Trabalho Teoria II - LIDICI

PONTOS X (m) Y (m) Z (m) ELEMENTORETÂNGULO

1 0 0 BASE (m) ALTURA (m)2 0 6 1 0.25 0.63 2 6 2 0.25 0.64 8 6 3 0.25 0.65 10 6 4 0.25 0.66 8 0 5 0.25 0.6

NO1 NO2 L (m) cos α sen α EA/L

1 2 6 0 1 2.4E+10 0.15 0.0045 6E+08 60000002 3 2 1 0 2.4E+10 0.15 0.0045 1.8E+09 1.62E+083 4 6 1 0 2.4E+10 0.15 0.0045 6E+08 60000004 5 2 1 0 2.4E+10 0.15 0.0045 1.8E+09 1.62E+084 6 6 0 -1 2.4E+10 0.15 0.0045 6E+08 6000000

E (N/m2) A (m2) I (m4) 12EI/L3

4EI/L EI 2EI/L

18000000 72000000 1.08E+08 360000001.62E+08 2.16E+08 1.08E+08 1.08E+0818000000 72000000 1.08E+08 360000001.62E+08 2.16E+08 1.08E+08 1.08E+0818000000 72000000 1.08E+08 36000000

6EI/L2

ELEMENTO 1

600000000 0 0 -600000000 0 00 6000000 18000000 0 -6000000 180000000 18000000 72000000 0 -18000000 36000000

-600000000 0 0 600000000 0 00 -6000000 -18000000 0 6000000 -180000000 18000000 36000000 0 -18000000 72000000

ELEMENTO 2

1800000000 0 0 -1800000000 0 00 162000000 162000000 0 -162000000 1620000000 162000000 216000000 0 -162000000 108000000

-1800000000 0 0 1800000000 0 00 -162000000 -162000000 0 162000000 -1620000000 162000000 108000000 0 -162000000 216000000

ELEMENTO 3

600000000 0 0 -600000000 0 00 6000000 18000000 0 -6000000 180000000 18000000 72000000 0 -18000000 36000000

-600000000 0 0 600000000 0 00 -6000000 -18000000 0 6000000 -180000000 18000000 36000000 0 -18000000 72000000

ELEMENTO 4

1800000000 0 0 -1800000000 0 00 162000000 162000000 0 -162000000 1620000000 162000000 216000000 0 -162000000 108000000

-1800000000 0 0 1800000000 0 00 -162000000 -162000000 0 162000000 -1620000000 162000000 108000000 0 -162000000 216000000

ELEMENTO 5

600000000 0 0 -600000000 0 00 6000000 18000000 0 -6000000 180000000 18000000 72000000 0 -18000000 36000000

-600000000 0 0 600000000 0 00 -6000000 -18000000 0 6000000 -180000000 18000000 36000000 0 -18000000 72000000

KL =

KL =

KL =

KL =

KL =

ELEMENTO 1

R =

0 1 0 0 0 0-1 0 0 0 0 00 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

ELEMENTO 2

R =

1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

ELEMENTO 3

R =

1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

ELEMENTO 4

R =

1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

ELEMENTO 5

R =

0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

RT =

RT =

RT =

RT =

RT =

0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

0 1 0 0 0 0-1 0 0 0 0 00 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

ELEMENTO 1

0 600000000 0 0 -600000000 0-6000000 0 18000000 6000000 0 18000000

-18000000 0 72000000 18000000 0 360000000 -600000000 0 0 600000000 0

6000000 0 -18000000 -6000000 0 -18000000-18000000 0 36000000 18000000 0 72000000

ELEMENTO 2

1800000000 0 0 -1800000000 0 00 162000000 162000000 0 -162000000 1620000000 162000000 216000000 0 -162000000 108000000

-1800000000 0 0 1800000000 0 00 -162000000 -162000000 0 162000000 -1620000000 162000000 108000000 0 -162000000 216000000

ELEMENTO 3

600000000 0 0 -600000000 0 00 6000000 18000000 0 -6000000 180000000 18000000 72000000 0 -18000000 36000000

-600000000 0 0 600000000 0 00 -6000000 -18000000 0 6000000 -180000000 18000000 36000000 0 -18000000 72000000

ELEMENTO 4

1800000000 0 0 -1800000000 0 00 162000000 162000000 0 -162000000 1620000000 162000000 216000000 0 -162000000 108000000

