∗0.3456=0.0416m4 ;
I spalet ,Conlucrare=∑ I spalet ,i=0.1124+0.0416=0.154m4 ;
Conlucrare de spaleti 6
Page 9 of 24
ASpalet , 1=0.24m2
ASpalet , 2=0.7344m2
ASpalet , 3=0.5832m2}=¿ASpalet ,i=1.5576m2 ;
xG1=0.70m ; yG1=0.12m ;xG2=0.87 m ; yG2=1.77 m ;xG3=1.22m ; yG3=3.42m ;
XG=∑ xGi
∗Ai
∑ A i
=0.168+0.638+0.7111.5576
=0.97m ;
Y G=∑ yGi
∗Ai
∑ Ai
=0.0288+1.299+1.9941.5576
=2.13m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=1∗(0.24 )3
12+ (2.01 )2∗0.24=0.970724 m4 ;
I Spalet ,2=0.24∗(3.06 )3
12+(0.36 )2∗0.7344=0.6651m4 ;
I Spalet ,3=2.43∗(0.24 )3
12+(1.29 )2∗0.5832=1.019m4 ;
I spalet ,Conlucrare=∑ I spalet ,i=0.970724+0.6651+1.019=2.6549m4 ;
Conlucrare de spaleti 7
Page 10 of 24
ASpalet ,1=1.4064m2
ASpalet , 2=0.3456m2
ASpalet , 3=0.12m2
ASpalet , 4=0.12m2 }=¿ASpalet ,i=1.992m2 ;
xG1=1.56m ; yG1=2.93m ;xG2=0.72m ; yG2=3.62m ;xG3=1.19m ; yG3=0.62m ;xG4=1.93m ; yG 4=0.62m ;
XG=∑ xGi
∗Ai
∑ A i
=2.193+0.248+0.142+0.2311.992
=1.41m ;
Y G=∑ yGi
∗Ai
∑ Ai
=4.12+1.25+0.074+0.0741.992
=2.77m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=0.24∗(5.76 )3
12+(0.16 )2∗0.1 .4064=4.056m4 ;
I Spalet ,2=1.44∗(0.24 )3
12+(0.84 )2∗0.3456=0.25134 m4 ;
I Spalet ,3=0.5∗(0.24 )3
12+(2.15 )2∗0.12=0.5552m4 ;
I Spalet ,4=0.5∗(0.24 )3
12+ (2.15 )2∗0.12=0.5552m4 ;
I spalet ,Conlucrare=∑ I spalet ,i=4.056+0.25134+0.5552+0.5552=5.41774m4 ;
Page 11 of 24
Conlucrare de spaleti 8
ASpalet ,1=1.0416m2
ASpalet ,2=0.24m2
ASpalet ,3=0.367m2 }=¿ ASpalet ,i=1.6512m2 ;
xG1=1.12m ; yG1=2.41m ;xG2=0.50m ; yG2=4.02m ;xG3=1.27m ; yG3=0.12m ;
XG=∑ xGi
∗Ai
∑ A i
=1.166+0.12+0.4661.6512
=1.06m ;
Y G=∑ yGi
∗Ai
∑ Ai
=2.51+0.96+0.0441.6512
=2.12m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=0.24∗(4.34 )3
12+ (0.29 )2∗1.0416=1.7175m4 ;
I Spalet ,2=1∗(0.24 )3
12+ (1.90 )2∗0.24=0.8774 m4 ;
I Spalet ,3=1.54∗(0.24 )3
12+(2.00 )2∗0.367=1.46977m4 ;
I spalet ,Conlucrare=∑ I spalet ,i=1.7175+0.8774+1.46977=4.06467m4 ;
Page 12 of 24
Conlucrare de spaleti 12
ASpalet ,1=1.38m2
ASpalet , 2=0.74m2
ASpalet ,3=0.504m2}=¿ ASpalet , i=2.624m2 ;
xG1=1.56m ; yG1=3.12m ;xG2=1.56m ; yG2=6.12m ;xG3=1.43m ; yG3=0.12m ;
XG=∑ xGi
∗Ai
∑ A i
=2.153+1.154+0.722.624
=1.53m ;
Y G=∑ yGi
∗Ai
∑ Ai
