Estructuras metálicas, ejercicio dimensionamiento
FACULTAD DE ARQUITECTURA
ESTRUCTURAS METÁLICAS
ÁNGELA MARÍA OLAYA
NICOLÁS TRUJILLO
ACERO A-36 FY=253Mpa
LOZA= 0,12m
CARGA VIVA hospitales: 4,00kn/m2 = 0,4Ton/ m2
PREDIMENSIONAMIENTO VIGAS
Vigas principales
Viga1= 10m* 6m= 60 m2
CM= 2, 4Ton/ m3 *0,12m* 60 m2= 17,28Ton
CV= 0,4Ton/ m2* 60 m2 = 24Ton
Cu=1,2(CM)+1,6(CV)=1,2(17,28Ton)+1,6(24Ton)
20,73Ton+38,4Ton= 59,13Ton
Wu= 59,13Ton/6m= 9,85Ton/m
Vu= (9,85Ton/m* 10m)/2= 49,25Ton= 492500Nt
Mu= (49,25Ton* 5m)/2= 123,12Ton/m
Hviga= 10m/20= 0,5= 500mm 19,68”
Lb= 3,6m
Perfil W21x50
D= 528mm
Tw= 9,65mm
Áreaw= 528mm *9,65mm = 5095,2mm2
φRn= 1.0*0,6*253Mpa*5095,2mm2= 773451,36Nt
492500Nt< 773451,36Nt
Peso 50lb/ft50lb/ft*1,5 = 75 kg/ml =0,07 Ton/ml
Viga2= 12m* 5m= 60 m2
CM= 2, 4Ton/ m3 *0,12m* 60 m2= 17,28Ton
CV= 0,4Ton/ m2* 60 m2 = 24Ton
Cu=1,2(CM)+1,6(CV)=
1,2(17,28Ton)+1,6(24Ton)
20,73Ton+38,4Ton= 59,13Ton
Wu= 59,13Ton/5m= 11,82Ton/m
Vu= (11,82Ton/m * 12m)/2= 70,92Ton= 709200Nt
Mu= (70,92Ton* 6m)/2= 212,76Ton/m
Hviga= 12m/20= 0,6= 600mm 23,62”Lb=2,5m
Perfil W24x55
D= 599mm
Tw= 10mm
Áreaw= 599mm *10mm= 5990mm2
φRn= 1.0*0,6*253Mpa*5990mm2= 909282Nt
709200Nt< 909282Nt
Peso 55lb/ft
55lb/ft*1,5 =82,5kg/ml= 0,08
Vigas secundarias
Viga3= 10m* 2,5m= 25 m2
CM= 2, 4Ton/ m3 *0,12m* 25 m2 = 7,2Ton
CV= 0,4Ton/ m2* 25 m2 = 10Ton
Cu=1,2(CM)+1,6(CV)=
1,2(7,2Ton)+1,6(10Ton)
8,64Ton+16Ton=24,64Ton
Wu= 24,64Ton /2,5m= 9,85Ton/m
Vu= (9,85Ton/m * 10m)/2= 49,25Ton= 492500Nt
Mu= (49,25Ton *5)/2= 123,12Ton/m
Hviga= 10m/20= 0,5= 500mm 19,68”
Perfil W21x44
D= 526mm
Tw= 8,89mm
Áreaw= 526mm*8,89mm = 4676,14mm2
φRn= 1.0*0,6*253Mpa*4676,14m m2= 709838,05Nt
492500Nt< 709838,05Nt
Peso 44lb/ft
44lb/ft*1,5 = 66 kg/ml =0,06 Ton/ml
ViguetasVigueta1= 2,5* 2,5m= 6,25 m2
CM= 2, 4Ton/ m3 *0,12m* 6,25 m2 = 1,8Ton
CV= 0,4Ton/ m2* 6,25 m2 = 2,5Ton
Cu=1,2(CM)+1,6(CV)=
1,2(1,8Ton)+1,6(2,5Ton)
2,16Ton+4Ton= 6,16Ton
Wu= 6,16Ton/2,5m = 2,46Ton/m
Vu= (2,46Ton/mTon/m * 2,5m)/2= 3,07Ton= 30700Nt
Mu= (3,07Ton * 1,25m)/2= 1,91Ton/m
Hviga= 2,5m/20= 0,12= 125mm 4,92”
Perfil W5x16
D= 127mm
Tw=6,10mm
Áreaw= 127mm *6,10mm = 774,7mm2
φRn= 1.0*0,6*253Mpa*774,7mm2= 117599,46Nt
30700Nt<117599,46Nt
Vigueta2= 2,5*3,05m= 7,62 m2
CM= 2, 4Ton/ m3 *0,12m* 7,62 m2 = 2,19Ton
CV= 0,4Ton/ m2* 7,62 m2 = 3,04Ton
Cu=1,2(CM)+1,6(CV)=
1,2(2,19Ton)+1,6(3,04Ton)
2,62Ton+4,86Ton= 7,48Ton
Wu= 7,48Ton/3,05m= 2,45Ton/m
Vu= (2,45Ton/mTon/m * 2,5m)/2= 3,06Ton=30625Nt
Mu= (3,06Ton * 1,25m)/2= 1,91Ton/m
Hviga= 2,5m/20= 0,12m= 125mm 4,92”
Perfil W5x16
D= 127mm
Tw= 6,10mm
Áreaw= 127mm *6,10mm = 774,7mm2
φRn= 1.0*0,6*253Mpa*774,7mm2= 117599,46Nt
30700Nt<117599,46Nt
Vigueta3= 2,5* 2,5m= 6,25 m2
CM= 2, 4Ton/ m3 *0,12m* 6,25 m2 = 1,8Ton
CV= 0,4Ton/ m2* 6,25 m2 = 2,5Ton
Cu=1,2(CM)+1,6(CV)=1,2(1,8Ton)+1,6(2,5Ton)
2,16Ton+4Ton= 6,16Ton
Wu= 6,16Ton/2,5m = 2,46Ton/m
Vu= (2,46Ton/mTon/m * 2,5m)/2= 3,07Ton= 30700Nt
Mu= (3,07Ton * 1,25m)/2= 1,91Ton/m
Hviga= 2,5m/20= 0,12= 125mm 4,92”
Perfil W5x16
D= 127mm
Tw= 6,10mm
Áreaw= 127mm *6,10mm = 774,7mm2
φRn= 1.0*0,6*253Mpa*774,7mm2= 117599,46Nt
30700Nt<117599,46Nt
Vigueta4= 5* 3,05m= 15,25 m2CM= 2, 4Ton/ m3 *0,12m* 15,25 m2 = 4,39Ton
CV= 0,4Ton/ m2* 15,25 m2 = 6,1Ton
Cu=1,2(CM)+1,6(CV)=
1,2(4,39Ton)+1,6(6,1Ton)
5,26Ton+9,76Ton= 15,02Ton
Wu= 15,02Ton /3,05m = 4,92Ton/m
Vu= (4,92Ton/m * 5m)/2= 12,3Ton= 123000Nt
Mu= (12,3Ton * 2,5m)/2= 15,37Ton/m
Hviga= 5m/20= 0,25= 250mm 9,84”
Perfil W10X12
D= 251mm
Tw= 4,83mm
Áreaw= 251mm...
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