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4. Determinarea sectiunilor active ale diafragmelor transversale
4.1.1. Sectiuni active montanti
MONTANT 1, DT1 MONTANT 2,3, DT1
t11 0.30:= m t12 0.30:= m
dgol11 1.5:= m dgol12 1.8:= m
βbdr11 min 6 t11β dgol11, ( ):= βbdr12 min 6 t12β dgol12, ( ):=
βbdr11 1.5= βbdr12 1.8=
βbstg11 0:= βbstg12 0:=
leff11 βbdr11 t11+ βbstg11+:= leff12 βbdr12 t12+ βbstg12+:=
leff11 1.8= m leff12 2.1= m
MONTANT 1, DT2
t21 0.25:= m
dgol21 1.725:= m
βbstg21 min 6 t21β dgol21, ( ):=
βbstg21 1.5=
βbdr21 1:=
leff21 βbdr21 t21+ βbstg21+:=
leff21 2.75= m
MONTANT 2, DT2
t22 0.25:= m
dgol22 0.8:= m
βbstg22 min 6 t22β dgol22, ( ):=
βbstg22 0.8=
βbdr22 0.8:=
leff22 βbdr22 t22+ βbstg22+:=
leff22 1.85= m
MONTANT 3, DT2
t23 0.25:= m
dgolstg23 1.725:= m
βbstg23 min 6 t23β dgolstg23, ( ):=
βbstg23 1.5=
dgoldr23 1:= m
βbdr23 min 6 t23β dgoldr23, ( ):=
βbdr23 1=
leff23 βbdr23 t23+ βbstg23+:=
leff23 2.75= m
MONTANT 1, DT3 MONTANT 1.1, DT3
t31 0.25:= m t311 0.25:= m
dgolstg31 1.275:= m dgolstg311 1.5:= m
βbstg31 min 6 t31β dgolstg31, ( ):= βbstg311 min 6 t31β dgolstg31, ( ):=
βbstg31 1.275= m βbstg311 1.275= m
dgoldr31 1:= m dgoldr311 0.8:= m
βbdr31 min 6 t31β dgoldr31, ( ):= βbdr311 min 6 t311β dgoldr311, ( ):=
βbdr31 1= βbdr311 0.8=
leff31 βbdr31 t31+ βbstg31+:= leff311 βbdr311 t311+ βbstg311+:=
leff31 2.525= m leff311 2.325= m
MONTANT 2, DT3 MONTANT 2.1, DT3
t32 0.25:= m t321 0.25:= m
dgolstg32 0:= m dgolstg321 1.225:= m
βbstg32 0:= βbstg321 min 6 t321β dgolstg321, ( ):=
βbstg32 0=βbstg321 1.225= m
dgoldr32 1.5:= m dgoldr321 0:= m
βbdr32 min 6 t32β dgoldr32, ( ):= βbdr321 min 6 t321β dgoldr321, ( ):=
βbdr32 1.5= βbdr321 0=
leff32 βbdr32 t32+ βbstg32+:= leff321 βbdr321 t321+ βbstg321+:=
leff32 1.75= m leff321 1.475= m
MONTANT 1, DT4MONTANT 2.1, DT3
t41 0.25:= mt3211 0.25:= m
dgolstg41 1.225:= mdgolstg3211 0:= m
βbstg41 min 6 t41β dgolstg41, ( ):=βbstg3211 min 6 t3211β dgolstg3211, ( ):=
βbstg41 1.225= mβbstg3211 0= m
dgoldr41 1.5:= mdgoldr3211 1.5:= m
βbdr41 min 6 t41β dgoldr41, ( ):=βbdr3211 min 6 t3211β dgoldr3211, ( ):=
βbdr41 1.5= mβbdr3211 1.5=
leff41 βbdr41 t41+ βbstg41+:=leff3211 βbdr3211 t3211+ βbstg3211+:=
leff41 2.975= mleff3211 1.75= m
MONTANT 2, DT4
t42 0.25:= m
dgolstg42 1.925:= m
βbstg42 min 6 t42β dgolstg42, ( ):=
βbstg42 1.5= m
dgoldr42 1.5:= m nuavemgol( )
βbdr42 min 6 t42β dgoldr42, ( ):=
βbdr42 1.5= m
leff42 βbdr42 t42+ βbstg42+:=
leff42 3.25= m
MONTANT 2, DT5MONTANT 1, DT5
t52 0.25:= mt51 0.25:= m
dgolstg52 1.725:= mdgolstg51 1.5:= m nuavemgol( )
βbstg52 min 6 t52β dgolstg52, ( ):=βbstg51 min 6 t51β dgolstg51, ( ):=
βbstg52 1.5= mβbstg51 1.5= m
dgoldr52 1:= mdgoldr51 1.95:= m
βbdr52 min 6 t52β dgoldr52, ( ):=βbdr51 min 6 t51β dgoldr51, ( ):=
βbdr52 1= mβbdr51 1.5= m
leff52 βbdr52 t52+ βbstg52+:=leff51 βbdr51 t51+ βbstg51+:=
leff52 2.75= mleff51 3.25= m
MONTANT 1, DT6 MONTANT 1.1, DT6
t61 0.3:= m t611 0.3:= m
dgolstg61 1.725:= m dgolstg611 0:= m
βbstg61 min 6 t61β dgolstg61, ( ):= βbstg611 min 6 t611β dgolstg611, ( ):=
βbstg61 1.725= m βbstg611 0= m
dgoldr61 0:= m dgoldr611 1:= m