=4.3+4.52+0.062.624
=3.38m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=0.24∗(5.76 )3
12+(0.26 )2∗1.38=3.91m4 ;
I Spalet ,2=3.12∗( 0.24 )3
12+ (2.74 )2∗0.74=5.5591m4 ;
I Spalet ,3=2.10∗(0.24 )3
12+(3.26 )2∗0.504=5.3587m4 ;
I spalet ,Conlucrare=∑ I spalet ,i=3.91+5.5591+5.3587=14.827 m4 ;
Page 13 of 24
Momentele de Inertie a PeretilorIPerete ,1
IGi=b∗h3
12+Y i
2∗A i ;
Y i2=distantade laGi laG perete pedirectiaaxei Y ;
Conlucrarea 1
IG1=0.24∗(4.53 )3
12+(5.34 )2∗1.087=32.856m4 ;
IG2=1.36∗(0.24 )3
12+ (7.48 )2∗0.32=19.62m4 ;
IG3=1.44∗(0.24 )3
12+(4.18 )2∗0.3456=6.04m4 ;
Conlucrarea 2
IG1=0.24∗(1.31 )3
12+(0.92 )2∗0.3144=0.3111m4 ;
IG2=1.44∗(0.24 )3
12+(0.88 )2∗0.3456=0.2692m4 ;
Conlucrarea 3
IG1=0.24∗(1.34 )3
12+(2.22 )2∗0.324=1.64 m4 ;
IG2=1.44∗(0.24 )3
12+(2.12 )2∗0.3456=1.55m4 ;
Conlucrarea 4
IG1=0.24∗(1.70 )3
12+ (4.34 )2∗0.408=7.78m4 ;
Page 14 of 24
IG2=1.44∗(0.24 )3
12+(4.22 )2∗0.3456=6.156m4 ;
Conlucrarea 5
IG1=0.24∗(1.55 )3
12+ (7.47 )2∗0.372=20.83m4 ;
IG2=1.44∗(0.24 )3
12+(8.12 )2∗0.3456=22.78m4 ;
IPerete ,2
Conlucrarea 6
IG1=1∗(0.24 )3
12+( 4.28 )2∗0.24=4.39m4 ;
IG2=0.24∗(3.06 )3
12+(5.93 )2∗0.7344=26.39m4 ;
IG3=2.43∗(0.24 )3
12+ (7.58 )2∗0.5832=33.55m4 ;
Conlucrarea 7
IG1=0.24∗(5.83 )3
12+ (0.29 )2∗1.4064=4.138m4 ;
IG2=1.44∗(0.24 )3
12+(0.98 )2∗0.3456=0.333m4 ;
IG3=IG4=0.5∗(0.24 )3
12+ (2.02 )2∗0.12=0.49m4 ;
Conlucrarea 8
IG1=0.24∗(4.34 )3
12+(5.73 )2∗1.0416=35.82m4 ;
IG2=1∗(0.24 )3
12+( 4.12 )2∗0.24=4.074m4 ;
Page 15 of 24
IG3=1.54∗(0.24 )3
12+(8.02 )2∗0.367=23.60m4 ;
IPerete ,3
Conlucrarea 12
IG1=0.24∗(5.76 )3
12+ (0.26 )2∗1.38=3.91m4 ;
IG2=3.12∗(0.24 )3
12+ (2.74 )2∗0.74=5.5591m4 ;
IG3=2.10∗(0.24 )3
12+(3.26 )2∗0.504=5.3587m4 ;
I perete ,1=∑ IGi=119.8324 m4 ;
I perete ,2=∑ IGi=133.274m4 ;
I perete ,3=∑ IGi=14.827m4 ;
I perete ,4=12∗I perete ,2=66.6375m4
;
I perete ,5=I perete ,3=14.827 m4 ;
I perete ,6=I perete ,3=14.827 m4 ;
I perete ,7=1.5∗I perete ,3=22.2405m4 ;
Page 16 of 24
∑ I pi=386.5104 m4 ;
Forta seismica
Fb=cs∗G ;cs=coeficient de siguranta;c s=0.301 ;G=greutatea cladiri ;G=G ac+1.5∗G p ,ext+1.5∗G
p ,∫ ¿+(G¿¿ pl∗A planseu+G pl∗(A planseu−A scara)+G scara∗Ascara )+1.5∗G p ,desp+1.5∗Gtamplarie¿¿ ;
