# Estructuras metálicas, ejercicio dimensionamiento

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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...