Chala

MINSUR S.A

ESTUDIO DE PREFACTIBILIDAD - PLANTA DE REPROCESAMIENTO DE RELAVES UNIDAD MINERA SAN RAFAELH343306

APENDICE A

EDIFICIO DE AREA 2110 MOLIENDA Y 2120 FLOTACION

1. DESCRIPCIÓN DEL CÁLCULO

Fig 1. Distribucion en planta de la estructura.

1.1. Asunciones· La estructura es cerrada.

1.2. Referencias1.- H343306-2100-05-144-0001 Listado de Equipo Mecánico2.- H343306-2130-05-030-0001 Diagrama de Flujos de Proceso

2. INFORMACION PARA EL PREDIMENSIONAMIENTO

2.1. Nomenclatura

Geometrica Nave

: Altura al Nivel de Viga Carrilera (m)

: Altura Libre sobre Viga Carrilera (m)

: Altura del Timpano (m)

L_nave : Largo de la Nave (m)

B_nave : Ancho de la nave (m)

Las áreas 2110 Molienda y 2120 Flotación, están albergadas dentro de una nave industrial cerrada, que cuenta con un puente grúa para mantenimiento de 50 t de capacidad. La estructura esta conformada por sistemas Porticos Ordinario Resistentes a Momento (OMF) en su direccion corta y con Porticos Ordinarios Arriostrados Concentricamente (OCBF) en la direccion larga.

H1

H2

H3

SUBESTACIONELECTRICA

ISA MILL

CELDASCOLUMNA

( 2110)

( 2120)

( 2130.1)

( 2110) FILTRADO YALMACENAMIENTODE CONCENTRADO

ESPESAMIENTOESTANO

ESPESAMIENTORELAVES

( 2200)EL. +4525.00NTT

EL. +4515.00NTT

( 2140)

EL. +4515.00NTT

( 2130.2)

EL. +4505.00NTT

( 2130.3)

EL. +4525.00NTT

TANQUEREPULPADO

CELDASFLOTACION

SUBESTACIONELECTRICA

ISA MILL

CELDASCOLUMNA

( 2110)

( 2120)

( 2130.1)

( 2110) FILTRADO YALMACENAMIENTODE CONCENTRADO

ESPESAMIENTOESTANO

ESPESAMIENTORELAVES

( 2200)EL. +4525.00NTT

EL. +4515.00NTT

( 2140)

EL. +4515.00NTT

( 2130.2)

EL. +4505.00NTT

( 2130.3)

EL. +4525.00NTT

TANQUEREPULPADO

CELDASFLOTACION

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Datos del Puente Grúa

L_pg : Longitud del Puente Grúa (m)

Cap_pg : Capacidad de carga del Puente Grúa (t)

L_vc : Largo de la Viga Carrilera (m)

S_vc : Separacion de ruedas de la Testera (m)

P_max : Carga Máxima de la Rueda (t)

P_min : Carga Mínima de la Rueda (t)

Cvs : Carga Vertical Transmitida al Portico (t)

Mvs : Carga de Momento por Cvs Transmitida al Portico (t - m)

Ci : Carga de Impacto Transmitida al Portico (t)

Css : Carga Transversal Transmitida al Portico (t)

Cl : Carga Longitudinal Transmitida al Portico (t)

Materiales

:

:

:

:

Cargas

:

:

:

V : Velocidad de Diseño (km/h)

: Altura sobre el terreno de la estructura (m):

C : Factor de forma

:

Z : Factor de zonificacion sismicaU : Factor de uso e importanciaC : Coeficiente de amplificacion sismicaS : Factor de sueloR : Coeficiente de reduccion sismica Según el ASCE7-10

gc Peso Específico del Concreto (t/m3)

grell Peso Específico del suelo de relleno (t/m3)

gcont1A Peso Específico del contenido de la celda Columna A y B (t/m3)

gcont1C Peso Específico del contenido de la celda Columna C (t/m3)

DTecho Carga Muerta debida al peso de la cobertura y accesorios (kg/m2)

DPared Carga Muerta debida al peso del recubrimiento (kg/m2)

LLTecho Carga Viva de Techo (kg/m2)

hw

Vh Velocidad horizontal de Diseño a la altura hw (km/h)

Ph Presion dek viento a una altura hw (kg/m2)

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2.2. Dimensiones de la nave

Planta Seccion Tipica

Fig 2. Estructuracion de la nave

DenominaciónH1 H2 H3 L_nave B_nave

[ m ] [ m ] [ m ] [ m ] [ m ]

Celda Columna de Flotación 1era Limpieza 16.0 6.0 5.0 77.0 32.0

Las dimensiones fueron tomas de la maqueta Mecanica 3D

3. CARGAS

3.1. Cargas Muertas

Peso propio de la estructura = Automatico por el Sap2000

Peso de correas y templadores = 5.0 Asumido

Peso de Luminarias y ductos de ventilación = 15.0 Asumido

Peso cobertura Precor (t = 0.45mm) = 5.0 Tabla PRECOR

= ###

Peso propio de la estructura = Automatico por el Sap2000

Peso de correas y templadores = 5.0 Asumido

Peso cobertura Precor (t = 0.45mm) = 5.0 Tabla PRECOR

= ###

kg/m2

kg/m2

kg/m2

DTecho kg/m2

kg/m2

kg/m2

DPared kg/m2

L_nave

B_nave

H1

H2

H3

L_pg

Cap_pg

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3.2. Carga Viva

Sobrecarga min de techo = 50.0 RNE

= ###

3.3. Viga Carrilera

Fig 3. Caracteristicas Geometricas de la Viga Carrilera

L_pg = ### m Viga Carrilera : W33x118 + C15x33.9

Cap_pg = ### t Capacidad de Carga = 50.0 t

S_vc = 4.5 m Peso del puente grua = 34.3 t

L_vc = 7.0 m Peso del carro + polipastos = 4.2 t

P_max = 35.7 t

P_min = 10.7 t

Situacion de carga completamente apoyada sobre una columna

Fig 4. Diagrama de Cargas que Transmite la Viga Carrilera al Portico

Cvs1= 60.5 t Cvs2= 22.9 t

Mvs1= 60.5 t - m Mvs1= 22.9 t - m

Ci1 = 15 t Ci2 = 5.73 t

Css1= 5.42 t Css2= 5.42 t

Cl1 = 12 t Cl2 = 4.59 t

kg/m2

LLTecho kg/m2

S_vc

L_vc

P_max P_max

Cvs1, Ci1

Css1 Mvs1

Cvs2, Ci2

Css2Mvs2Cap_pg

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3.4. Parámetros para cargas de viento

V = 100.0 km/h Según el Mapa Eólico del Perú

hw = 22.0 m

= 118.9 km/h

Lado C Ph

6 0.8 57

7 -0.7 -50

8 -0.6 -42

9 -0.7 -50

* El signo positivo indica presión y el negativo succión

Lado C Ph

1 0.8 57

2 -0.7 -50

3 -0.6 -42

4 0.7 50

5 -0.6 -42

* El signo positivo indica presión y el negativo succión

Vh

1

4

53

2

2

7

9

97

6

8

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3.5. Parametros para cargas de sismo

Z = 0.4 Zona 3 Tp = 0.6 Período del Terreno

U = 1.5 Edificaciones Tipo A g = 9.8 Gravedad

S = 1.2 Suelos flexibles S2

Rx = 3.00 (U/Rx).g = 4.90

Ry = 3.00 (U/Ry).g = 4.90

Espectro de Diseño

4. ANÁLISIS SÍSMICO

4.1. Calculo de Periodos fundamentales según el ASCE7-10

Para la Dirección Corta: Pórticos a Momento Para la Dirección Larga: Arriostrado

= 0.028 = 0.020

x = 0.800 x = 0.750

hn = 24.5 m hn = 24.5 m

= 80.4 ft = 80.4 ft

Tax = 0.94 s Tay = 0.54 s

Períodos obtenidos del modelo matemático:

CT CT

- 0.50 1.00 1.50 2.00 2.50 3.00

0.00

0.50

1.00

1.50

ESPECTRO DE RESPUESTA

T

ZC

S

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Tax' = 0.89 s Tay' = 0.28 s

Determinación del Período máximo a emplear:

Cu = 1.40

= 1.31 s = 0.75 s

Períodos a considerar:

= 0.89 s = 0.28 s

Tmáxx Tmáxy

Tx Ty

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4.2. Cortante Sísmico

Cortante basal del análisis dinámico

Espectro Dir GlobalFX GlobalFY GlobalFZ GlobalMX GlobalMY GlobalMZ

Ton Ton Ton Ton-m Ton-m Ton-m

Cs X 394.40 0.00 0.02 0.14 2594.36 3017.20

Cs Y 0.00 406.58 0.00 2613.83 0.00 12943.41

Masa considerada

= = 245.28

=> Peso considerado = 2406.2 t (Incluye : CM+ 0.5CV )

Cortante basal del análisis estático

Tx= 0.43 s 0.600 x P = 1443.7 Tn

Ty= 0.35 s 0.600 x P = 1443.7 Tn

Verificación del mínimo cortante basal dinámico

Dir f Estado

t t

X-X 394.40 1443.72 1154.98 SI 2.93 Si Requiere amplificación

Y-Y 406.58 1443.72 1154.98 SI 2.84 Si Requiere amplificación

La carga dinámica de sismo NO requirió ser amplificada para el diseño estructural.

MasaX MasaY t - s2/m

CsXP=

CsYP=

V dinámico Vestático 80%VestáticoVdin<80%Vest

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5. DESPLAZAMIENTOS MAXIMOS

5.1. Desplazamientos Laterales por carga sismica

Figura 6. Desplazamiento por accion sismica en el eje X

Figura 7. Desplazamiento por accion sismica en el eje Y

Nudo Carga Despl. Abs h Despl. Rel. Drift Desp. Lat. Status

(mm) (m) (mm) (m) Admisible.

27 CSx 26.16 8.40 14.46 4.20 0.0034 0.007 Ok

101 CSx 11.70 4.20 11.70 4.20 0.0028 0.007 Ok

132 CSy 17.57 8.40 8.68 4.20 0.0021 0.007 Ok

140 CSy 8.89 4.20 8.89 4.20 0.0021 0.007 Ok

Nudo Carga Despl. Abs h Despl. Rel. Drift Desp. Lat. Status

(mm) (m) (mm) (m) Admisible.

Dh

Dh

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27 CSx 157.27 8.40 8.78 4.20 0.0021 0.007 Ok 0.6101 CSx 148.50 4.20 8.55 4.20 0.0020 0.007 Ok 0.7102 CSx 139.95 0.00 139.95 406.400 Ok

132 CSy 153.00 8.40 5.17 4.20 0.0012 0.007 Ok 0.6140 CSy 147.83 4.20 7.20 4.20 0.0017 0.007 Ok 0.8141 CSy 140.63 0.00 140.63 406.400 Ok

Sin aislador Con Aislador

Dir Periodo Periodo

S/aisladorC/aislador

X-X 0.36 1.58 t t

Y-Y 0.27 1.57 634.51 669.60

648.40 675.67

Sin aisladores Con aisladores

Carga Carga Despl. Rel. Drift Despl. Rel. Drift Desp. Lat. Status Reduccion

(mm) (mm) Admisible. %CSx 2do nivel 28.26 0.0094 16.20 0.0054 0.007 Ok 42.68%

CSx Azotea 21.05 0.0070 16.20 0.0054 0.007 Ok 23.03%

CSy 2do nivel 12.96 0.0043 7.80 0.0026 0.007 Ok 39.81%

CSy Azotea 12.17 0.0041 10.20 0.0034 0.007 Ok 16.21%

Carga Despl. Abs h

(mm) (m) (m) (m)

CSx 414.60 6.00 3.00 3.00

CSx 398.40 3.00 3.00 3.00

CSy 403.80 6.00 3.00 3.00

CSy 396.00 3.00 3.00 3.00

V dinámico V dinámico

Dh Dh

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6. DISEÑO DE ELEMENTOS PRINCIPALES

6.1. Diseño de la viga carrilera

Viga Carrilera : W33x118 + C15x33.9Evaluacion por Servicio (Deflexiones)

Maxima Provista Ratio

11.7 mm 3.9 mm 2.99 OK L/600

17.5 mm 5.56 mm 3.15 OK L/400

Evaluacion por Resistencia (Esfuerzos)

ActuantesResistentes Ratio

Flexion eje x-x 119.2 t - m 184.3 t - m 0.65 OK

Flexion eje y-y 7.6 t - m 28.1 t - m 0.27 OK

Flexion Biaxial 0.92 OK

Cortante 93.1 t - m 159.7 t - m 0.58 OK

Pandeo del alma 67.0 t - m 252.5 t - m 0.27 OK

Dvertical

Dhorizontal

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6.2. Diseño de los elementos estructurales de la Nave

Figura 8. Pórtico Para Puente Grúa de Mantenimiento

Figura 9. Pórtico Para Frontal

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Figura 10. Portico Longitudinal.

HOJA DE CALCULOHoja N°

deDescripcion Proyecto N° Hecho por: Revisado por:

D. Flores L. TasaicoVC v1.0

1.a.- Características de la grua

Datos de la grua: Tipo B LCapacidad máxima de la grúaQ = 490.3 kN

Peso del puente grua: 336.6 kN S

Peso del carro + polipastos: 41.2 kN

Carga máxima de rueda: 349.9 kN Q

Carga míxima de rueda: 104.7 kN ySeparación entre ruedas: S = 4.50 m z xLongitud de la viga: L = 7 mFactor de Seguridad F = 1.00 S

1.b.- Datos de la viga Carrilera

Perfil W33x118 + C15x33.9

Material ASTM - A 36Riel 60lb/yd

Peso del riel: 0.29 kN/m1.c.- Coeficientes de impacto: Pte. Grua

Vertical: Civ = 1.25 Puy =Puv= -657.7 kN

Lateral: Cih = 0.2 Pux =Puh= -42.5 kN

Longitudinal: Cil = 0.1 Puz =Pul= -65.8 kN

1.d.- Deflexiones Eje Local Requerida Provista Ratio

Deflexión máxima vertical: L/600 = 12 mm 110027 328823 2.99

Deflexión máxima horizontal: L/400 = 18 mm 5406 17012 3.15

2.a.- Evaluacion por Servicio (Deflexiones) Maximas Provista Ratio

Deflexión máxima vertical (Y): 12 mm 3.9 mm 2.99 OK

Deflexión máxima horizontal (X): 18 mm 5.6 mm 3.15 OK

2.b.- Evaluacion por Resistencia (Esfuerzos) Actuantes Resistentes Ratio

Chequeo de flexion al rededor de eje local X 1,169.5 kN - m 1,807.7 kN - m 0.65 OK

Chequeo de flexion al rededor de eje local Y 74.4 kN - m 275.4 kN - m 0.27 OK

Chequeo de flexion Biaxial 0.92 OK

Chequeo de cortante 913.7 kN - m 1,566.2 kN - m 0.58 OK

Chqueo de pandeo lateral del alma 657.7 kN - m 2,477.2 kN - m 0.27 OK

2.c.- Fuerzas actuantes en la estructura

Fy = -593.6 kN

Fx = -53.2 kN

Fz = -118.7 kN

Mz = -594 kN - my

x yz 1.0 m x

z

Fecha: 10/7/12 Fecha: 11/7/12

1.- Datos de Entrada

WPG =

WC+P =

Pmáx =

Pmín =

P*=Pmax ó Pmin

Wr =

IreqX cm4 cm4

IreqYT cm4 cm4

2.- Datos de Salida

LBraket =

P* P*

F10

Hatch: Seleccionar el tipo de Puente Grua deacuerdo al CMAA

I18

Hatch: Factor de seguridad dependiendo de la confiabilidad de los datos vendor max 5%

I25

HATCH: 1.25 con cabina de operacion 1.1 con barra de operación Este coeficiente incrementa la carga veritical producto de PV

N25

Hatch: Puy=Civ(PPG(1.2) + PL(1.6)) PPG = WPG / 4 PL = Pmáx - PPG

N26

Hatch: Pux = Ph(1.6) Ph=(Cih*(Q+Wc+p))/4

N27

Hatch: Puz=Cil*Puy



D. Flores L. TasaicoVC v1.0

Datos preliminares y predimensionado:

a.- Características de la grua y la viga carrilera:

Datos de la grua:L

Capacidad máxima de la grúa: Q *Fs= 490.3 kNPeso del puente grua: 336.6 kN S

Peso del carro + polipastos: 41.2 kN

Carga máxima de rueda: 349.9 kN

Carga míxima de rueda: 104.7 kN

Peso del riel: 0.292 kN/mSeparación entre ruedas: S = 4.5 m

b.- Coeficientes de impacto:

Vertical: Civ = 1.25 Lateral: Cih = 0.2 Longitudinal: Cil = 0.1

c.- Propiedades y dimensiones de la viga carrilera:

Datos de la viga Carrilera Perfil W33x118 + C15x33.9

Perfil:" W33x118 Canal de refuerzo: C15x33.9

Altura de la viga: 835 mm Altura de la canal: 381 mmAncho de la viga: 292 mm Ancho del canal: 86.4 mm

Espesor del ala: 18.8 mm Espesor del canal: 16.51 mm

Espesor del alma: 14 mm Espesor del canal: 10.2 mm

Momento de inercia mayor: 13111.29

Momento de inercia menor: 335.8988

Modulo plástico de la secci 832.5x = 14.2 cm

Área de la sección: A = 64.52 NA

Propiedades de la sección armada: Prop. del ala superior y sus componentes:Momento de inercia mayor: 328823 Momento de inercia: 17012

Momento de inercia menor: 20895 Módulo de sección: 1165

Área de la sección: A = 287.7 Módulo plástico: 1233

Modulo plástico de la sección: 8669 radio de giro: 12.77 cm

Modulo elástico de la sección (tope): 9767

Modulo elástico de la sección (fondo): 6473Constante de torsión uniforme: J = 262.6

Radio de giro menor: 8.5 cmPeso propio: PP = 2.2 kN/mLongitud de la viga: L = 7 m

Tipo de acero: ASTM - A 36

Esfuerzo de fluencia del acero: 248107

Esfuerzo último del acero: 400109

Modulo de elasticidad del acero: 205938600

Análisis de solicitaciones y deflexiones máximas:

Ubicación crítica de las cargas para deflexión:4.50 m 1.25 m

Fecha: 10/7/12 Fecha: 11/7/12

WPG* Fs =

WC+P *Fs =

Pmáx =

Pmín =

Wr =

d = d =bf = bf =

tf = tf =

tw = tw =

Ix = cm4

Iy = cm4

Zx = cm3

y 2cm2

y 1

Ix = cm4 Iyt = cm4

Iy = cm4 Syt = cm3

cm2 Zyt = cm3

Zx = cm3 rt =

Sxc = cm3

Sxt = cm4

cm4

ry =

Fy = kN/m2

Fu = kN/m2

Es = kN/m2

La flecha o deflexión máxima ocurre cuando las ruedas del P

P



D. Flores L. TasaicoVC v1.0 Fecha: 10/7/12 Fecha: 11/7/12

1.25 m

1.25 m

356 P/I 7.00 m

Ubicación crítica de las cargas para corte y momento flector:-1.00 m

Momentos máximos ocurren: 4.50 m

a.- Cuando:3.50 m

Con:

b.- Cuando: 7.00 m

Con:

4.10 m < 4.50 m 3.50 m 1.75 P

Ubicación crítica de las cargas para la reacción máxima:

4.50 m

2.50 m

1.36 P

0.64 P 7.00 m

Solicitaciones para el estado límite de servicio:

Carga uniformemente distrubida sobre la viga: 2.51 kN/m

Carga vertical por rueda: 349.9 kN

Carga lateral por rueda: 26.6 kN

La flecha o deflexión máxima ocurre cuando las ruedas del puente grua se encuentran centradas respecto al centro de la viga como se muestra en el esquema.