βbdr61 min 6 t61β dgoldr61, ( ):= βbdr611 min 6 t611β dgoldr611, ( ):=
βbdr61 0= m βbdr611 1= m
leff61 βbdr61 t61+ βbstg61+:= leff611 βbdr611 t611+ βbstg611+:=
leff61 2.025= m leff611 1.3= m
MONTANT 1.2, DT6 MONTANT 2, DT6
t612 0.25:= m t62 0.25:= m
dgolstg612 1.5:= m dgolstg62 0.8:= m
βbstg612 min 6 t612β dgolstg612, ( ):= βbstg62 min 6 t62β dgolstg62, ( ):=
βbstg612 1.5= m βbstg62 0.8= m
dgoldr612 0:= m dgoldr62 1.5:= m nuavemgol( )
βbdr612 min 6 t612β dgoldr612, ( ):= βbdr62 min 6 t62β dgoldr62, ( ):=
βbdr612 0= m βbdr62 1.5= m
leff612 βbdr612 t612+ βbstg612+:= leff62 βbdr62 t62+ βbstg62+:=
leff612 1.75= m leff62 2.55= m
MONTANT 3, DT6
t63 0.25:= m
dgolstg63 1.25:= m
βbstg63 min 6 t63β dgolstg63, ( ):=
βbstg63 1.25= m
dgoldr63 1:= m
βbdr63 min 6 t63β dgoldr63, ( ):=
βbdr63 1= m
leff63 βbdr63 t63+ βbstg63+:=
leff63 2.5= m
MONTANT 1, DT7
t71 0.25:= m
dgolstg71 1.275:= m
βbstg71 min 6 t71β dgolstg71, ( ):=
βbstg71 1.275= m
dgoldr71 1:= m
βbdr71 min 6 t71β dgoldr71, ( ):=
βbdr71 1= m
leff71 βbdr71 t71+ βbstg71+:=
leff71 2.525= m
MONTANT 2, DT7 MONTANT 2.1, DT7
t72 0.25:= m t721 0.25:= m
dgolstg72 1.5:= m dgolstg721 1.26:= m
βbstg72 min 6 t72β dgolstg72, ( ):= βbstg721 min 6 t72β dgolstg72, ( ):=
βbstg72 1.5= m βbstg721 1.5= m
dgoldr72 0.3:= m dgoldr721 1:= m
βbdr72 min 6 t72β dgoldr72, ( ):= βbdr721 min 6 t72β dgoldr72, ( ):=
βbdr72 0.3= m βbdr721 0.3= m
leff72 βbdr72 t72+ βbstg72+:= leff721 βbdr72 t72+ βbstg72+:=
leff72 2.05= m leff721 2.05= m
MONTANT 1, DT8 MONTANT 2, DT8
t81 0.3:= m t82 0.3:= m
dgolstg81 1.24:= m dgolstg82 2.725:= m
βbstg81 min 6 t81β dgolstg81, ( ):= βbstg82 min 6 t82β dgolstg82, ( ):=
βbstg81 1.24= m βbstg82 1.8= m
dgoldr81 0:= m dgoldr82 0:= m
βbdr81 min 6 t81β dgoldr81, ( ):= βbdr82 min 6 t82β dgoldr82, ( ):=
βbdr81 0= m βbdr82 0= m
leff81 βbdr81 t81+ βbstg81+:= leff82 βbdr82 t82+ βbstg82+:=
leff81 1.54= m leff82 2.1= m
MONTANT 3, DT8
t83 0.3:= m
dgolstg83 1.225:= m
βbstg83 min 6 t83β dgolstg83, ( ):=
βbstg83 1.225= m
dgoldr83 0:= m
βbdr83 min 6 t83β dgoldr83, ( ):=
βbdr83 0= m
leff83 βbdr83 t83+ βbstg83+:=
leff83 1.525= m
4.1.2 Sectiuni active rigle
Pentru usa 1(m) x 2.1(m) Pentru usa 0.7(m) x 2.1(m)
tr1 0.25:= m tr2 0.25:= m
l0r1 1:= m l0r2 0.7:= m
βbstr1 0.15 l0r1β := βbstr2 0.15 l0r2β :=
βbstr1 0.15= m βbstr2 0.105= m
βbdrr1 βbstr1 0.15=:= m βbdrr2 βbstr2 0.105=:= m
lp1 βbstr1 tr1+ βbdrr1+:= lp2 βbstr2 tr2+ βbdrr2+:=
lp1 0.55= m lp2 0.46= m
4.2 Calculul caracteristicilor geometrice pentru montanti
DT1
tp 0.3:= m
lw1 11.3:= m
tp1 0.25:= m
t 0.3:= m
Am11 tp 2leff11 leff12+( )β lw1 2 tpβ β tp1β( ) tβ +:=
Am11 4.845= m2
DT2- 1 DT2 - 2
tp 0.25:= m tp 0.25:= m
lw21 3.35:= m lw22 2.025:= m
tp1 0.3:= m tp2 0.25:= m
t 0.25:= m t 0.25:= m
Am21 tp leff21( )β lw21 tp1β( ) tβ +:= Am22 tp leff22( )β lw22 tp2β( ) tβ +:=
Am21 1.45= m2
Am22 0.906= m2
DT2 - 3
tp 0.25:= m
lw23 4.23:= m
tp3 0.3:= m
t 0.25:= m
Am23 tp leff23( )β lw23 tp3β( ) tβ +:=
Am23 1.67= m2
DT3 - 1
t 0.25:= m
lw31 4.73:= m
tp1 0.3:= m
tp2 0.25:= m
Am31 tp1 leff31 leff311+( )β lw31 tp1β tp2β( ) tβ +:=
Am31 2.5= m2
DT3 - 2
t 0.25:= m
lw311 4.73:= m
tp1 0.25:= m
