Ejercicios de Analisis Matricial (Metodo de La Rigidez)
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MATRIZ ELEMNTO 2 INDICE 1 5 INDICE 1 K' = 1 -1 5 -1 1 K = λx = 0.6 λy = 0.8 T = 0.6 0.8 0 0 0 0 0.6 0.8 K [EA/L] = T^t = 0.6 0 0.8 0 0 0.6 0 0.8 1 0.072 0.096 0 0 -0.072 -0.096 MATRIZ ELEMENTO 1 indice 1 4 indice k' = 1 -1 1 -1 1 4 λx = 1 K = λy = 0 T = 1 0 0 0 0 0 1 0 T^t = 1 0 0 0 K [EA/L] =
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excel para un edificio de dos pisos por el metodo de las rigideces y condensación estatica
Transcript of Ejercicios de Analisis Matricial (Metodo de La Rigidez)
ejemplo 14-1 hibbeler AEMATRIZ ELEMNTO 2ensamblaje de matrices INDICE 15INDICE1K' = 1-15123456-11Kt = K1+K20.40533333330.096-0.33333333330-0.072-0.0961K = 0.360.48-0.36-0.480.0960.12800-0.096-0.1282x =0.60.480.64-0.48-0.64-0.333333333300.33333333330003y = 0.8-0.36-0.480.360.480000004-0.48-0.640.480.64-0.072-0.096000.0720.0965-0.096-0.128000.0960.1286T = 0.60.800000.60.81256K [EA/L] =0.0720.096-0.072-0.09610.0960.128-0.096-0.1282T^t = 0.60-0.072-0.0960.0720.09650.80-0.096-0.1280.0960.128600.600.81234560.0720.09600-0.072-0.09610.0960.12800-0.096-0.128200000030000004-0.072-0.096000.0720.0965-0.096-0.128000.0960.1286
MATRIZ ELEMENTO 1
indice14indice
k' = 1-11-114
x =1K = 10-10y = 00000-10100000T = 10000010
1234T^t = 10K [EA/L] =0.33333333330-0.333333333301000000201-0.333333333300.3333333333030000004
1234560.33333333330-0.333333333300010000002-0.333333333300.33333333330003000000400000050000006
REVISAR ME DA CAMBIADO LA 5 ,6MATRIZ ELEMENTO 1 INDICE 15INDICE11234567812345678K' = 1-150.1000-0.10001Kt = 0.13535533910.035355339100-0.10-0.0353553391-0.0353553391-11K10000000020.03535533910.13535533910-0.100-0.0353553391-0.0353553391K = 10-10000000003000.1353553391-0.0353553391-0.03535533910.0353553391-0.10x =100000000000040-0.1-0.03535533910.13535533910.0353553391-0.035355339100y = 0-1010-0.10000.10005-0.10-0.03535533910.03535533910.2353553391-0.03535533910-0.10000000000006000.0353553391-0.0353553391-0.03535533910.035355339100000000007-0.0353553391-0.0353553391-0.10000.13535533910.0353553391T = 1000000000008-0.0353553391-0.035355339100-0.100.03535533910.135355339100101256K [EA/L] =0.10-0.10100002T^t = 10-0.100.10500000060100
MATRIZ ELEMENTO 2 INDICE 17INDICE112345678K' = 1-170.03535533910.03535533910000-0.0353553391-0.03535533911-11K20.03535533910.03535533910000-0.0353553391-0.03535533912K = 0.50.5-0.5-0.5000000003x =0.70710678120.50.5-0.5-0.5000000004y = 0.7071067812-0.5-0.50.50.5000000005-0.5-0.50.50.5000000006-0.0353553391-0.035355339100000.03535533910.03535533917T = 0.70710678120.707106781200-0.0353553391-0.035355339100000.03535533910.03535533918000.70710678120.70710678121278K [EA/L] =0.03535533910.0353553391-0.0353553391-0.035355339110.03535533910.0353553391-0.0353553391-0.03535533912T^t = 0.70710678120-0.0353553391-0.03535533910.03535533910.035355339170.70710678120-0.0353553391-0.03535533910.03535533910.0353553391800.707106781200.7071067812
MATRIZ ELEMENTO 3 INDICE 13INDICE112345678K' = 1-13000000001-11K300.10-0.100002K = 0000000000003x =0L=10010-10-0.100.100004y = 100000000000050-101000000006000000007T = 010000000000800011234K [EA/L] =0000100.10-0.12T^t = 0000003100-0.100.140001
MATRIZ ELEMENTO 4 INDICE 37INDICE312345678K' = 1-17000000001-11K4000000002K = 10-10000.1000-0.103x =1L=100000000000004y = 0-1010000000005000000000000600-0.10000.107T = 100000000000800103478K [EA/L] =0.10-0.10300004T^t = 10-0.100.10700000080100
MATRIZ ELEMENTO 5 INDICE 35INDICE312345678K' = 1-15000000001-11K500000002K = 0.5-0.5-0.50.5000.0353553391-0.0353553391-0.03535533910.0353553391003x =0.7071067812L=14.1421356237-0.50.50.5-0.500-0.03535533910.03535533910.0353553391-0.0353553391004y = -0.7071067812-0.50.50.5-0.500-0.03535533910.03535533910.0353553391-0.03535533910050.5-0.5-0.50.5000.0353553391-0.0353553391-0.03535533910.0353553391006000000007T = 0.7071067812-0.707106781200000000008000.7071067812-0.70710678123456K [EA/L] =0.0353553391-0.0353553391-0.03535533910.03535533913-0.03535533910.03535533910.0353553391-0.03535533914T^t = 0.70710678120-0.03535533910.03535533910.0353553391-0.03535533915-0.707106781200.0353553391-0.0353553391-0.03535533910.0353553391600.70710678120-0.7071067812
MATRIZ ELEMENTO 6 INDICE 57INDICE512345678K' = 1-17000000001-11K6000000002K = 0000000000003x =0L=10010-1000000004y = 1000000000.100-0.150-101000000006000000007T = 010065780000-0.1000.1800015678K [EA/L] =00005600.10-0.165T^t = 00000077100-0.100.1880001
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