La reacción máxima ocurre cuando una de las ruedas del puente grua se encuentra ubicada sobre uno de los apoyos, tal como se muestra en el esquema.

q = Wr + PP =

Pv = Pmáx =

P

P

P

Rmáx

Rmín

PP

221 SLX -

- L22 X máxM

4PCih

h

WQCP

- 2SLX

-D 22max 43

24XL

EI

PX

LS 22 -

2

22

-

SL

L

PMmáx

LS 22 -

2LX

4

PLM máx

-

L

SPRV máxmáx 2

L

SPRmín




Solicitaciones para el estado límite de agotamiento resistente:

Fuerzas factorizadas sobre la viga:

Carga por rueda debido al peso del puente grua: 84.1 kN

Carga levantada + Peso del carro: 265.8 kN

Carga vertical factorizada (impactada): 657.7 kN

Carga transversal factorizada: 42.5 kN

Carga vertical uniforme, factorizada: 3.01 kN/m

Reacción vertical factorizada:

Ru = 1.4 Puv + 2xquxL/2 = 913.7 kN

Momento máximo respecto al eje mayor: Momento máximo respecto al eje menor:

1.75 Puv = 1151 Kgf 1.8 Puh = 74.41 kN - m

1169 Kgf-m

Verificación del estado límite de servicio, deflexión:

Deflexión máxima vertical:Deflexión máxima para la carga vertical uniforme: 0.12 mm

Deflexión máxima para las cargas puntuales: 356 Pv/Ix = 3.79 mmDeflexión máxima vertical: 3.90 mm < L/600 = 11.67 mm OK

Deflexión máxima horizontal:Deflexión máxima para las cargas puntuales: 356 Ph/Iyt = 5.56 mm < L/400 = 17.50 mm OK

Verificación de la flexión alrededor del eje X:

Estado límite de inestabilidad por pandeo local:

Alas del perfil I: 7.77 CompactaAlma del perfil I: 54.41 CompactaAlas del canal: 2.62 CompactaAlma del canal: 30.31 Compacta

Estado límite de resistencia por pandeo lateral torsional:

Longitud no arriostra Lb = 7.00 mLp = 4.05 m ( AISC-360, Eq. F4-7 )Lr = 15.36 m ( AISC-360, Eq. F4-8 )

Factor de modificación de momento: 1 ϕ = 0.9 ( AISC-360, Eq. F1-1 )

Cedencia en compresión del ala superior: 2,150.8 kN - m ( AISC-360, Eq. F4-1 )

Resistencia nominal a flexión cuando: Lp < Lb ≤ Lr 2,008.6 kN - m ( AISC-360, Eq. F4-2 )

Resistencia nominal a flexión para: Lb > Lr 701737 ( AISC-360, Eq. F4-5 )

2,150.8 kN - m ( AISC-360, Eq. F4-3 )

Resistencia nominal a flexión: Lp < Lb < Lr 2,008.6 kN - m

Resistencia minorada: 1,807.7 kN - m > 1,169.5 kN - m OK Ratio = 0.65

PPG = WPG / 4 =

PL = Pmáx - PPG =

Puv = Civ(PPG(1.2) + PL(1.6)) =

Puh = Ph(1.6) =

qu = (1.2)q =

Cb =

RpcMyc = RpcFySxc =

Mnx =

Fcr = kN/m2

Mnx =

Mnx =

ϕMnx =

- 8

2LqMM u

vmáxux

- hmáxuy MM

DEI

qLv

4

1 384

5

D 2v

DDD 21 vvv

D h

Iff tb 2

Iwth

Cff tb 2

Cwth

- vPmax




Verificación de la Flexión biaxial:

Modulo plástico del ala superior y sus componentes: 1233

Momento plástico en y del ala superior: 306.0 kN - m

Resistencia minorada: 275.4 kN - m > 74.4 kN - m OK Ratio = 0.27

Ecuación de interacción:

0.65 + 0.27 = 0.92 < 1 OK ( AISC-360, Eq. H1-1b )

Resistencia al corte:

a/h =9.19 0.90 ( AISC-360, Eq. G2-1 )

117

Coeficiente de pandeo de placa: 5

Coeficiente de corte del alma: 1 ( AISC-360, Eq. G2-3 )Resistencia nominal a corte: 1,740.2 kN

Resistencia minorada: 1,566.2 kN > 913.7 kN OK Ratio = 0.58

Estado límite de pandeo lateral del alma:

ϕ = 0.9 ( AISC-360, Eq. J10-7 )

1,169.5 kN - m < 2,423.2 kN - m 6619455000h = 762 mm

2,477.2 kN > ### OK Ratio = 0.27

Diseño de los rigidizadores de apoyo:

Longitud de apoyo: N = 228 mm K = 36.62 mm

a.- Cedencia local del alma:ϕ = 1.00

( AISC-360, Eq. J10-3)

1,109.9 kN > 913.7 kN OK Ratio = 0.82b.- Aplastamiento del alma:

ϕ = 0.75

Para N/d ≤ 0.2:

( AISC-360, Eq. J10-5a)

Para N/d > 0.2:

( AISC-360, Eq. J10-5b)

N/d =0.27 > 0.2 766.3 kN < 913.7 kN N.P. Ratio = 1.19

Se requieren rigidizadores en el apoyo

Zyt = cm3

Mpy = ZytxFy =

ϕMny =

ϕv =

cm2

Kv =

Cv =

Vn =

ϕvVn =

Mux = My = SxFy = Cr = kN/m2

ϕRn =

ϕRn =

Cuando Rmáx esta aplicada a una distancia del borde de la viga menor que d/2:

ϕRn =

uvf

wfwrn P

bL

th.

h

ttCR

3

2

3

40

1ny

uy

nx

ux

M

M

M

M

máxn RR wyn tFNKR 52,

w

fy

f

wwn t

tEF

t

t

d

NtR

5.1

2 314,0

w

fy

f

wwn t

tEF

t

t

d

NtR

-

5.1

2 2,04

14,0

máxn RR

ww dtA

vwyvnv CAFV 60.

1 2

1 W36x150 + C15x33.9

2 W33x141 + C15x33.9

3 W33x118 + C15x33.9

4 W30x116 + C15x33.9

5 W30x99 + C15x33.9

6 W27x94 + C15x33.9

7 W27x84 + C15x33.9

8 W24x84 + C15x33.9

9 W24x84 + C12x20.7

10 W24x68 + C15x33.9

11 W24x68 + C12x20.7

12 W21x68 + C15x33.9

13 W21x68 + C12x20.7

14 W21x62 + C15x33.9

15 W21x62 + C12x20.7

16 W18x50 + C15x33.9

17 W18x50 + C12x20.7

18 W16x36 + C15x33.9

19 W16x36 + C12x20.7

20 W14x30 + C12x20.7

21 W14x30 + C10x15.3

22 W12x26 + C12x20.7

23 W12x26 + C10x15.3

232 3 W21X68 C15x33.9 24 W21X68 + C15x33.9

25 1

26 2

27 3

28 4

29 5

30 6

3 4 5 6 7 8 9 10 11Perfil Compuesto

d Yt Yc A

mm mm mm mm mm mm

922.02 535.94 383.54 478666.14 24307.92 349.68

855.98 502.92 353.06 398749.71 23350.58 332.26

845.82 508 337.82 328822.83 20894.82 287.74

772.16 464.82 307.34 274296.51 19937.49 284.52

764.54 469.9 292.1 231008.44 18397.43 251.61

693.42 429.26 264.16 188552.84 18272.56 242.58

688.34 434.34 254 168573.73 17481.72 223.87

622.3 391.16 231.14 139021.30 17023.87 223.87

619.3028 363.22 254 126118.12 9281.96 198.71

612.14 398.78 214.884 196045.00 16024.91 193.55

609.1428 368.3 241.046 101560.47 8283.01 168.39

547.16 353.06 192.786 90738.45 15775.17 193.55

544.1628 327.66 215.646 81997.59 8074.89 168.39

543.56 358.14 186.182 83246.29 15483.81 181.94

540.5628 330.2 209.804 74921.66 7741.90 156.77

467.36 317.5 150.368 52028.93 14734.59 158.71

464.3628 292.1 171.704 46617.92 7034.31 133.55

414.02 294.64 118.618 31134.11 14110.25 132.26

411.0228 271.78 138.938 27887.51 6368.34 107.10

357.6828 243.078 115.57 18605.54 6201.85 96.13

356.616 231.394 126.238 17481.72 3612.89 85.81

317.0428 219.202 98.298 13236.16 6076.98 88.39

315.976 208.788 107.696 12445.32 3517.16 78.06

547.16 356.66 190.50 89833.7 15804.3 193.52

bf tf tw Ix Iy

cm4 cm4 cm2

12 13 14 15 16 17 18 19 20Perfil Compuesto

Zy J rx PP

cm cm Kgf/m

11733.14 12519.72 8947.34 1999.22 1276.55 462.43 37.084 5.79 273.82

10405.79 11290.69 7931.34 1933.67 783.30 445.78 34.544 8.38 260.43

8668.76 9766.69 6472.89 1671.48 1096.29 262.64 33.782 8.51 226.20

7865.79 8914.56 5899.34 1638.71 1045.49 309.68 30.988 8.36 223.22

6685.92 7882.18 4916.12 1465.00 966.84 198.96 30.226 8.56 197.93

5850.18 7128.37 4391.73 1468.28 958.64 209.78 27.94 8.66 190.48

5178.31 6587.60 3883.73 1374.87 917.68 159.00 27.432 8.84 175.60

4686.70 6014.05 3555.99 1366.68 893.09 196.05 24.9428 8.84 175.60

4506.44 4948.89 3457.67 953.73 609.60 169.36 25.1968 6.83 156.26

3801.80 5260.25 2834.96 1233.95 840.66 119.87 24.1554 9.09 151.79

3670.70 4227.86 2753.03 820.99 544.05 93.19 24.5618 7.01 132.00

3392.12 4703.09 2556.38 1230.67 829.19 144.02 21.6408 9.04 151.79

3277.41 3801.80 2490.83 819.35 529.30 117.34 21.9456 6.91 132.00

3097.16 4457.28 2326.96 1188.06 812.80 118.21 21.3614 9.22 142.71

2998.83 3572.38 2261.41 775.11 509.64 91.53 21.8186 7.04 123.07

2179.48 3457.67 1638.71 1102.85 775.11 93.65 18.0848 9.63 124.86

2081.16 2720.25 1594.46 691.53 462.12 66.97 18.669 7.24 105.21

1424.04 2621.93 1056.97 1009.44 740.70 64.72 15.3416 10.31 104.02

1363.40 2015.61 1029.11 596.49 419.51 38.04 16.1036 7.72 84.38

1016.00 1607.57 765.28 566.99 406.40 31.18 13.8938 8.03 75.45

988.14 1384.71 753.80 408.04 285.13 24.52 14.2494 6.48 67.41

789.86 1345.38 603.04 552.24 399.84 27.85 12.2174 8.31 69.50

770.19 1155.29 594.85 394.93 276.94 21.19 12.5984 6.71 61.46

3275.00 4715.7 2518.8 1232.5 945.3 144.0 21.5 9.0 151.6

Zx Sxc Sxt Sy ry

cm3 cm3 cm3 cm3 cm3 cm4

21 22 23 24 25 26 27 28 29Perfil I

d K A

mm mm mm mm mm

W36x150 911.00 304.00 23.90 15.90 42.98 376273.21 11238.25 285.00

W33x141 846.00 293.00 24.40 15.40 42.21 310092.41 10239.29 268.00

W33x118 835.00 292.00 18.80 14.00 36.62 245576.54 7783.53 224.00

W30x116 762.00 267.00 21.60 14.40 38.15 205202.09 6826.20 221.00

W30x99 753.00 265.00 17.00 13.20 33.57 166076.34 5327.76 188.00

W27x94 684.00 254.00 18.90 12.40 34.08 136107.68 5161.27 178.00

W27x84 678.00 253.00 16.30 11.70 31.53 118625.96 4412.05 160.00

W24x84 612.00 229.00 19.60 11.90 32.30 98646.85 3929.22 159.00

W24x84 612.00 229.00 19.60 11.90 32.30 98646.85 3929.22 159.00

W24x68 603.00 228.00 14.90 10.50 27.72 76170.35 2930.27 129.00

W24x68 603.00 228.00 14.90 10.50 27.72 76170.35 2930.27 129.00

W21x68 537.00 210.00 17.40 10.90 30.26 61602.25 2693.02 129.00

W21x68 537.00 210.00 17.40 10.90 30.26 61602.25 2693.02 129.00

W21x62 533.00 209.00 15.60 10.20 28.48 55358.78 2393.33 118.00

W21x62 533.00 209.00 15.60 10.20 28.48 55358.78 2393.33 118.00

W18x50 457.00 190.00 14.50 9.00 24.72 33298.51 1669.09 94.60

W18x50 457.00 190.00 14.50 9.00 24.72 33298.51 1669.09 94.60

W16x36 403.00 177.00 10.90 7.50 21.16 18647.17 1019.77 68.20

W16x36 403.00 177.00 10.90 7.50 21.16 18647.17 1019.77 68.20

W14x30 352.00 171.00 9.80 6.90 19.96 12112.33 815.81 57.10

W14x30 352.00 171.00 9.80 6.90 19.96 12112.33 815.81 57.10

W12x26 310.00 165.00 9.70 5.80 17.29 8491.12 720.08 49.30

W12x26 310.00 165.00 9.70 5.80 17.29 8491.12 720.08 49.30

W21X68 537.00 210.00 17.40 10.90 30.26 61602.25 2693.02 129.00

bf tf tw Ix Iy

cm4 cm4 cm2

30 31 32 33 34 35 36 37 38Perfil I Perfil C

Zy J rx PP

cm cm Kgf/m

9530.00 8260.00 1160.00 739.00 420.39 36.30 6.27 223.22 C15x33.9

8420.00 7330.00 1100.00 700.00 403.74 34.00 6.18 209.83 C15x33.9

6800.00 5890.00 841.00 534.00 220.60 33.10 5.90 175.60 C15x33.9

6200.00 5390.00 807.00 513.00 267.64 30.50 5.57 172.63 C15x33.9

5120.00 4420.00 633.00 401.00 156.92 29.80 5.32 147.33 C15x33.9

4550.00 3980.00 636.00 407.00 167.74 27.60 5.38 139.89 C15x33.9

4010.00 3490.00 544.00 348.00 116.96 27.20 5.25 125.01 C15x33.9

3670.00 3220.00 535.00 343.00 154.01 24.90 4.96 125.01 C15x33.9

3670.00 3220.00 535.00 343.00 154.01 24.90 4.96 125.01 C12x20.7

2890.00 2530.00 402.00 257.00 77.84 24.20 4.76 101.19 C15x33.9

2890.00 2530.00 402.00 257.00 77.84 24.20 4.76 101.19 C12x20.7

2620.00 2300.00 400.00 257.00 101.98 21.80 4.56 101.19 C15x33.9

2620.00 2300.00 400.00 257.00 101.98 21.80 4.56 101.19 C12x20.7

2370.00 2080.00 356.00 229.00 76.17 21.70 4.51 92.27 C15x33.9

2370.00 2080.00 356.00 229.00 76.17 21.70 4.51 92.27 C12x20.7

1650.00 1460.00 272.00 175.00 51.61 18.80 4.20 74.41 C15x33.9

1650.00 1460.00 272.00 175.00 51.61 18.80 4.20 74.41 C12x20.7

1050.00 926.00 178.00 115.00 22.68 16.50 3.86 53.57 C15x33.9

1050.00 926.00 178.00 115.00 22.68 16.50 3.86 53.57 C12x20.7

775.00 688.00 147.00 95.40 15.82 14.60 3.78 44.64 C12x20.7

775.00 688.00 147.00 95.40 15.82 14.60 3.78 44.64 C10x15.3

609.00 548.00 134.00 87.50 12.49 13.10 3.82 38.69 C12x20.7

609.00 548.00 134.00 87.50 12.49 13.10 3.82 38.69 C10x15.3

2620.00 2300.00 400.00 257.00 101.98 21.80 4.56 101.19 C15x33.9

Zx Sx Sy ry

cm3 cm3 cm3 cm3 cm4

39 40 41 42 43 44 45 46 47

d X Xp Xc K

mm mm mm mm mm mm mm mm

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

304.80 74.68 12.73 7.16 17.73 6.43 12.08 28.58 5369.39

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

304.80 74.68 12.73 7.16 17.73 6.43 12.08 28.58 5369.39

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

304.80 74.68 12.73 7.16 17.73 6.43 12.08 28.58 5369.39

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

304.80 74.68 12.73 7.16 17.73 6.43 12.08 28.58 5369.39

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

304.80 74.68 12.73 7.16 17.73 6.43 12.08 28.58 5369.39

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

304.80 74.68 12.73 7.16 17.73 6.43 12.08 28.58 5369.39

304.80 74.68 12.73 7.16 17.73 6.43 12.08 28.58 5369.39

254.00 66.04 11.07 6.10 16.10 5.69 10.90 25.40 2801.24

304.80 74.68 12.73 7.16 17.73 6.43 12.08 28.58 5369.39

254.00 66.04 11.07 6.10 16.10 5.69 10.90 25.40 2801.24

381.00 86.36 16.51 10.16 20.02 8.43 14.22 36.51 13111.29

bf tf tw Ix

cm4

48 49 50 51 52 53 54 55 56

A Zy J rx

cm cm

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

160.67 39.23 419.51 352.32 56.86 28.19 15.36 11.71 2.02

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

160.67 39.23 419.51 352.32 56.86 28.19 15.36 11.71 2.02

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

160.67 39.23 419.51 352.32 56.86 28.19 15.36 11.71 2.02

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

160.67 39.23 419.51 352.32 56.86 28.19 15.36 11.71 2.02

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

160.67 39.23 419.51 352.32 56.86 28.19 15.36 11.71 2.02

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

160.67 39.23 419.51 352.32 56.86 28.19 15.36 11.71 2.02

160.67 39.23 419.51 352.32 56.86 28.19 15.36 11.71 2.02

94.48 28.90 260.55 221.23 38.35 18.85 8.70 9.83 1.81

160.67 39.23 419.51 352.32 56.86 28.19 15.36 11.71 2.02

94.48 28.90 260.55 221.23 38.35 18.85 8.70 9.83 1.81

335.90 64.52 832.46 688.26 101.44 50.64 42.04 14.27 2.29

Iy Zx Sx Sy ry

cm4 cm2 cm3 cm3 cm3 cm3 cm4

57

PP

Kgf/m

50.45

50.45

50.45

50.45

50.45

50.45

50.45

50.45

30.80

50.45

30.80

50.45

30.80

50.45

30.80

50.45

30.80

50.45

30.80

30.80

22.77

30.80

22.77

50.45

1 2 3 4 5 6 7

Perfil Dimensiones (mm)

d bf tw tf r

1 IPE-80 80 46 3.8 5.2 52 IPE-100 100 55 4.1 5.7 73 IPE-120 120 64 4.4 6.3 74 IPE-140 140 73 4.7 6.9 75 IPE-160 160 82 5 7.4 96 IPE-180 180 91 5.3 8 97 IPE-200 200 100 5.6 8.5 128 IPE-220 220 110 5.9 9.2 129 IPE-240 240 120 6.2 9.8 15