Gac=500+95+40=635daN /m2∗A planseu=635∗289.91=184092.85daN ;
G p , ext=425+175=600daN /m2∗A p , ext=600∗[ (15.84+20.94+12.54+7.14+2.76+11.04 )∗3 ]=126468daNG
p ,∫¿=405+175=480 daN /m2∗A p .∫ ¿=480∗[(8.66 +9.56+17.66+4.76+4.86+13.82+5.76+6.62+9.7)∗3]=117216 daN¿ ¿ ;
(G¿¿ pl∗A planseu+G pl∗( Aplanseu−A scara )+Gscara∗A scara)=540∗289.91+540 (289.91−18.38 )+135∗18.38=305658.9daN ¿
;
G p , desp=230∗[ (2.24+1.1+2.2+1.1+2.16+0.96+3.66+0.96 )∗3 ]=10382.4daN ;
Gtamplarie=70∗(9+5.4+1.08+24.57+12.6+4.32 )=3987.5daN ;
G=G ac+1.5∗G p ,ext+1.5∗Gp ,∫ ¿+(G¿¿ pl∗A planseu+G pl∗(A planseu−A scara)+G scara∗Ascara )+1.5∗G p ,desp+1.5∗Gtamplarie=184092.85+1.5∗126468+305658.9+1.5∗10382.4+1.5∗3987.5=876832.6daN (kg)¿ ¿
;
Fb=cs∗G=0.301∗876832.6=263926.61daN ;
- pentru primul nivel : Fb ,1=kF ,1∗Fb=0.333∗263926.61=87887.56daN ;
- pentru al doilea nivel : Fb ,2=kF ,2∗Fb=0.666∗263926.61=175775.11daN ;
Cel mai solicitat perete (peretele 4)
Conlucrarea de spaleti 9
ASpalet ,1=0.4032
ASpalet , 2=0.24m2}=¿ASpalet ,i=0.6432m2 ;
xG1=0.84 m ; yG1=1.12m ;xG2=1.56m ; yG2=0.5m ;
Page 17 of 24
XG=∑ xGi
∗Ai
∑ A i
=0.338+0.3740.6432
=1.1m ;
Y G=∑ yGi
∗Ai
∑ Ai
=0.451+0.120.6432
=0.887m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=1.68∗(0.24 )3
12+(0.23 )2∗0.4032=0.0232m4 ;
I Spalet ,2=0.24∗(1.00 )3
12+(0.39 )2∗0.24=0.056m4
I spalet ,Conlucrare=∑ I spalet ,i=0.0232+0.056=0.0792m4 ;
Conlucrarea de spaleti 10
ASpalet , 1=0.3456m2
ASpalet , 2=0.3816m2}=¿ASpalet ,i=0.7272m2 ;
xG1=0.72m ; yG1=0.91m ;xG2=1.56m ; yG2=0.80m ;
XG=∑ xGi
∗Ai
∑ A i
=0.248+0.5950.7272
=1.15m ;
Y G=∑ yGi
∗Ai
∑ Ai
=0.314+0.305280.7272
=0.851m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
Page 18 of 24
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=1.44∗(0.24 )3
12+(0.06 )2∗0.3456=0.0029m4
I Spalet ,2=0.24∗(1.59 )3
12+(0.06 )2∗0.3816=0.0817m4
I spalet ,Conlucrare=∑ I spalet ,i=0.0029+0.0817=0.0846m4 ;
Conlucrare de spaleti 11
ASpalet , 1=0.3456m2
ASpalet , 2=0.3456m2
ASpalet ,3=0.3144m2}=¿ ASpalet , i=1.0056m2 ;
xG1=0.72m ; yG1=0.12m ;xG2=2.40m ; yG2=0.12m ;xG3=1.56m ; yG3=0.66m ;
XG=∑ xGi
∗Ai
∑ A i
=0.248+0.829+0.491.0056
=1.55m ;
Y G=∑ yGi
∗Ai
∑ Ai
=0.041+0.041+0.2071.0056
=0.29m ;
I Spalet ,i=b∗h3
