Trabalho Teorias 2 final

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Capa
	Planilha para calculo de treliça, atraves do metodo dos deslocamentos.
	Alunos:	Bruno A. Brunetto
	Filipe Moraes Borges
	Mairon Bortot
	Roberto A. Pereira Junior
	Curso:	Engenharia Civil	UNISUL	Maio, 2016
Principal
	DADOS DA ESTRUTURA
	A	B	H1	H2	H3	P1	P2	P3	P4	P5
	5.00	4.00	1.00	1.50	2.00	15.00	20.00	25.00	35.00	30.00
	CONECTIVIDADE
	ELEMENTO	SEÇÕES (cm)	AREAS (m²)	MODULO ELASTICIDADE	L(m)	Sen α	Cos α	Ângulo	(E.A)/L
	BASE	LARG.
	1	20	30	0.06000	2.14E+07	8.0000000000	0.0000000000	1.0000000000	0.0000000000	1.61E+05
	2	20	40	0.08000	2.14E+07	9.0553851381	0.1104315261	0.9938837347	6.3401917459	1.89E+05
	3	20	40	0.08000	2.14E+07	9.0553851381	-0.1104315261	0.9938837347	6.3401917459	1.89E+05
	4	20	40	0.08000	2.14E+07	6.7268120235	0.6689647316	0.7432941462	41.9872124958	2.55E+05
	5	20	40	0.08000	2.14E+07	9.3407708461	0.2676438638	0.9635179096	15.5241109968	1.83E+05
	6	20	50	0.10000	2.14E+07	4.4721359550	-0.4472135955	0.8944271910	26.5650511771	4.79E+05
	7	20	50	0.10000	2.14E+07	4.4721359550	0.4472135955	0.8944271910	26.5650511771	4.79E+05
	8	20	40	0.08000	2.14E+07	9.3407708461	-0.2676438638	0.9635179096	15.5241109968	1.83E+05
	9	20	40	0.08000	2.14E+07	6.7268120235	-0.6689647316	0.7432941462	41.9872124958	2.55E+05
	10	20	50	0.10000	2.14E+07	1.5000000000	1.0000000000	0.0000000000	90.0000000000	1.43E+06
	ELEMENTOS DA CONECTIVIDADE
	REGRA DA CORRESPONDENCIA	DADOS ADICIONAIS
	BARRAS ->	1	2	3	4	5	6	7	8	9	10	GRAVIDADE	9.80665000
	ELEMENTO	Inicio	Fim	ELEMENTO	Inicio	Fim	J	K	J	K	J	K	J	K	J	K	J	K	J	K	J	K	J	K	J	K	ELASTICIDADE	210.00000000
	1	2	5	6	2	3	ELJ -> ELK	2	5	1	4	4	6	1	2	1	3	2	3	3	5	3	6	5	6	3	4
	2	1	4	7	3	5	2J - 1	3	1	7	1	1	3	5	5	9	5
	3	4	6	8	3	6	2J	4	2	8	2	2	4	6	6	10	6
	4	1	2	9	5	6	2K - 1	9	7	11	3	5	5	9	11	11	7
	5	1	3	10	3	4	2K	10	8	12	4	6	6	10	12	12	8
	{T} =	cos²	cos x sen 	-cos x cos	- cos x sen 
	cos x sen 	sen x sen 	- cos x sen 	- sen x sen 
	-cos x cos	- cos x sen 	cos²	cos x sen 
	-cos x sen 	- sen x sen 	cos x sen 	sen²
	MATRIZ AUXILIAR GLOBAL
	BARRAS	1	2	3	4	5	6	7	8	9	10	11	12
	3	BARRA 1	1.61E+05	0.00E+00	-1.61E+05	0.00E+00
	4	0.00E+00	0.00E+00	0.00E+00	0.00E+00
	9	-1.61E+05	0.00E+00	1.61E+05	0.00E+00
	10	0.00E+00	0.00E+00	0.00E+00	0.00E+00
	1	BARRA 2	1.87E+05	2.08E+04	-1.87E+05	-2.08E+04
	2	2.08E+04	2.31E+03	-2.08E+04	-2.31E+03
	7	-1.87E+05	-2.08E+04	1.87E+05	2.08E+04
	8	-2.08E+04	-2.31E+03	2.08E+04	2.31E+03
	7	BARRA 3	1.87E+05	-2.08E+04	-1.87E+05	2.08E+04
	8	-2.08E+04	2.31E+03	2.08E+04	-2.31E+03