-1800000000 0 0 1800000000 0 00 -162000000 -162000000 0 162000000 -1620000000 162000000 108000000 0 -162000000 216000000

ELEMENTO 5

0 -600000000 0 0 600000000 06000000 0 18000000 -6000000 0 1800000018000000 0 72000000 -18000000 0 36000000

0 600000000 0 0 -600000000 0-6000000 0 -18000000 6000000 0 -1800000018000000 0 36000000 -18000000 0 72000000

KLR = KG =

KLR = KG =

KLR = KG =

KLR = KG =

KLR = KG =

1 2 3 4 5 61 6000000 0 -18000000 -6000000 0 -180000002 0 600000000 0 0 -600000000 03 -18000000 0 72000000 18000000 0 360000004 -6000000 0 18000000 6000000 0 180000005 0 -600000000 0 0 600000000 06 -18000000 0 36000000 18000000 0 72000000

4 5 6 7 8 94 1800000000 0 0 -1800000000 0 05 0 162000000 162000000 0 -162000000 1620000006 0 162000000 216000000 0 -162000000 1080000007 -1800000000 0 0 1800000000 0 08 0 -162000000 -162000000 0 162000000 -1620000009 0 162000000 108000000 0 -162000000 216000000

7 8 9 10 11 127 600000000 0 0 -600000000 0 08 0 6000000 18000000 0 -6000000 180000009 0 18000000 72000000 0 -18000000 3600000010 -600000000 0 0 600000000 0 011 0 -6000000 -18000000 0 6000000 -1800000012 0 18000000 36000000 0 -18000000 72000000

10 11 12 13 14 1510 1800000000 0 0 -1800000000 0 011 0 162000000 162000000 0 -162000000 16200000012 0 162000000 216000000 0 -162000000 10800000013 -1800000000 0 0 1800000000 0 014 0 -162000000 -162000000 0 162000000 -16200000015 0 162000000 108000000 0 -162000000 216000000

10 11 12 16 17 1810 6000000 0 18000000 -6000000 0 1800000011 0 600000000 0 0 -600000000 012 18000000 0 72000000 -18000000 0 3600000016 -6000000 0 -18000000 6000000 0 -1800000017 0 -600000000 0 0 600000000 018 18000000 0 36000000 -18000000 0 72000000

INDICE 1 INDICE 2ELEMENTO

1 2 31 1 6000000 0 01 2 0 0 01 3 -18000000 0 01 4 -6000000 0 01 5 0 0 01 6 -18000000 0 01 7 0 0 01 8 0 0 01 9 0 0 01 10 0 0 01 11 0 0 01 12 0 0 01 13 0 0 01 14 0 0 01 15 0 0 01 16 0 0 01 17 0 0 01 18 0 0 02 1 0 0 02 2 600000000 0 02 3 0 0 02 4 0 0 02 5 -600000000 0 02 6 0 0 02 7 0 0 02 8 0 0 02 9 0 0 02 10 0 0 02 11 0 0 02 12 0 0 02 13 0 0 02 14 0 0 02 15 0 0 02 16 0 0 02 17 0 0 02 18 0 0 03 1 -18000000 0 03 2 0 0 03 3 72000000 0 03 4 18000000 0 03 5 0 0 03 6 36000000 0 03 7 0 0 03 8 0 0 0

3 9 0 0 03 10 0 0 03 11 0 0 03 12 0 0 03 13 0 0 03 14 0 0 03 15 0 0 03 16 0 0 03 17 0 0 03 18 0 0 04 1 -6000000 0 04 2 0 0 04 3 18000000 0 04 4 6000000 1800000000 04 5 0 0 04 6 18000000 0 04 7 0 -1800000000 04 8 0 0 04 9 0 0 04 10 0 0 04 11 0 0 04 12 0 0 04 13 0 0 04 14 0 0 04 15 0 0 04 16 0 0 04 17 0 0 04 18 0 0 05 1 0 0 05 2 -600000000 0 05 3 0 0 05 4 0 0 05 5 600000000 162000000 05 6 0 162000000 05 7 0 0 05 8 0 -162000000 05 9 0 162000000 05 10 0 0 05 11 0 0 05 12 0 0 05 13 0 0 05 14 0 0 05 15 0 0 05 16 0 0 05 17 0 0 05 18 0 0 0