10 IPE-270 270 135 6.6 10.2 1511 IPE-300 300 150 7.1 10.7 1512 IPE-330 330 160 7.5 11.5 1813 IPE-360 360 170 8 12.7 1814 IPE-400 400 180 8.6 13.5 2115 450 190 9.4 14.6 2116 IPE-500 500 200 10.2 16 2117 IPE-550 550 210 11.1 17.2 2418 IPE-600 600 220 12 19 2419 HEA-100 96 100 5 8 12

20 HEA-120 114 120 5 8 1221 HEA-140 133 140 5.5 8.5 12

22 HEA-160 152 160 6 9 1523 HEA-180 171 180 6 9.5 1524 HEA-200 190 200 6.5 10 1825 HEA-220 210 220 7 11 1826 HEA-240 230 240 7.5 12 2127 HEA-260 250 260 7.5 12.5 2428 HEA-280 270 280 8 13 2429 HEA-300 290 300 8.5 14 2730 HEA-320 310 300 9 15.5 27

31 HEA-340 330 300 9.5 16.5 2732 HEA-360 350 300 10 17.5 2733 HEA-400 390 300 11 19 2734 HEA-450 440 300 11.5 21 2735 HEA-500 490 300 12 23 2736 HEA-550 540 300 12.5 24 2737 HEA-600 590 300 13 25 2738 HEA-650 640 300 13.5 26 2739 HEA-700 690 300 14.5 27 27

IPE-450

40 HEA-800 790 300 15 28 3041 HEA-900 890 300 16 30 3042 HEA-1000 990 300 16.5 31 3043 HEB-100 100 100 6 10 1244 HEB-120 120 120 6.5 11 1245 HEB-140 140 140 7 12 1246 HEB-160 160 160 8 13 1547 HEB-180 180 180 8.5 14 1548 HEB-200 200 200 9 15 1849 HEB-220 220 220 9.5 16 1850 HEB-240 240 240 10 17 2151 HEB-260 260 260 10 17.5 2452 HEB-280 280 280 10.5 18 2453 HEB-300 300 300 11 19 2754 HEB-320 320 300 11.5 20.5 2755 HEB-340 340 300 12 21.5 2756 HEB-360 360 300 12.5 22.5 2757 HEB-400 400 300 13.5 24 2758 HEB-450 450 300 14 26 2759 HEB-500 500 300 14.5 28 2760 HEB-550 550 300 15 29 2761 HEB-600 600 300 15.5 30 2762 HEB-650 650 300 16 31 2763 HEB-700 700 300 17 32 2764 HEB-800 800 300 17.5 33 3065 HEB-900 900 300 18.5 35 3066 HEB-1000 1000 300 19 36 3067 VP-120 120 100 3 4.5 068 VP-140 140 100 3 6 069 VP-160 160 100 6 6 070 VP-180 180 125 4.5 6 071 VP-200 200 125 4.5 9 072 VP-250 250 150 4.5 9 073 VP-300 300 150 6 12 074 VP-350 350 175 6 12 075 VP-400 400 200 6 12 076 VP-420 420 200 9 12 077 CP-140 140 140 6 9 078 CP-160 160 160 6 9 079 CP-180 180 180 6 9 080 CP-200 200 200 9 12 081 CP-220 220 220 9 12 082 CP-240 240 240 9 12 083 CP-260 260 260 9 12 084 IPN-80 80 42 4.2 5.9 3.985 IPN-100 100 50 4.5 6.8 4.586 IPN-120 120 58 5.1 7.7 5.187 IPN-140 140 66 5.7 8.6 5.788 IPN-160 160 74 6.3 9.5 6.389 IPN-180 180 82 6.9 10.4 6.990 IPN-200 200 90 7.5 11.3 7.591 IPN-220 220 98 8.1 12.2 8.192 IPN-240 240 106 8.7 13.1 8.793 IPN-260 260 113 9.4 14.1 9.4

94 IPN-280 280 119 10.1 15.2 10.195 IPN-300 300 125 10.8 16.2 10.896 IPN-320 320 131 11.5 17.3 11.597 IPN-340 340 137 12.2 18.3 12.298 IPN-360 360 143 13 19.5 1399 IPN-380 380 149 13.7 20.5 13.7

100 IPN-400 400 155 14.4 21.6 14.4101 IPN-425 425 163 15.3 23 15.3102 IPN-450 450 170 16.2 24.3 16.2103 IPN-475 475 178 17.1 25.6 17.1104 IPN-500 500 185 18 27 18105 IPN-550 550 200 19 30 19106 IPN-600 600 215 21.6 32.4 21.6107 W44X335 1118.00 405.00 25.90 45.00108 W44X290 1108.00 402.00 22.10 40.10109 W44X262 1100.00 400.00 20.10 36.10110 W44X230 1090.00 400.00 18.00 31.00111 W40X593 1092.00 424.00 45.50 82.00112 W40X503 1068.00 417.00 39.10 70.10113 W40X431 1048.00 412.00 34.00 59.90114 W40X397 1040.00 409.00 31.00 55.90115 W40X372 1032.00 408.00 29.50 52.10116 W40X362 1030.00 407.00 28.40 51.10117 W40X324 1020.00 404.00 25.40 46.00118 W40X297 1012.00 402.00 23.60 41.90119 W40X277 1008.00 402.00 21.10 40.00120 W40X249 1000.00 400.00 19.10 36.10121 W40X215 990.00 400.00 16.50 31.00122 W40X199 982.00 400.00 16.50 27.10123 W40X392 1056.00 314.00 36.10 64.00124 W40X331 1036.00 309.00 31.00 54.00125 W40X327 1036.00 308.00 30.00 54.10126 W40X278 1020.00 304.00 25.90 46.00127 W40X264 1016.00 303.00 24.40 43.90128 W40X235 1008.00 302.00 21.10 40.00129 W40X211 1000.00 300.00 19.10 35.90130 W40X183 990.00 300.00 16.50 31.00131 W40X167 980.00 300.00 16.50 26.00132 W40X149 970.00 300.00 16.00 21.10133 W36X798 1066.00 457.00 60.50 109.00134 W36X650 1028.00 446.00 50.00 89.90135 W36X527 996.00 437.00 40.90 73.90136 W36X439 972.00 431.00 34.50 62.00137 W36X393 960.00 427.00 31.00 55.90138 W36X359 950.00 425.00 28.40 51.10139 W36X328 942.00 422.00 25.90 47.00140 W36X300 933.00 423.00 24.00 42.70141 W36X280 928.00 422.00 22.50 39.90142 W36X260 921.00 420.00 21.30 36.60143 W36X245 916.00 419.00 20.30 34.30144 W36X230 912.00 418.00 19.30 32.00145 W36X256 951.00 310.00 24.40 43.90146 W36X232 943.00 308.00 22.10 39.90147 W36X210 932.00 309.00 21.10 34.50

148 W36X194 927.00 308.00 19.40 32.00149 W36X182 923.00 307.00 18.40 30.00150 W36X170 919.00 306.00 17.30 27.90151 W36X160 915.00 305.00 16.50 25.90152 W36X150 911.00 304.00 15.90 23.90153 W36X135 903.00 304.00 15.20 20.10154 W33X387 913.00 411.00 32.00 57.90155 W33X354 903.00 409.00 29.50 53.10156 W33X318 893.00 406.00 26.40 48.00157 W33X291 885.00 404.00 24.40 43.90158 W33X263 877.00 401.00 22.10 39.90159 W33X241 868.00 403.00 21.10 35.60160 W33X221 862.00 401.00 19.70 32.40161 W33X201 855.00 400.00 18.20 29.20162 W33X169 859.00 292.00 17.00 31.00163 W33X152 851.00 294.00 16.10 26.80164 W33X141 846.00 293.00 15.40 24.40165 W33X130 840.00 292.00 14.70 21.70166 W33X118 835.00 292.00 14.00 18.80167 W30X391 843.00 396.00 34.50 62.00168 W30X357 833.00 393.00 31.50 56.90169 W30X326 823.00 390.00 29.00 52.10170 W30X292 813.00 387.00 25.90 47.00171 W30X261 803.00 385.00 23.60 41.90172 W30X235 795.00 382.00 21.10 38.10173 W30X211 786.00 384.00 19.70 33.40174 W30X191 779.00 382.00 18.00 30.10175 W30X173 773.00 381.00 16.60 27.10176 W30X148 779.00 266.00 16.50 30.00177 W30X132 770.00 268.00 15.60 25.40178 W30X124 766.00 267.00 14.90 23.60179 W30X116 762.00 267.00 14.40 21.60180 W30X108 758.00 266.00 13.80 19.30181 W30X99 753.00 265.00 13.20 17.00182 W30X90 750.00 264.00 11.90 15.50183 W27X539 826.00 387.00 50.00 89.90184 W27X368 772.00 372.00 35.10 63.00185 W27X336 762.00 370.00 32.00 57.90186 W27X307 752.00 367.00 29.50 53.10187 W27X281 744.00 364.00 26.90 49.00188 W27X258 736.00 362.00 24.90 45.00189 W27X235 728.00 360.00 23.10 40.90190 W27X217 722.00 359.00 21.10 38.10191 W27X194 714.00 356.00 19.10 34.00192 W27X178 706.00 358.00 18.40 30.20193 W27X161 701.00 356.00 16.80 27.40194 W27X146 695.00 355.00 15.40 24.80195 W27X129 702.00 254.00 15.50 27.90196 W27X114 693.00 256.00 14.50 23.60197 W27X102 688.00 254.00 13.10 21.10198 W27X94 684.00 254.00 12.40 18.90199 W27X84 678.00 253.00 11.70 16.30200 W24X370 711.00 347.00 38.60 69.10201 W24X335 699.00 343.00 35.10 63.00




364 W6X25 162.00 154.00 8.10 11.60365 W6X20 157.00 153.00 6.60 9.30366 W6X15 152.00 152.00 5.80 6.60367 W6X16 160.00 102.00 6.60 10.30368 W6X12 153.00 102.00 5.80 7.10369 W6X9 150.00 100.00 4.30 5.50370 W6X8.5 148.00 100.00 4.30 4.90371 W5X19 131.00 128.00 6.90 10.90372 W5X16 127.00 127.00 6.10 9.10373 W4X13 106.00 103.00 7.10 8.80374 S24x121 622.30 204.47 20.32 27.69 47.24375 S24x106 622.30 199.90 15.75 27.69 47.24376 S24x100 609.60 184.15 18.92 22.10 40.39377 S24x90 609.60 181.10 15.88 22.10 40.64378 S24x80 609.60 177.80 12.70 22.10 40.89379 S20x96 515.62 182.88 20.32 23.37 41.40380 S20x86 515.62 179.32 16.76 23.37 41.40381 S20x75 508.00 162.31 16.13 20.19 36.32382 S20x66 508.00 159.00 12.83 20.19 36.58383 S18x70 457.20 158.75 18.06 17.55 34.54384 S18x54.7 457.20 152.40 11.71 17.55 34.80385 S15x50 381.00 143.26 13.97 15.80 32.00386 S15x42.9 381.00 139.70 10.44 15.80 32.00387 S12x50 304.80 139.19 17.45 16.74 31.75388 S12x40.8 304.80 133.35 11.73 16.74 31.50389 S12x35 304.80 129.03 10.87 13.82 29.46390 S12x31.8 304.80 127.00 8.89 13.82 29.46391 S10x35 254.00 125.48 15.09 12.47 27.94392 S10x25.4 254.00 118.36 7.90 12.47 27.69393 S8x23 203.20 105.92 11.20 10.80 24.13394 S8x18.4 203.20 101.60 6.88 10.80 24.13395 S7x20 177.80 98.04 11.43 9.96 22.35396 S7x15.3 177.80 93.01 6.40 9.96 22.10397 S6x17.25 152.40 90.68 11.81 9.12 20.57398 S6x12.5 152.40 84.58 5.89 9.12 20.07399 S5x14.75 127.00 83.41 12.55 8.28 18.80400 S5x10 127.00 76.20 5.44 8.28 18.29401 S4x9.5 101.60 71.12 8.28 7.44 16.51402 S4x7.7 101.60 67.56 4.90 7.44 16.26403 S3x7.5 76.20 63.75 8.86 6.60 14.99404 S3x5.7 76.20 59.18 4.32 6.60 14.48373 W4X13 106.00 103.00 7.10 8.80

SecciónDimensiones (mm)

d r

1 C15x50 381 94.488 18.1864 16.51

2 C15x40 381 89.408 13.208 16.51

3 C15x33.9 381 86.36 10.16 16.51

4 C12x30 304.8 80.518 12.954 12.7254

5 C12x25 304.8 77.47 9.8298 12.7254

6 C12x20.7 304.8 74.676 7.1628 12.7254

7 C10x30 254 76.962 17.0942 11.0744

bf tw tf

8 C10x25 254 73.406 13.3604 11.0744

9 C10x20 254 69.596 9.6266 11.0744

10 C10x15.3 254 66.04 6.096 11.0744

11 C9x20 228.6 67.31 11.3792 10.4902

12 C9x15 228.6 63.246 7.239 10.4902

13 C9x13.4 228.6 61.722 5.9182 10.4902

14 C8x18.75 203.2 64.262 12.3698 9.906

15 C8x13.75 203.2 59.436 7.6962 9.906

16 C8x11.5 203.2 57.404 5.588 9.906

17 C7x14.7 177.8 58.42 10.6426 9.2964

18 C7x12.25 177.8 55.626 7.9756 9.2964

19 C7x9.8 177.8 53.086 5.334 9.2964

20 C6x13 152.4 54.864 11.0998 8.7122

21 C6x10.5 152.4 51.562 7.9756 8.7122

22 C6x8.2 152.4 48.768 5.08 8.7122

23 C5x9 127 48.006 8.255 8.128

24 C5x6.7 127 44.45 4.826 8.128

25 C4x7.25 101.6 43.688 8.1534 7.5184

26 C4x5.4 101.6 40.132 4.6736 7.5184

27 C4x4.5 101.6 4013.2 3.175 7.5184

28 C3x6 76.2 40.64 9.0424 6.9342

29 C3x5 76.2 38.1 6.5532 6.9342

30 C3x4.1 76.2 35.814 4.318 6.9342

31 C3x3.5 76.2 34.798 3.3528 6.9342

Secciónd Y2 Yc

1 W36x150 + MC18x42.7 923.29 0 0 0 368.3

2 W36x150 + C15x33.9 922.02 0 0 0 383.54

3 W33x141 + MC18x42.7 857.25 0 0 0 337.82

4 W33x141 + C15x33.9 855.98 0 0 0 353.06

5 W33x118 + MC18x42.7 847.09 0 0 0 320.04

6 W33x118 + C15x33.9 845.82 0 0 0 337.82

7 W30x116 + MC18x42.7 773.43 0 0 0 292.1

8 W30x116 + C15x33.9 772.16 0 0 0 307.34

9 W30x99 + MC18x42.7 765.81 0 0 0 276.86

10 W30x99 + C15x33.9 764.54 0 0 0 292.1

11 W27x94 + C15x33.9 693.42 0 0 0 264.16

12 W27x84 + C15x33.9 688.34 0 0 0 254

13 W24x84 + C15x33.9 622.3 0 0 0 231.14

14 W24x84 + C12x20.7 619.3028 0 0 0 254

15 W24x68 + C15x33.9 612.14 0 0 0 214.884

16 W24x68 + C12x20.7 609.1428 0 0 0 241.046

17 W21x68 + C15x33.9 547.16 0 0 0 192.786

18 W21x68 + C12x20.7 544.1628 0 0 0 215.646

19 W21x62 + C15x33.9 543.56 0 0 0 186.182

20 W21x62 + C12x20.7 540.5628 0 0 0 209.804

Dimensiones (mm)

bf tw tf

21 W18x50 + C15x33.9 467.36 0 0 0 150.368

22 W18x50 + C12x20.7 464.3628 0 0 0 171.704

23 W16x36 + C15x33.9 414.02 0 0 0 118.618

24 W16x36 + C12x20.7 411.0228 0 0 0 138.938

25 W14x30 + C12x20.7 357.6828 0 0 0 115.57

26 W14x30 + C10x15.3 356.616 0 0 0 126.238

27 W12x26 + C12x20.7 317.0428 0 0 0 98.298

28 W12x26 + C10x15.3 315.976 0 0 0 107.696

SecciónDimensiones (in)

d r1 C15x50 15 3.72 0.716 0.652 C15x40 15 3.52 0.52 0.653 C15x33.9 15 3.4 0.4 0.654 C12x30 12 3.17 0.51 0.5015 C12x25 12 3.05 0.387 0.5016 C12x20.7 12 2.94 0.282 0.5017 C10x30 10 3.03 0.673 0.4368 C10x25 10 2.89 0.526 0.4369 C10x20 10 2.74 0.379 0.436