	11	-1.87E+05	2.08E+04	1.87E+05	-2.08E+04
	12	2.08E+04	-2.31E+03	-2.08E+04	2.31E+03
	1	BARRA 4	1.41E+05	1.27E+05	-1.41E+05	-1.27E+05
	2	1.27E+05	1.14E+05	-1.27E+05	-1.14E+05
	3	-1.41E+05	-1.27E+05	1.41E+05	1.27E+05
	4	-1.27E+05	-1.14E+05	1.27E+05	1.14E+05
	1	BARRA 5	1.70E+05	4.73E+04	-1.70E+05	-4.73E+04
	2	4.73E+04	1.31E+04	-4.73E+04	-1.31E+04
	5	-1.70E+05	-4.73E+04	1.70E+05	4.73E+04
	6	-4.73E+04	-1.31E+04	4.73E+04	1.31E+04
	3	BARRA 6	3.83E+05	-1.92E+05	-3.83E+05	1.92E+05
	4	-1.92E+05	9.58E+04	1.92E+05	-9.58E+04
	5	-3.83E+05	1.92E+05	3.83E+05	-1.92E+05
	6	1.92E+05	-9.58E+04	-1.92E+05	9.58E+04
	5	BARRA 7	3.83E+05	1.92E+05	-3.83E+05	-1.92E+05
	6	1.92E+05	9.58E+04	-1.92E+05	-9.58E+04
	9	-3.83E+05	-1.92E+05	3.83E+05	1.92E+05
	10	-1.92E+05	-9.58E+04	1.92E+05	9.58E+04
	5	BARRA 8	1.70E+05	-4.73E+04	-1.70E+05	4.73E+04
	6	-4.73E+04	1.31E+04	4.73E+04	-1.31E+04
	11	-1.70E+05	4.73E+04	1.70E+05	-4.73E+04
	12	4.73E+04	-1.31E+04	-4.73E+04	1.31E+04
	9	BARRA 9	1.41E+05	-1.27E+05	-1.41E+05	1.27E+05
	10	-1.27E+05	1.14E+05	1.27E+05	-1.14E+05
	11	-1.41E+05	1.27E+05	1.41E+05	-1.27E+05
	12	1.27E+05	-1.14E+05	-1.27E+05	1.14E+05
	5	BARRA 10	0.00E+00	0.00E+00	0.00E+00	0.00E+00
	6	0.00E+00	1.43E+06	0.00E+00	-1.43E+06
	7	0.00E+00	0.00E+00	0.00E+00	0.00E+00
	8	0.00E+00	-1.43E+06	0.00E+00	1.43E+06
	MATRIZ GLOBAL
	1	2	3	4	5	6	7	8	9	10	11	12
	1	4.98E+05	1.95E+05	-1.41E+05	-1.27E+05	-1.70E+05	-4.73E+04	-1.87E+05	-2.08E+04	0.00E+00	0.00E+00	0.00E+00	0.00E+00
	2	1.95E+05	1.29E+05	-1.27E+05	-1.14E+05	-4.73E+04	-1.31E+04	-2.08E+04	-2.31E+03	0.00E+00	0.00E+00	0.00E+00	0.00E+00
	3	-1.41E+05	-1.27E+05	6.84E+05	-6.49E+04	-3.83E+05	1.92E+05	0.00E+00	0.00E+00	-1.61E+05	0.00E+00	0.00E+00	0.00E+00
	4	-1.27E+05	-1.14E+05	-6.49E+04	2.10E+05	1.92E+05	-9.58E+04	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0.00E+00
	5	-1.70E+05	-4.73E+04	-3.83E+05	1.92E+05	1.11E+06	7.28E-12	0.00E+00	0.00E+00	-3.83E+05	-1.92E+05	-1.70E+05	4.73E+04
	6	-4.73E+04	-1.31E+04	1.92E+05	-9.58E+04	7.28E-12	1.65E+06	0.00E+00	-1.43E+06	-1.92E+05	-9.58E+04	4.73E+04	-1.31E+04
	7	-1.87E+05	-2.08E+04	0.00E+00	0.00E+00	0.00E+00	0.00E+00	3.74E+05	0.00E+00	0.00E+00	0.00E+00	-1.87E+05	2.08E+04
	8	-2.08E+04	-2.31E+03	0.00E+00	0.00E+00	0.00E+00	-1.43E+06	0.00E+00	1.43E+06	0.00E+00	0.00E+00	2.08E+04	-2.31E+03
	9	0.00E+00	0.00E+00	-1.61E+05	0.00E+00	-3.83E+05	-1.92E+05	0.00E+00	0.00E+00	6.84E+05	6.49E+04	-1.41E+05	1.27E+05
	10	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-1.92E+05	-9.58E+04	0.00E+00	0.00E+00	6.49E+04	2.10E+05	1.27E+05	-1.14E+05
