39
4. Determinarea sectiunilor active ale diafragmelor transversale 4.1.1. Sectiuni active montanti MONTANT 1, DT1 MONTANT 2,3, DT1 t 11 0.30 := m t 12 0.30 := m d gol11 1.5 := m d gol12 1.8 := m Ξ”bdr 11 min 6 t 11 β‹… d gol11 , ( ) := Ξ”bdr 12 min 6 t 12 β‹… d gol12 , ( ) := Ξ”bdr 11 1.5 = Ξ”bdr 12 1.8 = Ξ”bstg 11 0 := Ξ”bstg 12 0 := leff 11 Ξ”bdr 11 t 11 + Ξ”bstg 11 + := leff 12 Ξ”bdr 12 t 12 + Ξ”bstg 12 + := leff 11 1.8 = m leff 12 2.1 = m MONTANT 1, DT2 t 21 0.25 := m d gol21 1.725 := m Ξ”bstg 21 min 6 t 21 β‹… d gol21 , ( ) := Ξ”bstg 21 1.5 = Ξ”bdr 21 1 := leff 21 Ξ”bdr 21 t 21 + Ξ”bstg 21 + := leff 21 2.75 = m MONTANT 2, DT2 t 22 0.25 := m d gol22 0.8 := m Ξ”bstg 22 min 6 t 22 β‹… d gol22 , ( ) := Ξ”bstg 22 0.8 = Ξ”bdr 22 0.8 := leff 22 Ξ”bdr 22 t 22 + Ξ”bstg 22 + := leff 22 1.85 = m

Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

  • Upload
    alina

  • View
    19

  • Download
    1

Embed Size (px)

DESCRIPTION

hgj

Citation preview

Page 1: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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

