entramado analisis matricial

17
datos k 139.962094 0 6648.19945 E 10000 0 42105.2632 0 L 95 6648.19945 0 421052.632 G 4000 -139.96209 0 -6648.1994 J 1000 0 -42105.263 0 I 1000 6648.19945 0 210526.316 datos trasnformada x y 1 0 in 0 0 0 1 fi 95 0 0 0 L 95 0 0 0 0 c 1 0 0 s 0 1 0 0 1 trasnpuesta = 0 0

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Page 1: entramado analisis matricial

datos k 139.962094 0 6648.19945 -139.962094E 10000 0 42105.2632 0 0L 95 6648.19945 0 421052.632 -6648.19945G 4000 -139.962094 0 -6648.19945 139.962094J 1000 0 -42105.2632 0 0I 1000 6648.19945 0 210526.316 -6648.19945

datos trasnformadax y 1 0 0

in 0 0 0 1 0fi 95 0 0 0 1L 95 0 0 0

0 0 0c 1 0 0 0s 0

1 0 00 1 0

trasnpuesta = 0 0 10 0 00 0 00 0 0

Page 2: entramado analisis matricial

139.962094 0 6648.199450 42105.2632 0

t*k= 6648.19945 0 421052.632-139.962094 0 -6648.19945

0 -42105.2632 06648.19945 0 210526.316

4 5 64 139.962094 0 6648.199455 0 42105.2632 0

K GLOBAL DEL ELEMENTO 6 6648.19945 0 421052.6321 -139.962094 0 -6648.199452 0 -42105.2632 03 6648.19945 0 210526.316

datos k 106.679563 0 5547.33728 -106.679563E 10000 0 38461.5385 0 0L 104 5547.33728 0 384615.385 -5547.33728G 4000 -106.679563 0 -5547.33728 106.679563J 1000 0 -38461.5385 0 0I 1000 5547.33728 0 192307.692 -5547.33728

datos trasnformadax z 1 0 0

in 95 0 0 0.86538462 -0.49038462fi 185 51 0 0.49038462 0.86538462L 104 0 0 0

0 0 0c 0.8653846154 0 0 0s 0.4903846154

1 0 00 0.86538462 0.49038462

trasnpuesta = 0 -0.49038462 0.865384620 0 00 0 00 0 0

106.679563 0 5547.33728-2720.32886 33284.0237 -188609.467

t*k= 4800.58034 18860.9467 332840.237-106.679563 0 -5547.33728

Page 3: entramado analisis matricial

2720.32886 -33284.0237 94304.73374800.58034 -18860.9467 166420.118

1 2 31 106.679563 -2720.32886 4800.580342 -2720.32886 121294.663 -146897.758

K GLOBAL DEL ELEMENTO 3 4800.58034 -146897.758 297283.9387 -106.679563 2720.32886 -4800.580348 2720.32886 -75049.0726 65287.89269 4800.58034 -97931.8389 134768.292

analisis de las cargas

barra # 1 barra # 2

w= 0.24 p 20l= 95 lra= 11.4 ra 10rb= 11.4 rb 10ma= 180.5 ma 260mb= -180.5 mb -260

L4 11.4 L1 10L5 0 L2 -226.2

L L6 180.5 L L3 128.2L1 11.4 L7 10L2 0 L8 226.2L3 -180.5 L9 128.2

K GLOBAL GENERAL

F 1 2 3-31.4 1 246.641657 -2720.32886 -1847.61911226.2 2 -2720.32886 163399.926 -146897.758

Page 4: entramado analisis matricial

-47.7 3 -1847.61911 -146897.758 718336.57-11.4 R4 4 -139.962094 0 6648.19945

0 R5 5 0 -42105.2632 0-180.5 R6 6 -6648.19945 0 210526.316

-10 R7 7 -106.679563 2720.32886 -4800.58034-226.2 R8 8 2720.32886 -75049.0726 65287.8926-128.2 R9 9 4800.58034 -97931.8389 134768.292