	11	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-1.70E+05	4.73E+04	-1.87E+05	2.08E+04	-1.41E+05	1.27E+05	4.98E+05	-1.95E+05
	12	0.00E+00	0.00E+00	0.00E+00	0.00E+00	4.73E+04	-1.31E+04	2.08E+04	-2.31E+03	1.27E+05	-1.14E+05	-1.95E+05	1.29E+05
	MATRIZ AUXILIAR
	6.84E+05	-6.49E+04	-3.83E+05	1.92E+05	0.00E+00	0.00E+00	-1.61E+05	0.00E+00
	-6.49E+04	2.10E+05	1.92E+05	-9.58E+04	0.00E+00	0.00E+00	0.00E+00	0.00E+00
	-3.83E+05	1.92E+05	1.11E+06	7.28E-12	0.00E+00	0.00E+00	-3.83E+05	-1.92E+05
	1.92E+05	-9.58E+04	7.28E-12	1.65E+06	0.00E+00	-1.43E+06	-1.92E+05	-9.58E+04
	0.00E+00	0.00E+00	0.00E+00	0.00E+00	3.74E+05	0.00E+00	0.00E+00	0.00E+00
	0.00E+00	0.00E+00	0.00E+00	-1.43E+06	0.00E+00	1.43E+06	0.00E+00	0.00E+00
	-1.61E+05	0.00E+00	-3.83E+05	-1.92E+05	0.00E+00	0.00E+00	6.84E+05	6.49E+04
	0.00E+00	0.00E+00	-1.92E+05	-9.58E+04	0.00E+00	0.00E+00	6.49E+04	2.10E+05
	COMPARATIVOS
	REAÇÕS NOS APOIOS	DESVIO PADRÃO	DESLOCAMENTOS	DESVIO PADRÃO	ESFORÇOS NAS BARRAS	DESVIO PADRÃO
	EXCEL	FTOOL	EXCEL	FTOOL	EXCEL	FTOOL
	A1	94.98825	0.000000	47.494123	A1	0.00E+00	0.000000	0.00E+00	Barra 1	-57.03203	0.000000	28.516017
	A2	41.66667	0.000000	20.833333	A2	0.00E+00	0.000000	0.00E+00	Barra 2	-17.79865	0.000000	8.899325
	A3	15.00000	0.000000	7.500000	A3	1.40E-04	0.000000	6.99E-05	Barra 3	-17.79865	0.000000	8.899325
	A4	-20.00000	0.000000	10.000000	A4	-3.87E-04	0.000000	1.93E-04	Barra 4	-39.41529	0.000000	19.707645
	A5	-0.00000	0.000000	0.000000	A5	-5.03E-05	0.000000	2.52E-05	Barra 5	-49.81880	0.000000	24.909398
	A6	0.00000	0.000000	0.000000	A6	-8.34E-04	0.000000	4.17E-04	Barra 6	14.23803	0.000000	7.119014
	A7	0.00000	0.000000	0.000000	A7	0.00E+00	0.000000	0.00E+00	Barra 7	-4.92827	0.000000	2.464135
	A8	-30.00000	0.000000	15.000000	A8	-8.52E-04	0.000000	4.26E-04	Barra 8	-32.02685	0.000000	16.013426
	A9	-25.00000	0.000000	12.500000	A9	-2.15E-04	0.000000	1.08E-04	Barra 9	-49.02502	0.000000	24.512511
	A10	-35.00000	0.000000	17.500000	A10	-5.27E-04	0.000000	2.63E-04	Barra 10	-26.06894	0.000000	13.034468
	A11	-84.98825	0.000000	42.494123	A11	0.00E+00	0.000000	0.00E+00
	A12	43.33333	0.000000	21.666667	A12	0.00E+00	0.000000	0.00E+00
Auxiliar
	PLANILHA AUXILIAR {SG}
	6.84E+05	-6.49E+04	-3.83E+05	1.92E+05	0.00E+00	0.00E+00	-1.61E+05	0.00E+00
	-6.49E+04	2.10E+05	1.92E+05	-9.58E+04	0.00E+00	0.00E+00	0.00E+00	0.00E+00
	-3.83E+05	1.92E+05	1.11E+06	7.28E-12	0.00E+00	0.00E+00	-3.83E+05	-1.92E+05
	1.92E+05	-9.58E+04	7.28E-12	1.65E+06	0.00E+00	-1.43E+06	-1.92E+05	-9.58E+04
	0.00E+00	0.00E+00	0.00E+00	0.00E+00	3.74E+05	0.00E+00	0.00E+00	0.00E+00
