Cross
2
Processo de Cross 3 Comprimentos dos vãos: Cargas distribuídas: Rigidezes: L1= 3.2 m q1 = 6.0 kN/m EJ1= 3 L2= 3.8 m q2 = 9.0 kN/m EJ2= 2 L3= 4.5 m q3 = 8.0 kN/m EJ3= 4 Momentos de engastamento perfeito: Mb2= 7.68 kN.m Mb1= 10.83 kN.m Mc1= 10.83 kN.m Mc2= 20.25 kN.m Cálculo das rigidezes : k1= 2.813 k2= 2.105 k3= 2.667 Coef. de distribuição : 0.572 0.428 0.441 0.559 Nó B -7.68 10.83 -10.83 20.25 d1= 0.572 -1.80 -1.35 ® -0.67 d2= 0.428 -1.93 ¬ -3.86 -4.89 Nó C 1.10 0.83 ® 0.41 d2= 0.441 -0.09 ¬ -0.18 -0.23 d3= 0.559 0.05 0.04 ® 0.02 Reações de apoio; 0.00 ¬ -0.01 -0.01 7.00 kN 0.00 0.00 ® 0.00 27.51 kN 0.00 ¬ 0.00 0.00 40.25 kN 0.00 0.00 14.64 kN -8.33 8.33 -15.12 15.12 VA= VB= VC= VD=
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Processo de Cross
Cross3vosProcesso de Cross3Comprimentos dos vos:Cargas distribudas:Rigidezes:L1=3.2 mq1 =6.0kN/mEJ1=3L2=3.8 mq2 =9.0kN/mEJ2=2L3=4.5 mq3 =8.0kN/mEJ3=4Momentos de engastamento perfeito:Mb2=7.68Mb1=10.83Mc1=10.83Mc2=20.25Clculo das rigidezes :k1=2.813k2=2.105k3=2.667Coef. de distribuio :0.5720.4280.4410.559N B-7.6810.83-10.8320.25d1=0.572-1.80-1.35-0.67d2=0.428-1.93-3.86-4.89N C1.100.830.41d2=0.441-0.09-0.18-0.23d3=0.5590.050.040.02Reaes de apoio;0.00-0.01-0.01VA=7.00 kN0.000.000.00VB=27.51 kN0.000.000.00VC=40.25 kN0.000.00VD=14.64 kN-8.338.33-15.1215.12
Cross4vosProcesso de Cross3Comprimentos dos vos:Cargas distribudas:Rigidezes:L1=6.0 mq1 =8.0kN/mEJ1=1L2=6.0 mq2 =8.0kN/mEJ2=1L3=8.0 mq3 =8.0kN/mEJ3=1L4=10.0 mq4 =12.0kN/mEJ4=4Momentos de engastamento perfeito:Mb1=36Mb2=24Mc1=24Mc2=42.6666666667Md1=42.6666666667Md2=150Clculo das rigidezes :k1=0.500k2=0.667k3=0.500k4=1.2000.430.570.570.430.290.71Coef. de distribuio :-36.0024.00-24.0042.67-42.67150.00N B5.146.863.43d1=0.429-6.31-12.63-9.47-4.74d2=0.571-15.09-30.18-72.42N C4.318.626.473.23d2=0.5710.861.140.57d3=0.429-0.16-0.33-0.25-0.12N D-0.46-0.92-2.20d3=0.2940.130.260.200.10d4=0.7060.010.020.01Reaes de apoio;-0.00-0.01-0.00-0.00VA=19.00 kN-0.01-0.03-0.07VB=53.99 kN0.000.010.010.00VC=48.60 kN0.00-0.00-0.00-0.00VD=105.94 kNVE=52.47 kN-29.9929.99-24.0624.06-75.3175.31