tp2 0.25:= m
tp3 0.3:=m
Am32 tp1 leff32 leff321+ leff321+( )β lw311 tp1β tp2β tp3β( ) tβ +:=
Am32 2.158= m2
DT4 - 1
t 0.25:= m
lw41 3.525:= m
tp1 0.3:= m
tp2 0:= m
tp3 0:=m
Am41 tp1 leff41( )β lw41 tp1β tp2β tp3β( ) tβ +:=
Am41 1.699= m2
DT4 - 2
t 0.25:= m
lw42 0.5:= m
tp1 0.25:= m
mtp2 0:=
tp3 0:= m
Am42 tp1 leff42( )β lw42 tp1β tp2β tp3β( ) tβ +:=
Am42 0.875= m2
DT5 - 1
t 0.25:= m
lw51 0.8:= m
tp1 0.25:= m
mtp2 0:=
tp3 0:= m
Am51 tp1 leff51( )β lw51 tp1β tp2β tp3β( ) tβ +:=
Am51 0.95= m2
DT5 - 2
t 0.25:= m
lw52 3.225:= m
tp1 0:= m
mtp2 0:=
tp3 0.3:= m
Am52 tp1 leff52( )β lw52 tp1β tp2β tp3β( ) tβ +:=
Am52 0.731= m2
DT6 - 1
t 0.25:= m
lw61 5.275:= m
tp1 0.3:= m
mtp2 0.25:=
tp3 0.25:= m
Am61 tp1 leff61 leff611+ leff612+( )β lw61 tp1β tp2β tp3β( ) tβ +:=
Am61 2.641= m2
DT6 -2
t 0.25:= m
lw62 0.8:= m
tp1 0.25:= m
tp2 0:= m
tp3 0:= m
Am62 tp1 leff62( )β lw62 tp1β tp2β tp3β( ) tβ +:=
Am62 0.775= m2
DT6 - 3
t 0.25:= m
lw63 3.225:= m
tp1 0:= m
tp2 0:= m
tp3 0.3:= m
Am63 tp1 leff63( )β lw63 tp1β tp2β tp3β( ) tβ +:=
Am63 0.731= m2
DT7 -1
t 0.25:= m
lw71 2.825:= m
tp1 0.3:= m
tp2 0:= m
tp3 0:= m
Am71 tp1 leff71( )β lw71 tp1β tp2β tp3β( ) tβ +:=
Am71 1.389= m2
DT7 - 2
t 0.25:= m
lw72 5.875:= m
tp1 0.25:= m
tp2 0.3:= m
tp3 0:= m
Am72 tp1 leff72 leff721+( )β lw72 tp1β tp2β tp3β( ) tβ +:=
Am72 2.356= m2
DT8
t 0.25:= m
lw8 10.3:= m
tp1 0.3:= m
tp2 0.25:= m
tp3 0.3:= m
Am8 tp1 leff81 leff82+ leff83+( )β lw8 tp1β tp2β tp3β( ) tβ +:=
Am8 3.912= m2
Aria activa la forta taietoare
DT1
t 0.3:= m
Av1 t lw1β :=
Av1 3.39= m2
DT2 1β DT2 2β DT2 3β
t 0.25:= m t 0.25:= m t 0.25:= m
Av21 t lw21β := Av22 t lw22β := Av23 t lw23β :=
Av21 0.838= m2
Av22 0.506= m2
Av23 1.058= m2
DT3 1β DT3 2β
t 0.25:= m t 0.25:= m
Av31 t lw31β := Av311 t lw311β :=
Av31 1.183= m2
Av311 1.183= m2
DT4 1β DT4 2β
t 0.25:= m t 0.25:= m
Av41 t lw41β := Av42 t lw42β :=
Av41 0.881= m2
Av42 0.125= m2
DT5 1β DT5 2β
t 0.25:= m t 0.25:= m
Av51 t lw51β := Av52 t lw52β :=
Av51 0.2= m2
Av52 0.806= m2
DT6 1β DT6 2β DT6 3β
t 0.25:= m t 0.25:= m t 0.25:= m
Av61 t lw61β := Av62 t lw62β := Av63 t lw63β :=
Av61 1.319= m2
Av62 0.2= m2
Av63 0.806= m2
DT7 1β DT7 2β
t 0.25:= m t 0.25:= m
Av71 t lw71β := Av72 t lw72β :=
Av71 0.706= m2
Av72 1.469= m2
DT8
t 0.3:= m
Av8 t lw8β :=
Av8 3.09= m2
Pozitia centrului de greutate
DT1
yg11 5.7:= m
DT2 1β DT2 2β DT2 3β
yg12 2.49:= m yg22 0.974:= m yg23 1.3:= m
DT3 1β DT3 2β
yg31 3.31:= m yg32 2.71:= m
DT4 1β DT4 2β
yg41 2.72:= m yg42 0.18:= m
DT5 1β DT5 2β
yg51 0.82:= m yg52 0.89:= m
DT6 1β DT6 2β DT6 3β
yg61 2.77:= m yg62 0.79:= m yg63 1.07:= m
DT7 1β DT7 2β
yg71 2.22:= m yg72 2.69:= m
Momentele de inertie ale montantilor
DT1
Im116340883270.8287
108
63.409=:= m4
DT2 1β
Im21173230248.0657
108
1.732=:= m4
DT2 2β
Im2251396433.5249
108
0.514=:= m4
DT2 3β
Im23328650286.1803
108
3.287=:= m4
DT3 1β
Im311273263548.5361
108
12.733=:= m4
DT3 2β
Im321091323645.7214
108
10.913=:= m4
DT4 1β
Im41254832088.9325
108
2.548=:= m4
DT4 2β
Im4271582031.2499
108
0.716=:= m4
DT5 1β
Im5171621093.7500
108
0.716=:= m4
DT5 2β
Im52207530458.8246
108
2.075=:= m4
DT6 1β
Im61899480639.1248
108