HALLAR DESPLAZAMIENTOS

0.0058853248 0.0001367256 4.3097509E-05 -31.4 -0.155927630.0001367256 1.0674869E-05 2.5346489E-06 * 226.2 = -0.00199943

4.3097509E-05 2.5346489E-06 2.0212837E-06 -47.7 -0.00087634

HALLAR REACCIONES

-139.9620936 0 6648.1994460 -42105.263158 0 -0.15592763

-6648.199446 0 210526.31579 -0.00199943 =-106.67956304 2720.3288575 -4800.5803368 * -0.000876342720.3288575 -75049.072599 65287.8925814800.5803368 -97931.838871 134768.29199

N DE CADA BARRA

BARRA #1

139.9620936 0 6648.19945 -139.962094 0 6648.199450 42105.263158 0 0 -42105.2632 0

6648.199446 0 421052.632 -6648.19945 0 210526.316-139.9620936 0 -6648.19945 139.962094 0 -6648.19945

0 -42105.263158 0 0 42105.2632 06648.199446 0 210526.316 -6648.19945 0 421052.632

BARRA # 2

106.67956304 -2720.3288575 4800.58034 -106.679563 2720.32886 4800.58034-2720.3288575 121294.66318 -146897.758 2720.32886 -75049.0726 -97931.83894800.5803368 -146897.75831 297283.938 -4800.58034 65287.8926 134768.292

Page 5: entramado analisis matricial

-106.67956304 2720.3288575 -4800.58034 106.679563 -2720.32886 -4800.580342720.3288575 -75049.072599 65287.8926 -2720.32886 121294.663 179541.7054800.5803368 -97931.838871 134768.292 -4800.58034 179541.705 297283.938

FUERZAS DE CADA BARRA

BARRA #1

1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 0 *0 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

BARRA #2

1 0 0 0 0 00 0.8653846154 0.4903846154 0 0 00 -0.4903846154 0.8653846154 0 0 0 *0 0 0 1 0 00 0 0 0 0.86538462 0.490384620 0 0 0 0.49038462 0.86538462

Page 6: entramado analisis matricial

0 6648.19945 k local-42105.2632 0

0 210526.3160 -6648.19945

42105.2632 00 421052.632

0 0 0 transformad0 0 00 0 01 0 00 1 00 0 1

0 0 0 transpuesta0 0 00 0 01 0 00 1 00 0 1

Page 7: entramado analisis matricial

-139.962094 0 6648.199450 -42105.2632 0

-6648.19945 0 210526.316139.962094 0 -6648.19945

0 42105.2632 0-6648.19945 0 421052.632

1 2 3-139.962094 0 6648.19945

0 -42105.2632 0-6648.19945 0 210526.316139.962094 0 -6648.19945

0 42105.2632 0-6648.19945 0 421052.632

0 5547.33728 k local-38461.5385 0

0 192307.6920 -5547.33728

38461.5385 00 384615.385

0 0 0 transformad0 0 00 0 01 0 00 0.86538462 0.490384620 0.49038462 0.86538462

0 0 0 transpuesta0 0 00 0 01 0 00 0.86538462 0.490384620 0.49038462 0.86538462

-106.679563 0 5547.337282720.32886 -33284.0237 -94304.7337

-4800.58034 -18860.9467 166420.118106.679563 0 -5547.33728

Page 8: entramado analisis matricial

-2720.32886 33284.0237 188609.467-4800.58034 18860.9467 332840.237

7 8 9-106.679563 2720.32886 4800.580342720.32886 -75049.0726 -97931.8389

-4800.58034 65287.8926 134768.292106.679563 -2720.32886 -4800.58034

-2720.32886 121294.663 179541.705-4800.58034 179541.705 297283.938

SUMATORIA DE L

L1 21.4L2 -226.2L3 -52.3

LT L4 11.4L5 0L6 180.5L7 10L8 226.2L9 128.2

FUERZAS (F)