6 1 -18000000 0 06 2 0 0 06 3 36000000 0 06 4 18000000 0 06 5 0 162000000 06 6 72000000 216000000 06 7 0 0 06 8 0 -162000000 06 9 0 108000000 06 10 0 0 06 11 0 0 06 12 0 0 06 13 0 0 06 14 0 0 06 15 0 0 06 16 0 0 06 17 0 0 06 18 0 0 07 1 0 0 07 2 0 0 07 3 0 0 07 4 0 -1800000000 07 5 0 0 07 6 0 0 07 7 0 1800000000 6000000007 8 0 0 07 9 0 0 07 10 0 0 -6000000007 11 0 0 07 12 0 0 07 13 0 0 07 14 0 0 07 15 0 0 07 16 0 0 07 17 0 0 07 18 0 0 08 1 0 0 08 2 0 0 08 3 0 0 08 4 0 0 08 5 0 -162000000 08 6 0 -162000000 08 7 0 0 08 8 0 162000000 60000008 9 0 -162000000 180000008 10 0 0 0

8 11 0 0 -60000008 12 0 0 180000008 13 0 0 08 14 0 0 08 15 0 0 08 16 0 0 08 17 0 0 08 18 0 0 09 1 0 0 09 2 0 0 09 3 0 0 09 4 0 0 09 5 0 162000000 09 6 0 108000000 09 7 0 0 09 8 0 -162000000 180000009 9 0 216000000 720000009 10 0 0 09 11 0 0 -180000009 12 0 0 360000009 13 0 0 09 14 0 0 09 15 0 0 09 16 0 0 09 17 0 0 09 18 0 0 0

10 1 0 0 010 2 0 0 010 3 0 0 010 4 0 0 010 5 0 0 010 6 0 0 010 7 0 0 -60000000010 8 0 0 010 9 0 0 010 10 0 0 60000000010 11 0 0 010 12 0 0 010 13 0 0 010 14 0 0 010 15 0 0 010 16 0 0 010 17 0 0 010 18 0 0 011 1 0 0 011 2 0 0 0

11 3 0 0 011 4 0 0 011 5 0 0 011 6 0 0 011 7 0 0 011 8 0 0 -600000011 9 0 0 -1800000011 10 0 0 011 11 0 0 600000011 12 0 0 -1800000011 13 0 0 011 14 0 0 011 15 0 0 011 16 0 0 011 17 0 0 011 18 0 0 012 1 0 0 012 2 0 0 012 3 0 0 012 4 0 0 012 5 0 0 012 6 0 0 012 7 0 0 012 8 0 0 1800000012 9 0 0 3600000012 10 0 0 012 11 0 0 -1800000012 12 0 0 7200000012 13 0 0 012 14 0 0 012 15 0 0 012 16 0 0 012 17 0 0 012 18 0 0 013 1 0 0 013 2 0 0 013 3 0 0 013 4 0 0 013 5 0 0 013 6 0 0 013 7 0 0 013 8 0 0 013 9 0 0 013 10 0 0 013 11 0 0 013 12 0 0 0

13 13 0 0 013 14 0 0 013 15 0 0 013 16 0 0 013 17 0 0 013 18 0 0 014 1 0 0 014 2 0 0 014 3 0 0 014 4 0 0 014 5 0 0 014 6 0 0 014 7 0 0 014 8 0 0 014 9 0 0 014 10 0 0 014 11 0 0 014 12 0 0 014 13 0 0 014 14 0 0 014 15 0 0 014 16 0 0 014 17 0 0 014 18 0 0 015 1 0 0 015 2 0 0 015 3 0 0 015 4 0 0 015 5 0 0 015 6 0 0 015 7 0 0 015 8 0 0 015 9 0 0 015 10 0 0 015 11 0 0 015 12 0 0 015 13 0 0 015 14 0 0 015 15 0 0 015 16 0 0 015 17 0 0 015 18 0 0 016 1 0 0 016 2 0 0 016 3 0 0 016 4 0 0 0