	0.00E+00	0.00E+00	0.00E+00	-1.43E+06	0.00E+00	1.43E+06	0.00E+00	0.00E+00
	-1.61E+05	0.00E+00	-3.83E+05	-1.92E+05	0.00E+00	0.00E+00	6.84E+05	6.49E+04
	0.00E+00	0.00E+00	-1.92E+05	-9.58E+04	0.00E+00	0.00E+00	6.49E+04	2.10E+05
	MATRIZ INVERSA {SG -1}
	3.35E-06	-1.94E-06	1.89E-06	-2.75E-06	0.00E+00	-2.74E-06	1.06E-06	1.41E-07
	-1.94E-06	8.61E-06	-2.10E-06	5.54E-06
0.00E+00	5.53E-06	-1.41E-07	6.60E-07
	1.89E-06	-2.10E-06	2.94E-06	-2.87E-22	0.00E+00	5.74E-22	1.89E-06	2.10E-06
	-2.75E-06	5.54E-06	0.00E+00	1.40E-05	0.00E+00	1.40E-05	2.75E-06	5.54E-06
	0.00E+00	0.00E+00	0.00E+00	0.00E+00	2.68E-06	0.00E+00	0.00E+00	0.00E+00
	-2.74E-06	5.53E-06	0.00E+00	1.40E-05	0.00E+00	1.46E-05	2.74E-06	5.53E-06
	1.06E-06	-1.41E-07	1.89E-06	2.75E-06	0.00E+00	2.74E-06	3.35E-06	1.94E-06
	1.41E-07	6.60E-07	2.10E-06	5.54E-06	0.00E+00	5.53E-06	1.94E-06	8.61E-06
	DESLOCAMENTO {u} = {F} x {SG-1}
	P1	15.00000	X	3.35E-06	-1.94E-06	1.89E-06	-2.75E-06	0.00E+00	-2.74E-06	1.06E-06	1.41E-07	=	1.40E-04	A3
	P2	-20.00000	-1.94E-06	8.61E-06	-2.10E-06	5.54E-06	0.00E+00	5.53E-06	-1.41E-07	6.60E-07	-3.87E-04	A4
	0.00000	1.89E-06	-2.10E-06	2.94E-06	-2.87E-22	0.00E+00	5.74E-22	1.89E-06	2.10E-06	-5.03E-05	A5
	0.00000	-2.75E-06	5.54E-06	0.00E+00	1.40E-05	0.00E+00	1.40E-05	2.75E-06	5.54E-06	-8.34E-04	A6
	0.00000	0.00E+00	0.00E+00	0.00E+00	0.00E+00	2.68E-06	0.00E+00	0.00E+00	0.00E+00	0.00E+00	A7
	P5	-30.00000	-2.74E-06	5.53E-06	0.00E+00	1.40E-05	0.00E+00	1.46E-05	2.74E-06	5.53E-06	-8.52E-04	A8
	P3	-25.00000	1.06E-06	-1.41E-07	1.89E-06	2.75E-06	0.00E+00	2.74E-06	3.35E-06	1.94E-06	-2.15E-04	A9
	P4	-35.00000	1.41E-07	6.60E-07	2.10E-06	5.54E-06	0.00E+00	5.53E-06	1.94E-06	8.61E-06	-5.27E-04	A10
	REAÇÕES {F} = {SG} x {U}
	1	2	3	4	5	6	7	8	9	10	11	12
	1	4.98E+05	1.95E+05	-1.41E+05	-1.27E+05	-1.70E+05	-4.73E+04	-1.87E+05	-2.08E+04	0.00E+00	0.00E+00	0.00E+00	0.00E+00	X	0.00E+00	=	94.98825	Rax
	2	1.95E+05	1.29E+05	-1.27E+05	-1.14E+05	-4.73E+04	-1.31E+04	-2.08E+04	-2.31E+03	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0.00E+00	41.66667	Ray
	3	-1.41E+05	-1.27E+05	6.84E+05	-6.49E+04	-3.83E+05	1.92E+05	0.00E+00	0.00E+00	-1.61E+05	0.00E+00	0.00E+00	0.00E+00	1.40E-04	15.00000	A3
	4	-1.27E+05	-1.14E+05	-6.49E+04	2.10E+05	1.92E+05	-9.58E+04	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-3.87E-04	-20.00000	A4
	5	-1.70E+05	-4.73E+04	-3.83E+05	1.92E+05	1.11E+06	7.28E-12	0.00E+00	0.00E+00	-3.83E+05	-1.92E+05	-1.70E+05	4.73E+04	-5.03E-05	-0.00000	A5
	6	-4.73E+04	-1.31E+04	1.92E+05	-9.58E+04	7.28E-12	1.65E+06	0.00E+00	-1.43E+06	-1.92E+05	-9.58E+04	4.73E+04	-1.31E+04	-8.34E-04	0.00000	A6