βˆ†bdr11 min 6 t11β‹… dgol11, ( ):= βˆ†bdr12 min 6 t12β‹… dgol12, ( ):=

βˆ†bdr11 1.5= βˆ†bdr12 1.8=

βˆ†bstg11 0:= βˆ†bstg12 0:=

leff11 βˆ†bdr11 t11+ βˆ†bstg11+:= leff12 βˆ†bdr12 t12+ βˆ†bstg12+:=

leff11 1.8= m leff12 2.1= m

MONTANT 1, DT2

t21 0.25:= m

dgol21 1.725:= m

βˆ†bstg21 min 6 t21β‹… dgol21, ( ):=

βˆ†bstg21 1.5=

βˆ†bdr21 1:=

leff21 βˆ†bdr21 t21+ βˆ†bstg21+:=

leff21 2.75= m

MONTANT 2, DT2

t22 0.25:= m

dgol22 0.8:= m

βˆ†bstg22 min 6 t22β‹… dgol22, ( ):=

βˆ†bstg22 0.8=

βˆ†bdr22 0.8:=

leff22 βˆ†bdr22 t22+ βˆ†bstg22+:=

leff22 1.85= m

Page 2: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

MONTANT 3, DT2

t23 0.25:= m

dgolstg23 1.725:= m

βˆ†bstg23 min 6 t23β‹… dgolstg23, ( ):=

βˆ†bstg23 1.5=

dgoldr23 1:= m

βˆ†bdr23 min 6 t23β‹… dgoldr23, ( ):=

βˆ†bdr23 1=

leff23 βˆ†bdr23 t23+ βˆ†bstg23+:=

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

βˆ†bstg31 min 6 t31β‹… dgolstg31, ( ):= βˆ†bstg311 min 6 t31β‹… dgolstg31, ( ):=

βˆ†bstg31 1.275= m βˆ†bstg311 1.275= m

dgoldr31 1:= m dgoldr311 0.8:= m

βˆ†bdr31 min 6 t31β‹… dgoldr31, ( ):= βˆ†bdr311 min 6 t311β‹… dgoldr311, ( ):=

βˆ†bdr31 1= βˆ†bdr311 0.8=

leff31 βˆ†bdr31 t31+ βˆ†bstg31+:= leff311 βˆ†bdr311 t311+ βˆ†bstg311+:=

leff31 2.525= m leff311 2.325= m

Page 3: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

MONTANT 2, DT3 MONTANT 2.1, DT3

t32 0.25:= m t321 0.25:= m

dgolstg32 0:= m dgolstg321 1.225:= m

βˆ†bstg32 0:= βˆ†bstg321 min 6 t321β‹… dgolstg321, ( ):=

βˆ†bstg32 0=βˆ†bstg321 1.225= m

dgoldr32 1.5:= m dgoldr321 0:= m

βˆ†bdr32 min 6 t32β‹… dgoldr32, ( ):= βˆ†bdr321 min 6 t321β‹… dgoldr321, ( ):=

βˆ†bdr32 1.5= βˆ†bdr321 0=

leff32 βˆ†bdr32 t32+ βˆ†bstg32+:= leff321 βˆ†bdr321 t321+ βˆ†bstg321+:=

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

βˆ†bstg41 min 6 t41β‹… dgolstg41, ( ):=βˆ†bstg3211 min 6 t3211β‹… dgolstg3211, ( ):=

βˆ†bstg41 1.225= mβˆ†bstg3211 0= m

dgoldr41 1.5:= mdgoldr3211 1.5:= m

βˆ†bdr41 min 6 t41β‹… dgoldr41, ( ):=βˆ†bdr3211 min 6 t3211β‹… dgoldr3211, ( ):=

βˆ†bdr41 1.5= mβˆ†bdr3211 1.5=

leff41 βˆ†bdr41 t41+ βˆ†bstg41+:=leff3211 βˆ†bdr3211 t3211+ βˆ†bstg3211+:=

leff41 2.975= mleff3211 1.75= m

Page 4: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

MONTANT 2, DT4

t42 0.25:= m

dgolstg42 1.925:= m

βˆ†bstg42 min 6 t42β‹… dgolstg42, ( ):=

βˆ†bstg42 1.5= m

dgoldr42 1.5:= m nuavemgol( )

βˆ†bdr42 min 6 t42β‹… dgoldr42, ( ):=

βˆ†bdr42 1.5= m

leff42 βˆ†bdr42 t42+ βˆ†bstg42+:=

leff42 3.25= m

MONTANT 2, DT5MONTANT 1, DT5

t52 0.25:= mt51 0.25:= m

dgolstg52 1.725:= mdgolstg51 1.5:= m nuavemgol( )

βˆ†bstg52 min 6 t52β‹… dgolstg52, ( ):=βˆ†bstg51 min 6 t51β‹… dgolstg51, ( ):=

βˆ†bstg52 1.5= mβˆ†bstg51 1.5= m

dgoldr52 1:= mdgoldr51 1.95:= m

βˆ†bdr52 min 6 t52β‹… dgoldr52, ( ):=βˆ†bdr51 min 6 t51β‹… dgoldr51, ( ):=

βˆ†bdr52 1= mβˆ†bdr51 1.5= m

leff52 βˆ†bdr52 t52+ βˆ†bstg52+:=leff51 βˆ†bdr51 t51+ βˆ†bstg51+:=

leff52 2.75= mleff51 3.25= m

Page 5: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

MONTANT 1, DT6 MONTANT 1.1, DT6

t61 0.3:= m t611 0.3:= m

dgolstg61 1.725:= m dgolstg611 0:= m

βˆ†bstg61 min 6 t61β‹… dgolstg61, ( ):= βˆ†bstg611 min 6 t611β‹… dgolstg611, ( ):=

βˆ†bstg61 1.725= m βˆ†bstg611 0= m

dgoldr61 0:= m dgoldr611 1:= m

βˆ†bdr61 min 6 t61β‹… dgoldr61, ( ):= βˆ†bdr611 min 6 t611β‹… dgoldr611, ( ):=

βˆ†bdr61 0= m βˆ†bdr611 1= m

leff61 βˆ†bdr61 t61+ βˆ†bstg61+:= leff611 βˆ†bdr611 t611+ βˆ†bstg611+:=

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

βˆ†bstg612 min 6 t612β‹… dgolstg612, ( ):= βˆ†bstg62 min 6 t62β‹… dgolstg62, ( ):=