16 5 0 0 016 6 0 0 016 7 0 0 016 8 0 0 016 9 0 0 016 10 0 0 016 11 0 0 016 12 0 0 016 13 0 0 016 14 0 0 016 15 0 0 016 16 0 0 016 17 0 0 016 18 0 0 017 1 0 0 017 2 0 0 017 3 0 0 017 4 0 0 017 5 0 0 017 6 0 0 017 7 0 0 017 8 0 0 017 9 0 0 017 10 0 0 017 11 0 0 017 12 0 0 017 13 0 0 017 14 0 0 017 15 0 0 017 16 0 0 017 17 0 0 017 18 0 0 018 1 0 0 018 2 0 0 018 3 0 0 018 4 0 0 018 5 0 0 018 6 0 0 018 7 0 0 018 8 0 0 018 9 0 0 018 10 0 0 018 11 0 0 018 12 0 0 018 13 0 0 018 14 0 0 0

18 15 0 0 018 16 0 0 018 17 0 0 018 18 0 0 0

ELEMENTOSOMA

grau da matriz = 184 50 0 60000000 0 00 0 -180000000 0 -60000000 0 00 0 -180000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 6000000000 0 00 0 00 0 -6000000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 -180000000 0 00 0 720000000 0 180000000 0 00 0 360000000 0 00 0 0

0 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 -60000000 0 00 0 180000000 0 18060000000 0 00 0 180000000 0 -18000000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 -6000000000 0 00 0 00 0 7620000000 0 1620000000 0 00 0 -1620000000 0 1620000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 0

0 0 -180000000 0 00 0 360000000 0 180000000 0 1620000000 0 2880000000 0 00 0 -1620000000 0 1080000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 -18000000000 0 00 0 00 0 24000000000 0 00 0 00 0 -6000000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 -1620000000 0 -1620000000 0 00 0 1680000000 0 -1440000000 0 0

0 0 -60000000 0 180000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 1620000000 0 1080000000 0 00 0 -1440000000 0 2880000000 0 00 0 -180000000 0 360000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 -6000000000 0 00 0 0

1800000000 6000000 24060000000 0 00 18000000 18000000

-1800000000 0 -18000000000 0 00 0 00 -6000000 -60000000 0 00 18000000 180000000 0 00 0 0

0 0 00 0 00 0 00 0 00 0 00 0 -60000000 0 -180000000 0 0

162000000 600000000 768000000162000000 0 144000000

0 0 0-162000000 0 -162000000162000000 0 162000000

0 0 00 -600000000 -6000000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 180000000 0 360000000 18000000 18000000

162000000 0 144000000216000000 72000000 360000000

0 0 0-162000000 0 -162000000108000000 0 108000000

0 -18000000 -180000000 0 00 36000000 360000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 0

-1800000000 0 -18000000000 0 00 0 0

1800000000 0 18000000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 0

-162000000 0 -162000000-162000000 0 -162000000

0 0 0162000000 0 162000000-162000000 0 -162000000

0 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 0

162000000 0 162000000108000000 0 108000000

0 0 0-162000000 0 -162000000216000000 0 216000000

0 0 00 0 00 0 00 0 00 0 00 0 00 0 0

0 0 00 0 00 0 00 0 00 0 00 -6000000 -60000000 0 00 -18000000 -180000000 0 00 0 00 0 00 6000000 60000000 0 00 -18000000 -180000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 -600000000 -6000000000 0 00 0 00 0 00 0 00 0 00 600000000 6000000000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 18000000 180000000 0 00 36000000 360000000 0 00 0 0

0 0 00 -18000000 -180000000 0 00 72000000 72000000

MATRIZ DE RIGIDEZ DA ESTRUTURA

1 2 3 4 5 61 6000000 0 -18000000 -6000000 0 -180000002 0 600000000 0 0 -600000000 03 -18000000 0 72000000 18000000 0 360000004 -6000000 0 18000000 1806000000 0 180000005 0 -600000000 0 0 762000000 1620000006 -18000000 0 36000000 18000000 162000000 2880000007 0 0 0 -1800000000 0 08 0 0 0 0 -162000000 -1620000009 0 0 0 0 162000000 108000000

10 0 0 0 0 0 011 0 0 0 0 0 012 0 0 0 0 0 013 0 0 0 0 0 014 0 0 0 0 0 015 0 0 0 0 0 016 0 0 0 0 0 017 0 0 0 0 0 018 0 0 0 0 0 0

