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Exercício 01 Elemento L [m] E [KN/m²] b [m] h [m] I [m4] 1 1.5 215000000 0.12 0.4 6.40E-04 2 1.5 215000000 0.12 0.4 6.40E-04 K=(EI/L³). 1 2 3 4 5 6 K=(EI/L³). 1 2 3 4 5 6 Elemento 1 >>>> (EI/L³). 1 2 3 4 12 9 -12 9 1 12 9 -12 9 1 12.00 9.00 -12.00 9.00 0.00 0.00 1 9 9 -9 4.5 2 -12 -9 12 -9 3 9 9 -9 4.5 2 9.00 9.00 -9.00 4.50 0.00 0.00 2 9 4.5 -9 9 4 -12 -9 12 -9 3 -12.00 -9.00 24.00 0.00 -12.00 9.00 3 12 9 -12 9 Elemento 2 >>>> (EI/L³). 3 4 5 6 9 4.5 -9 9 4 9.00 4.50 0.00 18.00 -9.00 4.50 4 12 9 -12 9 3 9 9 -9 4.5 9 9 -9 4.5 4 5 0.00 0.00 -12.00 -9.00 12.00 -9.00 5 -12 -9 12 -9 5 -12 -9 12 -9 9 4.5 -9 9 6 6 0.00 0.00 9.00 4.50 -9.00 9.00 6 9 4.5 -9 9 K=(EI/L³) = 4.08E+04 [kN/m] K=(EI/L³) = F2 = 9.78E+05 0.00E+00 3.67E+05 . V2 M2 0.00E+00 7.34E+05 1.83E+05 θ2 F3 3.67E+05 1.83E+05 3.67E+05 θ3 -4.5 = 9.78E+05 0.00E+00 3.67E+05 . V2 9.78E+05 0.00E+00 3.67E+05 1 0.00E+00 7.34E+05 1.83E+05 θ2 0.00E+00 7.34E+05 1.83E+05 0 3.67E+05 1.83E+05 3.67E+05 θ3 3.67E+05 1.83E+05 3.67E+05 -1 V2 = 1.79E-06 5.11E-07 -2.04E-06 . -4.5 -4.5 1.79E-06 5.11E-07 -2.04E-06 θ2 5.11E-07 1.70E-06 -1.36E-06 1 1 5.11E-07 1.70E-06 -1.36E-06 θ3 -2.04E-06 -1.36E-06 5.45E-06 0 0 -2.04E-06 -1.36E-06 5.45E-06 0 V2 -7.54E-06 rad θ2 -5.96E-07 m = -5.96E-04 mm θ3 7.84E-06 rad 0 v1 0 v1 0 θ1 0 θ1 F1 = 4.89E+05 3.67E+05 -4.89E+05 3.67E+05 0.00E+00 0.00E+00 . -7.54E-06 v2 . -7.54E-06 v2 M1 3.67E+05 3.67E+05 -3.67E+05 1.83E+05 0.00E+00 0.00E+00 -5.96E-07 θ2 -5.96E-07 θ2 F3 0.00E+00 0.00E+00 -4.89E+05 -3.67E+05 4.89E+05 -3.67E+05 0 v3 0 v3 7.84E-06 θ3 7.84E-06 θ3 F1 = 3.47 kN M1 = 2.66 kN F3 = 1.03 kN.m Plan1 F1 = K x V1 M1 θ1 F2 V2 M2 θ2 F3 V3 M3 θ3
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