βˆ†bstg612 1.5= m βˆ†bstg62 0.8= m

dgoldr612 0:= m dgoldr62 1.5:= m nuavemgol( )

βˆ†bdr612 min 6 t612β‹… dgoldr612, ( ):= βˆ†bdr62 min 6 t62β‹… dgoldr62, ( ):=

βˆ†bdr612 0= m βˆ†bdr62 1.5= m

leff612 βˆ†bdr612 t612+ βˆ†bstg612+:= leff62 βˆ†bdr62 t62+ βˆ†bstg62+:=

leff612 1.75= m leff62 2.55= m

Page 6: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

MONTANT 3, DT6

t63 0.25:= m

dgolstg63 1.25:= m

βˆ†bstg63 min 6 t63β‹… dgolstg63, ( ):=

βˆ†bstg63 1.25= m

dgoldr63 1:= m

βˆ†bdr63 min 6 t63β‹… dgoldr63, ( ):=

βˆ†bdr63 1= m

leff63 βˆ†bdr63 t63+ βˆ†bstg63+:=

leff63 2.5= m

MONTANT 1, DT7

t71 0.25:= m

dgolstg71 1.275:= m

βˆ†bstg71 min 6 t71β‹… dgolstg71, ( ):=

βˆ†bstg71 1.275= m

dgoldr71 1:= m

βˆ†bdr71 min 6 t71β‹… dgoldr71, ( ):=

βˆ†bdr71 1= m

leff71 βˆ†bdr71 t71+ βˆ†bstg71+:=

leff71 2.525= m

Page 7: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

MONTANT 2, DT7 MONTANT 2.1, DT7

t72 0.25:= m t721 0.25:= m

dgolstg72 1.5:= m dgolstg721 1.26:= m

βˆ†bstg72 min 6 t72β‹… dgolstg72, ( ):= βˆ†bstg721 min 6 t72β‹… dgolstg72, ( ):=

βˆ†bstg72 1.5= m βˆ†bstg721 1.5= m

dgoldr72 0.3:= m dgoldr721 1:= m

βˆ†bdr72 min 6 t72β‹… dgoldr72, ( ):= βˆ†bdr721 min 6 t72β‹… dgoldr72, ( ):=

βˆ†bdr72 0.3= m βˆ†bdr721 0.3= m

leff72 βˆ†bdr72 t72+ βˆ†bstg72+:= leff721 βˆ†bdr72 t72+ βˆ†bstg72+:=

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

βˆ†bstg81 min 6 t81β‹… dgolstg81, ( ):= βˆ†bstg82 min 6 t82β‹… dgolstg82, ( ):=

βˆ†bstg81 1.24= m βˆ†bstg82 1.8= m

dgoldr81 0:= m dgoldr82 0:= m

βˆ†bdr81 min 6 t81β‹… dgoldr81, ( ):= βˆ†bdr82 min 6 t82β‹… dgoldr82, ( ):=

βˆ†bdr81 0= m βˆ†bdr82 0= m

leff81 βˆ†bdr81 t81+ βˆ†bstg81+:= leff82 βˆ†bdr82 t82+ βˆ†bstg82+:=

leff81 1.54= m leff82 2.1= m

Page 8: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

MONTANT 3, DT8

t83 0.3:= m

dgolstg83 1.225:= m

βˆ†bstg83 min 6 t83β‹… dgolstg83, ( ):=

βˆ†bstg83 1.225= m

dgoldr83 0:= m

βˆ†bdr83 min 6 t83β‹… dgoldr83, ( ):=

βˆ†bdr83 0= m

leff83 βˆ†bdr83 t83+ βˆ†bstg83+:=

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

βˆ†bstr1 0.15 l0r1β‹…:= βˆ†bstr2 0.15 l0r2β‹…:=

βˆ†bstr1 0.15= m βˆ†bstr2 0.105= m

βˆ†bdrr1 βˆ†bstr1 0.15=:= m βˆ†bdrr2 βˆ†bstr2 0.105=:= m

lp1 βˆ†bstr1 tr1+ βˆ†bdrr1+:= lp2 βˆ†bstr2 tr2+ βˆ†bdrr2+:=

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‹…βˆ’ tp1βˆ’( ) tβ‹…+:=

Am11 4.845= m2

Page 9: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 tp1βˆ’( ) tβ‹…+:= Am22 tp leff22( )β‹… lw22 tp2βˆ’( ) 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 tp3βˆ’( ) 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 tp1βˆ’ tp2βˆ’( ) 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 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) tβ‹…+:=

Am32 2.158= m2