10 C10x15.3 10 2.6 0.24 0.43611 C9x20 9 2.65 0.448 0.41312 C9x15 9 2.49 0.285 0.41313 C9x13.4 9 2.43 0.233 0.41314 C8x18.75 8 2.53 0.487 0.3915 C8x13.75 8 2.34 0.303 0.3916 C8x11.5 8 2.26 0.22 0.3917 C7x14.7 7 2.3 0.419 0.36618 C7x12.25 7 2.19 0.314 0.36619 C7x9.8 7 2.09 0.21 0.36620 C6x13 6 2.16 0.437 0.34321 C6x10.5 6 2.03 0.314 0.34322 C6x8.2 6 1.92 0.2 0.34323 C5x9 5 1.89 0.325 0.3224 C5x6.7 5 1.75 0.19 0.3225 C4x7.25 4 1.72 0.321 0.29626 C4x5.4 4 1.58 0.184 0.29627 C4x4.5 4 158 0.125 0.29628 C3x6 3 1.6 0.356 0.27329 C3x5 3 1.5 0.258 0.27330 C3x4.1 3 1.41 0.17 0.27331 C3x3.5 3 1.37 0.132 0.273

Secciónd Y2 Yc

1 W36x150 + MC18x42.7 36.35 14.52 W36x150 + C15x33.9 36.3 15.13 W33x141 + MC18x42.7 33.75 13.34 W33x141 + C15x33.9 33.7 13.9

bf tw tf

Dimensiones (in)

bf tw tf

5 W33x118 + MC18x42.7 33.35 12.66 W33x118 + C15x33.9 33.3 13.37 W30x116 + MC18x42.7 30.45 11.58 W30x116 + C15x33.9 30.4 12.19 W30x99 + MC18x42.7 30.15 10.9

10 W30x99 + C15x33.9 30.1 11.511 W27x94 + C15x33.9 27.3 10.412 W27x84 + C15x33.9 27.1 1013 W24x84 + C15x33.9 24.5 9.114 W24x84 + C12x20.7 24.382 1015 W24x68 + C15x33.9 24.1 8.4616 W24x68 + C12x20.7 23.982 9.4917 W21x68 + C15x33.9 7.5918 W21x68 + C12x20.7 8.4919 W21x62 + C15x33.9 21.4 7.3320 W21x62 + C12x20.7 21.282 8.2621 W18x50 + C15x33.9 18.4 5.9222 W18x50 + C12x20.7 18.282 6.7623 W16x36 + C15x33.9 16.3 4.6724 W16x36 + C12x20.7 16.182 5.4725 W14x30 + C12x20.7 14.082 4.5526 W14x30 + C10x15.3 14.04 4.9727 W12x26 + C12x20.7 12.482 3.8728 W12x26 + C10x15.3 12.44 4.24

Perfil Dimensiones (mm)

d bf tw tf rW, S, M, and HP Section Properties from AISC Version 3.0 CD Database (2001) and AISC 9th Edition Manual (1989)

Shape d bf tw tf rtS24x121 24.5 8.05 0.8 1.09 1.86S24x106 24.5 7.87 0.62 1.09 1.86S24x100 24 7.25 0.745 0.87 1.59S24x90 24 7.13 0.625 0.87 1.6

S24x80 24 7 0.5 0.87 1.61

S20x96 20.3 7.2 0.8 0.92 1.63

S20x86 20.3 7.06 0.66 0.92 1.63

S20x75 20 6.39 0.635 0.795 1.43S20x66 20 6.26 0.505 0.795 1.44S18x70 18 6.25 0.711 0.691 1.36

S18x54.7 18 6 0.461 0.691 1.37S15x50 15 5.64 0.55 0.622 1.26

S15x42.9 15 5.5 0.411 0.622 1.26S12x50 12 5.48 0.687 0.659 1.25

S12x40.8 12 5.25 0.462 0.659 1.24S12x35 12 5.08 0.428 0.544 1.16

S12x31.8 12 5 0.35 0.544 1.16S10x35 10 4.94 0.594 0.491 1.1

S10x25.4 10 4.66 0.311 0.491 1.09

B559

Note: The shapes and data listed below in "RED" are shapes that are in the original AISC 9th Edition (ASD) Manual, but are now not listed in the current AISC Shapes Database CD-ROM, Version 3.0 (2001). The shapes and data listed below in "GREEN" are shapes that are not in the original AISC 9th Edition (ASD) Manual, having been added in the current AISC Shapes Database CD-ROM, Version 3.0 (2001).

S8x23 8 4.17 0.441 0.425 0.95S8x18.4 8 4 0.271 0.425 0.95S7x20 7 3.86 0.45 0.392 0.88

S7x15.3 7 3.662 0.252 0.392 0.87S6x17.25 6 3.57 0.465 0.359 0.81S6x12.5 6 3.33 0.232 0.359 0.79

S5x14.75 5 3.284 0.494 0.326 0.74S5x10 5 3 0.214 0.326 0.72

S4x9.5 4 2.8 0.326 0.293 0.65

S4x7.7 4 2.66 0.193 0.293 0.64S3x7.5 3 2.51 0.349 0.26 0.59S3x5.7 3 2.33 0.17 0.26 0.57

Shape d bf tw tf rt

212 W24X117 616.00 325.00 14.00 21.60

S24x121 622.30 204.47 20.32 27.69 47.24 S24x106 622.30 199.90 15.75 27.69 47.24 S24x100 609.60 184.15 18.92 22.10 40.39 S24x90 609.60 181.10 15.88 22.10 40.64 S24x80 609.60 177.80 12.70 22.10 40.89 S20x96 515.62 182.88 20.32 23.37 41.40 S20x86 515.62 179.32 16.76 23.37 41.40 S20x75 508.00 162.31 16.13 20.19 36.32 S20x66 508.00 159.00 12.83 20.19 36.58 S18x70 457.20 158.75 18.06 17.55 34.54

S18x54.7 457.20 152.40 11.71 17.55 34.80 S15x50 381.00 143.26 13.97 15.80 32.00

S15x42.9 381.00 139.70 10.44 15.80 32.00 S12x50 304.80 139.19 17.45 16.74 31.75

S12x40.8 304.80 133.35 11.73 16.74 31.50 S12x35 304.80 129.03 10.87 13.82 29.46

S12x31.8 304.80 127.00 8.89 13.82 29.46 S10x35 254.00 125.48 15.09 12.47 27.94

S10x25.4 254.00 118.36 7.90 12.47 27.69 S8x23 203.20 105.92 11.20 10.80 24.13

S8x18.4 203.20 101.60 6.88 10.80 24.13 S7x20 177.80 98.04 11.43 9.96 22.35

S7x15.3 177.80 93.01 6.40 9.96 22.10 S6x17.25 152.40 90.68 11.81 9.12 20.57 S6x12.5 152.40 84.58 5.89 9.12 20.07

S5x14.75 127.00 83.41 12.55 8.28 18.80 S5x10 127.00 76.20 5.44 8.28 18.29 S4x9.5 101.60 71.12 8.28 7.44 16.51 S4x7.7 101.60 67.56 4.90 7.44 16.26 S3x7.5 76.20 63.75 8.86 6.60 14.99 S3x5.7 76.20 59.18 4.32 6.60 14.48

B593

Note: The shapes and data listed below in "RED" are shapes that are in the original AISC 9th Edition (ASD) Manual, but are now not listed in the current AISC Shapes Database CD-ROM, Version 3.0 (2001). The shapes and data listed below in "GREEN" are shapes that are not in the original AISC 9th Edition (ASD) Manual, having been added in the current AISC Shapes Database CD-ROM, Version 3.0 (2001).

8 9

Momento Modulo Radio de Momento

Peso de de giro de

Kg/m Inercia Sección X InerciaIx Sx rx Iy

K

10.2 7.64 6 80.1 20 3.24 8.4812.7 10.3 8.1 171 34.2 4.07 15.913.3 13.2 10.4 318 53 4.9 27.613.9 16.4 12.9 541 77.3 5.74 44.916.4 20.1 15.8 869 109 6.58 68.217 23.9 18.8 1320 146 7.42 101

20.5 28.5 22.4 1940 194 8.26 14221.2 33.4 26.2 2770 252 9.11 20524.8 39.1 30.7 3890 324 9.97 28325.2 45.9 36.1 5790 429 11.2 41925.7 53.8 42.2 8360 557 12.5 60329.5 62.6 49.1 11800 713 13.7 78730.7 72.7 57.1 16300 904 15 104034.5 84.5 66.3 23100 1160 16.5 132035.6 98.8 77.6 33700 1500 18.5 167037 116 90.7 48200 1930 20.4 2140

41.2 134 106 67100 2440 22.3 266043 156 122 92100 3070 24.3 338020 21.2 16.7 349 72.7 4.05 134

20 25.3 19.9 606 106 4.89 23120.5 31.4 27.7 1030 155 5.73 389

24 38.8 30.4 1670 220 6.57 61524.5 45.3 35.5 2510 294 7.45 92428 53.8 42.3 3690 389 8.28 133029 64.3 50.5 5410 515 9.17 195033 76.8 60.3 7760 675 10.1 2770

36.5 86.8 68.2 10500 836 11 366037 97.3 76.4 13700 1010 11.9 476041 113 88.3 18300 1260 12.7 6310

42.5 124 97.6 22900 1480 13.6 6980

43.5 133 105 27700 1680 14.4 743044.5 143 112 33100 1890 15.2 788046 159 125 45100 2310 16.8 856048 178 140 63700 2900 18.9 946050 198 155 87000 3550 21 1040051 212 166 112000 4150 23 1080052 226 178 141000 4790 25 1130053 242 190 175000 5470 26.9 1170054 260 204 215000 6240 28.7 12200

Área

cm2

cm4 cm3 cm cm4

58 286 224 303000 7680.00 32.60 12600.0060 321 252 422000 9480 36.3 1350061 347 272 554000 11200 40 1400022 26 20.4 449 89.9 4.15 16723 34 26.7 864 144 5.04 31724 43 33.7 1510 216 5.93 54928 54.3 42.6 2490 311 6.78 88929 65.3 51.2 3830 426 7.66 136033 78.1 61.3 5700 570 8.54 200034 91 71.5 8090 736 9.43 284038 106 83.2 11300 938 10.3 3920

41.5 118 93 14900 1150 11.2 513042 131 103 19300 1380 12.1 659046 149 117 25200 1680 13 8560

47.5 161 127 30800 1930 13.8 923048.5 171 134 36700 2160 14.6 968049.5 181 142 43200 2400 15.5 1010051 198 155 57700 2880 17.1 1080053 218 171 79900 3550 19.1 1170055 239 187 107000 4290 21.2 1260056 254 199 137000 4970 23.2 1310057 270 212 171000 5700 25.2 1350058 286 225 211000 6480 27.1 1400059 306 241 257000 7340 29 1440063 334 262 359000 8980 32.8 1490065 371 291 494000 11000 36.5 1580066 400 314 645000 12900 40.1 163004.5 12.3 9.7 335 55.7 5.21 756 15.8 12.4 592 84.5 6.11 1006 20.9 16.4 874 109 6.47 1006 22.6 17.7 1310 146 7.43 1959 30.7 24.1 2280 228 8.62 2939 37.4 29.4 4390 351 10.8 506

12 52.6 41.3 8520 568 12.7 67612 61.6 48.3 13700 785 14.9 107012 70.6 55.4 20700 1040 17.1 160012 83.6 65.7 24600 1170 17.2 16009 32.5 25.5 1170 168 6 4129 37.3 29.3 1790 223 6.92 6159 42.1 33.1 2580 287 7.83 875

12 63.8 50.1 4660 466 8.54 160012 70.4 55.3 6280 571 9.44 213012 77 60.4 8250 687 10.4 277012 83.6 65.7 10600 815 11.3 35209.8 7.77 6.1 78.4 19.6 3.18 6.29

11.3 10.6 8.34 170 34.1 4 12.112.8 14.2 11.1 327 54.5 4.8 21.414.3 18.2 14.3 572 81.8 5.6 35.115.8 22.8 17.9 935 117 6.4 54.717.3 27.9 21.9 450 161 7.2 81.318.8 33.4 26.2 2140 214 8 11720.3 39.5 31.1 3060 278 8.8 16221.8 46.1 36.2 4250 354 9.59 22123.5 53.3 41.9 5740 442 10.4 288

25.3 61 47.9 5790 542 11.1 36427 69 54.2 9800 653 11.9 451

28.8 77.7 61 12510 782 12.7 55530.5 86.7 68 15700 923 13.5 67432.5 97 76.1 19610 1090 14.2 81834.2 107 84 5410 1260 15 97536 118 92.4 29210 1460 15.7 1160

38.3 132 104 36970 1740 16.7 144040.5 147 115 45850 2040 17.7 173042.7 163 128 56480 2380 18.6 209045 179 141 68740 2750 19.6 248049 212 166 99180 3610 21.6 349054 254 199 139000 4630 23.4 4670

65.10 634 499 1294480 23100 45.2 4994860.27 553 432 1127987 20400 45.2 4370456.20 498 390 1007280 18300 45 3858551.11 437 342 865761 15900 44.6 33132

112.15 1130 882 2097806 38400 43.2 104890100.19 955 749 1735685 32500 42.6 8532790.02 818 641 1448485 27700 42.1 7034385.95 753 591 1331941 25600 42.1 6410082.14 706 554 1232045 23900 41.8 5910581.12 687 539 1202909 23300 41.8 5744076.04 615 482 1065552 20900 41.7 5078071.97 564 442 965657 19100 41.4 4536970.19 525 412 911547 18100 41.6 4328866.12 473 371 815814 16300 41.5 3854361.03 409 320 695106 14100 41.3 3313257.22 377 296 620185 12600 40.5 2892894.09 744 583 1244532 23600 40.9 3342384.17 629 493 1028092 19800 40.4 2680584.17 619 487 1019767 19700 40.6 2663976.04 528 414 853274 16700 40.2 2168674.00 500 393 807489 15900 40.2 2052070.19 445 350 724243 14300 40.3 1848166.12 400 314 645159 12900 40.1 1623361.03 347 272 553588 11200 40 1398556.20 317 249 482828 9830 39 1177951.11 283 222 407907 8400 38 9532

133.25 1510 1188 2605609 48900 41.5 174817114.18 1230 967 2035372 39600 40.6 13444398.16 998 784 1594166 32000 40 10364286.21 832 653 1290317 26600 39.4 8283080.10 746 585 1144636 23800 39.2 7284075.27 680 534 1032254 21700 38.9 6534871.20 622 488 936521 19900 38.8 5910566.88 570 446 844950 18200 38.6 5411064.08 532 417 786677 16900 38.4 4994860.78 493 387 720080 15600 38.2 4536958.49 465 365 670133 14700 38 4203956.20 436 342 624347 13700 37.9 3912663.07 486 381 699269 14700 37.9 2197759.00 439 345 624347 13300 37.7 1948053.66 399 313 549425 11800 37.1 17107

51.11 368 289 503640 10900 37 1560949.08 346 271 470342 10200 36.9 1444347.05 323 253 437043 9510 36.8 1331945.01 304 238 406242 8880 36.6 1227942.98 285 223 376273 8260 36.3 1123839.16 256 201 324661 7190 35.6 936578.07 735 576 1011442 22200 37.1 6742973.24 672 527 915709 20300 36.9 6077068.15 604 473 811651 18200 36.7 5369464.08 553 433 736730 16600 36.5 4828360.01 500 391 661808 15100 36.3 4328855.69 458 359 591049 13600 35.9 3883452.39 420 329 536939 12400 35.7 3496349.33 382 299 482828 11200 35.5 3117648.83 319 251 386679 9000 34.8 1290344.76 289 226 339645 7980 34.3 1136342.21 268 210 310092 7330 34 1023939.67 247 193 279291 6650 33.6 907436.62 224 176 245577 5890 33.1 778482.14 743 582 861599 20400 34.1 6451677.05 677 531 778353 18600 33.9 5785672.22 618 485 699269 17000 33.6 5161367.14 554 435 620185 15200 33.4 4578562.05 496 388 545263 13600 33.2 3991758.23 446 350 486991 12300 33 3558853.40 401 314 428718 10900 32.7 3150950.10 363 284 382933 9830 32.5 2801247.05 329 257 342558 8860 32.3 2489146.54 281 220 278043 7140 31.5 944841.96 251 196 240166 6230 30.9 815840.18 235 185 223100 5820 30.8 753438.15 221 173 205202 5390 30.5 682635.86 205 161 186055 4910 30.1 607733.57 188 147 166076 4420 29.8 532832.04 170 134 150260 4010 29.7 4787

110.11 1020 802 1065552 25800 32.2 8782583.16 699 548 674295 17400 31 5452678.07 638 500 607698 15900 30.8 4911573.24 583 457 545263 14500 30.6 4370469.17 535 418 495315 13300 30.5 3966765.10 490 384 449530 12200 30.3 3575461.03 448 350 403744 11100 30 3200858.23 413 323 370862 10300 30 2930354.17 369 289 327158 9160 29.8 2576550.35 339 265 292194 8270 29.4 2310147.55 307 240 262642 7500 29.2 2068744.76 278 217 235587 6780 29.1 1843943.23 244 192 198126 5650 28.5 765938.91 216 170 169822 4910 28 661836.36 194 152 150676 4380 27.9 578634.08 178 140 136108 3980 27.6 516131.53 160 125 118626 3490 27.2 441281.88 702 551 557750 15700 28.2 4828375.78 635 499 495315 14200 27.9 42872