	7	-1.87E+05	-2.08E+04	0.00E+00	0.00E+00	0.00E+00	0.00E+00	3.74E+05	0.00E+00	0.00E+00	0.00E+00	-1.87E+05	2.08E+04	0.00E+00	0.00000	A7
	8	-2.08E+04	-2.31E+03	0.00E+00	0.00E+00	0.00E+00	-1.43E+06	0.00E+00	1.43E+06	0.00E+00	0.00E+00	2.08E+04	-2.31E+03	-8.52E-04	-30.00000	A8
	9	0.00E+00	0.00E+00	-1.61E+05	0.00E+00	-3.83E+05	-1.92E+05	0.00E+00	0.00E+00	6.84E+05	6.49E+04	-1.41E+05	1.27E+05	-2.15E-04	-25.00000	A9
	10	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-1.92E+05	-9.58E+04	0.00E+00	0.00E+00	6.49E+04	2.10E+05	1.27E+05	-1.14E+05	-5.27E-04	-35.00000	A10
	11	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-1.70E+05	4.73E+04	-1.87E+05	2.08E+04	-1.41E+05	1.27E+05	4.98E+05	-1.95E+05	0.00E+00	-84.98825	Rbx
	12	0.00E+00	0.00E+00	0.00E+00	0.00E+00	4.73E+04	-1.31E+04	2.08E+04	-2.31E+03	1.27E+05	-1.14E+05	-1.95E+05	1.29E+05	0.00E+00	43.33333	Rby
	ESFORÇOS NAS BARRAS
	{S} =	(E . A) / L	0	- (E . A) / L	0	{R} =	cos ø	sen ø	0	0
	0	0	0	0	- (sen ø)	cos ø	0	0
	- (E . A) / L	0	(E . A) / L	0	0	0	cos ø	sen ø
	0	0	0	0	0	0	- (sen ø)	cos ø
	{KE} =	1.000000	0.000000	-1.000000	0.000000
	0.000000	0.000000	0.000000	0.000000
	-1.000000	0.000000	1.000000	0.000000
	0.000000	0.000000	0.000000	0.000000
	ESFORÇO BARRA 1
	{R}	{U}	{u}
	{u} = {R} x {U}	3	1.00000000	0.00000000	0.00000000	0.00000000	X	1.40E-04	=	0.0001398717
	4	0.00000000	1.00000000	0.00000000	0.00000000	-3.87E-04	-0.0003867698
	9	0.00000000	0.00000000	1.00000000	0.00000000	-2.15E-04	-0.0002152351
	10	0.00000000	0.00000000	0.00000000	1.00000000	-5.27E-04	-0.0005269133
	{KE}	{u}	{S}
	{S} = {KE} x {u}	3	1.61E+05	0.00E+00	-1.61E+05	0.00E+00	X	0.0001398717	=	57.0320336507
	4	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.0003867698	0.00000000
	9	-1.61E+05	0.00E+00	1.61E+05	0.00E+00	-0.0002152351	-57.0320336507
	10	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.0005269133	0.00000000
	ESFORÇO BARRA 2
	{R}	{U}	{u}
	{u} = {R} x {U}	1	0.99388373	0.11043153	0.00000000	0.00000000	X	0.00E+00	=	0.00000000
	2	-0.11043153	0.99388373	0.00000000	0.00000000	0.00E+00	0.00000000
	7	0.00000000	0.00000000	0.99388373	0.11043153	0.00E+00	-0.00009408
	8	0.00000000	0.00000000	-0.11043153	0.99388373	-8.52E-04	-0.00084674
	{S} = {KE} x {u}	{KE}	{u}	{S}
	1	1.89E+05	0.00E+00	-1.89E+05	0.00E+00	X	0.00000000	=	17.79864991
	2	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0.00000000	0.00000000
	7	-1.89E+05	0.00E+00	1.89E+05	0.00E+00	-0.0000940817	-17.79864991
	8	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.0008467357	0.00000000
	ESFORÇO BARRA 3