8.995=:= m4
DT6 2β
Im6236764678.9627
108
0.368=:= m4
DT6 3β
Im63191367359.6916
108
1.914=:= m4
DT7 1β
Im71137221820.9449
108
1.372=:= m4
DT7 2β
Im721228005955.8220
108
12.28=:= m4
DT8
Im84580874773.2824
108
45.809=:= m4
Pozitia centrului de greutate pentru intreaga diafragma
DT1 DT3 DT5 DT7
yg1 5.7:= m yg3 6.56:= m yg5 2.5:= m yg7 5.06:= m
DT4DT2 DT6 DT8
yg4 2.79:= myg2 4.56:= m yg6 6.85:= m yg7 5.16:= m
Momente de inertie pentru intreaga diafragma
DT1
Im1x6340883270.8287
108
63.409=:= m4
DT2
Im2x10574258361.5741
108
105.743=:= m4
DT3
Im3x10998181186.4256
108
109.982=:= m4
DT4
Im4x1238297604.0524
108
12.383=:= m4
DT5
Im5x1258843236.0877
108
12.588=:= m4
DT6
Im6x10724143987.1588
108
107.241=:= m4
DT7
Im7x5605907220.3889
108
56.059=:= m4
DT8
Im8x4580874773.2824
108
45.809=:= m4
4.3 Calculul caracteristicilor geometrice pentru rigla
Aria activa la compresiune excentrica
Pentru usa 1(m) x 2.1(m)
lp1 0.55= m
hpl 0.13:= m
t 0.25:= m
hr 0.93:= m
Ar1 lp1 hplβ t hr hplβ( )β + 0.272=:= m2
Pentru usa 0.7(m) x 2.1(m)
lp2 0.46= m
hp2 0.13:= m
t 0.25:= m
hr 0.93:= m
Ar1 lp2 hp2β t hr hplβ( )β + 0.26=:= m2
Aria activa la forta taietoare
Av hr tβ 0.233=:= m2
Pozitia centrului de greutate
Pentru usa 1(m) x 2.1(m)
ygp1 0.52:= m
Pentru usa 0.7(m) x 2.1(m)
ygp2 0.51:= m
Moment de inertie
Pentru usa 1(m) x 2.1(m)
Ip12215029.4642
108
0.022=:= m4
Pentru usa 0.7(m) x 2.1(m)
Ip2209614
108
2.096 103β
Γ=:= m4
CALCULUL CARACTERISTICILOR DE RIGIDITATE PENTRU O DIAFRAGMA CU 2
SIRURI DE GOLURI
CADRU REAL
Rigiditatea montantilor la distorsiune
Im21 1.732= m4
Im22 0.514= m4
Im23 3.287= m4
He 3.13:= m
km1
Im21
He
0.553=:= m3Em
km2
Im22
He
0.164=:= m3Em
km3
Im23
He
1.05=:= m3Em
Rigiditatea riglei la distorsiune
L12 5:= m
l0 0.7:= m
a 0.35 hrβ 0.325=:=
lrd l0 2 aβ + 1.351=:= m
ΞΌ1
130 Ip2β ( )Av lrd
2β
+
0.871=:=
kr1
6 Ip2β ( )L12
L12
lrd
3
β ΞΌβ 0.111=:= m3Erβ
L23 6:= m
l0 1:= m
a 0.35 hrβ 0.325=:=
lrd l0 2 aβ + 1.651=:= m
ΞΌ1
130 Ip1β ( )Av lrd
2β
+
0.488=:=
kr2
6 Ip1β ( )L23
L23
lrd
3
β ΞΌβ 0.519=:= m3Erβ
CADRU ECHIVALENT
Rigiditatea montantilor la distorsiune
kme
km1 km2+ km3+( )2
0.884=:= m3
Rigiditatea riglei la distorsiune
kre kr1 kr2+ 0.63=:= m3
Ξ»kre
kme
0.713=:=
L13 11:= m
Am1 1.59:= m2
Am3 1.81:= m2
Ξ³ 1Im21 Im22+ Im23+( )
L132
1
Am1
1
Am3
+
β + 1.054=:=
n 4:=
Ξ± n Ξ» Ξ³β β 3.467=:=
1 Ξ±< 10< diafragma cu goluri mijlocii
a 0.8 0.6β 0.2=:=0.6 .................... 0.176
b 0.205 0.176β 0.029=:=0.713 ...................Ξ·s c 0.713 0.6β 0.113=:=0.8 .....................0.205
a ........................b
c ...................... .x
xc bβ ( )
a0.016=:=
Ξ·s 0.176 x+ 0.192=:=
Moment de inertie global
I0Ξ³
Ξ³ 1βIm21 Im22+ Im23+( )β 107.952=:= m
4
Anet Am1 Am3+ 3.4=:= m4
Ξ·s 0.192=
Ξ½s 10.43:=
n 4:=
He 3.13:= m
H n Heβ 12.52=:= m
Ies
Ξ·s I0β
1 Ξ½s
Ξ·s I0β
Anet H2
β
β +
:=
Ies 14.767= m4
6.3 . Distributia incarcarilor orizontale la diafragme transversale
Fb 1178:= kN
e0 0.58:= m
L 26:= m
ea 0.05 Lβ :=
ea 1.3= m
ls1 e0 ea+:=
ls1 1.88= m
Mts1 Fb ls1β :=
Mts1 2.215 103
Γ= kNm
ls2 ea e0β:=
ls2 0.72= m
Mts2 Fb ls2β :=
Mts2 848.16= kNm
7. Diagrama de efort axial din incarcari gravitationale
