SCARI elicoidala

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Scara elicoidala dublu incastrata cu vang central si trepte in consola Unghiul de desfasurare b= Unghiul de panta y= Raza(centrul grinzii) R= Inaltime etaj h n = Dimensiuni grinda b= h= Lungime grinda L GR = Incarcare grinda q= Acoperire beton a= b/2r= b/h= 0,8 y 26 27 90 1 30 X r /R 2 = X X /R= Momente incovoietoare si de torsiune date de sarcina exterioara 1kN/ml proiectie oriz pe sistemul de baza m rw =-R 2 Q(1-cosQ) m sw =-R 2 Q(1-sinQ)siny m tw =-R 2 Q(Q-sinQ)cosy Momente incovoietoare si de torsiune in grinda pt X x =1 m rx =RQsinQtgy m sx =Rcosy(sinQ+QcosQtg 2 y) m tx =Rsiny(QcosQ-sinQ) Momente incovoietoare si de torsiune in grinda pt X r =1 m rr =cosQ m ss =sinQsiny m tr =sinQcosy Momentele finale M r =m rw +X X m rx +X r m rr M s =m sw +X X m sx +X r m sr M t =m tw +X X m tx +X r m tr X r /R 2 C = X X /R C = X r = X x = Q= 0 m rw = 0 m rx = 0 m rr = 1 M r = m sw = 0 m sx = 0 m sr = 0 M s = m tw = 0 m tx = 0 m tr = 0 M t = Q= 45 m rw = m rx = m rr = M r = m sw = m sx = m sr = M s = m tw = m tx = m tr = M t = Q= 90 m rw = m rx = m rr = M r = m sw = m sx = m sr = M s = m tw = m tx = m tr = M t = Q= 135 m rw = m rx = m rr = M r = m sw = m sx = m sr = M s = m tw = m tx = m tr = M t = Clasa de beton : Rezist compres beton R c = Otel longitudinal : Rezist intindere beton R t = Otel etrieri : Modul elasticitate beton E b = Rezist armatura longit. R a = Modul elasticitate otel E a = Rezist etrieri R a = Latime. b= cm Inalt.h= cm a= cm Coef. Siguranta SLU w per M t 3 Φ20 + 0 Φ40 + 0 Φ32 1,14 Ms 2 Φ16 + 0 Φ32 + 0 Φ32 2,74 p et =M t /bb s h s R a = procent armare transversala din moment torsiune A enec =a e p e b/200= cm 2 > a e = cm 2 1 Φ18 suplimentar din M t A t =M t (b s +h s )/(b s h s R a )= cm 2 < 6 Φ20 cm 2 suplimentar din M t 2,50 18,41 m 300 N/mm 2 270 ° 1,75 m 30 cm 40 cm 26,46 ° 4,10 m 12 kN/ml 77,1429 ° 300 N/mm 2 210000 N/mm 2 CARACTERISTICI MATERIALE SCARA C16/20 11,33 N/mm 2 PC52 1,08 N/mm 2 Armare efectiva p A aef x m 30 40 2,5 1,00 122 0,41% 4,02 0,109 0,103 33 12 1,00% 9,42 0,265 0,230 139 PC52 29000 N/mm 2 M cap M ef [cm 2] [tm] [tm] 0,264138 -0,25276 0,316966 -0,303312 0,970707 -0,530796 9,71 kNm 0,00 kNm 0,00 kNm -2,73 kNm -7,10 kNm 8,45 kNm -0,703 -0,314 0,168 0,483 1,323 -0,118 0,707 0,315 0,633 -4,804 1,367 0,001 -55,29 kNm 0,000 1,567 0,445 -3,99 kNm 2,454 -0,778 0,895 37,36 kNm -12,306 1,451 -0,706 -137,62 kNm -0,938 1,109 0,315 -12,21 kNm 10,636 -1,848 0,634 122,32 kNm OK 26,56 A aef = 18,84 A aef A t Mareste At 1,41% 10 cm 2,54 A aef 2,11 \ 10 A aef A enec

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scara elicoidal

Transcript of SCARI elicoidala

  • Scara elicoidala dublu incastrata cu vang central si trepte in consola

    Unghiul de desfasurare b= Unghiul de panta y=

    Raza(centrul grinzii) R= Inaltime etaj hn=

    Dimensiuni grinda b= h= Lungime grinda LGR=

    Incarcare grinda q= Acoperire beton a=

    b/2r= b/h= 0,8 y 26 27

    90 1 30

    Xr/R2= XX/R=

    Momente incovoietoare si de torsiune date de sarcina exterioara 1kN/ml proiectie oriz pe sistemul de baza

    mrw=-R2Q(1-cosQ) msw=-R

    2Q(1-sinQ)siny mtw=-R

    2Q(Q-sinQ)cosy

    Momente incovoietoare si de torsiune in grinda pt Xx=1

    mrx=RQsinQtgy msx=Rcosy(sinQ+QcosQtg2y) mtx=Rsiny(QcosQ-sinQ)

    Momente incovoietoare si de torsiune in grinda pt Xr=1

    mrr=cosQ mss=sinQsiny mtr=sinQcosy

    Momentele finale

    Mr=mrw+XXmrx+Xrmrr Ms=msw+XXmsx+Xrmsr Mt=mtw+XXmtx+Xrmtr

    Xr/R2

    C= XX/RC= Xr= Xx=

    Q= 0 mrw= 0 mrx= 0 mrr= 1 Mr=

    msw= 0 msx= 0 msr= 0 Ms=

    mtw= 0 mtx= 0 mtr= 0 Mt=

    Q= 45 mrw= mrx= mrr= Mr=

    msw= msx= msr= Ms=

    mtw= mtx= mtr= Mt=

    Q= 90 mrw= mrx= mrr= Mr=

    msw= msx= msr= Ms=

    mtw= mtx= mtr= Mt=

    Q= 135 mrw= mrx= mrr= Mr=

    msw= msx= msr= Ms=

    mtw= mtx= mtr= Mt=

    Clasa de beton : Rezist compres beton Rc=

    Otel longitudinal : Rezist intindere beton Rt=

    Otel etrieri : Modul elasticitate beton Eb=

    Rezist armatura longit. Ra= Modul elasticitate otel Ea=

    Rezist etrieri Ra=

    Latime. b= cm Inalt.h= cm a= cm Coef. Siguranta SLU

    w

    per

    Mt 3 20 + 0 40 + 0 32 1,14

    Ms 2 16 + 0 32 + 0 32 2,74

    pet=Mt/bbshsRa= procent armare transversala din moment torsiune

    Aenec=aepeb/200= cm2 >

    ae= cm2 1 18 suplimentar din Mt

    At=Mt(bs+hs)/(bshsRa)= cm2