Page 10: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) 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 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) 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 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) tβ‹…+:=

Am51 0.95= m2

Page 11: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

DT5 - 2

t 0.25:= m

lw52 3.225:= m

tp1 0:= m

mtp2 0:=

tp3 0.3:= m

Am52 tp1 leff52( )β‹… lw52 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) 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 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) 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 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) tβ‹…+:=

Am62 0.775= m2

Page 12: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) 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 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) 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 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) tβ‹…+:=

Am72 2.356= m2

Page 13: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 tp1βˆ’ tp2βˆ’ tp3βˆ’( ) tβ‹…+:=

Am8 3.912= m2

Aria activa la forta taietoare

DT1

t 0.3:= m

Av1 t lw1β‹…:=

Av1 3.39= m2

DT2 1βˆ’ DT2 2βˆ’ DT2 3βˆ’

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 1βˆ’ DT3 2βˆ’

t 0.25:= m t 0.25:= m

Av31 t lw31β‹…:= Av311 t lw311β‹…:=

Av31 1.183= m2

Av311 1.183= m2

DT4 1βˆ’ DT4 2βˆ’

t 0.25:= m t 0.25:= m

Av41 t lw41β‹…:= Av42 t lw42β‹…:=

Av41 0.881= m2

Av42 0.125= m2

Page 14: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

DT5 1βˆ’ DT5 2βˆ’

t 0.25:= m t 0.25:= m

Av51 t lw51β‹…:= Av52 t lw52β‹…:=

Av51 0.2= m2

Av52 0.806= m2

DT6 1βˆ’ DT6 2βˆ’ DT6 3βˆ’

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 1βˆ’ DT7 2βˆ’

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 1βˆ’ DT2 2βˆ’ DT2 3βˆ’

yg12 2.49:= m yg22 0.974:= m yg23 1.3:= m

DT3 1βˆ’ DT3 2βˆ’

yg31 3.31:= m yg32 2.71:= m

DT4 1βˆ’ DT4 2βˆ’

yg41 2.72:= m yg42 0.18:= m

Page 15: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

DT5 1βˆ’ DT5 2βˆ’

yg51 0.82:= m yg52 0.89:= m

DT6 1βˆ’ DT6 2βˆ’ DT6 3βˆ’

yg61 2.77:= m yg62 0.79:= m yg63 1.07:= m

DT7 1βˆ’ DT7 2βˆ’

yg71 2.22:= m yg72 2.69:= m

Momentele de inertie ale montantilor

DT1

Im116340883270.8287

108

63.409=:= m4

DT2 1βˆ’

Im21173230248.0657

108

1.732=:= m4

DT2 2βˆ’

Im2251396433.5249

108

0.514=:= m4

DT2 3βˆ’

Im23328650286.1803

108

3.287=:= m4

DT3 1βˆ’

Im311273263548.5361

108

12.733=:= m4

DT3 2βˆ’

Im321091323645.7214

108

10.913=:= m4

DT4 1βˆ’

Im41254832088.9325

108

2.548=:= m4

Page 16: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

DT4 2βˆ’

Im4271582031.2499

108

0.716=:= m4

DT5 1βˆ’

Im5171621093.7500

108

0.716=:= m4

DT5 2βˆ’