7.1. Calculul suprafetelor elementare aferente
S1 0.878:= m2
S2 4.70:= m2
S3 1.13:= m2
S4 2.53:= m2
S5 5.58:= m2
S7 1.62:= m2
S8 0.845:= m2
S9 0.845:= m2
S10 1.62:= m2
S11 7.96:= m2
S12 2.53:= m2
S13 1.12:= m2
S14 7.11:= m2
S15 0.845:= m2
S16 4.47:= m2
S17 1.53:= m2
S6 0.882:= m2
S18 0.657:= m2
S19 0.660:= m2
S20 0.848:= m2
S21 6.38:= m2
S22 1.53:= m2
7.2. Incarcarea transmisa la plansee
Diafragma 1-DT1 -Diafragma plina
Trama 1
gpc 4.56:= kN /mp qk1 3:= kN /mp gt 8.08:= kN /mpgpr 5.45:= kN / mp
qkt 1.13:= kN /mpgpd 2.42:= kN /mp
gprbaie 5.49:= kN / mp
Apc1 S3 S4+ 2.94+ 2.97+ 9.57=:= mp
Aprbaie S7 2.37+ 3.99=:= mp
Apr S1 S8+ 1.48+ 3.203=:= mp
gmediu1
gpc Apc1β ( ) gpr Aprβ ( )+ gprbaie Aprbaieβ ( )+
Apc1 Aprbaie+ Apr+:=
gmediu1 4.951= kN / mp
gmediuTRAMA1 gmediu1 gpd+ 0.3 qk1β + 8.271=:= kN /mp
nivel curent
i1 S1 S2+ S3+ S4+ S5+ S7+ S8+( ) gmediuTRAMA1β 142.955=:= kN
planseu terasa
Qtr1 S1 S2+ S3+ S4+ S5+ S7+ S8+( ) gt 0.4 qktβ +( )β 147.459=:= kN
Trama 2
gpc 4.56:= kN /mp qk1 3:= kN /mp gt 8.08:= kN /mpgpr 5.45:= kN / mp
qkt 1.13:= kN /mpgpd 2.42:= kN /mp
gprbaie 5.49:= kN / mp
Apc2 S12 S13+ S9+ S15+ 5.12+ 5.12+ 1.69+ 17.27=:= mp
Aprbaie2 S10 2.54+ 4.16=:= mp
Apr2 0 0=:= mp
gmediu2
gpc Apc2β ( ) gpr Apr2β ( )+ gprbaie Aprbaie2β ( )+
Apc2 Aprbaie2+ Apr2+:=
gmediu2 4.741= kN / mp
gmediuTRAMA2 gmediu2 gpd+ 0.3 qk1β + 8.061=:= kN /mp
nivel curent
i2 S9 S10+ S11+ S12+ S13+ S14+ S15+( ) gmediuTRAMA2β 177.574=:= kN
planseu terasa
Qtr2 S9 S10+ S11+ S12+ S13+ S14+ S15+( ) gt 0.4 qktβ +( )β 187.96=:= kN
Greutatea proprie pe nivel
gzidarie 1.479:= kN /mp
Ξ³beton 25:=
Azidarie1 12.9 15.63+ 3.96 2β ( )+ 4.91+ 41.36=:= mp
volumul centurii din beton armat
Vc1 11.2 0.17β 0.3β ( ) 2 1.5 0.17β 0.3β ( )+ 1.8 0.17β 0.3β ( )+ 0.816=:= mc
volumul buiandrugilor
Vb1 0.3 0.33β 0.4β 0.04=:= mc
volumul stalpisorilor din beton armat
Vs1 0.25 0.25β 2.73β ( ) 3β 0.512=:= mc
GDT1 Azidarie1 gzidarieβ Vc1 Vb1+ Vs1+( ) Ξ³betonβ +:=
GDT1 95.358= kN
Diafragma 2 -DT2 -Diafragma cu goluri
Trama 3
gpc 4.56:= kN /mp qk1 3:= kN /mp gt 8.08:= kN /mpgpr 5.45:= kN / mp
qkt 1.13:= kN /mpgpd 2.42:= kN /mp
gprbaie 5.49:= kN / mp
Apc3 S17 2.79+ 4.32=:= mp
Aprbaie3 0 0=:= mp
Apr3 S6 S18+ 1.44+ 2.979=:= mp
gmediu3
gpc Apc3β ( ) gpr Apr3β ( )+ gprbaie Aprbaie3β ( )+
Apc3 Aprbaie3+ Apr3+:=
gmediu3 4.923= kN / mp
gmediuTRAMA3 gmediu3 gpd+ 0.3 qk1β + 8.243=:= kN /mp
nivel curent
i3 S16 S17+ S18+ S6+( ) gmediuTRAMA3β 62.146=:= kN
planseu terasa
Qtr3 S16 S17+ S18+ S6+( ) gt 0.4 qktβ +( )β 64.323=:= kN
Trama 4
gpc 4.56:= kN /mp qk1 3:= kN /mp gt 8.08:=gpr 5.45:= kN / mp
qkt 1.13:= kN /mpgpd 2.42:= kN /mp
gprbaie 5.49:= kN / mp
Apc4 S19 S20+ S22+ 1.62+ 4.52+ 9.178=:= mp
Aprbaie4 0 0=:= mp
Apr4 0 0=:= mp
gmediu4
gpc Apc4β ( ) gpr Apr4β ( )+ gprbaie Aprbaie4β ( )+
Apc4 Aprbaie4+ Apr4+:=
gmediu4 4.56= kN / mp
gmediuTRAMA4 gmediu4 gpd+ 0.3 qk1β + 7.88=:= kN /mp
nivel curent
i4 S19 S20+ S21+ S22+( ) gmediuTRAMA4β 74.214=:= kN
planseu terasa
Qtr4 S19 S20+ S21+ S22+( ) gt 0.4 qktβ +( )β 80.354=:= kN
Greutatea proprie pe nivel
gzidarie 1.479:= kN /mp
Ξ³beton 25:=
