processo de cross teste

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Processo de Cross Vinculações Barra 1 Barra 2 Barra 3 Vinculações 0 L1= 8.0 m L1= 6.0 m L1= 8.0 m 1 Engaste=1 q1= 3.0 kN/m q1= 3.0 kN/m q1= 3.0 kN/m Engaste=1 Apoio=0 EJ1= 10000 EJ1= 10000 EJ1= 10000 Apoio=0 P1= - P1= - P1= - a= - a= - a= - b= - b= - b= - d1= 0.36 K1= 3750.00 Momentos de engastamento perfeito: d2= 0.64 K2= 6666.67 Ma1= 0.0 kN.m Mb2= 9.00 kN.m Mc2= 16.0 kN.m d3= 0.57 K3= 5000.00 Mb1= -24.0 kN.m Mc1= ### Md1= ### d4= 0.43 ou 0.360 0.640 0.570 0.430 0.00 -24.00 9.00 -9.00 16.00 -16.00 5.4 9.6 ® 4.8 -3.37 ¬ -6.73 -5.07 ® -2.54 0 1.21 2.16 ® 1.08 -0.31 ¬ -0.62 -0.46 ® -0.23 0 0.11 0.2 ® 0.1 -0.0285 ¬ -0.057 -0.043 ® -0.02 0 0.01 0.02 0.01 -0.01 0 0 0 0.00 -17.27 17.27 -10.43 10.43 -18.79 Reações de apoio; Gráfico do Momento Fletor (Ftool) 9.84 kN 24.30 kN 18.81 kN 13.05 kN Diagrama do Momento Cortantes (Ftool) Diagrama de momento Fletor obtido através da planilha eletrônica VA= VB= VC= VD= Coef. de Rigidez Coef. De dist 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 -25 -20 -15 -10 -5 0 5 10 16.02375 -17.27 - 0.347749999 999991 -10.4255 9.393000000 00002 -18.7885 -15. -10. -5. 0. 5. 10. 15.

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processo de Cross

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Processo de Cross

CrossProcesso de Cross

VinculaesBarra 1Barra 2Barra 3Vinculaes0L1=8.0 mL1=6.0 mL1=8.0 m1Engaste=1q1=3.0 kN/mq1=3.0 kN/mq1=3.0 kN/mEngaste=1Apoio=0EJ1=10000EJ1=10000EJ1=10000Apoio=0Coef. de RigidezP1=0.0P1=0.0P1=0.0Coef. De distribuioa=0.0a=0.0a=0.0b=0.0b=0.0b=0.0d1=0.36K1=3750.00Momentos de engastamento perfeito:d2=0.64K2=6666.67Ma1=0Mb2=9Mc2=16d3=0.57K3=5000.00Mb1=-24Mc1=-9Md1=-16d4=0.43

ou0.3600.6400.5700.430ou0.00-24.009.00-9.0016.00-16.005.49.64.8-3.37-6.73-5.07-2.5401.212.161.08-0.31-0.62-0.46-0.2300.110.20.1-0.0285-0.057-0.043-0.0200.010.020.01-0.01000

0.00-17.2717.27-10.4310.43-18.79

Reaes de apoio;Grfico do Momento Fletor (Ftool)VA=9.84 kNVB=24.30 kNVC=18.81 kNVD=13.05 kNDiagrama do Momento Cortantes (Ftool)Diagrama de momento Fletor obtido atravs da planilha eletrnica

M.F.