Im52207530458.8246

108

2.075=:= m4

DT6 1βˆ’

Im61899480639.1248

108

8.995=:= m4

DT6 2βˆ’

Im6236764678.9627

108

0.368=:= m4

DT6 3βˆ’

Im63191367359.6916

108

1.914=:= m4

DT7 1βˆ’

Im71137221820.9449

108

1.372=:= m4

DT7 2βˆ’

Im721228005955.8220

108

12.28=:= m4

DT8

Im84580874773.2824

108

45.809=:= m4

Page 17: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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

Page 18: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 hplβˆ’( )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 hplβˆ’( )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 103βˆ’

Γ—=:= m4

Page 19: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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‹…

Page 20: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 0.6βˆ’ 0.2=:=0.6 .................... 0.176

b 0.205 0.176βˆ’ 0.029=:=0.713 ...................Ξ·s c 0.713 0.6βˆ’ 0.113=:=0.8 .....................0.205

Page 21: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

a ........................b

c ...................... .x

xc bβ‹…( )

a0.016=:=

Ξ·s 0.176 x+ 0.192=:=

Moment de inertie global

I0Ξ³

Ξ³ 1βˆ’Im21 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

Page 22: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 e0βˆ’:=

ls2 0.72= m

Mts2 Fb ls2β‹…:=

Mts2 848.16= kNm

Page 23: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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

Page 24: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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

Page 25: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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

Page 26: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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

Page 27: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

Rezultanta eforturilor axiale la nivelul ,,0''

n 4:= niveluri

NGDT1 Qtr1 Qtr2+ n 1βˆ’( ) i1 i2+( )β‹…+ n GDT1β‹…+ 1.678 103

Γ—=:= kN

NGDT2 Qtr3 Qtr4+ n 1βˆ’( ) i3 i4+( )β‹…+ n GDT2β‹…+ 1.006 103

Γ—=:= kN

Page 28: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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

Page 29: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 1βˆ’ 0.1=:= a .......................b

c .......................xb 2.9 2.62βˆ’ 0.28=:=c 1.054 1βˆ’ 0.054=:=

xc bβ‹…( )

a0.151=:=

Ξ³43 2.9 xβˆ’ 2.749=:=

pentru Ξ» = 0.8

1................. 2.83

1.054.................Ξ³43

1.1 ................2.54

a 1.1 1βˆ’ 0.1=:= a .......................b

c .......................xb 2.54 2.83βˆ’ 0.29βˆ’=:=c 1.054 1βˆ’ 0.054=:=

xc bβ‹…( )

a0.157βˆ’=:=

Ξ³431 x 2.83+ 2.673=:=

0.6 ........................ 2.749

0.713 .................... ms430.8 .........................2.987

a 0.8 0.6βˆ’ 0.2=:=

b Ξ³431 Ξ³43βˆ’ 0.075βˆ’=:=

c 0.713 0.6βˆ’ 0.113=:=

Page 30: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

xc bβ‹…( )

a0.043βˆ’=:=

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................. 0.23βˆ’1.054.................Ξ³34

1.1 ................0.51

a 1.1 1βˆ’ 0.1=:= a .......................b

c .......................xb 0.51 0.23βˆ’( )βˆ’ 0.74=:=c 1.054 1βˆ’ 0.054=:=

xc bβ‹…( )

a0.4=:=

Ξ³34 0.23βˆ’ x+ 0.17=:=

pentru Ξ» = 0.8

1................. 0.3

1.054.................Ξ³43

1.1 ................0.58

a 1.1 1βˆ’ 0.1=:= a .......................b

c .......................xb 0.58 0.3βˆ’ 0.28=:=c 1.054 1βˆ’ 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 0.6βˆ’ 0.2=:=

b Ξ³341 Ξ³34βˆ’ 0.282=:=

c 0.713 0.6βˆ’ 0.113=:=

Page 31: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

xc bβ‹…( )