Azidarie2 8.62 1.86+ 2.48+ 9.92+ 2 4.04 2.6+( )β + 1.93+ 1.93+ 40.02=:=
volumul centurii din beton armat
Vc2 11.2 0.17β 0.3β ( ) 2 2.75 0.17β 0.3β ( )+ 1.85 0.17β 0.3β ( )+ 0.946=:= mc
volumul buiandrugilor
Vb2 0.25 0.63β 1.5β 0.25 0.63β 1.8β + 0.25 0.33β 0.175β + 0.25 0.33β 0.4β + 2 0.25β 0.63β 0.4β + 0.693=:= mc
volumul stalpisorilor din beton armat
Vs2 0.25 0.25β 2.73β ( ) 3β 0.512=:= mc
GDT2 Azidarie2 gzidarieβ Vc2 Vb2+ Vs2+( ) Ξ³betonβ +:=
GDT2 112.967= kN
Rezultanta eforturilor axiale la nivelul ,,0''
n 4:= niveluri
NGDT1 Qtr1 Qtr2+ n 1β( ) i1 i2+( )β + n GDT1β + 1.678 103
Γ=:= kN
NGDT2 Qtr3 Qtr4+ n 1β( ) i3 i4+( )β + n GDT2β + 1.006 103
Γ=:= kN
9. Determinarea eforturilor din incarcari orizontale (seism)
MEd ,VEd,NEd pentru o diafragma plina (DT1) si o diafragma cu goluri (DT2)
9.1 Diafragma plina
DT1
F1 28.89:= kN
F2 57.78:= kN
F3 86.67:= kN
F4 115.56:= kN
F5 144.45:= kN
he 3.13:= m
Ms1 F5 heβ 452.128=:= kNm
Ms2 F5 2β heβ F4 heβ + 1.266 103
Γ=:= kNm
Ms3 F5 3β heβ F4 2β he+ F3 heβ + 2.351 103
Γ=:= kNm
Ms4 F5 4β heβ F4 3β he+ F3 2β he+ F2 heβ + 3.617 103
Γ=:= kNm
Ms5 F5 5β heβ F4 4β he+ F3 3β he+ F2 2β he+ F1 heβ + 4.973 103
Γ=:= kNm
Ts1 F5 144.45=:= kN
Ts2 F5 F4+ 260.01=:= kN
Ts3 F5 F4+ F3+ 346.68=:= kN
Ts4 F5 F4+ F3+ F2+ 404.46=:= kN
Ts5 F5 F4+ F3+ F2+ F1+ 433.35=:= kN
9.2 Diafragma cu goluri
Cadru inlocuitor
Montanti
qs 23.93:= kN / m
H 12.52:= m
ms43
n 4=Ξ» 0.713=Ξ³ 1.054=
pentru Ξ» = 0.6
1................. 2.9
1.054.................Ξ³43
1.1 ................2.62
a 1.1 1β 0.1=:= a .......................b
c .......................xb 2.9 2.62β 0.28=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.151=:=
Ξ³43 2.9 xβ 2.749=:=
pentru Ξ» = 0.8
1................. 2.83
1.054.................Ξ³43
1.1 ................2.54
a 1.1 1β 0.1=:= a .......................b
c .......................xb 2.54 2.83β 0.29β=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.157β=:=
Ξ³431 x 2.83+ 2.673=:=
0.6 ........................ 2.749
0.713 .................... ms430.8 .........................2.987
a 0.8 0.6β 0.2=:=
b Ξ³431 Ξ³43β 0.075β=:=
c 0.713 0.6β 0.113=:=
xc bβ ( )
a0.043β=:=
ms43 x Ξ³43+ 2.706=:=
Mme43
qs H2
β
100ms43β 101.511=:= kNm
ms34
n 4=Ξ» 0.713=Ξ³ 1.054=
pentru Ξ» = 0.6
1................. 0.23β1.054.................Ξ³34
1.1 ................0.51
a 1.1 1β 0.1=:= a .......................b
c .......................xb 0.51 0.23β( )β 0.74=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.4=:=
Ξ³34 0.23β x+ 0.17=:=
pentru Ξ» = 0.8
1................. 0.3
1.054.................Ξ³43
1.1 ................0.58
a 1.1 1β 0.1=:= a .......................b
c .......................xb 0.58 0.3β 0.28=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.151=:=
Ξ³341 0.3 x+ 0.451=:=
0.6 ........................ 0.17
0.713 .................... ms340.8 .........................0.451
a 0.8 0.6β 0.2=:=
b Ξ³341 Ξ³34β 0.282=:=
c 0.713 0.6β 0.113=:=
xc bβ ( )
a0.159=:=
ms34 x Ξ³34+ 0.329=:=
Mme34
qs H2
β
100ms34β 12.33=:= kNm
ms32
n 4=Ξ» 0.713=Ξ³ 1.054=
pentru Ξ» = 0.6
1................. 3.47
1.054.................Ξ³32
1.1 ................2.9