Barra 1Barra 2Barra 3000.54.54562518.34125213.6825316.02375415.365511.7062565.04757-4.611250-17.271-8.629252-2.98853-0.347754-0.7075-4.066250-10.42551-0.97087525.4837538.93837549.39356.84762561.302257-7.2431258-18.7885Cortante09.8416.8423.8430.844-2.165-5.166-8.167-11.168-14.16810.1497.14104.14111.1412-1.8613-4.8614-7.861410.95157.95164.95171.9518-1.0519-4.0520-7.0521-10.0522-13.05220.00

Cross@Processo de Cross

VinculaesBarra 1Barra 2Barra 3Vinculaes0L1=8.0 mL1=6.0 mL1=8.0 m1Engaste=1q1=1.0 kN/mq1=1.0 kN/mq1=1.0 kN/mEngaste=1Apoio=0EJ1=10000EJ1=10000EJ1=10000Apoio=0Coef. de RigidezP1=0.0P1=0.0P1=0.0Coef. De distribuioa=0.0a=0.0a=0.0b=0.0b=0.0b=0.0d1=0.36K1=3750.00Momentos de engastamento perfeito:d2=0.64K2=6666.67Ma1=0Mb2=3Mc2=5d3=0.57K3=5000.00Mb1=-8Mc1=-3Md1=-5d4=0.43

ou0.3600.6400.5700.430ou0.00-8.003.00-3.005.33-5.331.83.21.6-1.12-2.24-1.69-0.8500.40.720.36-0.11-0.21-0.15-0.0800.040.070.035-0.009975-0.01995-0.01505-0.01000.010.01-0.01000

0.00-5.765.76-3.473.48-6.27

Reaes de apoio;Grfico do Momento Fletor (Ftool)VA=3.28 kNVB=8.10 kNVC=6.27 kNVD=4.35 kNDiagrama do Momento Cortantes (Ftool)Diagrama de momento Fletor obtido atravs da planilha eletrnica

M.F.@

Barra 1Barra 2Barra 300.000.51.5212.7824.5635.3445.1253.9061.687-1.540-5.761-2.882-1.003-0.124-0.245-1.360-3.471-0.3221.8332.9843.1352.2860.437-2.428-6.27Cortante03.2812.2821.2830.284-0.725-1.726-2.727-3.728-4.7283.3892.38101.38110.3812-0.6213-1.6214-2.62143.65152.65161.65170.6518-0.3519-1.3520-2.3521-3.3522-4.35220.00

Cross#Processo de Cross

VinculaesBarra 1Barra 2Barra 3Vinculaes0L1=6.0 mL1=4.0 mL1=6.0 m1Engaste=1q1=3.0 kN/mq1=3.0 kN/mq1=5.0 kN/mEngaste=1Apoio=0EJ1=10000EJ1=10000EJ1=10000Apoio=0Coef. de RigidezP1=0.0P1=0.0P1=0.0Coef. De distribuioa=0.0a=0.0a=0.0b=0.0b=0.0b=0.0d1=0.33K1=5000.00Momentos de engastamento perfeito:d2=0.67K2=10000.00Ma1=0Mb2=4Mc2=15d3=0.60K3=6666.67Mb1=-14Mc1=-4Md1=-15d4=0.40

ou0.3300.6700.6000.400ou0.00-13.504.00-4.0015.00-15.003.1356.3653.1825-4.26-8.51-5.67-2.8401.412.851.425-0.43-0.86-0.57-0.2900.140.290.145-0.0435-0.087-0.058-0.0300.010.030.02-0.01-0.01-0.010

0.00-8.818.80-8.698.69-18.17

Reaes de apoio;Grfico do Momento Fletor (Ftool)VA=7.53 kNVB=16.49 kNVC=19.39 kNVD=16.58 kNDiagrama do Momento Cortantes (Ftool)Diagrama de momento Fletor obtido atravs da planilha eletrnica

M.F.#

Barra 1Barra 2Barra 300.000.53.3916.0329.0739.1046.1350.166-8.810-8.811-4.282-2.753-4.224-8.7000.00123456-18.00

Cortante03.2812.2821.2830.284-0.725-1.726-2.727-3.728-4.7283.3892.38101.38110.3812-0.6213-1.6214-2.62143.65152.65161.65170.6518-0.3519-1.3520-2.3521-3.3522-4.35220.00