MATRIZ DE RIGIDEZ DA ESTRUTURA COM CONDIÇÕES DE CONTORNO

1 2 3 4 5 61 1 0 0 0 0 02 0 1 0 0 0 03 0 0 1 0 0 04 0 0 18000000 1806000000 0 180000005 0 0 0 0 762000000 1620000006 0 0 36000000 18000000 162000000 2880000007 0 0 0 -1800000000 0 08 0 0 0 0 -162000000 -1620000009 0 0 0 0 162000000 108000000

10 0 0 0 0 0 011 0 0 0 0 0 012 0 0 0 0 0 013 0 0 0 0 0 014 0 0 0 0 0 015 0 0 0 0 0 016 0 0 0 0 0 017 0 0 0 0 0 018 0 0 0 0 0 0

INVERSA DA MATRIZ DE RIGIDEZ DA ESTRUTURA COM CONDIÇÕES DE CONTORNO

1 2 3 4 5 61 1 0 0 0 0 02 0 1 0 0 0 03 0 0 1 -5.470547E-21 -3.127321E-23 8.0751378E-224 0 0 -2.8413786094 2.1477331E-07 6.5804612E-10 -2.845947E-085 0 0 -0.0049006522 6.5804612E-10 1.6656457E-09 -1.928938E-106 0 0 0.07410960386 -2.845947E-08 -1.928938E-10 1.2171135E-087 0 0 -2.8401087754 2.1464907E-07 6.5831067E-10 -2.843262E-088 0 0 -0.0020270481 -2.749017E-08 1.2495777E-09 1.3801391E-089 0 0 -0.0530854359 -2.125952E-09 -2.193928E-10 2.5375712E-09

10 0 0 -2.8362992734 2.1427635E-07 6.5910432E-10 -2.835208E-0811 0 0 0.00490065224 -6.580461E-10 1.0209692E-12 1.9289383E-1012 0 0 0.21874974411 -1.086488E-08 -1.627605E-10 -6.439425E-1013 0 0 -2.8362992734 2.1427635E-07 6.5910432E-10 -2.835208E-0814 0 0 0.44240014047 -2.23878E-08 -3.245E-10 -1.094991E-0915 0 0 0.21874974411 -1.086488E-08 -1.627605E-10 -6.439425E-1016 0 0 0 0 0 017 0 0 0 0 0 018 0 0 0.59969994629 -4.813665E-08 -8.339584E-11 7.4099923E-09


7 8 9 10 11 120 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

-1800000000 0 0 0 0 00 -162000000 162000000 0 0 00 -162000000 108000000 0 0 0

2400000000 0 0 -600000000 0 00 168000000 -144000000 0 -6000000 180000000 -144000000 288000000 0 -18000000 36000000

-600000000 0 0 2406000000 0 180000000 -6000000 -18000000 0 768000000 1440000000 18000000 36000000 18000000 144000000 3600000000 0 0 -1800000000 0 00 0 0 0 -162000000 -1620000000 0 0 0 162000000 1080000000 0 0 -6000000 0 -180000000 0 0 0 -600000000 00 0 0 18000000 0 36000000


7 8 9 10 11 120 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

-1800000000 0 0 0 0 00 -162000000 162000000 0 0 00 -162000000 108000000 0 0 0

2400000000 0 0 -600000000 0 00 168000000 -144000000 0 -6000000 180000000 -144000000 288000000 0 -18000000 36000000

-600000000 0 0 2406000000 0 180000000 -6000000 -18000000 0 768000000 1440000000 18000000 36000000 18000000 144000000 3600000000 0 0 -1800000000 0 00 0 0 0 -162000000 -1620000000 0 0 0 162000000 1080000000 0 0 0 0 00 0 0 0 0 00 0 0 18000000 0 36000000