12+ y i
2∗Ai ;
y i2=distantade laGi laG pedirectia axeiY ;
I Spalet ,1=1.44∗0.24
12+(0.17 )2∗0.3456=0.0116 m4
;
I Spalet ,2=1.44∗(0.24 )3
12+(0.17 )2∗0.3456=0.0116 m4 ;
I Spalet ,3=0.24∗(1.31 )3
12+ (0.37 )2∗0.3144=0.087m4 ;
I spalet ,Conlucrare=∑ I spalet ,i=0.0116∗2+0.087=0.1102m4 ;
Refacere Moment de Inertie a peretelui solicitat
Conlucrarea 9
Page 19 of 24
IG1=1.68∗(0.24 )3
12+ (3.78 )2∗0.3456=4.93m4 ;
IG2=0.24∗(1 )3
12+(3.16 )2∗0.24=2.41m4 ;
Conlucrarea 10
IG1=1.44∗(0.24 )3
12+(0.48 )2∗0.3456=0.081m4 ;
IG2=0.24∗(1.59 )3
12+ (0.37 )2∗0.3816=0.132m4 ;
Conlucrarea 11
IG1=1.44∗(0.24 )3
12+(2.82 )2∗0.3456=2.74 m4 ;
IG2=1.44∗(0.24 )3
12+(2.82 )2∗0.3456=2.74 m4;
IG3=0.24∗(1.07 )3
12+2.29∗0.3144=1.69m4 ;
I perete ,4=∑ IGi=14.723m4;
∑ I pi=334.5964 m4 ;
Forta seismica pe perete ( cel mai solicitat )
- primul nivel
F p ,4=Fb ,1∗I p ,4
∑ I p ,i
=87887.56∗14.723334.5964
=3867.62daN ;
- al doilea nivel
F p ,4=Fb , 2∗I p ,4
∑ I p ,i
=175775.11∗14.723334.59644
=7732.30daN ;
Forta seismica pe spaleti ( din peretele cel mai solicitat )
- primul nivel
F sc , 1=Fb , 1∗I sc , 1
I p , 4
=3867.62∗7.3414.723
=1928.162daN ;
F sc , 2=Fb , 1∗I sc , 2
I p ,4
=3867.62∗0.21314.723
=55.95daN ;
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F sc , 3=Fb , 1∗I sc , 3
I p ,4
=3867.62∗7.1714.723
=1883.50daN ;
- al doilea nivel
F sc , 1=Fb , 2∗I sc , 1
I p ,4
=7732.30∗7.3414.723
=3854.85daN ;
F sc , 2=Fb , 2∗I sc , 2
I p ,4
=7732.30∗0.21314.723
=111.86daN ;
F sc , 3=Fb , 2∗I sc , 3
I p ,4
=7732.30∗7.1714.723
=3765.57 daN ;
Calculul eforturilor N , M , V. (pe perete)
Suprafetele aferente : 22.54m4 (perete ) ;
6.25m4(spalet conlucrare 1)10.30m4(spalet conlucrare 2)6.00m4(spalet conlucrare 3)
- N ( pentru peretele cel mai solicitat )
N3−3=Saf∗Gac=22.54∗745=16792.3daN ;
N2−2=N3−3+Saf∗G perete ,ext=16792.3+(22.54∗600)=30316.3daN ;
N1−1=N2−2+Saf∗G perete ,ext=30316.3+(22.54∗600)=43840.3daN ;
- V ( pentru peretele cel mai solicitat )
V 3−3=0daN ;
V 2−2=F p ,4 ,niv2=7732.30 daN ;
V 1−1=F p ,4 ,niv1+F p ,4 ,niv2=3867.62+7732.30daN ;
- M ( pentru peretele cel mai solicitat )
M 3−3=0daN ;
M 2−2=F p ,4 , niv2∗hetaj=23196.9daN ;
M 1−1=M 2−2=23196.9daN ;