F1 -31.4F2 226.2F3 -47.7F4 -11.4 R4

F F5 0 R5F6 -180.5 R6F7 -10 R7F8 -226.2 R8F9 -128.2 R9

4 5 6 7 8 9 U-139.962094 0 -6648.19945 -106.679563 2720.32886 4800.58034 U1

0 -42105.2632 0 2720.32886 -75049.0726 -97931.8389 U2

Page 9: entramado analisis matricial

6648.19945 0 210526.316 -4800.58034 65287.8926 134768.292 U3139.962094 0 6648.19945 0 0 0 0

0 42105.2632 0 0 0 0 06648.19945 0 421052.632 0 0 0 0

0 0 0 106.679563 -2720.32886 -4800.58034 00 0 0 -2720.32886 121294.663 179541.705 00 0 0 -4800.58034 179541.705 297283.938 0

R4 27.397878115.9978781 R5 84.18653

84.18653 R6 1032.64547852.145467 DESPEJAMOS LAS REACCIONES R7 25.402121915.4021219 R8 -105.133411

-331.333411 R9 -542.638016-670.838016

0 15.9978781 11.40 84.18653 00 852.145467 180.5

* -0.15592763 = -15.9978781 + 11.4-0.00199943 -84.18653 0-0.00087634 667.652954 -180.5

-0.15592763 -15.4021219 10-0.00199943 310.38653 -226.2

* -0.00087634 = -715.352954 + 128.2

Page 10: entramado analisis matricial

0 15.4021219 100 -331.333411 226.20 -670.838016 128.2

11.4 11.4 40 0 5

180.5 180.5 611.4 = 11.4 1

0 0 2-180.5 -180.5 3

10 10 1-226.2 -132.882692 2128.2 = 221.867308 3

10 10 7226.2 258.617308 8128.2 221.867308 9

Page 11: entramado analisis matricial

1 2 3 4 5 6 71 246.641657 -2720.32886 -1847.61911 -139.962094 0 -6648.19945 -106.6795632 -2720.32886 163399.926 -146897.758 0 -42105.2632 0 2720.328863 -1847.61911 -146897.758 718336.57 6648.19945 0 210526.316 -4800.580344 -139.962094 0 6648.19945 139.962094 0 6648.19945 05 0 -42105.2632 0 0 42105.2632 0 06 -6648.19945 0 210526.316 6648.19945 0 421052.632 07 -106.679563 2720.32886 -4800.58034 0 0 0 106.6795638 2720.32886 -75049.0726 65287.8926 0 0 0 -2720.328869 4800.58034 -97931.8389 134768.292 0 0 0 -4800.58034

Page 12: entramado analisis matricial

FUERZAS EN LOS NUDOS (N)

N1 -10N2 0N3 -100N4 0 R4N5 0 R5N6 0 R6N7 0 R7N8 0 R8N9 0 R9

Page 13: entramado analisis matricial

FUERZAS DE LAS BARRAS

27.3978781 484.18653 5

= 1032.64547 6-4.59787811 1

-84.18653 2487.152954 3

-5.40212189 184.18653 2

= -587.152954 3

Page 14: entramado analisis matricial

25.4021219 7-105.133411 8-542.638016 9

Page 15: entramado analisis matricial

8 92720.32886 4800.58034

-75049.0726 -97931.838965287.8926 134768.292

0 00 00 0

-2720.32886 -4800.58034121294.663 179541.705179541.705 297283.938

Page 16: entramado analisis matricial

CORTANTES

X0= 27.3978781

X95= 4.59787811

X0= -5.40212189

X104= -25.4021219

Page 17: entramado analisis matricial

MOMENTOS

X0= 1032.64547

X95= -487.152954

X0= -587.152954

X104= 542.638016