70.70 579 455 445368 12900 27.7 3825265.86 529 415 399582 11800 27.5 3425660.78 474 372 353380 10600 27.3 3013556.71 434 341 318417 9630 27.1 2709752.64 392 308 283870 8690 26.9 2405849.84 363 286 260561 8050 26.8 2206046.79 333 262 236419 7380 26.6 1993743.74 308 241 215192 6780 26.4 1843940.43 277 217 190634 6070 26.2 1627537.13 249 195 167325 5380 25.9 1415234.33 222 174 147346 4780 25.8 1236231.79 198 155 129032 4230 25.6 1078037.64 195 153 124869 4010 25.3 495335.09 179 140 112382 3640 25.1 453732.30 159 125 98647 3220 24.9 392930.01 144 113 87409 2880 24.6 343427.72 129 101 76170 2530 24.2 293030.26 118 92 64932 2160 23.5 143628.23 105 82 56607 1890 23.2 121154.17 382 299 221019 7560 24.1 2256050.35 346 271 196877 6830 23.9 2010447.30 315 247 178147 6230 23.8 1810641.96 279 219 151092 5400 23.3 1565039.16 250 196 134027 4840 23.2 1386137.13 231 182 123205 4480 23.1 1269535.09 211 165 111134 4070 23 1140533.06 192 150 100728 3710 22.9 1032336.36 176 138 86160 3140 22.1 386734.08 157 124 76170 2800 22 338831.53 139 109 66597 2470 21.9 293930.26 129 101 61602 2300 21.8 269328.48 118 92 55359 2080 21.7 239325.94 105 82 47450 1800 21.3 201523.65 91.2 71 39917 1520 20.9 161129.24 108 85 48699 1820 21.2 127426.45 94.9 74 40957 1550 20.8 103624.16 83.7 65 35088 1340 20.5 86250.61 331 260 143600 5640 20.8 1627546.79 299 235 127367 5080 20.6 1444343.74 271 213 114464 4620 20.5 1294540.69 247 193 102393 4190 20.4 1157137.13 226 177 91155 3780 20.1 1053134.08 201 158 79500 3350 19.9 915732.30 184 144 72840 3080 19.9 836629.75 163 128 63683 2720 19.7 728427.46 144 113 55359 2400 19.6 632730.77 135 106 48699 2080 19 251029.24 123 97 44537 1910 19 228127.97 114 89 40957 1770 19 208526.19 105 82 37045 1610 18.8 186924.72 94.6 74 33299 1460 18.8 166925.68 87.3 68 29636 1290 18.4 93723.57 75.9 60 25473 1120 18.3 79521.03 66.4 52 21228 944 17.9 637

42.98 192 149 62435 2900 18 774240.18 171 132 54526 2570 17.9 678537.38 148 115 46618 2230 17.8 574434.84 129 100 40374 1950 17.7 495328.48 108 85 31550 1510 17.1 179426.19 95.1 74 27430 1330 17 154824.59 85.6 67 24391 1190 16.9 136523.07 76 60 21561 1060 16.8 120321.16 68.2 54 18647 926 16.5 102021.41 58.9 46 15609 774 16.3 51619.00 49.6 39 12529 630 15.9 399

145.46 1530 1202 665970 22900 20.8 229344140.12 1380 1086 595211 21000 20.8 196461130.20 1260 990 516127 18900 20.3 173569121.05 1150 900 449530 17000 19.8 153173112.40 1040 818 392506 15300 19.4 135275104.26 948 744 341726 13700 19 11987596.89 863 677 299270 12400 18.6 10655592.31 808 634 274713 11600 18.4 9823187.48 755 592 249739 10800 18.2 9032282.90 702 551 226430 9950 18 8283078.07 649 509 203953 9150 17.7 7533872.73 590 463 180228 8280 17.5 6701367.90 537 421 159833 7520 17.2 5993763.32 488 382 141519 6800 17 5369459.00 442 347 125286 6140 16.8 4786754.93 400 314 110718 5540 16.6 4287251.88 366 287 99896 5080 16.5 3875148.57 334 262 89074 4610 16.3 3488045.52 302 237 79084 4160 16.2 3113442.98 275 216 71176 3800 16.1 2817941.45 250 196 63683 3420 16 2280939.16 228 179 57440 3110 15.9 2060337.13 207 162 51613 2830 15.8 1860635.09 188 147 46202 2570 15.7 1673333.31 171 134 41582 2340 15.6 1506836.87 155 122 36670 2020 15.4 616035.09 141 110 33090 1840 15.3 557833.31 129 101 30052 1690 15.3 503631.53 116 91 26639 1510 15.2 445431.79 101 79 22518 1270 15 240230.26 91.2 71 20146 1150 14.9 213928.48 81.4 64 17815 1030 14.8 188123.27 72 57 16025 896 14.9 111121.74 64.5 51 14152 796 14.8 97019.96 57.1 45 12112 688 14.6 81620.85 49.6 39 10198 578 14.3 37118.69 41.9 33 8283 475 14.1 29190.28 637 500 168990 7910 16.3 4953283.92 578 454 147762 7120 16 4370478.07 528 415 129448 6440 15.7 3900172.48 478 375 113215 5780 15.4 3446467.90 437 342 100728 5260 15.2 3088463.58 399 313 89074 4780 15 27638

59.25 360 283 78668 4310 14.8 2451654.93 323 253 68678 3840 14.6 2151950.86 289 226 59521 3420 14.4 1889747.05 258 202 51613 3040 14.2 1656643.23 228 179 44537 2680 14 1436040.43 201 158 38834 2370 13.9 1252938.15 182 143 34672 2150 13.8 1123835.86 165 129 30801 1940 13.7 1003133.82 150 118 27555 1750 13.6 899132.30 136 107 24849 1600 13.5 811730.52 123 97 22185 1440 13.4 724231.53 110 86 19771 1280 13.4 445429.75 100 79 17690 1160 13.3 398728.99 94.2 74 16275 1050 13.2 234327.46 84.7 67 14485 945 13.1 208125.94 75.3 60 12778 843 13 183620.85 66.7 52 11863 747 13.3 102018.82 56.7 45 9906 633 13.2 84517.29 49.3 39 8491 548 13.1 72018.44 41.8 33 6493 416 12.5 19416.53 36 28 5411 350 12.3 15714.37 30.4 24 4287 281 11.9 11713.35 26.8 21 3688 244 11.7 9844.50 213 167 29802 2070 11.8 982341.20 190 149 25931 1840 11.7 861637.89 167 131 22227 1610 11.5 745134.84 146 115 18939 1410 11.4 641032.30 129 101 16400 1240 11.3 557830.01 114 89 14193 1090 11.2 482828.48 102 80 12612 983 11.1 428726.96 93.1 73 11321 895 11 388828.48 85.6 67 10323 805 11 222326.19 74 58 8699 691 10.8 187323.78 62.6 49 7118 574 10.6 152320.60 57 45 7076 532 11.1 69518.82 49.1 39 5994 458 11.1 58716.78 41.8 33 4912 381 10.8 47517.67 36.2 28 4008 308 10.5 17916.02 32.2 25 3409 265 10.3 14814.50 28.5 22 2868 226 10 12012.97 22.8 18 2239 179 9.91 9133.82 127 100 11321 990 9.44 368830.52 110 86 9490 853 9.27 312627.46 90.9 71 7659 709 9.17 253524.26 75.7 60 6077 581 8.97 204422.61 66.3 52 5286 511 8.91 177321.08 58.8 46 4579 450 8.81 154421.84 53.2 42 4079 398 8.76 90320.19 45.7 36 3442 342 8.69 76217.80 39.8 31 3134 298 8.88 40716.02 34 27 2576 249 8.71 33215.64 28.6 22 1998 194 8.35 14214.11 24.8 19 1648 162 8.16 11412.84 19.1 15 1282 128 8.19 87

19.17 47.5 37 2231 275 6.85 71216.89 38 30 1727 220 6.74 55414.22 28.7 22 1220 160 6.51 38816.66 30.6 24 1336 168 6.61 18413.48 22.9 18 920 120 6.33 12411.82 17.3 13 683 91.1 6.29 9211.29 16.2 13 616 83.3 6.17 8218.56 35.9 28 1095 167 5.52 38016.78 30.4 24 891 140 5.42 313

15.13 24.7 19 470 89.4 4.37 16150.80 229.03 179.65 131529.13 4227.86 23.95 3454.7250.80 200.64 157.38 122372.04 3932.90 24.66 3196.6644.45 189.03 148.27 99063.08 3261.03 22.89 1972.9444.45 170.97 134.10 93652.07 3064.38 23.39 1860.5544.45 151.61 118.92 87408.60 2867.74 24.05 1748.1744.45 181.94 142.71 69510.65 2703.87 19.58 2076.9944.45 163.23 128.03 65348.33 2539.99 20.04 1939.6441.28 141.94 111.33 53277.62 2097.54 19.35 1227.8841.28 125.16 98.17 49531.54 1950.06 19.89 1144.6438.10 132.26 103.74 38418.16 1687.87 17.02 998.9638.10 103.23 80.97 33340.14 1458.45 17.96 861.6034.93 94.84 74.39 20187.22 1060.24 14.61 649.3234.93 81.29 63.76 18563.92 973.39 15.11 595.2136.51 94.19 73.88 12611.81 829.19 11.56 649.3236.51 76.77 60.22 11238.25 739.06 12.09 561.9130.16 65.81 51.62 9490.08 624.35 11.99 409.5730.16 60.06 47.11 9032.22 593.21 12.27 388.3428.58 66.45 52.12 6118.60 481.78 9.60 345.4728.58 48.06 37.70 5119.65 403.12 10.34 280.1225.40 43.61 34.21 2693.02 265.47 7.85 177.7325.40 34.84 27.33 2393.33 235.97 8.28 153.5923.81 37.94 29.76 1764.82 198.28 6.83 131.9523.81 29.03 22.77 1527.57 172.06 7.26 109.8920.64 32.65 25.61 1090.53 143.22 5.79 95.3220.64 23.61 18.52 915.71 120.28 6.22 74.9220.64 28.00 21.96 632.67 99.80 4.75 69.5119.05 18.90 14.83 511.96 80.30 5.21 49.5319.05 18.00 14.12 281.37 55.39 3.96 36.9219.05 14.58 11.44 251.82 49.65 4.17 31.1315.88 14.19 11.13 121.12 31.79 2.92 24.0615.88 10.71 8.40 104.06 27.37 3.12 18.61

15.13 24.7 19 470 89.4 4.37 161

Dimensiones (mm) Peso

K Kgf/m36.5125 94.83852 74.41 16815.75 881.62 13.31 457.85

36.5125 76.12888 59.53 14484.85 762.00 13.84 381.68

36.5125 64.516 50.45 13111.29 688.26 14.27 335.90

28.575 56.838596 44.64 6742.95 442.45 10.90 213.11

28.575 47.354744 37.20 5993.73 393.29 11.25 185.22

28.575 39.225728 30.80 5369.39 352.32 11.71 160.67

25.4 56.838596 44.64 4287.18 339.21 8.69 163.58

Área Ix Sx rx Iy

cm2 cm4 cm3 cm cm4

25.4 47.354744 37.20 3791.87 298.24 8.94 139.02

25.4 37.870892 29.76 3284.07 258.92 9.30 116.54

25.4 28.903168 22.77 2801.24 221.23 9.83 94.48

25.4 37.870892 29.76 2534.85 221.23 8.18 100.31

25.4 28.451556 22.32 2122.78 185.17 8.64 79.50

25.4 25.419304 19.94 1989.59 173.70 8.86 72.84

23.8125 35.548316 27.90 1827.26 180.26 7.16 82.00

23.8125 26.064464 20.46 1502.60 147.81 7.59 63.27

23.8125 21.741892 17.11 1352.75 133.39 7.90 54.53

22.225 27.935428 21.88 1132.15 127.49 6.38 57.02

22.225 23.22576 18.23 1007.28 113.40 6.60 48.28

22.225 18.516092 14.58 882.41 99.47 6.91 39.83

20.6375 24.580596 19.35 720.08 94.72 5.41 43.70

20.6375 19.870928 15.63 628.51 82.59 5.64 35.80

20.6375 15.419324 12.20 545.26 71.28 5.94 28.60

19.05 17.032224 13.39 370.03 58.34 4.65 25.97

19.05 12.709652 9.97 311.34 49.00 4.95 19.56

19.05 13.741908 10.79 190.63 37.53 3.73 17.69

19.05 10.193528 8.04 160.25 31.46 3.96 12.99

19.05 8.903208 6.70 151.92 29.99 4.14 12.03

17.4625 11.354816 8.93 86.16 22.61 2.74 12.49

17.4625 9.483852 7.44 77.00 20.16 2.84 10.03

17.4625 7.74192 6.10 68.68 18.03 2.97 7.95

17.4625 7.74192 6.10 68.68 18.0257704 2.97 7.95

Peso Sxc Sxt

Y1 Yt K Kgf/m553.72 0 366.45 287.22 499477.71 13617.65 9062.05

535.94 0 349.68 273.82 478666.14 12519.72 8947.34

518.16 0 349.03 273.82 416231.43 12290.30 8029.66

502.92 0 332.26 260.43 398749.71 11290.69 7931.34

525.78 0 304.52 239.59 344639.62 10749.91 6554.83

508 0 287.74 226.20 328822.83 9766.69 6472.89

480.06 0 301.93 236.62 287199.68 9799.46 5981.28

464.82 0 284.52 223.22 274296.51 8914.56 5899.34

487.68 0 268.39 211.32 242662.92 8734.31 4981.67

469.9 0 251.61 197.93 231008.44 7882.18 4916.12

429.26 0 242.58 190.48 188552.84 7128.37 4391.73

434.34 0 223.87 175.60 168573.73 6587.60 3883.73

391.16 0 223.87 175.60 139021.30 6014.05 3555.99

363.22 0 198.71 156.26 126118.12 4948.89 3457.67

398.78 0 193.55 151.79 196045.00 5260.25 2834.96

368.3 0 168.39 132.00 101560.47 4227.86 2753.03

353.06 0 193.55 151.79 90738.45 4703.09 2556.38

327.66 0 168.39 132.00 81997.59 3801.80 2490.83

358.14 0 181.94 142.71 83246.29 4457.28 2326.96

330.2 0 156.77 123.07 74921.66 3572.38 2261.41

Área Ix

cm2 cm4 cm3 cm4

317.5 0 158.71 124.86 52028.93 3457.67 1638.71

292.1 0 133.55 105.21 46617.92 2720.25 1594.46

294.64 0 132.26 104.02 31134.11 2621.93 1056.97

271.78 0 107.10 84.38 27887.51 2015.61 1029.11

243.078 0 96.13 75.45 18605.54 1607.57 765.28

231.394 0 85.81 67.41 17481.72 1384.71 753.80

219.202 0 88.39 69.50 13236.16 1345.38 603.04

208.788 0 78.06 61.46 12445.32 1155.29 594.85

Dimensiones (in) Peso

K lb/ft1.4375 14.7 50 404 53.8 5.24 111.4375 11.8 40 348 46.5 5.45 9.171.4375 10 33.9 315 42 5.62 8.071.125 8.81 30 162 27 4.29 5.121.125 7.34 25 144 24 4.43 4.451.125 6.08 20.7 129 21.5 4.61 3.86

1 8.81 30 103 20.7 3.42 3.931 7.34 25 91.1 18.2 3.52 3.341 5.87 20 78.9 15.8 3.66 2.81 4.48 15.3 67.3 13.5 3.87 2.271 5.87 20 60.9 13.5 3.22 2.411 4.41 15 51 11.3 3.4 1.911 3.94 13.4 47.8 10.6 3.49 1.75

0.9375 5.51 18.75 43.9 11 2.82 1.970.9375 4.04 13.75 36.1 9.02 2.99 1.520.9375 3.37 11.5 32.5 8.14 3.11 1.310.875 4.33 14.7 27.2 7.78 2.51 1.370.875 3.6 12.25 24.2 6.92 2.6 1.160.875 2.87 9.8 21.2 6.07 2.72 0.957

0.8125 3.81 13 17.3 5.78 2.13 1.050.8125 3.08 10.5 15.1 5.04 2.22 0.860.8125 2.39 8.2 13.1 4.35 2.34 0.687

0.75 2.64 9 8.89 3.56 1.83 0.6240.75 1.97 6.7 7.48 2.99 1.95 0.470.75 2.13 7.25 4.58 2.29 1.47 0.4250.75 1.58 5.4 3.85 1.92 1.56 0.3120.75 1.38 4.5 3.65 1.83 1.63 0.289

0.6875 1.76 6 2.07 1.38 1.08 0.30.6875 1.47 5 1.85 1.23 1.12 0.2410.6875 1.2 4.1 1.65 1.1 1.17 0.1910.6875 1.09 3.5 157 1.04 1.2 0.169

827.5862069 550.4587156

Peso

Y1 Yt K lb/ft21.8 56.8 193 12000 831 55321.1 54.2 184 11500 764 54620.4 54.1 184 10000 750 49019.8 51.5 175 9580 689 484

Área Ix Sx rx Iy

in2 in4 in3 in in4

Área Ix Sxc Sxt

in2 in4 in3 in3

20.7 47.2 161 8280 656 40020 44.6 152 7900 596 395

18.9 46.8 159 6900 598 36518.3 44.1 150 6590 544 36019.2 41.6 142 5830 533 30418.5 39 133 5550 481 30016.9 37.6 128 4530 435 26817.1 34.7 118 4050 402 23715.4 34.7 118 3340 367 21714.3 30.8 105 3030 302 21115.7 30 102 4710 321 17314.5 26.1 88.7 2440 258 16813.9 30 102 2180 287 15612.9 26.1 88.7 1970 232 15214.1 28.2 95.9 2000 272 14213 24.3 82.7 1800 218 138

12.5 24.6 83.9 1250 211 10011.5 20.7 70.7 1120 166 97.311.6 20.5 69.9 748 160 64.510.7 16.6 56.7 670 123 62.89.57 14.9 50.7 447 98.1 46.79.11 13.3 45.3 420 84.5 468.63 13.7 46.7 318 82.1 36.88.22 12.1 41.3 299 70.5 36.3

Momento Modulo Radio de MomentoPeso de de giro de

Kg/m Inercia Sección X InerciaIx Sx rx Iy

KW, S, M, and HP Section Properties from AISC Version 3.0 CD Database (2001) and AISC 9th Edition Manual (1989)

k A Ix Sx rx Iy2 35.5 13 3160 258 9.43 832 31.1 106 2940 240 9.71 76.8

1.75 29.3 100 2380 199 9.01 47.41.75 26.5 90 2250 187 9.21 44.7

1.75 23.5 80 2100 175 9.47 42

1.75 28.2 96 1670 165 7.71 49.9

1.75 25.3 86 1570 155 7.89 46.6

1.625 22 75 1280 128 7.62 29.51.625 19.4 66 1190 119 7.83 27.5

1.5 20.5 70 923 103 6.7 241.5 16 54.7 801 89 7.07 20.7

1.375 14.7 50 485 64.7 5.75 15.61.375 12.6 42.9 446 59.4 5.95 14.3

1.4375 14.6 50 303 50.6 4.55 15.61.4375 11.9 40.8 270 45.1 4.76 13.51.1875 10.2 35 228 38.1 4.72 9.841.1875 9.31 31.8 217 36.2 4.83 9.331.125 10.3 35 147 29.4 3.78 8.31.125 7.45 25.4 123 24.6 4.07 6.73

