calculo de inercias vigas compuestas

7/23/2019 Calculo de Inercias Vigas Compuestas

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Determinación de centroide

base altura Área A x d Centroide Y

Patin superior 20.3 2.5 51.6 54.61 2815.8

27.94Patin inferior 20.3 2.5 51.6 1.27 65.5

Ala 1.3 50.8 64.5 27.!4 1802.6167.6 4683.!

bf " 20.3tf " 2.54 #i$a prin%ipal

Y1" 26.67

d" 50.8 b&" 1.27

'" 55.88Y" 27.!4 Y2" 26.67

tf " 2.54bf " 20.3

Inercia

(otal InerciaPatin superior 0.08 20.30 16.3! 27.72 51.562 711.2! 36675.48 36703.20

87,281Patin inferior 0.08 20.3 16.3! 27.72 51.562 711.2! 36675.48 36703.20 Ala 0.08 1.27 1310!6.51 13874.381 64.516 0.00 0.00 13874.38

Determinación Módulo de sección

Scompresión= 3,123.9 %3 Stensión= 3,123.9 %3

distan%ia ala base

."1)12*base+*altura+3 Area x d 2





Patin superior 4.0 0.3 1.0 5.88 5.!3.00Patin inferior 4.0 0.3 1.0 0.13 0.1

Ala 0.3 5.5 1.4 3.00 4.13.4 10.1

bf " 4tf " 0.25 #i$a rapa

enor

Y1" 2.875

d" 5.5 b&" 0.25

'" 6Y" 3.00 Y2" 2.875

tf " 0.25bf " 4

Inercia(otal Inercia

Patin superior 0.08 4.00 0.02 0.01 1 8.27 8.27 8.27

20Patin inferior 0.08 4 0.02 0.01 1 8.27 8.27 8.27 Ala 0.08 0.25 166.375 3.4661458 1.375 0.00 0.00 3.47


distan%ia ala base




Scompresión= .7 %3 Stensión= .7 %3





Patin superior 20.3 2.5 51.6 54.61 2815.8

27.94Patin inferior 20.3 2.5 51.6 1.27 65.5

Ala 1.3 50.8 64.5 27.!4 1802.6167.6 4683.!

bf " 20.3tf " 2.54

Y1" 26.67

d" 50.8 b&" 1.27

'" 55.88

Y" 27.!4 Y2" 26.67

tf " 2.54bf " 20.3

Inercia(otal Inercia

Patin superior 0.08 20.30 16.3! 27.72 51.562 711.2! 36675.48 36703.20

87,281Patin inferior 0.08 20.3 16.3! 27.72 51.562 711.2! 36675.48 36703.20 Ala 0.08 1.27 1310!6.51 13874.381 64.516 0.00 0.00 13874.38


distan%ia ala base




!s"uer#os principales $alma%

p" 27.!4d" 26.67

momento est&tico sistema de re"erenciat bf ,1 b& ,1-tf *Y1-tf+)2

2.54 20.3 26.67 1.27 25.4 12.7/" 1784.835 -644.073!85

!s"uer#o cortante" 10000 A" 167.6 " 7006 %" 0.00

5!.65163455!.65163

base A" 1.27 base p" 20.3 -644.073!85

" -644.073!8538

es"uer#os principales2/*12+ " -21.5!4512582 /1" -43.674tan$ in# " -1.5245213251 /2" 46.3257 674.5!0021$rados " -87.348637706

" !2.6513622!4 1.61707133

!s"uer#o '

674.5!002065-614.!383862

-614.!38386

Ϭx"

ϬQ1"

ϬQ2"

τxy



!s"uer#os principales $pat(n%

p" 2.54d" 26.67

momento est&tico sistema de re"erenciat bf ,1 b& ,1-tf *Y1-tf+)2

2.54 20.3 26.67 1.27 0 0/" 1375.15! -31.0454603

esfuero %ortante" 10000 A" 167.6 " 7006 %" 25.40

20!6.7553320!6.755

base A" 1.27 base p" 20.3 -31.0454603

" -31.045460311

es"uer#os principales2/*12+ " -0.02!61285!3 /1" -0.8481tan$ in# " -0.02!6042078 /2" 8!.151! 20!7.214!$rados " -1.6!61!61646

" 178.30380384 3.111!8845

esfuero /

20!7.214!011-0.45!5716!45

-0.45!5716!

Ϭx"

ϬQ1"

ϬQ2"

τxy



5!.6516345

-614.!38386

674.5!0021



20!6.75533

-0.45!5716!

20!7.214!