a0.159=:=

ms34 x Ξ³34+ 0.329=:=

Mme34

qs H2

β‹…

100ms34β‹… 12.33=:= kNm

Page 32: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 1βˆ’ 0.1=:= a .......................b

c .......................xb 2.9 3.47βˆ’ 0.57βˆ’=:=c 1.054 1βˆ’ 0.054=:=

xc bβ‹…( )

a0.308βˆ’=:=

Ξ³32 3.47 x+ 3.162=:=

pentru Ξ» = 0.8

1................. 3.54

1.054.................Ξ³43

1.1 ................2.95

a 1.1 1βˆ’ 0.1=:= a .......................b

c .......................xb 2.95 3.54βˆ’ 0.59βˆ’=:=c 1.054 1βˆ’ 0.054=:=

xc bβ‹…( )

a0.319βˆ’=:=

Ξ³321 3.54 x+ 3.221=:=

0.6 ........................ 3.162

0.713 .................... ms320.8 .........................3.221

a 0.8 0.6βˆ’ 0.2=:=

b Ξ³321 Ξ³32βˆ’ 0.059=:=

c 0.713 0.6βˆ’ 0.113=:=

xc bβ‹…( )

a0.033=:=

ms32 x Ξ³32+ 3.196=:=

Mme32

qs H2

β‹…

100ms32β‹… 119.87=:= kNm

Page 33: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 1βˆ’ 0.1=:= a .......................b

c .......................xb 2.57 2βˆ’ 0.57=:=c 1.054 1βˆ’ 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 1βˆ’ 0.1=:= a .......................b

c .......................xb 2.52 1.93βˆ’ 0.59=:=c 1.054 1βˆ’ 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 0.6βˆ’ 0.2=:=

b Ξ³231 Ξ³23βˆ’ 0.059βˆ’=:=

c 0.713 0.6βˆ’ 0.113=:=

xc bβ‹…( )

a0.033βˆ’=:=

ms23 Ξ³23 xβˆ’ 2.341=:=

Mme23

qs H2

β‹…

100ms23β‹… 87.821=:= kNm

Page 34: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 1βˆ’ 0.1=:= a .......................b

c .......................xb 1.3 2.13βˆ’ 0.83βˆ’=:=c 1.054 1βˆ’ 0.054=:=

xc bβ‹…( )

a0.448βˆ’=:=

Ξ³21 2.13 x+ 1.682=:=

pentru Ξ» = 0.8

1................. 2.56

1.054.................Ξ³21

1.1 ................1.66

a 1.1 1βˆ’ 0.1=:= a .......................b

c .......................xb 2.56 1.66βˆ’ 0.9=:=c 1.054 1βˆ’ 0.054=:=

xc bβ‹…( )

a0.486=:=

Ξ³211 2.56 xβˆ’ 2.074=:=

0.6 ........................ 1.682

0.713 .................... ms210.8 .........................3.054

a 0.8 0.6βˆ’ 0.2=:=

b Ξ³211 Ξ³21βˆ’ 0.392=:=

xc bβ‹…( )

a0.106=:=

ms21 x Ξ³21+ 1.788=:=

Mme21

qs H2

β‹…

100ms21β‹… 67.057=:= kNm

Page 35: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 1βˆ’ 0.1=:= a .......................b

c .......................xb 5.73 4.9βˆ’ 0.83=:=c 1.054 1βˆ’ 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 1βˆ’ 0.1=:= a .......................b

c .......................xb 5.37 4.47βˆ’ 0.9=:=c 1.054 1βˆ’ 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 0.6βˆ’ 0.2=:=

b Ξ³121 Ξ³12βˆ’ 0.392βˆ’=:=

c 0.713 0.6βˆ’ 0.113=:=

xc bβ‹…( )

a0.222βˆ’=:=

ms12 Ξ³12 x+ 5.127=:=

Mme12

qs H2

β‹…

100ms12β‹… 192.301=:= kNm

Page 36: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

ms10

n 4=Ξ» 0.713=Ξ³ 1.054=

pentru Ξ» = 0.6

1................. 1.6βˆ’1.054.................Ξ³10

1.1 ................-2.6

a 1.1 1βˆ’ 0.1=:= a .......................b

c .......................xb 2.6βˆ’ 1.6βˆ’( )βˆ’ 1βˆ’=:=c 1.054 1βˆ’ 0.054=:=

xc bβ‹…( )