Área

cm2

cm4 cm3 cm cm4

1 6.76 23 64.7 16.2 3.09 4.271 5.4 18.4 57.5 14.4 3.26 3.69

0.9375 5.88 20 42.4 12.1 2.69 3.170.9375 4.5 15.3 36.7 10.5 2.86 2.640.8125 5.06 17.25 26.2 8.74 2.28 2.290.8125 3.66 12.5 22 7.34 2.45 1.80.8125 4.34 14.75 15.2 6.09 1.87 1.67

0.75 2.93 10 12.3 4.9 2.05 1.19

0.75 2.79 9.5 6.76 3.38 1.56 0.887

0.75 2.26 7.7 6.05 3.03 1.64 0.7480.625 2.2 7.5 2.91 1.94 1.15 0.5780.625 1.66 5.7 2.5 1.67 1.23 0.447

k A 0 Ix Sx rx Iy

34.33 222 174 147,345.92 4,780.00 25.80 12,362.07 50.80 229.03 179.65 131,529.13 4,227.86 23.95 3,454.72 50.80 200.64 157.38 122,372.04 3,932.90 24.66 3,196.66 44.45 189.03 148.27 99,063.08 3,261.03 22.89 1,972.94 44.45 170.97 134.10 93,652.07 3,064.38 23.39 1,860.55 44.45 151.61 118.92 87,408.60 2,867.74 24.05 1,748.17 44.45 181.94 142.71 69,510.65 2,703.87 19.58 2,076.99 44.45 163.23 128.03 65,348.33 2,539.99 20.04 1,939.64 41.28 141.94 111.33 53,277.62 2,097.54 19.35 1,227.88 41.28 125.16 98.17 49,531.54 1,950.06 19.89 1,144.64 38.10 132.26 103.74 38,418.16 1,687.87 17.02 998.96 38.10 103.23 80.97 33,340.14 1,458.45 17.96 861.60 34.93 94.84 74.39 20,187.22 1,060.24 14.61 649.32 34.93 81.29 63.76 18,563.92 973.39 15.11 595.21 36.51 94.19 73.88 12,611.81 829.19 11.56 649.32 36.51 76.77 60.22 11,238.25 739.06 12.09 561.91 30.16 65.81 51.62 9,490.08 624.35 11.99 409.57 30.16 60.06 47.11 9,032.22 593.21 12.27 388.34 28.58 66.45 52.12 6,118.60 481.78 9.60 345.47 28.58 48.06 37.70 5,119.65 403.12 10.34 280.12 25.40 43.61 34.21 2,693.02 265.47 7.85 177.73 25.40 34.84 27.33 2,393.33 235.97 8.28 153.59 23.81 37.94 29.76 1,764.82 198.28 6.83 131.95 23.81 29.03 22.77 1,527.57 172.06 7.26 109.89 20.64 32.65 25.61 1,090.53 143.22 5.79 95.32 20.64 23.61 18.52 915.71 120.28 6.22 74.92 20.64 28.00 21.96 632.67 99.80 4.75 69.51 19.05 18.90 14.83 511.96 80.30 5.21 49.53 19.05 18.00 14.12 281.37 55.39 3.96 36.92 19.05 14.58 11.44 251.82 49.65 4.17 31.13 15.88 14.19 11.13 121.12 31.79 2.92 24.06 15.88 10.71 8.40 104.06 27.37 3.12 18.61

Perfiles

Modulo Radio de Modulo Modulo

JDesignación

de giro Plastico Plastico

Sección YSy ry Zx Zy 1 AE 25

2 AE 35

3.69 1.05 23.20 5.820.67

35.78 1.24 39.40 9.15 1.16 48.64 1.45 60.70 13.58 1.69 512.3 1.65 88.30 19.25 2.40 616.6 1.84 124.00 26.10 3.54 722.1 2.05 166.00 34.60 4.73 828.4 2.23 221.00 44.61 6.92 937.2 2.48 285.00 58.11 9.03 10 ASTM - A 5847.2 2.69 367.00 73.92 13.00 11 ASTM - A 9962.1 3.02 484.00 96.95 15.90 1280.4 3.35 628.00 125.22 19.90 1398.4 3.55 804.00 153.68 28.10123 3.79 1020.00 191.10 37.40146 3.95 1310.00 229.00 51.30176 4.12 1700.00 276.38 66.70214 4.3 2190.00 335.88 89.10254 4.45 2790.00 400.54 123.00308 4.66 3510.00 485.65 165.0026.7 2.51 83.00 41.14 5.24

38.4 3.02 119.00 58.855.99

55.6 3.52 173.00 84.85 8.13

76.9 3.98 245.00 117.63 12.20103 4.52 325.00 156.49 14.80133 4.98 429.00 203.82 21.00178 5.51 568.00 270.59 28.50231 6 745.00 351.69 41.60 1 A 325 (CR)282 6.5 920.00 430.17 52.40 2 A 325 (SR)340 7 1110.00 518.13 62.10 3 A 490 (CR)420 7.49 1380.00 641.17 85.20 4 A 490 (SR)465 7.49 1630.00 709.74 108.00

495 7.46 1850.00 755.95127.00 Dimension del perno

525 7.43 2090.00 802.28 149.00571 7.34 2560.00 872.86 189.00 Metrico /631 7.29 3220.00 965.53 244.00 1 1/2691 7.24 3950.00 1058.51 309.00 2 5/8721 7.15 4620.00 1106.90 352.00 3 M16751 7.05 5350.00 1155.66 398.00 4 3/4781 6.96 6140.00 1204.79 448.00 5 M20

6.84 7030.00 1256.74 514.00 6 M22

cm3 cm cm3 cm3 cm4

ASTM - A 36ASTM - A 572. Gr 42ASTM - A 572. Gr 50ASTM - A 572. Gr 55ASTM - A 913. Gr 50ASTM - A 913. Gr 60ASTM - A 913. Gr 65

ASTM - A 529. Gr 50ASTM - A 529. Gr 55

Tipo de pernos

812.0

6.65 8700.00 1312.26 597.00 7 7/86.5 10800.00 1414.48 737.00 8 M24

6.35 12800.00 1469.71 822.00 9 12.53 99.60 51.42 9.25 10 M27

52.9 3.05 159.49 80.97 13.80 11 1 1/878.5 3.58 238.59 119.79 20.10 12 M30111 4.05 341.67 169.96 31.20 13 1 1/4151 4.57 467.42 231.01 42.20 14 1 3/8200 5.06 620.03 305.81 50.70 15 M36258 5.59 802.02 393.88 76.60 16 1 1/2327 6.08 1015.93 498.42 103.00395 6.58 1229.94 602.25 124.00471 7.08 1476.76 717.57 144.00571 7.58 1790.47 870.14 185.00616 7.57 2065.72 939.10 225.00646 7.53 2318.95 985.72 257.00676 7.49 2588.20 1032.49 292.00721 7.39 3125.38 1104.04 356.00781 7.33 3861.61 1197.66 440.00841 7.27 4679.42 1291.65 538.00871 7.17 5440.44 1341.14 600.00902 7.08 6259.95 1391.06 667.00932 6.99 7139.68 1441.41 739.00962 6.86 8131.91 1495.04 831.00993 6.68 9950.36 1553.13 946.00

1050 6.52 12268.66 1658.34 1140.001080 6.38 14501.82 1716.27 1250.0015,0 2.47 61.20 22.70 0.7020,0 2.51 92.70 30.30 1.5220,0 2.19 125.00 31.30 2.5231,3 2.94 162.00 47.70 2.2946,9 3.09 252.00 71.20 6.4467,5 3.68 386.00 102.00 7.8090,1 3.58 633.00 138.00 18.70123 4.17 869.00 187.00 21.90160 4.76 1140.00 243.00 25.10160 4.38 1330.00 248.00 32.4058,8 3.56 187.00 89.30 7.5576,8 4.06 248.00 117.00 8.6797,2 4.56 316.00 147.00 9.78160 5.01 521.00 244.00 27.00194 5.5 636.00 294.00 29.80231 6 762.00 350.00 32.60271 6.48 900.00 410.00 35.402.99 0.9 23.25 5.54 0.784.86 1.07 40.09 8.99 1.507.38 1.23 64.10 13.71 2.5510.6 1.39 96.07 19.84 4.0714.8 1.55 137.11 27.57 6.5719.8 1.71 188.35 37.06 9.5826 1.87 250.92 48.52 13.50

33.1 2.02 325.92 62.12 18.6041.7 2.2 414.49 78.05 25.0051 2.32 518.06 95.66 33.50

842.0 903.0 933.0 33.4

61.2 2.45 636.28 114.63 44.2072.2 2.56 768.04 135.15 56.8084.7 2.67 920.19 158.82 72.5098.4 2.8 1087.29 184.15 90.40114 2.9 1284.37 214.30 115.00131 3.02 1491.70 245.06 141.00149 3.13 1725.19 279.82 170.00176 3.3 2056.52 329.95 177.00203 3.43 2411.11 380.11 267.00235 3.6 2815.64 439.64 270.00268 3.72 3257.76 501.78 402.00349 4.02 4260.48 648.48 544.00434 4.3 5500.67 817.53 667.002470 8.88 26600.00 3870.00 3096.762170 8.88 23200.00 3370.00 2143.591930 8.8 20800.00 2990.00 1569.191660 8.71 18100.00 2570.00 1036.424950 9.66 45300.00 7870.00 18522.304090 9.45 38000.00 6470.00 11612.863410 9.27 32100.00 5370.00 7367.303140 9.23 29500.00 4920.00 5910.492900 9.15 27500.00 4550.00 4828.282830 9.15 26800.00 4430.00 4536.922510 9.08 23900.00 3920.00 3304.882260 8.98 21800.00 3530.00 2547.342160 9.1 20500.00 3350.00 2143.591930 9.03 18400.00 2980.00 1585.841660 9 15800.00 2550.00 1032.251450 8.75 14200.00 2240.00 761.702130 6.7 28000.00 3480.00 7159.181740 6.53 23400.00 2820.00 4412.051730 6.56 23200.00 2790.00 4287.181430 6.41 19500.00 2300.00 2693.021350 6.4 18500.00 2170.00 2335.061220 6.44 16600.00 1940.00 1719.041080 6.37 14800.00 1710.00 1265.34933 6.35 12800.00 1470.00 832.46785 6.09 11400.00 1250.00 582.72636 5.81 9800.00 1020.00 389.59

7660 10.7 58700.00 12200.00 43704.306010 10.4 46900.00 9510.00 24599.284740 10.2 37400.00 7440.00 13610.773850 9.99 30700.00 6020.00 8033.273410 9.89 27400.00 5320.00 5868.863080 9.81 24800.00 4790.00 4495.302800 9.76 22600.00 4340.00 3500.512550 9.73 20600.00 3950.00 2672.212370 9.68 19200.00 3660.00 2189.382160 9.59 17600.00 3340.00 1727.362010 9.53 16500.00 3110.00 1440.161870 9.47 15500.00 2890.00 1190.421420 6.72 17000.00 2250.00 2201.861270 6.66 15300.00 2000.00 1648.281110 6.55 13600.00 1750.00 1165.45

1010 6.51 12600.00 1600.00 924.03943 6.47 11800.00 1490.00 770.03872 6.42 11000.00 1370.00 628.51805 6.36 10200.00 1270.00 516.13739 6.27 9530.00 1160.00 420.39618 6.05 8350.00 978.00 291.36

3280 9.58 25600.00 5110.00 6160.232970 9.5 23300.00 4620.00 4786.662640 9.43 20800.00 4100.00 3512.992400 9.36 18900.00 3710.00 2709.672150 9.28 17000.00 3320.00 2027.051930 9.21 15400.00 2980.00 1506.761740 9.12 14000.00 2690.00 1157.121560 9.04 12700.00 2410.00 865.76884 6.36 10300.00 1380.00 736.73773 6.27 9150.00 1210.00 516.13700 6.18 8420.00 1100.00 403.74620 6.06 7650.00 974.00 306.76534 5.9 6800.00 841.00 220.60

3250 9.31 23800.00 5080.00 7200.802940 9.23 21500.00 4580.00 5577.502650 9.15 19500.00 4130.00 4287.182360 9.08 17400.00 3650.00 3130.062070 8.97 15500.00 3210.00 2251.811860 8.93 13900.00 2870.00 1677.411640 8.86 12300.00 2530.00 1182.101470 8.78 11100.00 2260.00 874.091310 8.7 9950.00 2010.00 649.32710 5.8 8190.00 1110.00 603.54609 5.7 7170.00 958.00 404.58563 5.65 6690.00 885.00 332.57513 5.57 6200.00 807.00 267.64457 5.45 5670.00 720.00 207.70401 5.32 5120.00 633.00 156.92361 5.3 4630.00 568.00 118.21

4540 9.27 31000.00 7160.00 20645.082930 8.83 20400.00 4580.00 7075.932650 8.75 18500.00 4130.00 5452.632390 8.67 16800.00 3720.00 4203.942180 8.61 15300.00 3380.00 3309.041970 8.54 14000.00 3060.00 2563.991780 8.45 12600.00 2750.00 1956.291640 8.43 11700.00 2530.00 1565.031440 8.35 10300.00 2230.00 1127.991290 8.26 9340.00 1990.00 836.631160 8.21 8440.00 1790.00 628.511040 8.14 7600.00 1600.00 470.34604 5.61 6470.00 944.00 462.02517 5.53 5620.00 809.00 305.10456 5.47 5000.00 712.00 219.77407 5.38 4550.00 636.00 167.74348 5.25 4010.00 544.00 116.96

2790 8.3 18600.00 4380.00 8366.252490 8.2 16700.00 3890.00 6326.72

2250 8.13 15100.00 3510.00 4869.912030 8.05 13700.00 3160.00 3766.891800 7.97 12200.00 2790.00 2772.101630 7.91 11100.00 2520.00 2135.271450 7.83 9930.00 2250.00 1594.171340 7.79 9170.00 2070.00 1281.991220 7.73 8370.00 1880.00 994.791120 7.74 7670.00 1730.00 770.03992 7.65 6840.00 1530.00 557.75868 7.55 6060.00 1340.00 395.42762 7.47 5360.00 1170.00 279.71667 7.39 4730.00 1020.00 196.46435 5.05 4590.00 680.00 294.28394 5.04 4160.00 615.00 218.94343 4.96 3670.00 535.00 154.01301 4.88 3280.00 469.00 111.55257 4.76 2890.00 402.00 77.84161 3.49 2530.00 258.00 73.67136 3.39 2220.00 219.00 51.61

1410 7.68 8680.00 2180.00 1702.391270 7.62 7800.00 1950.00 1277.831150 7.58 7080.00 1770.00 982.31985 7.49 6120.00 1520.00 641.00876 7.44 5460.00 1350.00 470.34806 7.4 5030.00 1240.00 373.78729 7.36 4570.00 1120.00 284.29661 7.33 4150.00 1010.00 216.86362 4.68 3620.00 569.00 250.99319 4.65 3210.00 500.00 180.64279 4.6 2820.00 435.00 125.70257 4.56 2620.00 400.00 101.98229 4.51 2370.00 356.00 76.17193 4.39 2060.00 301.00 51.61156 4.21 1750.00 244.00 33.42153 3.44 2110.00 243.00 73.67125 3.31 1800.00 200.00 47.45104 3.21 1560.00 167.00 32.05

1130 7.01 6520.00 1740.00 1406.861010 6.95 5830.00 1550.00 1048.90909 6.91 5280.00 1400.00 799.16818 6.86 4760.00 1260.00 603.54736 6.82 4290.00 1130.00 441.21645 6.76 3770.00 991.00 311.34591 6.74 3460.00 906.00 243.91518 6.68 3040.00 793.00 170.65453 6.64 2670.00 692.00 117.79259 4.32 2380.00 405.00 145.26237 4.3 2180.00 369.00 113.63217 4.28 2010.00 338.00 90.32196 4.23 1830.00 304.00 69.09175 4.2 1650.00 272.00 51.61122 3.28 1490.00 192.00 50.78104 3.24 1280.00 163.00 33.7183.8 3.1 1090.00 132.00 21.06

586 6.36 3280.00 901.00 341.73514 6.3 2900.00 790.00 242.66441 6.24 2490.00 675.00 160.67381 6.2 2160.00 583.00 109.05199 4.07 1720.00 309.00 92.40172 4.03 1510.00 268.00 63.27153 4 1350.00 237.00 46.20135 3.98 1200.00 209.00 33.05115 3.86 1050.00 178.00 22.6873.6 2.96 885.00 115.00 19.1957.2 2.84 724.00 89.80 10.919730 12.2 30100.00 15200.00 76586.588640 11.9 27200.00 13400.00 60353.567740 11.7 24300.00 12000.00 46617.926930 11.6 21600.00 10700.00 36170.516200 11.4 19300.00 9560.00 27845.885550 11.2 17200.00 8550.00 21394.304990 11.1 15300.00 7670.00 16441.144640 11 14200.00 7120.00 13777.264290 10.9 13100.00 6580.00 11363.123950 10.9 12100.00 6060.00 9240.343620 10.8 11000.00 5540.00 7408.923260 10.7 9880.00 4980.00 5660.752940 10.6 8890.00 4490.00 4328.812650 10.5 7970.00 4040.00 3292.392380 10.4 7140.00 3620.00 2476.582130 10.3 6390.00 3240.00 1856.391940 10.3 5810.00 2960.00 1448.491750 10.2 5240.00 2670.00 1103.011580 10.2 4700.00 2390.00 819.981430 10.1 4260.00 2170.00 632.671220 9.55 3840.00 1850.00 511.961110 9.51 3470.00 1680.00 390.011000 9.48 3140.00 1520.00 296.36904 9.43 2840.00 1370.00 223.52818 9.4 2570.00 1240.00 168.99480 6.31 2270.00 734.00 211.03435 6.29 2060.00 664.00 161.08396 6.26 1880.00 605.00 125.29352 6.22 1670.00 537.00 91.15235 4.88 1430.00 360.00 80.75210 4.84 1280.00 322.00 60.35185 4.81 1140.00 284.00 43.70129 3.93 1010.00 199.00 33.22113 3.88 894.00 174.00 23.6895.4 3.78 775.00 147.00 15.8258.1 2.73 660.00 90.90 14.9045.9 2.64 543.00 71.90 8.662910 8.8 9880.00 4480.00 10114.422600 8.69 8810.00 4010.00 7700.282340 8.59 7890.00 3600.00 5952.112090 8.49 7020.00 3210.00 4495.301890 8.41 6330.00 2900.00 3488.021700 8.33 5700.00 2610.00 2693.02