a 1.1 1β 0.1=:= a .......................b
c .......................xb 2.9 3.47β 0.57β=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.308β=:=
Ξ³32 3.47 x+ 3.162=:=
pentru Ξ» = 0.8
1................. 3.54
1.054.................Ξ³43
1.1 ................2.95
a 1.1 1β 0.1=:= a .......................b
c .......................xb 2.95 3.54β 0.59β=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.319β=:=
Ξ³321 3.54 x+ 3.221=:=
0.6 ........................ 3.162
0.713 .................... ms320.8 .........................3.221
a 0.8 0.6β 0.2=:=
b Ξ³321 Ξ³32β 0.059=:=
c 0.713 0.6β 0.113=:=
xc bβ ( )
a0.033=:=
ms32 x Ξ³32+ 3.196=:=
Mme32
qs H2
β
100ms32β 119.87=:= kNm
ms23
n 4=Ξ» 0.713=Ξ³ 1.054=
pentru Ξ» = 0.6
1................. 2
1.054.................Ξ³23
1.1 ................2.57
a 1.1 1β 0.1=:= a .......................b
c .......................xb 2.57 2β 0.57=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.308=:=
Ξ³23 2 x+ 2.308=:=
pentru Ξ» = 0.8
1................. 1.93
1.054.................Ξ³43
1.1 ................2.52
a 1.1 1β 0.1=:= a .......................b
c .......................xb 2.52 1.93β 0.59=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.319=:=
Ξ³231 1.93 x+ 2.249=:=
0.6 ........................ 2.52
0.713 .................... ms320.8 .........................2.249
a 0.8 0.6β 0.2=:=
b Ξ³231 Ξ³23β 0.059β=:=
c 0.713 0.6β 0.113=:=
xc bβ ( )
a0.033β=:=
ms23 Ξ³23 xβ 2.341=:=
Mme23
qs H2
β
100ms23β 87.821=:= kNm
ms21
n 4=Ξ» 0.713=Ξ³ 1.054=
pentru Ξ» = 0.6
1................. 2.13
1.054.................Ξ³21
1.1 ................1.3
a 1.1 1β 0.1=:= a .......................b
c .......................xb 1.3 2.13β 0.83β=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.448β=:=
Ξ³21 2.13 x+ 1.682=:=
pentru Ξ» = 0.8
1................. 2.56
1.054.................Ξ³21
1.1 ................1.66
a 1.1 1β 0.1=:= a .......................b
c .......................xb 2.56 1.66β 0.9=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.486=:=
Ξ³211 2.56 xβ 2.074=:=
0.6 ........................ 1.682
0.713 .................... ms210.8 .........................3.054
a 0.8 0.6β 0.2=:=
b Ξ³211 Ξ³21β 0.392=:=
xc bβ ( )
a0.106=:=
ms21 x Ξ³21+ 1.788=:=
Mme21
qs H2
β
100ms21β 67.057=:= kNm
ms12
n 4=Ξ» 0.713=Ξ³ 1.054=
pentru Ξ» = 0.6
1................. 4.9
1.054.................Ξ³12
1.1 ................5.73
a 1.1 1β 0.1=:= a .......................b
c .......................xb 5.73 4.9β 0.83=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.448=:=
Ξ³12 4.9 x+ 5.348=:=
pentru Ξ» = 0.8
1................. 4.47
1.054.................Ξ³12
1.1 ................5.37
a 1.1 1β 0.1=:= a .......................b
c .......................xb 5.37 4.47β 0.9=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.486=:=
Ξ³121 4.47 x+ 4.956=:=
0.6 ........................ 5.348
0.713 .................... ms210.8 .........................4.956
a 0.8 0.6β 0.2=:=
b Ξ³121 Ξ³12β 0.392β=:=
c 0.713 0.6β 0.113=:=
xc bβ ( )
a0.222β=:=
ms12 Ξ³12 x+ 5.127=:=
Mme12
qs H2
β
100ms12β 192.301=:= kNm
ms10
n 4=Ξ» 0.713=Ξ³ 1.054=
pentru Ξ» = 0.6
