-
Armarea grinzii
C20/25 -clasa de beton
fck 20 MPa:= c 1.5:= fcd
fck
c
13.333 MPa=:=
fctm 2.2N
mm2
:=
Bst 500
fyk 500N
mm2
:= s 1.15:= fyd
fyk
s
434.783N
mm2
=:=
Solicitari maxime pe grinda:
MEd.max 67 kN m:=
VEd.max 216.76 kN:=
Armare longitudinala:
bg 0.6 m:= hg 1m:=
cnom 5 cm:=
sl 18 mm:=
d1 cnom
sl
2+ 59 mm=:=
d hg d1 0.941m=:= b 1000 mm:=
MEd.max
bg d2
fcd
9.458 103
=:= < lim 0.372:=
lim< 1=
1 1 2 9.503 103
=:=
Asl.nec bg dfcd
fyd
1.645 cm2
=:=
-
Procent minim de armare
Amin hg bg 0.0015 9 cm2
=:= seff
bg 2 cnom 4 sl
30.143m=:=
Asl.nec Amin< 1= 418/ 150 mm Aeff 10.16 cm
2:=
smin 10 cm:= smax 25 cm:= seff 15 cm:=
d1real cnom
sl
2+ 59 mm=:=
dreal hg d1real 941 mm=:=
xreal Aeff
fyd
0.8 bg fcd 69.022 mm=:=
zreal dreal 0.4 xreal 913.391 mm=:=
Mrd Aeff fyd zreal 403.481 kN m=:=
Mrd MEd.max> 1=
Armare transversala:
bw bg 0.6m=:=
cRdc0.18
c
0.12=:=
l.
Aeff
bw 460 mm0.00368=:=
l min l. 0.02, ( ) 3.681 103
=:=
k 1200mm
d+ 1.461=:= 2ctg>1.75 in functie de apropierea fata de o
limita
ctg 2.5:= tg1
ctg0.4=:=
lcr hg 100 cm=:=- pentru clasa de ductilitate M
Aleg sw 10mm:= Asw 101mm2
:=
scr.max minhg
4150mm, 8 sl,
144 mm=:=
sAsw fyd zreal ctg
VEd.max
462.606 mm=:=
wmin 0.08
fck1
MPa
fyk1
MPa
0.0007=:=
-
In zone critice (lcr
): sw.cr 125mm:=
sw.max minhg
4150 mm, 7 sl,
0.126m=:=
VRds.cr
Asw
sfyd zreal ctg 216.76 kN=:=
VRd.w min VRds.cr VRd.max, ( ) 216.76 kN=:=
VRd.w VEd.max> 0=Ok!
w
Asw
sw.cr bw0.0013=:= w wmin> 1=
In restul zonelor: sw 200mm:=
VRds
Asw
sfyd zreal ctg 216.76 kN=:=
VRd.w min VRds VRd.max, ( ) 216.76 kN=:=
VRd.w VEd.max> 0=Ok!
w
Asw
sw bw0.0008=:= w wmin> 1=
Verificare la torsiune:
TEd 100 kN m 1 105
J=:=
Ag bg hg 0.6m2
=:=
u 2 bg 2 hg+ 3.2m=:=
tef
Ag
u187.5 mm=:= tef.min cnom
sl
2+ 59 mm=:= 2 tef.min 0.118m=
teff max tef 2 tef.min, ( ) 187.5 mm=:=
bk bg teff 0.413m=:= hk hg teff 0.813m=:=
Ak bk hk 0.335m2
=:=
-
uk 2 bk 2 hk+ 2.45m=:=
cc 1.0:= ct 1.0:=-valoare recomandabila, variaza intre 0.8 si
1.0
fctk.0.05 1.5 MPa:=
fctk
cc fck
c
1.333 107
Pa=:= fctd
ct fctk.0.05
c
1N
mm2
=:=
TRd.c 2 fctd Ak teff 125.684 kN m=:=
TEd
TRd.c
VEd.max
VRdc
+ 1.955= 2.141 1> - etrieri pentru torsiune
atan tg( ) 0.381=:=
sin ( ) 0.371= cos ( ) 0.928=
Asw 101 mm2
= 28
RT
TEd
2 Ak fydtan ( ) 0.137 mm=:=
sT
Asw
2
RT
367.943 mm=:=
sw.final
sT sw
sT sw+129.57 mm=:= sw.final.cr
sT sw.cr
sT sw.cr+93.303 mm=:=
TRdmax( ) 2 cw 1 fcd Ak teff sin ( ) cos ( ) 312.042 kN m=:=
VRdmax.teff
cw teff zreal 1 fcd( )ctg tg+
425.199 kN=:=
CondTEd
TRdmax
VEd.max
VRdmax.teff
+ 0.83=:= 0.862 1