1520 8.25 5100.00 2340.00 2031.211350 8.17 4500.00 2060.00 1481.781190 8.09 3980.00 1820.00 1073.881050 8.02 3500.00 1610.00 770.03917 7.94 3050.00 1400.00 536.94808 7.9 2680.00 1230.00 380.02727 7.86 2410.00 1110.00 285.12651 7.8 2160.00 990.00 212.28586 7.75 1950.00 891.00 159.83531 7.72 1770.00 806.00 121.96476 7.68 1590.00 722.00 90.74351 6.37 1420.00 533.00 87.41314 6.3 1280.00 478.00 65.76229 4.99 1180.00 350.00 71.18203 4.96 1050.00 311.00 52.45180 4.93 934.00 275.00 37.71122 3.91 838.00 188.00 30.84102 3.86 706.00 157.00 19.0287.5 3.82 609.00 134.00 12.4937.9 2.15 481.00 60.00 12.2030.8 2.09 405.00 48.80 7.4923.2 1.96 329.00 37.10 4.2919.5 1.91 286.00 31.10 2.93742 6.79 2410.00 1130.00 628.51655 6.73 2130.00 1000.00 453.69570 6.67 1850.00 869.00 313.42494 6.62 1600.00 752.00 212.69432 6.57 1400.00 657.00 148.18378 6.52 1220.00 574.00 103.23338 6.49 1090.00 513.00 75.75306 6.46 989.00 464.00 57.86218 5.1 900.00 332.00 62.85185 5.03 768.00 281.00 40.62151 4.93 636.00 230.00 24.2794.2 3.49 599.00 145.00 25.8980.1 3.46 512.00 123.00 16.7365.1 3.37 426.00 100.00 9.9535 2.22 354.00 55.00 9.70

29.1 2.15 306.00 45.90 6.4923.7 2.06 262.00 37.70 4.3318.1 1.99 207.00 28.60 2.28351 5.39 1150.00 536.00 210.20299 5.32 980.00 457.00 138.61246 5.28 802.00 374.00 81.58199 5.19 652.00 303.00 46.62174 5.17 568.00 264.00 32.01152 5.12 498.00 231.00 22.31109 4.12 445.00 166.00 22.3592.2 4.08 379.00 140.00 14.4060.8 3.2 334.00 93.20 11.7449.7 3.13 279.00 76.40 7.1627.8 2.23 222.00 43.70 5.7022.4 2.14 187.00 35.30 3.6317.4 2.14 145.00 27.20 1.77

92 3.87 311.00 140.00 19.5672.3 3.81 245.00 110.00 10.2451 3.68 178.00 77.90 4.3736 2.45 191.00 55.60 9.28

24.5 2.33 136.00 38.00 3.7618.3 2.3 102.00 28.10 1.6916.5 2.26 93.60 25.40 1.3759.5 3.25 190.00 90.70 13.1549.2 3.21 158.00 75.00 7.9931.1 2.55 103.00 47.90 6.29

337.57 3.89 5014.44 594.85 532.78319.55 3.99 4571.99 547.33 420.39214.67 3.23 3916.51 393.29 315.92204.84 3.30 3637.93 367.07 251.82196.64 3.40 3342.96 340.85 203.54227.78 3.38 3244.64 408.04 349.63216.31 3.45 2998.83 378.54 276.79151.58 2.95 2490.83 273.66 191.05143.88 3.02 2277.80 252.36 149.01126.02 2.74 2032.00 234.34 170.65113.23 2.90 1704.25 198.28 96.9890.62 2.62 1261.80 163.71 88.2485.05 2.69 1133.98 148.79 64.1093.24 2.62 997.97 168.79 115.3084.07 2.69 863.60 145.19 70.3463.58 2.49 730.86 111.43 43.7061.12 2.54 684.98 105.53 36.5555.06 2.28 580.10 101.44 53.6947.36 2.41 463.75 81.77 25.1033.59 2.02 314.63 60.14 22.8930.15 2.10 270.39 52.11 13.9426.87 1.86 237.61 48.51 18.7323.60 1.95 198.28 39.98 9.9920.98 1.71 172.06 38.51 15.4417.70 1.78 138.47 30.48 6.9516.55 1.57 121.59 30.81 13.3213.03 1.62 92.75 22.45 4.7510.41 1.43 66.20 18.52 4.999.21 1.46 57.35 15.90 3.057.55 1.30 38.51 13.45 3.736.28 1.32 31.79 10.75 1.8031.1 2.55 103.00 47.90 6.29

J x xp

mm mm61.78 2.20 1122.51 133.39 110.30 20.29 12.45

54.73 2.24 942.26 112.09 60.35 19.76 9.96

50.64 2.29 832.46 101.44 42.04 20.02 8.43

33.59 1.94 553.88 70.79 35.84 17.12 9.32

30.64 1.98 481.78 62.60 22.39 17.12 7.77

28.19 2.02 419.51 56.86 15.36 17.73 6.43

27.04 1.70 437.53 61.94 50.78 16.48 11.20

Sy ry Zx Zy

cm3 cm cm3 cm3 cm4

24.09 1.71 378.54 52.11 28.60 15.67 9.32

21.47 1.75 317.91 44.25 15.32 15.39 7.47

18.85 1.81 260.55 38.35 8.70 16.10 5.69

19.17 1.63 276.94 40.31 17.77 14.81 8.28

16.55 1.67 222.86 33.43 8.66 14.88 6.22

15.63 1.69 206.48 31.79 6.99 15.27 5.56

16.55 1.52 227.78 35.56 18.06 14.35 8.74

13.90 1.56 180.26 28.35 7.74 14.07 6.40

12.70 1.58 157.81 25.73 5.41 14.53 5.36

12.65 1.42 159.77 26.71 11.11 13.51 7.85

11.41 1.44 138.63 23.27 6.70 13.33 6.53

10.11 1.47 117.82 20.65 4.15 13.74 5.21

10.45 1.33 119.46 22.12 9.86 13.06 8.08

9.19 1.34 101.27 18.68 5.33 12.70 6.50

8.00 1.36 84.56 16.17 3.06 13.00 5.05

7.28 1.23 71.94 14.96 4.54 12.14 6.71

6.10 1.24 58.17 12.41 2.29 12.29 5.46

5.52 1.14 46.54 11.39 3.40 11.66 6.76

4.54 1.13 37.53 9.26 1.66 11.61 5.87

4.34 1.16 34.74 8.70 1.34 12.52 8.15

4.31 1.05 28.51 8.90 3.02 11.56 7.47

3.74 1.03 24.91 7.60 1.77 11.13 6.22

3.21 1.01 21.63 6.54 1.12 11.10 6.65

3.21 1.01 21.63 6.54 1.12 11.25 7.52

J

37.084 34297.47 1499.42 9.68 12093.65 2392.51 471.59

37.084 24307.92 1276.55 5.79 11733.14 1999.22 462.43

34.544 33298.51 1456.81 9.78 10684.37 2326.96 454.94

34.544 23350.58 783.30 8.38 10405.79 1933.67 445.78

33.528 30842.75 1348.66 10.06 8914.56 2064.77 271.80

33.782 20894.82 1096.29 8.51 8668.76 1671.48 262.64

30.734 29885.42 1307.69 9.96 8062.44 2032.00 318.83

30.988 19937.49 1045.49 8.36 7865.79 1638.71 309.68

29.972 28386.98 1242.14 10.29 6751.47 1868.13 208.12

30.226 18397.43 966.84 8.56 6685.92 1465.00 198.96

27.94 18272.56 958.64 8.66 5850.18 1468.28 209.78

27.432 17481.72 917.68 8.84 5178.31 1374.87 159.00

24.9428 17023.87 893.09 8.84 4686.70 1366.68 196.05

25.1968 9281.96 609.60 6.83 4506.44 953.73 169.36

24.1554 16024.91 840.66 9.09 3801.80 1233.95 119.87

24.5618 8283.01 544.05 7.01 3670.70 820.99 93.19

21.6408 15775.17 829.19 9.04 3392.12 1230.67 144.02

21.9456 8074.89 529.30 6.91 3277.41 819.35 117.34

21.3614 15483.81 812.80 9.22 3097.16 1188.06 118.21

21.8186 7741.90 509.64 7.04 2998.83 775.11 91.53

rx Iy Sy ry Zx Zy

cm cm4 cm3 cm cm3 cm3 cm4

18.0848 14734.59 775.11 9.63 2179.48 1102.85 93.65

18.669 7034.31 462.12 7.24 2081.16 691.53 66.97

15.3416 14110.25 740.70 10.31 1424.04 1009.44 64.72

16.1036 6368.34 419.51 7.72 1363.40 596.49 38.04

13.8938 6201.85 406.40 8.03 1016.00 566.99 31.18

14.2494 3612.89 285.13 6.48 988.14 408.04 24.52

12.2174 6076.98 399.84 8.31 789.86 552.24 27.85

12.5984 3517.16 276.94 6.71 770.19 394.93 21.19

J x xp

in3.77 0.865 68.5 8.14 2.65 0.799 0.493.34 0.883 57.5 6.84 1.45 0.778 0.3923.09 0.901 50.8 6.19 1.01 0.788 0.3322.05 0.762 33.8 4.32 0.861 0.674 0.3671.87 0.779 29.4 3.82 0.538 0.674 0.3061.72 0.797 25.6 3.47 0.369 0.698 0.2531.65 0.668 26.7 3.78 1.22 0.649 0.4411.47 0.675 23.1 3.18 0.687 0.617 0.3671.31 0.69 19.4 2.7 0.368 0.606 0.2941.15 0.711 15.9 2.34 0.209 0.634 0.2241.17 0.64 16.9 2.46 0.427 0.583 0.3261.01 0.659 13.6 2.04 0.208 0.586 0.245

0.954 0.666 12.6 1.94 0.168 0.601 0.2191.01 0.598 13.9 2.17 0.434 0.565 0.344

0.848 0.613 11 1.73 0.186 0.554 0.2520.775 0.623 9.63 1.57 0.13 0.572 0.2110.772 0.561 9.75 1.63 0.267 0.532 0.3090.696 0.568 8.46 1.42 0.161 0.525 0.2570.617 0.578 7.19 1.26 0.0996 0.541 0.2050.638 0.524 7.29 1.35 0.237 0.514 0.3180.561 0.529 6.18 1.14 0.128 0.5 0.2560.488 0.536 5.16 0.987 0.0736 0.512 0.1990.444 0.486 4.39 0.913 0.109 0.478 0.2640.372 0.489 3.55 0.757 0.0549 0.484 0.2150.337 0.447 2.84 0.695 0.0817 0.459 0.2660.277 0.444 2.29 0.565 0.0399 0.457 0.2310.265 0.457 2.12 0.531 0.0322 0.493 0.3210.263 0.413 1.74 0.543 0.0725 0.455 0.2940.228 0.405 1.52 0.464 0.0425 0.438 0.2450.196 0.398 1.32 0.399 0.0269 0.437 0.2620.182 0.394 1.24 0.364 0.0226 0.443 0.296

J

in14.6 824 91.5 3.81 738 146 11.3314.6 584 77.9 2.28 716 122 11.1113.6 800 88.9 3.85 652 142 10.9313.6 561 47.8 3.3 635 118 10.71

Sy ry Zx Zy

in3 in3 in3 in4 in in

rx Iy Sy ry Zx Zy

in in4 in3 in3 in3 in4

13.2 741 82.3 3.96 544 126 6.5313.3 502 66.9 3.35 529 102 6.3112.1 718 79.8 3.92 492 124 7.6612.2 479 63.8 3.29 480 100 7.4411.8 682 75.8 4.05 412 114 511.9 442 59 3.37 408 89.4 4.7811 439 58.5 3.41 357 89.6 5.04

10.8 420 56 3.48 316 83.9 3.829.82 409 54.5 3.48 286 83.4 4.719.92 223 37.2 2.69 275 58.2 4.0699.51 385 51.3 3.58 232 75.3 2.889.67 199 33.2 2.76 224 50.1 2.2398.52 379 50.6 3.56 207 75.18.64 194 32.3 2.72 200 50.08.41 372 49.6 3.63 189 72.5 2.848.59 186 31.1 2.77 183 47.3 2.1997.12 354 47.3 3.79 133 67.3 2.257.35 169 28.2 2.85 127 42.2 1.6096.04 339 45.2 4.06 86.9 61.6 1.5556.34 153 25.6 3.04 83.2 36.4 0.9145.47 149 24.8 3.16 62.0 34.6 0.7495.61 86.8 17.4 2.55 60.3 24.9 0.5894.81 146 24.4 3.27 48.2 33.7 0.6694.96 84.5 16.9 2.64 47.0 24.1 0.509

Modulo Radio de Modulo Modulo

Jde giro Plastico Plastico

Sección YSy ry Zx Zy

W, S, M, and HP Section Properties from AISC Version 3.0 CD Database (2001) and AISC 9th Edition Manual (1989)Sy ry Zx Zy J gage

20.6 1.53 306 36.3 12.8 419.5 1.57 279 33.4 10.1 413.1 1.27 239 24 7.59 412.5 1.3 222 22.4 6.05 4

12 1.34 204 20.8 4.89 4

13.9 1.33 198 24.9 8.4 4

13.2 1.36 183 23.1 6.65 4

9.25 1.16 152 16.7 4.59 3-1/28.78 1.19 139 15.4 3.58 3-1/27.69 1.08 124 14.3 4.1 3-1/26.91 1.14 104 12.1 2.33 3-1/25.53 1.03 77 9.99 2.12 3-1/25.19 1.06 69.2 9.08 1.54 3-1/25.69 1.03 60.9 10.3 2.77 35.13 1.06 52.7 8.86 1.69 33.88 0.98 44.6 6.8 1.05 33.73 1 41.8 6.44 0.878 33.36 0.899 35.4 6.19 1.29 2.752.89 0.95 28.3 4.99 0.603 2.75

cm3 cm cm3 cm3 cm4

2.05 0.795 19.2 3.67 0.55 2-1/41.84 0.827 16.5 3.18 0.335 2-1/41.64 0.734 14.5 2.96 0.45 2-1/41.44 0.766 12.1 2.44 0.24 2-1/41.28 0.673 10.5 2.35 0.371 21.08 0.702 8.45 1.86 0.167 ---1.01 0.62 7.42 1.88 0.32 ---

0.795 0.638 5.66 1.37 0.114 ---

0.635 0.564 4.04 1.13 0.12 ---

0.562 0.576 3.5 0.97 0.0732 ---0.461 0.513 2.35 0.821 0.0896 ---0.383 0.518 1.94 0.656 0.0433 ---

Sy ry Zx Zy J gage 762.00 7.47 5,360.00 1,170.00 279.71

337.57 3.89 5,014.44 594.85 532.78 319.55 3.99 4,571.99 547.33 420.39 214.67 3.23 3,916.51 393.29 315.92 204.84 3.30 3,637.93 367.07 251.82 196.64 3.40 3,342.96 340.85 203.54 227.78 3.38 3,244.64 408.04 349.63 216.31 3.45 2,998.83 378.54 276.79 151.58 2.95 2,490.83 273.66 191.05 143.88 3.02 2,277.80 252.36 149.01 126.02 2.74 2,032.00 234.34 170.65 113.23 2.90 1,704.25 198.28 96.98 90.62 2.62 1,261.80 163.71 88.24 85.05 2.69 1,133.98 148.79 64.10 93.24 2.62 997.97 168.79 115.30 84.07 2.69 863.60 145.19 70.34 63.58 2.49 730.86 111.43 43.70 61.12 2.54 684.98 105.53 36.55 55.06 2.28 580.10 101.44 53.69 47.36 2.41 463.75 81.77 25.10 33.59 2.02 314.63 60.14 22.89 30.15 2.10 270.39 52.11 13.94 26.87 1.86 237.61 48.51 18.73 23.60 1.95 198.28 39.98 9.99 20.98 1.71 172.06 38.51 15.44 17.70 1.78 138.47 30.48 6.95 16.55 1.57 121.59 30.81 13.32 13.03 1.62 92.75 22.45 4.75 10.41 1.43 66.20 18.52 4.99 9.21 1.46 57.35 15.90 3.05 7.55 1.30 38.51 13.45 3.73 6.28 1.32 31.79 10.75 1.80

Peso del concreto del encofrado colaborante sigaldeck:

Designación Altura t, cm

Ry Rt

Sigaldeck 10

9

Fu Kg/cm2. 10

2500 3700 1.5 1.2 113500 5500 1.3 1.1 12

2530 4080 1.5 1.213

2950 4220 1.3 1.1 143515 4570 1.1 1.1 153870 4920 1.1 1.1

Sigaldeck 12

93515 4220 1.1 1.1 104220 5273 1.1 1.1 114570 5625 1.1 1.1 123515 4920 1.1 1.1 133515 4570 1.1 1.1 143515 4570 1.2 1.2 153870 4920 1.1 1.2

CONECTORES DE CORTEdesignacion DIMENSIONES

1 N/S - 500/250 1/2" x 2 1/2"2 N/S - 625/250 5/8" x 2 1/2"3 N/S - 625/300 5/8" x 3"

4 N/S - 625/400 5/8" x 4"5 N/S - 750/300 3/4" x 3"

Tracción6 N/S - 750/400 3/4" x 4"

Ф = 0,75

6330 33706330 42207940 42207940 5720

Dimension del pernoAgujeros

nominal Estándar AgrandadosIngles mm diámetro díámetro

1/2 12.7 14.3 15.9 5/8 15.9 17.5 20.6M16 16 18 20 3/4 19.1 20.6 23.8M20 20 22 24M22 22 24 28

Pto. de Cedente Fy

Kg/cm2. (min)

Esfuerzo último.