1................. 1.6β1.054.................Ξ³10
1.1 ................-2.6
a 1.1 1β 0.1=:= a .......................b
c .......................xb 2.6β 1.6β( )β 1β=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.54β=:=
Ξ³10 1.6β x+ 2.14β=:=
pentru Ξ» = 0.8
1................. 0.75β1.054.................Ξ³10
1.1 ................1.05
a 1.1 1β 0.1=:= a .......................b
c .......................xb 1.05 0.75β( )β 1.8=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.972=:=
Ξ³101 0.75β x+ 0.222=:=
0.6 ........................ -2.14
0.713 .................... ms210.8 .........................0.222
a 0.8 0.6β 0.2=:=
b Ξ³101 Ξ³10β 2.362=:=
c 0.713 0.6β:=
xc bβ ( )
a1.335=:=
ms10 x Ξ³21+ 3.016=:=
Mme10
qs H2
β
100ms10β 113.144=:= kNm
ms01
n 4=Ξ» 0.713=Ξ³ 1.054=
pentru Ξ» = 0.6
1................. 9.41
1.054.................Ξ³01
1.1 ................10.4
a 1.1 1β 0.1=:= a .......................b
c .......................xb 10.4 9.41β 0.99=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.535=:=
Ξ³01 9.41 x+ 9.945=:=
pentru Ξ» = 0.8
1................. 8.56
1.054.................Ξ³01
1.1 ................9.67
a 1.1 1β 0.1=:= a .......................b
c .......................xb 9.67 8.56( )β 1.11=:=c 1.054 1β 0.054=:=
xc bβ ( )
a0.599=:=
Ξ³011 8.56 x+ 9.159=:=
0.6 ........................ 9.945
0.713 .................... ms010.8 .........................9.159
a 0.8 0.6β 0.2=:=
b Ξ³011 Ξ³01β 0.785β=:=
c 0.713 0.6β 0.113=:=
xc bβ ( )
a0.444β=:=
ms01 x Ξ³01+ 9.501=:=
Mme01
qs H2
β
100ms01β 356.385=:= kNm
Cadrul real (2 siruri) de goluri
Mm143
km1
kme
Mme43β 63.566=:= kNm Mm134
km1
kme
Mme34β 7.721=:= kNm
Mm243
km2
kme
Mme43β 18.86=:= kNm Mm234
km2
kme
Mme34β 2.291=:= kNm
Mm343
km3
kme
Mme43β 120.596=:= kNm Mm334
km3
kme
Mme34β 14.648=:= kNm
Mm132
km1
kme
Mme32β 75.062=:= kNm Mm123
km1
kme
Mme23β 54.993=:= kNm
Mm232
km2
kme
Mme32β 22.271=:= kNm Mm223
km2
kme
Mme23β 16.316=:= kNm
Mm332
km3
kme
Mme32β 142.407=:= kNm Mm323
km3
kme
Mme23β 104.333=:= kNm
Mm121
km1
kme
Mme21β 41.991=:= kNm Mm112
km1
kme
Mme12β 120.418=:= kNm
Mm221
km2
kme
Mme21β 12.458=:= kNm Mm212
km2
kme
Mme12β 35.727=:= kNm
Mm321
km3
kme
Mme21β 79.665=:= kNm Mm312
km3
kme
Mme12β 228.456=:= kNm
Mm110
km1
kme
Mme10β 70.85=:= kNm Mm101
km1
kme
Mme01β 223.167=:= kNm
Mm210
km2
kme
Mme10β 21.021=:= kNm Mm201
km2
kme
Mme01β 66.212=:= kNm
Mm310
km3
kme
Mme10β 134.416=:= kNm Mm301
km3
kme
Mme01β 423.39=:= kNm
M4r1 Mm143β 63.566β=:= kNm
M4r2sup Mm243βkr1
kr1 kr2+β 3.324β=:= kNm
M4r2inf Mm243βkr2
kr1 kr2+β 15.535β=:= kNm
M4r3 Mm343β 120.596β=:= kNm
M3r1 Mm134 Mm132+( )β 82.783β=:= kNm
M3r2sup Mm234 Mm232+( )βkr1
kr1 kr2+β 4.329β=:= kNm
M3r2inf Mm234 Mm232+( )βkr2
kr1 kr2+β 20.232β=:= kNm
M3r3 Mm334 Mm332+( )β 157.055β=:= kNm
M2r1 Mm123 Mm121+( )β 96.984β=:= kNm
M2r2sup Mm223 Mm221+( )βkr1
kr1 kr2+β 5.072β=:= kNm
M2r2inf Mm223 Mm221+( )βkr2
kr1 kr2+β 23.703β=:= kNm
M2r3 Mm323 Mm321+( )β 183.997β=:= kNm
M1r1 Mm112 Mm110+( )β 191.269β=:= kNm
M1r2sup Mm212 Mm210+( )βkr1
kr1 kr2+β 10.003β=:= kNm
M1r2inf Mm212 Mm210+( )βkr2
kr1 kr2+β 46.745β=:= kNm
M1r3 Mm312 Mm310+( )β 362.872β=:= kNm