7 8 9 10 11 120 0 0 0 0 00 0 0 0 0 0

-1.041991E-20 1.0770705E-21 0 -7.499788E-21 3.1093262E-23 9.5795285E-232.1464907E-07 -2.749017E-08 -2.125952E-09 2.1427635E-07 -6.580461E-10 -1.086488E-086.5831067E-10 1.2495777E-09 -2.193928E-10 6.5910432E-10 1.0209692E-12 -1.627605E-10-2.843262E-08 1.3801391E-08 2.5375712E-09 -2.835208E-08 1.9289383E-10 -6.439425E-102.1508024E-07 -2.744379E-08 -2.107662E-09 2.1470708E-07 -6.583107E-10 -1.090753E-08-2.744379E-08 2.8834693E-08 9.1556593E-09 -2.730465E-08 4.1708897E-10 -4.725228E-09-2.107662E-09 9.1556593E-09 7.6500468E-09 -2.052795E-09 2.193928E-10 -3.315709E-092.1470708E-07 -2.730465E-08 -2.052795E-09 2.1599929E-07 -6.591043E-10 -1.10355E-08-6.583107E-10 4.1708897E-10 2.193928E-10 -6.591043E-10 1.6656457E-09 1.6276047E-10-1.090753E-08 -4.725228E-09 -3.315709E-09 -1.10355E-08 1.6276047E-10 1.0370388E-082.1470708E-07 -2.730465E-08 -2.052795E-09 2.1599929E-07 -6.591043E-10 -1.10355E-08-2.247338E-08 -9.033368E-09 -6.412025E-09 -2.273011E-08 1.9911666E-09 2.0903536E-08-1.090753E-08 -4.725228E-09 -3.315709E-09 -1.10355E-08 1.6276047E-10 1.0370388E-08

0 0 0 0 0 00 0 0 0 0 0

-4.8223E-08 9.1887761E-09 2.1710532E-09 -4.848207E-08 8.3395845E-11 -2.426318E-09


13 14 15 16 17 180 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

-1800000000 0 0 -6000000 0 180000000 -162000000 162000000 0 -600000000 00 -162000000 108000000 -18000000 0 36000000

1800000000 0 0 0 0 00 162000000 -162000000 0 0 00 -162000000 216000000 0 0 00 0 0 6000000 0 -180000000 0 0 0 600000000 00 0 0 -18000000 0 72000000


13 14 15 16 17 180 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

-1800000000 0 0 0 0 180000000 -162000000 162000000 0 0 00 -162000000 108000000 0 0 36000000

1800000000 0 0 0 0 00 162000000 -162000000 0 0 00 -162000000 216000000 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 72000000


13 14 15 16 17 180 0 0 0 0 00 0 0 0 0 0

-6.972432E-21 6.3914923E-22 8.8567271E-23 0 0 1.54019E-212.1427635E-07 -2.23878E-08 -1.086488E-08 0 0 -4.8137E-086.5910432E-10 -3.245E-10 -1.627605E-10 0 0 -8.3396E-11-2.835208E-08 -1.094991E-09 -6.439425E-10 0 0 7.40999E-092.1470708E-07 -2.247338E-08 -1.090753E-08 0 0 -4.8223E-08-2.730465E-08 -9.033368E-09 -4.725228E-09 0 0 9.18878E-09-2.052795E-09 -6.412025E-09 -3.315709E-09 0 0 2.17105E-092.1599929E-07 -2.273011E-08 -1.10355E-08 0 0 -4.8482E-08-6.591043E-10 1.9911666E-09 1.6276047E-10 0 0 8.33958E-11-1.10355E-08 2.0903536E-08 1.0370388E-08 0 0 -2.4263E-09

2.1655484E-07 -2.273011E-08 -1.10355E-08 0 0 -4.8482E-08-2.273011E-08 6.8489596E-08 3.9422054E-08 0 0 -4.7692E-09-1.10355E-08 3.9422054E-08 2.8888906E-08 0 0 -2.4263E-09

0 0 0 1 0 00 0 0 0 1 0

-4.848207E-08 -4.769241E-09 -2.426318E-09 0 0 2.72226E-08

VETOR FORÇA VETOR DESLOCAMENTODIREÇÃO CARGA (N ou N.m) DESLOCAMENTO (m ou rad) 3° genero

1 0 0 02 0 0 03 0 -3.42818936999148E-16 04 0 0.0087296420182571 05 -30000 -0.00042289405462458 -300006 -10000 -0.00464561372585078 -100007 0 0.00871228468772611 08 -310000 -0.0100510291004522 -3100009 -80000 -0.00360143222877471 -8000010 0 0.00866021269613315 011 -150000 -0.000393772612042088 -15000012 30000 0.00202809732350854 3000013 0 0.00866021269613315 014 0 0.00366242203497499 015 0 0.00202809732350854 016 0 0 017 0 0 018 0 -0.00317910183578755 0

com apoio de 2 genero0 NóTipo de DeslocamentoValor0 4 dx 0.008729640 14 dy 0.003662420 15 Ө 0.0020281