a0.54βˆ’=:=

Ξ³10 1.6βˆ’ x+ 2.14βˆ’=:=

pentru Ξ» = 0.8

1................. 0.75βˆ’1.054.................Ξ³10

1.1 ................1.05

a 1.1 1βˆ’ 0.1=:= a .......................b

c .......................xb 1.05 0.75βˆ’( )βˆ’ 1.8=:=c 1.054 1βˆ’ 0.054=:=

xc bβ‹…( )

a0.972=:=

Ξ³101 0.75βˆ’ x+ 0.222=:=

0.6 ........................ -2.14

0.713 .................... ms210.8 .........................0.222

a 0.8 0.6βˆ’ 0.2=:=

b Ξ³101 Ξ³10βˆ’ 2.362=:=

c 0.713 0.6βˆ’:=

xc bβ‹…( )

a1.335=:=

ms10 x Ξ³21+ 3.016=:=

Mme10

qs H2

β‹…

100ms10β‹… 113.144=:= kNm

Page 37: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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 1βˆ’ 0.1=:= a .......................b

c .......................xb 10.4 9.41βˆ’ 0.99=:=c 1.054 1βˆ’ 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 1βˆ’ 0.1=:= a .......................b

c .......................xb 9.67 8.56( )βˆ’ 1.11=:=c 1.054 1βˆ’ 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 0.6βˆ’ 0.2=:=

b Ξ³011 Ξ³01βˆ’ 0.785βˆ’=:=

c 0.713 0.6βˆ’ 0.113=:=

xc bβ‹…( )

a0.444βˆ’=:=

ms01 x Ξ³01+ 9.501=:=

Mme01

qs H2

β‹…

100ms01β‹… 356.385=:= kNm

Page 38: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

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

Page 39: Mathcad - Caract de Backuprigiditate Pentru o Diafragma Cu 2 Siruri de Goluri

M4r1 Mm143βˆ’ 63.566βˆ’=:= kNm

M4r2sup Mm243βˆ’kr1

kr1 kr2+β‹… 3.324βˆ’=:= kNm

M4r2inf Mm243βˆ’kr2

kr1 kr2+β‹… 15.535βˆ’=:= kNm

M4r3 Mm343βˆ’ 120.596βˆ’=:= kNm

M3r1 Mm134 Mm132+( )βˆ’ 82.783βˆ’=:= kNm

M3r2sup Mm234 Mm232+( )βˆ’kr1

kr1 kr2+β‹… 4.329βˆ’=:= kNm

M3r2inf Mm234 Mm232+( )βˆ’kr2

kr1 kr2+β‹… 20.232βˆ’=:= kNm

M3r3 Mm334 Mm332+( )βˆ’ 157.055βˆ’=:= kNm

M2r1 Mm123 Mm121+( )βˆ’ 96.984βˆ’=:= kNm

M2r2sup Mm223 Mm221+( )βˆ’kr1

kr1 kr2+β‹… 5.072βˆ’=:= kNm

M2r2inf Mm223 Mm221+( )βˆ’kr2

kr1 kr2+β‹… 23.703βˆ’=:= kNm

M2r3 Mm323 Mm321+( )βˆ’ 183.997βˆ’=:= kNm

M1r1 Mm112 Mm110+( )βˆ’ 191.269βˆ’=:= kNm

M1r2sup Mm212 Mm210+( )βˆ’kr1

kr1 kr2+β‹… 10.003βˆ’=:= kNm

M1r2inf Mm212 Mm210+( )βˆ’kr2

kr1 kr2+β‹… 46.745βˆ’=:= kNm

M1r3 Mm312 Mm310+( )βˆ’ 362.872βˆ’=:= kNm