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M 0−0=F p , 4 ,n iv2∗(2∗hetaj )+Fp , 4 , niv1∗hetaj=57996.66daN ;
Calculul eforturilor N , M , V. (pe spaleti)
Conlucrare de spaleti 9- N
N3−3=Saf , sc∗G ac=6.25∗745=4656.2daN ;
N2−2=N3−3+Saf ,sc∗G perete , ext=4656.2+(6.25∗600)=8406.25daN ;
N1−1=N2−2+Saf , sc∗G perete ,ext=8406.25+(6.25∗600)=12156.25 daN ;
- V
V 3−3=0daN ;
V 2−2=F p ,4 ,niv2=3754.85daN ;
V 1−1=F p ,4 ,niv1+F p ,4 ,niv2=1928.162+3867.62=5783.012daN ;
- M
M 3−3=0daN m ;
M 2−2=F p ,4 , niv2∗hetaj=11564.559daNm ;
M 1−1=M 2−2=11564.55daN m ;
M 0−0=F p , 4 ,niv2∗(2∗hetaj )+Fp , 4 , niv1∗hetaj=28913.58daN m ;
Conlucrare de spaleti 10- N
N3−3=Saf , sc∗G ac=10.30∗745=7673.5daN ;
N2−2=N3−3+Saf ,sc∗G perete , ext=7673.5+(10.30∗600)=13853.5daN ;
N1−1=N2−2+Saf , sc∗G perete ,ext=13853.5+(10.30∗600)=20033.5daN ;
- V
V 3−3=0daN ;
V 2−2=F p ,4 ,niv2=111.86 daN ;
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V 1−1=F p ,4 ,niv1+F p ,4 ,niv2=55.95+111.86=167.81daN ;
- M
M 3−3=0daN m ;
M 2−2=F p ,4 , niv2∗hetaj=335.58daN m ;
M 1−1=M 2−2=335.58daN m ;
M 0−0=F p , 4 ,niv2∗(2∗hetaj )+Fp , 4 , niv1∗hetaj=839.01daN m ;
Conlucrare de spaleti 11- N
N3−3=Saf , sc∗G ac=6.00∗745=4470daN ;
N2−2=N3−3+Saf ,sc∗G perete , ext=4470+(6.00∗600)=8070daN ;
N1−1=N2−2+Saf , sc∗G perete ,ext=8070+(6.00∗600)=11670 daN ;
- V
V 3−3=0daN ;
V 2−2=F p ,4 ,niv2=3765.57daN ;
V 1−1=F p ,4 ,niv1+F p ,4 ,niv2=1883.50+3765.57=5649.07 daN ;
- M
M 3−3=0daN ;
M 2−2=F p ,4 , niv2∗hetaj=11296.71daN ;
M 1−1=M 2−2=11296.71daN ;
M 0−0=F p , 4 ,niv2∗(2∗hetaj )+Fp , 4 , niv1∗hetaj=28243.92daN ;
Rezistenta unitara caracteristica la compresiune a zidariei
f k=K∗f b0.70∗f m
0.30 ;
Page 23 of 24
K=0.55 ( pentru zidarie cu grosimea peretelui de 24 cm )
pentru M12.5 : f b=12.5 N /mm2;
f k=5.5N /mm2;
MRd ,sc 1
X rd=N ed
0.85∗f d∗t= 121562.5
0.85∗240∗2.5=238.35mm=2.38m<1.24 ;
MRd ,sc 1=N ed
2∗(lw−xrd)=12156.25
2∗(−1.14 )=−6929.062<M ed ;
V Rd , sc1
l=M ed
N ed
=28913.5812156.25
=2.37 ;
lc=1.5∗lw−3∗l ;lc=1.5∗1.24−3∗2.37=−5.25 ;lad=2∗lc−lw=−11.74 ;
V Rd , sc1=1γM
∗(0.3∗ladt
+0.4∗N ed
240∗t )∗240∗t=−380055.27<V ed ;
Pentru ca Vrd<Ved , Mrd<Med se dispun stalpisori din beton armat.
Page 24 of 24