-37500-15000

0-280000 Nó dx dy Ѳ

0 1 0.00000 0.00000 0.000000 2 0.00873 -0.00042 -0.00465

-172500 3 0.00871 -0.01005 -0.0036075000 4 0.00866 -0.00039 0.00203

0 5 0.00866 0.00366 0.002030 6 0.00000 0.00000 -0.003180000

DESLOCAMENTOS NODAIS (m ou rad)

ELEMENTO 1NÓ 1 1NÓ 2 2

DIREÇÂO LOCAL DIREÇÂO GLOBAL U u1 1 0 0.0000002 2 0 0.0000003 3 -1.91E-16 0.0000004 4 0.00873 -0.0004235 5 -0.00042 -0.0087306 6 -0.00465 -0.004646


DIREÇÂO LOCAL DIREÇÂO GLOBAL U u1 4 0.00873 0.0087302 5 -0.00042 -0.0004233 6 -0.00465 -0.0046464 7 0.008712 0.0087125 8 -0.01005 -0.0100516 9 -0.0036 -0.003601


DIREÇÂO LOCAL DIREÇÂO GLOBAL U u1 7 0.008712 0.0087122 8 -0.01005 -0.0100513 9 -0.0036 -0.0036014 10 0.00866 0.0086605 11 -0.00039 -0.0003946 12 0.002028 0.002028

ELEMENTO 4NÓ 1 4

NÓ 2 5

DIREÇÂO LOCAL DIREÇÂO GLOBAL U u1 10 0.00866 0.0086602 11 -0.00039 -0.0003943 12 0.002028 0.0020284 13 0.00866 0.0086605 14 0.003662 0.0036626 15 0.002028 0.002028


Direção Local Direção Global U u1 10 0.00866 0.0003942 11 -0.00039 0.0086603 12 0.002028 0.0020284 16 0 0.0000005 17 0 0.0000006 18 -0.00318 -0.003179

ESFORÇOS NODAIS (N ou N.m)

ELEMENTO 1

DIREÇÂO LOCAL f1 253736.42 -31243.23 -10108.54 -253736.45 31243.26 -177350.6

ELEMENTO 2

DIREÇÂO LOCAL f1 31243.22 223736.43 167350.64 -31243.25 -223736.46 280122.2

ELEMENTO 3

DIREÇÂO LOCAL f1 31243.22 -86263.63 -360122.24 -31243.25 86263.66 -157459.2

ELEMENTO 4

DIREÇÂO LOCAL f1 0.02 0.03 0.04 0.05 0.06 0.0

ELEMENTO 5

Direção Local f1 236263.62 31243.23 187459.24 -236263.65 -31243.26 0.0

ESFORÇOS

ELEMENTO 1 ELEMENTO 2 ELEMENTO 31 31243.19 31.24 31.2 4 31243.19 31.24 31.2 7 31243.19 31.242 253736.43 253.74 253.7 5 223736.43 223.74 253.7 8 -86263.57 -86.263 -10108.54 -10.11 -10.1 6 167350.63 167.35 177.4 9 -360122.23 -360.124 -31243.19 -31.24 -31.2 7 -31243.19 -31.24 -31.2 10 -31243.19 -31.245 -253736.43 -253.74 -253.7 8 -223736.43 -223.74 -193.7 11 86263.57 86.266 -177350.63 -177.35 -177.4 9 280122.23 280.12 270.1 12 -157459.17 -157.46

REAÇÕES DE APOIO (KN/M)APOIO DA ESQUERDA APOIO DA DIREITA normal ok

HORIZONTAL 31.2 -31.2 cortanteVERTICAL 253.7 236.3 fletor

MOMENTO -10.1

ESFORÇOS

ELEMENTO 3 ELEMENTO 4 ELEMENTO 531.2 10 0.000000 0.00 0.0 10 31243.19 31.2 31.23.7 11 0.000000 0.00 60.0 11 -236263.57 -236.3 -236.3

-270.1 12 0.000000 0.00 60.0 12 187459.17 187.5 187.5-31.2 13 0.000000 0.00 0.0 16 -31243.19 -31.2 -31.2176.3 14 0.000000 0.00 0.0 17 236263.57 236.3 236.3-247.5 15 0.000000 0.00 0.0 18 0.00 0.0 0.0

Documents

Trabalho Teoria II - LIDICI