Corte en conexión

Factor de resistencia

tipo aplastamiento

Ф = 0,75Factor de resistencia

Ft (Kg/cm2) Fv (Kg/cm2)

Diámetro nominal

7/8 22.2 23.8 27M24 24 27 30

1 25.4 27 31.8M27 27 30 351 1/8 28.6 30.6 36.6M30 30 33 381 1/4 31.8 33.8 39.81 3/8 34.9 36.9 42.9M36 36 39 441 1/2 38.1 41.1 46.1

25.40 1.00

645.16 2

16387.06 3.00

416231.43 4.00

2.54 1.00

6.45 2.00

16.39 3.00

41.62 4.00

2.54 1.00

6.45 2.00

16.39 3.00

41.62 4.00

Perfil Id K

mm mm mm mm mm

W36x150 911.00 304.00 23.90 15.90 42.98 376273.21W36x150 911.00 304.00 23.90 15.90 42.98 376273.21W33x141 846.00 293.00 24.40 15.40 42.21 310092.41W33x141 846.00 293.00 24.40 15.40 42.21 310092.41W33x118 835.00 292.00 18.80 14.00 36.62 245576.54W33x118 835.00 292.00 18.80 14.00 36.62 245576.54W30x116 762.00 267.00 21.60 14.40 38.15 205202.09W30x116 762.00 267.00 21.60 14.40 38.15 205202.09W30x99 753.00 265.00 17.00 13.20 33.57 166076.34W30x99 753.00 265.00 17.00 13.20 33.57 166076.34W27x94 684.00 254.00 18.90 12.40 34.08 136107.68W27x84 678.00 253.00 16.30 11.70 31.53 118625.96W24x84 612.00 229.00 19.60 11.90 32.30 98646.85W24x84 612.00 229.00 19.60 11.90 32.30 98646.85W24x68 603.00 228.00 14.90 10.50 27.72 76170.35W24x68 603.00 228.00 14.90 10.50 27.72 76170.35W21x68 537.00 210.00 17.40 10.90 30.26 61602.25W21x68 537.00 210.00 17.40 10.90 30.26 61602.25W21x62 533.00 209.00 15.60 10.20 28.48 55358.78W21x62 533.00 209.00 15.60 10.20 28.48 55358.78

bf tf tw Ix

cm4

W18x50 457.00 190.00 14.50 9.00 24.72 33298.51W18x50 457.00 190.00 14.50 9.00 24.72 33298.51W16x36 403.00 177.00 10.90 7.50 21.16 18647.17W16x36 403.00 177.00 10.90 7.50 21.16 18647.17W14x30 352.00 171.00 9.80 6.90 19.96 12112.33W14x30 352.00 171.00 9.80 6.90 19.96 12112.33W12x26 310.00 165.00 9.70 5.80 17.29 8491.12W12x26 310.00 165.00 9.70 5.80 17.29 8491.12

x xp

in in

W, S, M, and HP Section Properties from AISC Version 3.0 CD Database (2001) and AISC 9th Edition Manual (1989)d/Af Cw Wno Sw Qf Qw2.79 11400 47.1 103 46.2 1532.86 10500 46.1 98.8 46.2 1393.81 6340 41.9 66 32.7 1193.87 5980 41.2 63.8 32.7 110

3.94 5620 40.5 61.6 32.7 101

3.06 4690 34.9 57.8 28.5 98.3

3.13 4380 34.2 55.5 28.5 91.1

3.94 2720 30.7 38.9 21.9 75.64.02 2540 30 37.3 21.9 69.14.17 1800 27 29.2 16.6 61.94.34 1550 26 26.9 16.6 51.84.28 806 20.3 17.8 11.4 38.24.38 739 19.8 16.9 11.4 34.33.32 502 15.5 14 8.95 30.33.46 434 14.9 12.9 8.95 26.24.34 323 14.5 10 7.24 22.24.41 306 14.3 9.74 7.24 20.84.12 188 11.8 7.13 5.08 17.64.37 152 11.1 6.34 5.08 14

4.51 61.3 7.9 3.5 3 9.534.7 52.9 7.58 3.22 3 8.17

4.63 34.6 6.38 2.41 2.29 7.264.88 28.8 6.05 2.17 2.29 6.124.69 18.2 5.03 1.61 1.57 5.235.02 14.3 4.7 1.41 1.57 4.184.66 9.12 3.84 1.03 1.11 3.725.1 6.5 3.51 0.859 1.06 2.79

4.88 3.05 2.59 0.531 0.671 1.99

5.13 2.57 2.47 0.481 0.671 1.734.6 1.08 1.72 0.28 0.385 1.16

4.95 0.839 1.6 0.242 0.385 0.961

Peso del concreto del encofrado colaborante sigaldeck:

Peso Kg/m2Peso

0.0647 155 1 CALIBRE 22 5.91

0.0747 179 2 CALIBRE 20 7.520.0847 203 3 CALIBRE 19 9.930.0947 227

0.1047 251

0.1147 2750.1247 2990.0638 1530.0738 1770.0838 2010.0938 2250.1038 2490.1138 2730.1238 297

Diametro longitud in long Area 1/2 2 1/2 6.25 1.27 1 1/4 31.75 5/8 2 1/2 6.25 1.98 5/8 3 7.50 1.98 15.89 5/8 4 10.00 1.98 19.07 3/4 3 7.50 2.86

3/4 4 10.00 2.8615.875

Volumen, m3, m2

A Zy J

11238.25 285.00 9530.00 8260.00 1160.00 739.00 420.3911238.25 285.00 9530.00 8260.00 1160.00 739.00 420.3910239.29 268.00 8420.00 7330.00 1100.00 700.00 403.7410239.29 268.00 8420.00 7330.00 1100.00 700.00 403.747783.53 224.00 6800.00 5890.00 841.00 534.00 220.60

7783.53 224.00 6800.00 5890.00 841.00 534.00 220.60

6826.20 221.00 6200.00 5390.00 807.00 513.00 267.64

6826.20 221.00 6200.00 5390.00 807.00 513.00 267.64

5327.76 188.00 5120.00 4420.00 633.00 401.00 156.92

5327.76 188.00 5120.00 4420.00 633.00 401.00 156.92

5161.27 178.00 4550.00 3980.00 636.00 407.00 167.74

4412.05 160.00 4010.00 3490.00 544.00 348.00 116.96

3929.22 159.00 3670.00 3220.00 535.00 343.00 154.01

3929.22 159.00 3670.00 3220.00 535.00 343.00 154.01

2930.27 129.00 2890.00 2530.00 402.00 257.00 77.84

2930.27 129.00 2890.00 2530.00 402.00 257.00 77.84

2693.02 129.00 2620.00 2300.00 400.00 257.00 101.98

2693.02 129.00 2620.00 2300.00 400.00 257.00 101.98

2393.33 118.00 2370.00 2080.00 356.00 229.00 76.17

2393.33 118.00 2370.00 2080.00 356.00 229.00 76.17

Iy Zx Sx Sy


1669.09 94.60 1650.00 1460.00 272.00 175.00 51.61

1669.09 94.60 1650.00 1460.00 272.00 175.00 51.61

1019.77 68.20 1050.00 926.00 178.00 115.00 22.68

1019.77 68.20 1050.00 926.00 178.00 115.00 22.68

815.81 57.10 775.00 688.00 147.00 95.40 15.82

815.81 57.10 775.00 688.00 147.00 95.40 15.82

720.08 49.30 609.00 548.00 134.00 87.50 12.49

720.08 49.30 609.00 548.00 134.00 87.50 12.49

Perfil Crx PP d

cm cm Kgf/m mm mm

36.30 6.27 223.22 MC18x42.736.30 6.27 223.22 C15x33.9 381.00 86.3634.00 6.18 209.83 MC18x42.734.00 6.18 209.83 C15x33.9 381.00 86.3633.10 5.90 175.60 MC18x42.733.10 5.90 175.60 C15x33.9 381.00 86.3630.50 5.57 172.63 MC18x42.730.50 5.57 172.63 C15x33.9 381.00 86.3629.80 5.32 147.33 MC18x42.729.80 5.32 147.33 C15x33.9 381.00 86.3627.60 5.38 139.89 C15x33.9 381.00 86.3627.20 5.25 125.01 C15x33.9 381.00 86.3624.90 4.96 125.01 C15x33.9 381.00 86.3624.90 4.96 125.01 C12x20.7 304.80 74.68

24.20 4.76 101.19 C15x33.9 381.00 86.3624.20 4.76 101.19 C12x20.7 304.80 74.68

21.80 4.56 101.19 C15x33.9 381.00 86.3621.80 4.56 101.19 C12x20.7 304.80 74.68

21.70 4.51 92.27 C15x33.9 381.00 86.3621.70 4.51 92.27 C12x20.7 304.80 74.68

ry bf

18.80 4.20 74.41 C15x33.9 381.00 86.3618.80 4.20 74.41 C12x20.7 304.80 74.68

16.50 3.86 53.57 C15x33.9 381.00 86.3616.50 3.86 53.57 C12x20.7 304.80 74.68

14.60 3.78 44.64 C12x20.7 304.80 74.68

14.60 3.78 44.64 C10x15.3 254.00 66.04

13.10 3.82 38.69 C12x20.7 304.80 74.68

13.10 3.82 38.69 C10x15.3 254.00 66.04

Perfil CX Xp Xc k

mm mm mm mm mm mm

16.51 10.16 20.02 8.43 14.22 36.51 13111.29

16.51 10.16 20.02 8.43 14.22 36.51 13111.29

16.51 10.16 20.02 8.43 14.22 36.51 13111.29

16.51 10.16 20.02 8.43 14.22 36.51 13111.29

16.51 10.16 20.02 8.43 14.22 36.51 13111.2916.51 10.16 20.02 8.43 14.22 36.51 13111.2916.51 10.16 20.02 8.43 14.22 36.51 13111.2916.51 10.16 20.02 8.43 14.22 36.51 13111.2912.73 7.16 17.73 6.43 12.08 28.58 5369.3916.51 10.16 20.02 8.43 14.22 36.51 13111.2912.73 7.16 17.73 6.43 12.08 28.58 5369.3916.51 10.16 20.02 8.43 14.22 36.51 13111.2912.73 7.16 17.73 6.43 12.08 28.58 5369.3916.51 10.16 20.02 8.43 14.22 36.51 13111.2912.73 7.16 17.73 6.43 12.08 28.58 5369.39

tf tw Ix

cm4

16.51 10.16 20.02 8.43 14.22 36.51 13111.2912.73 7.16 17.73 6.43 12.08 28.58 5369.3916.51 10.16 20.02 8.43 14.22 36.51 13111.2912.73 7.16 17.73 6.43 12.08 28.58 5369.39

12.73 7.16 17.73 6.43 12.08 28.58 5369.39

11.07 6.10 16.10 5.69 10.90 25.40 2801.24

12.73 7.16 17.73 6.43 12.08 28.58 5369.39

11.07 6.10 16.10 5.69 10.90 25.40 2801.24

Perfil CA Zy J

335.90 64.52 832.46 688.26 101.44 50.64 42.04

335.90 64.52 832.46 688.26 101.44 50.64 42.04

335.90 64.52 832.46 688.26 101.44 50.64 42.04

335.90 64.52 832.46 688.26 101.44 50.64 42.04

335.90 64.52 832.46 688.26 101.44 50.64 42.04335.90 64.52 832.46 688.26 101.44 50.64 42.04335.90 64.52 832.46 688.26 101.44 50.64 42.04335.90 64.52 832.46 688.26 101.44 50.64 42.04160.67 39.23 419.51 352.32 56.86 28.19 15.36335.90 64.52 832.46 688.26 101.44 50.64 42.04160.67 39.23 419.51 352.32 56.86 28.19 15.36335.90 64.52 832.46 688.26 101.44 50.64 42.04160.67 39.23 419.51 352.32 56.86 28.19 15.36335.90 64.52 832.46 688.26 101.44 50.64 42.04160.67 39.23 419.51 352.32 56.86 28.19 15.36

Iy Zx Sx Sy


335.90 64.52 832.46 688.26 101.44 50.64 42.04160.67 39.23 419.51 352.32 56.86 28.19 15.36335.90 64.52 832.46 688.26 101.44 50.64 42.04160.67 39.23 419.51 352.32 56.86 28.19 15.36

160.67 39.23 419.51 352.32 56.86 28.19 15.36

94.48 28.90 260.55 221.23 38.35 18.85 8.70

160.67 39.23 419.51 352.32 56.86 28.19 15.36

94.48 28.90 260.55 221.23 38.35 18.85 8.70

Perfil Crx PP

cm cm Kgf/m

14.27 2.29 50.45

14.27 2.29 50.45

14.27 2.29 50.45

14.27 2.29 50.45

14.27 2.29 50.4514.27 2.29 50.4514.27 2.29 50.4514.27 2.29 50.45

11.71 2.02 30.8014.27 2.29 50.45

11.71 2.02 30.8014.27 2.29 50.45

11.71 2.02 30.8014.27 2.29 50.45

11.71 2.02 30.80

ry

14.27 2.29 50.45

11.71 2.02 30.8014.27 2.29 50.45

11.71 2.02 30.80

11.71 2.02 30.80

9.83 1.81 22.77

11.71 2.02 30.80

9.83 1.81 22.77

Id. Combinación DL TL LLU01 1.4D 1.4

U02_1 1.2(D±TL)+1.6L+0.5Lr 1.2 1.2 1.6

U02_2 1.2 1.2 1.6

U02_3 1.2 -1.2 1.6

U02_4 1.2 -1.2 1.6

U03_1 1.2D+1.6L+0.5S 1.2 1.2 1.6

U03_2 1.2 1.2 1.6

U03_3 1.2 -1.2 1.6

U03_4 1.2 -1.2 1.6

U04 1.2D+1.6Lr+L 1.2 1

U05 1.2D+1.6S+L 1.2 1

U06_1 1.2D+1.6Lr+0.8W 1.2

U06_2 1.2

U06_3 1.2

U06_4 1.2

U07_1 1.2D+1.6S+0.8W 1.2

U07_2 1.2

U07_3 1.2

U07_4 1.2

U08_1 1.2D+1.6W+0.5Lr+L 1.2 1

U08_2 1.2 1

U08_3 1.2 1

U08_4 1.2 1

U08_5 1.2 1

U08_6 1.2 1

U08_7 1.2 1

U08_8 1.2 1

U09_1 1.2D+1.6W+0.5S+L 1.2 1

U09_2 1.2 1

U09_3 1.2 1

U09_4 1.2 1

U09_5 1.2 1

U09_6 1.2 1

U09_7 1.2 1

U09_8 1.2 1

U10_1 0.9D ±1.6W 0.9

U10_2 0.9

U10_3 0.9

U10_4 0.9

U11_1 1.2D ±1.0E+1.0 L+0.2S 1.2 1

U11_2 1.2 1

U12_1 0.9D ±1.0E 0.9

U12_2 0.9

Lr WLx1 WLx2 WLy1 WLy2 QLx QLy SL Cvs Izq Cvs der Css izq Css der

0.5 1.6 1.6

0.5 1.6 1.6

0.5 1.6 1.6

0.5 1.6 1.6

0.5 1.6 1.6

0.5 1.6 1.6

0.5 1.6 1.6

0.5 1.6 1.6

1.6

1.6

1.6 0.8

1.6 0.8

1.6 0.8

1.6 0.8

0.8 1.6

0.8 1.6

0.8 1.6

0.8 1.6

0.5 1.6 1.6 1.6

0.5 1.6 1.6 1.6

0.5 1.6 1.6 1.6

0.5 1.6 1.6 1.6

0.5 1.6 1.6 1.6

0.5 1.6 1.6 1.6

0.5 1.6 1.6 1.6

0.5 1.6 1.6 1.6

1.6 0.5 1.6 1.6

1.6 0.5 1.6 1.6

1.6 0.5 1.6 1.6

1.6 0.5 1.6 1.6

1.6 0.5 1.6 1.6

1.6 0.5 1.6 1.6

1.6 0.5 1.6 1.6

1.6 0.5 1.6 1.6

1.6

1.6

1.6

1.6

1 0.2

1 0.2

1

1

Cls izq Cls der Cd U01 U02_1 U02_2 U02_3 U02_4DL 1.40 1.20 1.20 1.20 1.20

1.6 TL 1.20 1.20 -1.20 -1.20 1.6 LL 1.60 1.60 1.60 1.60

1.6 Lr 0.50 0.50 0.50 0.50 1.6 WLx1

1.6 WLx21.6 WLy1

1.6 WLy21.6 QLx

QLySLCvs Izq 1.60 1.60 Cvs der 1.60 1.60 Css izq 1.60 1.60 Css der 1.60 1.60 Cls izq 1.60 1.60

1.6

1.6

1.6

1.6

1.6

1.6

1.6

1.6

1.6

1.6

1.6

1.6

1.6

1.6

1.6

1.6

U03_1 U03_2 U03_3 U03_4 U04 U05 U06_1 U06_2 U06_3 1.20 1.20 1.20 1.20 1.20 1.20 1.20 1.20 1.20 1.20 1.20 -1.20 -1.20 1.60 1.60 1.60 1.60 1.00 1.00

1.60 1.60 1.60 1.60 0.80

0.80 0.80

0.50 0.50 0.50 0.50 1.60 1.60 1.60

1.60 1.60 1.60 1.60

1.60 1.60 1.60 1.60

U06_4 U07_1 U07_2 U07_3 U07_4 U08_1 U08_2 U08_3 U08_4 1.20 1.20 1.20 1.20 1.20 1.20 1.20 1.20 1.20

1.00 1.00 1.00 1.00 1.60 0.50 0.50 0.50 0.50

0.80 1.60 1.60 0.80 1.60 1.60

0.80 0.80 0.80

1.60 1.60 1.60 1.60 1.60 1.60

1.60 1.60 1.60 1.60

1.60 1.60 1.60 1.60

U08_5 U08_6 U08_7 U08_8 U09_1 U09_2 U09_3 U09_4 U09_5 1.20 1.20 1.20 1.20 1.20 1.20 1.20 1.20 1.20

1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.50 0.50 0.50 0.50

1.60 1.60 1.60 1.60

1.60 1.60 1.60 1.60 1.60

0.50 0.50 0.50 0.50 0.50 1.60 1.60 1.60 1.60 1.60

1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.60

1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.60

U09_6 U09_7 U09_8 U10_1 U10_2 U10_3 U10_4 U11_1 U11_2 1.20 1.20 1.20 0.90 0.90 0.90 0.90 1.20 1.20

1.00 1.00 1.00 1.00 1.00

1.60 1.60

1.60 1.60 1.60 1.60 1.60

1.00 1.00

0.50 0.50 0.50 0.20 0.20 1.60

1.60 1.60 1.60

1.60 1.60 1.60

U12_1 U12_2 #N/A 0.90 0.90

1.00 1.00

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