	{R}	{U}	{u}
	{u} = {R} x {U}	7	0.99388373	-0.11043153	0.00000000	0.00000000	X	0.00E+00	=	0.00009408
	8	0.11043153	0.99388373	0.00000000	0.00000000	-8.52E-04	-0.00084674
	11	0.00000000	0.00000000	0.99388373	-0.11043153	0.00E+00	0.00000000
	12	0.00000000	0.00000000	0.11043153	0.99388373	0.00E+00	0.00000000
	{S} = {KE} x {u}	{KE}	{u}	{S}
	7	1.89E+05	0.00E+00	-1.89E+05	0.00E+00	X	0.0000940817	=	17.79864991
	8	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.0008467357	0.00000000
	11	-1.89E+05	0.00E+00	1.89E+05	0.00E+00	0.00000000	-17.79864991
	12	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0.00000000	0.00000000
	ESFORÇO BARRA 4
	{R}	{U}	{u}
	{u} = {R} x {U}	1	0.74329415	0.66896473	0.00000000	0.00000000	X	0.00E+00	=	0.00000000
	2	-0.66896473	0.74329415	0.00000000	0.00000000	0.00E+00	0.00000000
	3	0.00000000	0.00000000	0.74329415	0.66896473	1.40E-04	-0.00015477
	4	0.00000000	0.00000000	-0.66896473	0.74329415	-3.87E-04	-0.00038105
	{S} = {KE} x {u}	{KE}	{u}	{S}
	1	2.55E+05	0.00E+00	-2.55E+05	0.00E+00	X	0.00000000	=	39.41529073
	2	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0.00000000	0.00000000
	3	-2.55E+05	0.00E+00	2.55E+05	0.00E+00	-0.0001547695	-39.41529073
	4	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.000381053	0.00000000
	ESFORÇO BARRA 5
	{R}	{U}	{u}
	{u} = {R} x {U}	1	0.96351791	0.26764386	0.00000000	0.00000000	X	0.00E+00	=	0.00000000
	2	-0.26764386	0.96351791	0.00000000	0.00000000	0.00E+00	0.00000000
	5	0.00000000	0.00000000	0.96351791	0.26764386	-5.03E-05	-0.00027164
	6	0.00000000	0.00000000	-0.26764386	0.96351791	-8.34E-04	-0.00078980
	{S} = {KE} x {u}	{KE}	{u}	{S}
	1	1.83E+05	0.00E+00	-1.83E+05	0.00E+00	X	0.00000000	=	49.81879658
	2	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0.00000000	0.00000000
	5	-1.83E+05	0.00E+00	1.83E+05	0.00E+00	-0.000271636	-49.81879658
	6	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.0007897976	0.00000000
	ESFORÇO BARRA 6
	{R}	{U}	{u}
	{u} = {R} x {U}	3	0.89442719	-0.44721360	0.00000000	0.00000000	X	1.40E-04	=	0.00029807
	4	0.44721360	0.89442719	0.00000000	0.00000000	-3.87E-04	-0.00028338
	5	0.00000000	0.00000000	0.89442719	-0.44721360	-5.03E-05	0.00032781
	6	0.00000000	0.00000000	0.44721360	0.89442719	-8.34E-04	-0.00076818
	{S} = {KE} x {u}	{KE}	{u}	{S}
	3	4.79E+05	0.00E+00	-4.79E+05	0.00E+00	X	0.00029807	=	-14.23802731
	4	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.00028338	0.00000000
	5	-4.79E+05	0.00E+00	4.79E+05	0.00E+00	0.0003278087	14.23802731
	6	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.0007681848	0.00000000