Patin superior 23.0 2.5 58.4 68.73 4015.2

3).00Patin inferior 23.0 2.5 58.4 1.27 74.2

Ala 1.3 64.! 82.4 35.00 2885.71!!.3 6!75.1

bf " 23tf " 2.54

Y1" 33.73

d" 64.!2 b&" 1.27

'" 70Y" 35.00 Y2" 33.73

tf " 2.54bf " 23

Inercia

(otal InerciaPatin superior 0.08 23.00 16.3! 31.41 58.42 1137.71 66465.1! 664!6.60

11,9)0Patin inferior 0.08 23 16.3! 31.41 58.42 1137.71 66465.1! 664!6.60 Ala 0.08 1.27 273612.25 28!57.2!6 82.4484 0.00 0.00 28!57.30



distan%ia ala base






Patin superior 23.0 2.5 58.4 78.73 45!!.4

40.00Patin inferior 23.0 2.5 58.4 1.27 74.2

Ala 1.3 74.! !5.1 40.00 3805.!212.0 847!.5

bf " 23tf " 2.54

Y1" 38.73

d" 74.!2 b&" 1.27

'" 80Y" 40.00 Y2" 38.73

tf " 2.54bf " 23

Inercia

(otal InerciaPatin superior 0.08 23.00 16.3! 31.41 58.42 1500.01 87630.75 87662.16

219,830Patin inferior 0.08 23 16.3! 31.41 58.42 1500.01 87630.75 87662.16 Ala 0.08 1.27 420526.44 44505.715 !5.1484 0.00 0.00 44505.71


Scompresión= ),49).8 %3 Stensión= ),49).8 %3

distan%ia ala base






Patin superior 30.0 2.5 76.2 58.73 4475.2

23.)2Patin inferior 30.0 5.1 152.4 2.54 387.1

Ala 1.3 52.4 66.5 31.27 2080.22!5.1 6!42.5

bf " 30tf " 2.54

Y1" 35.205!33

d" 52.38 b&" 1.27

'" 60Y" 23.52 Y2" 20.!84067

tf " 5.08bf " 30

Inercia

(otal InerciaPatin superior 0.08 30.00 16.3! 40.!7 76.2 123!.46 !4446.68 !4487.65

177,131Patin inferior 0.08 30 131.10 327.74 152.4 440.33 67106.45 67434.1! Ala 0.08 1.27 143713.14 1520!.641 66.5226 0.00 0.00 1520!.64


Scompresión= 4,8).1 %3 Stensión= 7,)29.8 %3

distan%ia ala base






Patin superior 30.0 2.5 76.2 76.73 5846.8

30.92Patin inferior 30.0 5.1 152.4 2.54 387.1

Ala 1.3 70.4 8!.4 40.27 35!!.4318.0 !833.4

bf " 30tf " 2.54

Y1" 45.8057!4

d" 70.38 b&" 1.27

'" 78Y" 30.!2 Y2" 28.384206

tf " 5.08bf " 30

Inercia

(otal InerciaPatin superior 0.08 30.00 16.3! 40.!7 76.2 20!8.17 15!880.61 15!!21.58

319,928Patin inferior 0.08 30 131.10 327.74 152.4 805.66 122783.06 123110.80 Ala 0.08 1.27 348616.38 368!5.233 8!.3826 0.00 0.00 368!5.23


Scompresión= ,79.0 %3 Stensión= 10,34).) %3

distan%ia ala base






Patin superior 36.0 3.0 108.0 76.50 8262.0

39.00Patin inferior 36.0 3.0 108.0 1.50 162.0

Ala 1.8 72.0 130.3 3!.00 5082.5346.3 13506.5

bf " 36tf " 3

Y1" 37.5

d" 72 b&" 1.81

'" 78Y" 3!.00 Y2" 37.5

tf " 3bf " 36

Inercia

(otal InerciaPatin superior 0.08 36.00 27.00 81.00 108 1406.25 151875.00 151!56.00

30,210Patin inferior 0.08 36 27.00 81.00 108 1406.25 151875.00 151!56.00 Ala 0.08 1.81 373248 562!8.24 130.32 0.00 0.00 562!8.24



distan%ia ala base






Patin superior 30.0 2.5 76.2 !4.73 7218.4

38.)4Patin inferior 30.0 5.1 152.4 2.54 387.1

Ala 1.3 88.4 112.2 4!.27 5530.2340.8 13135.7

bf " 30tf " 2.54

Y1" 56.1!1053

d" 88.38 b&" 1.27

'" !6Y" 38.54 Y2" 35.!!8!47

tf " 5.08bf " 30

Inercia

(otal InerciaPatin superior 0.08 30.00 16.3! 40.!7 76.2 3157.43 2405!6.50 240637.47

)11,)2)Patin inferior 0.08 30 131.10 327.74 152.4 12!5.!2 1!74!8.85 1!7826.5! Ala 0.08 1.27 6!0338.34 73060.807 112.2426 0.00 0.00 73060.81



distan%ia ala base






Patin superior 60.0 20.0 1200.0 !0.00 108000.0

)0.00Patin inferior 60.0 20.0 1200.0 10.00 12000.0

Ala 30.0 60.0 1800.0 50.00 !0000.04200.0 210000.0

bf " 60tf " 20

Y1" 40

d" 60 b&" 30

'" 100Y" 50.00 Y2" 40

tf " 20bf " 60

Inercia

(otalPatin superior 0.08 60.00 8000.00 40000.00 1200 1600.00 1!20000.00 1!60000.00Patin inferior 0.08 60 8000.00 40000.00 1200 1600.00 1!20000.00 1!60000.00

Ala 0.08 30 216000 540000 1800 0.00 0.00 540000.00


Scompresión= 89,200.0 %3 Stensión= 89,200.0

distan%ia ala base




5.6152.8075

Inercia

4,40,000%4

%3

calculo de inercias vigas compuestas

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