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  • Publicado : 2 de diciembre de 2010
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[pic]
Calculo de Reacciones

Wl = Ra Rb = 1340 kg/ml (18 mts) =12060 kg

Ra = Rb (n-1)(p/2)2 = (n-1) 100 kg = 4500 kg
2
Calculo de Momentos

Ma-1 = Mb = 1340 kg/ml (18m)2 = 36 180 kg.ml
12

Mc-1 = 1340 kg.ml (18)2 = 18090 kg.ml
24

Ma = Mb = PL (n2 -1) = 900 kg (18) ( (n) 2 -1 )= 14, 727.27
12n 12 (11)

Mmax = 50,907.27

Calculo del Modulo de Sección

Sxx = Max (100 cm) = 50,907.27 (100cm)
Fb 1520 kg/m2

Calculo de las areas

A-1 = 6.35 x 17.78 = 112.903 cm2

A-2 = 1.905 cm x 17.78 cm = 33.87 cm2

A-3 = 1.905 cm x 17.78 cm = 33.87 cm2

A-4 = A-5 = A-1 /2 = 112.903 cm2 / 2 =56.4515

Calculo de Inercia

Ixx-1 = 1/12 bh3 + A1 d12

= 0.083 (17.78cm) (6.35)3 + 112.903 m2 (12.065m)2
= 16,814. 00012 m4

Ixx-2 = 1/12 bh3 + A2d2 2

= 0.083 (1.905cm) (17.78 cm) 3 + 87.09 m2 (0)
= 892.26042 cm4

Ixx-3 = Ixx-2 = 892.26042 cm4

Ixx-4 = 1/12 bh3 + Ay (d4)2 = 0.083 (8.89 cm) (6.35 cm) 3 + 56.451522 (12.065)2
= 8.40700006 cm4Calculo del Modulo de Sección – Perfil

Ixx total/ C = 2323cm3

S- 1/C = 232365 cm3

S = M (100) / Fb = 3,349 m3 x 1.10 = 3,683,9 cm3

Diseño del perfil

Viga IPC 30”x12”

Lf= 1.27cm A= 135.61cm2
72.20cmSxx= 3543 cm3
Ixx= 134988 cm4
tw= 0.79 cm W= 107.1 kg/ml

30.48cm

Cálculo de la deflexión máxima

Wl4 1340(1800)4
Dmax1= 384EI =384(2.1e6)(134988) =

[pic] [pic][pic]

Dmax(total)= dmax1+ dmax2= 129.2257+0.52167= 129.74737

129.74737> 5cm

[pic]

Diseño de perfil

Lf= 1.27cm A= 135.61cm2
72.20cmSxx= 3543 cm3
tw= 0.79 cm W= 107.1 kg/ml
Ixx= 134988 cm

30.48cm

Ixx1= wl4 = 1340(1800)4 = 3488785.714cm4
384Edmax1 384(2.1e6)(5)

Ixx2= Pl4[pic] [pic] =14318.66481cm4
192(2.1e6)(5)

Ixx Total= 3503104.379 cm4

Dimensiones del perfil

Lf= 3.49cm A= 587.65cm2
190.5cm Sxx= 39416 cm3tw= 1.27 cm Ixx= 3754691 cm
W= 464.2 kg/ml

30.48cm

Deflexion

dMAX1 = [pic] = [pic] = 4.64590 cm

d MAX2 = [pic] = [pic]

[pic] [pic]= 0.0093775 cm

Dmax (total) = dMAX1 + d MAX2 = 4. 64590 + 0.00993775 = 4.665528cm

4.665528< 5cm
El perfilresiste a deflexión

Corte

Qcorte = [pic] =[pic] = 68.44813kg/cm2

FV= 1012.49 kg/cm2
68.44813kg/cm2 > 1012.49 kg/cm2

El perfil resiste a corte

Flexion

T flexion = [pic] = [pic] = 129.1422317 kg/cm2
C = [pic] = 190.5/ 2 = 95.25

Conclusion

El perfil es IPC de 75’’ x 20’’ con u peso de 464. 2 kg/ml

Analizar y diseñar la siguiente viga como lo muestra la figura,...
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