	ESFORÇO BARRA 7
	{R}	{U}	{u}
	{u} = {R} x {U}	5	0.89442719	0.44721360	0.00000000	0.00000000	X	-5.03E-05	=	-0.00041786
	6	-0.44721360	0.89442719	0.00000000	0.00000000	-8.34E-04	-0.00072316
	9	0.00000000	0.00000000	0.89442719	0.44721360	-2.15E-04	-0.00042815
	10	0.00000000	0.00000000	-0.44721360	0.89442719	-5.27E-04	-0.00037503
	{S} = {KE} x {u}	{KE}	{u}	{S}
	5	4.79E+05	0.00E+00	-4.79E+05	0.00E+00	X	-0.00041786	=	4.92826964
	6	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.00072316	0.00000000
	9	-4.79E+05	0.00E+00	4.79E+05	0.00E+00	-0.0004281549	-4.92826964
	10	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.0003750295	0.00000000
	ESFORÇO BARRA 8
	{R}	{U}	{u}
	{u} = {R} x {U}	5	0.96351791	-0.26764386	0.00000000	0.00000000	X	-5.03E-05	=	0.00017463
	6	0.26764386	0.96351791	0.00000000	0.00000000	-8.34E-04	-0.00081674
11	0.00000000	0.00000000	0.96351791	-0.26764386	0.00E+00	0.00000000
	12	0.00000000	0.00000000	0.26764386	0.96351791	0.00E+00	0.00000000
	{S} = {KE} x {u}	{KE}	{u}	{S}
	5	1.83E+05	0.00E+00	-1.83E+05	0.00E+00	X	0.00017463	=	32.02685212
	6	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.00081674	0.00000000
	11	-1.83E+05	0.00E+00	1.83E+05	0.00E+00	0	-32.02685212
	12	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0	0.00000000
	ESFORÇO BARRA 9
	{R}	{U}	{u}
	{u} = {R} x {U}	9	0.74329415	-0.66896473	0.00000000	0.00000000	X	-2.15E-04	=	0.00019250
	10	0.66896473	0.74329415	0.00000000	0.00000000	-5.27E-04	-0.00053564
	11	0.00000000	0.00000000	0.74329415	-0.66896473	0.00E+00	0.00000000
	12	0.00000000	0.00000000	0.66896473	0.74329415	0.00E+00	0.00000000
	{S} = {KE} x {u}	{KE}	{u}	{S}
	9	2.55E+05	0.00E+00	-2.55E+05	0.00E+00	X	0.00019250	=	49.02502220
	10	0.00E+00	0.00E+00	0.00E+00	0.00E+00	-0.00053564	0.00000000
	11	-2.55E+05	0.00E+00	2.55E+05	0.00E+00	0	-49.02502220
	12	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0	0.00000000
	ESFORÇO BARRA 10
	{R}	{U}	{u}
	{u} = {R} x {U}	5	0.00000000	1.00000000	0.00000000	0.00000000	X	-5.03E-05	=	-0.00083369
	6	-1.00000000	0.00000000	0.00000000	0.00000000	-8.34E-04	0.00005034
	7	0.00000000	0.00000000	0.00000000	1.00000000	0.00E+00	-0.00085195
	8	0.00000000	0.00000000	-1.00000000	0.00000000	-8.52E-04	0.00000000
	{S} = {KE} x {u}	{KE}	{u}	{S}
	5	1.43E+06	0.00E+00	-1.43E+06	0.00E+00	X	-0.00083369	=	26.06893586
	6	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0.00005034	0.00000000
	7	-1.43E+06	0.00E+00	1.43E+06	0.00E+00	-0.0008519465	-26.06893586
	8	0.00E+00	0.00E+00	0.00E+00	0.00E+00	0	0.00000000