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Plan1 Viga Centroide e Inércia Solo B1 (m) 1.00 X Y A X*A Y*A Kv (kN/m²/m) 14000.00 H1 (m) 0.25 Ret 1 0.50 0.125 0.25 0.125 0.031 B2 (m) 0.50 Ret 2 0.50 0.375 0.125 0.063 0.047 H2 (m) 0.25 Σ 0.375 0.188 0.078 L (m) 5.00 Xg (m) 0.500 Ef (kN/m²) 3.00E+07 Yg (m) 0.208 - Só nos interessa em relação ao eixo y Ixg (m^4) 7.16E-03 - Resolvido por matriz inversa!! Reações Δx (m) 0.50 Sistema P x (m) Q (kN) R (kN) M (kN*m) w (m) Eq. Incógnitas 1.0 0.00 0.00 140.00 0.00 0.04000 w1 w2 w3 w4 w5 w6 w7 w8 w9 w10 w11 T.I. 2.0 0.50 0.00 318.31 70.00 0.04547 M2 -8.61E+05 1.72E+06 -8.59E+05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3.0 1.00 -1800.00 356.06 299.16 0.05087 M3 -3.50E+03 -8.63E+05 1.72E+06 -8.59E+05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 4.0 1.50 0.00 391.37 -193.66 0.05591 M4 -5.25E+03 -7.00E+03 -8.63E+05 1.72E+06 -8.59E+05 0.00 0.00 0.00 0.00 0.00 0.00 -900.00 5.0 2.00 0.00 428.26 -490.79 0.06118 M5 -7.00E+03 -1.05E+04 -7.00E+03 -8.63E+05 1.72E+06 -8.59E+05 0.00 0.00 0.00 0.00 0.00 -1800.00 6.0 2.50 0.00 469.14 -573.79 0.06702 M6 -8.75E+03 -1.40E+04 -1.05E+04 -7.00E+03 -8.63E+05 1.72E+06 -8.59E+05 0.00 0.00 0.00 0.00 -2700.00 7.0 3.00 0.00 514.70 -422.22 0.07353 M7 -1.05E+04 -1.75E+04 -1.40E+04 -1.05E+04 -7.00E+03 -8.63E+05 1.72E+06 -8.59E+05 0.00 0.00 0.00 -3600.00 8.0 3.50 0.00 563.70 -13.30 0.08053 M8 -1.23E+04 -2.10E+04 -1.75E+04 -1.40E+04 -1.05E+04 -7.00E+03 -8.63E+05 1.72E+06 -8.59E+05 0.00 0.00 -4500.00 9.0 4.00 -3000.00 612.80 677.47 0.08754 M9 -1.40E+04 -2.45E+04 -2.10E+04 -1.75E+04 -1.40E+04 -1.05E+04 -7.00E+03 -8.63E+05 1.72E+06 -8.59E+05 0.00 -5400.00 10.0 4.50 0.00 656.39 174.64 0.09377 M10 -1.58E+04 -2.80E+04 -2.45E+04 -2.10E+04 -1.75E+04 -1.40E+04 -1.05E+04 -7.00E+03 -8.63E+05 1.72E+06 -8.59E+05 -7800.00 11.0 5.00 0.00 349.28 0.00 0.09979 M11 17500.00 31500.00 28000.00 24500.00 21000.00 17500.00 14000.00 10500.00 7000.00 3500.00 0.00 10200.00 ΣFy 3500.00 7000.00 7000.00 7000.00 7000.00 7000.00 7000.00 7000.00 7000.00 7000.00 3500.00 4800.00 Momentos (kN*m) (Ef*Igx)/ (Δx)² -8.59E+05 Solução M1 0.00 Matriz Inversa M2 70.00 -9.13E-07 -1.42E-06 -1.60E-06 -1.54E-06 -1.32E-06 -1.01E-06 -6.56E-07 -3.35E-07 -9.74E-08 1.35E-05 -2.39E-05 M3 299.16 2.05E-07 -4.09E-07 -7.40E-07 -8.51E-07 -8.02E-07 -6.48E-07 -4.41E-07 -2.33E-07 -6.99E-08 1.15E-05 -1.72E-05 M4 -193.66 1.61E-07 6.04E-07 1.25E-07 -1.55E-07 -2.78E-07 -2.88E-07 -2.25E-07 -1.30E-07 -4.22E-08 9.47E-06 -1.04E-05 M5 -490.79 - Desenhar diagrama de momentos 1.20E-07 4.60E-07 9.99E-07 5.51E-07 2.54E-07 7.86E-08 -4.40E-09 -2.52E-08 -1.38E-08 7.33E-06 -3.38E-06 M6 -573.79 8.23E-08 3.25E-07 7.24E-07 1.27E-06 8.02E-07 4.58E-07 2.25E-07 8.42E-08 1.60E-08 4.97E-06 3.93E-06 M7 -422.22 FEITO NO FTOOL 4.78E-08 2.00E-07 4.67E-07 8.55E-07 1.37E-06 8.55E-07 4.67E-07 2.00E-07 4.78E-08 2.25E-06 1.17E-05 M8 -13.30 1.60E-08 8.42E-08 2.25E-07 4.58E-07 8.02E-07 1.27E-06 7.24E-07 3.25E-07 8.23E-08 -9.80E-07 2.02E-05 M9 677.47 -1.38E-08 -2.52E-08 -4.40E-09 7.86E-08 2.54E-07 5.51E-07 9.99E-07 4.60E-07 1.20E-07 -4.91E-06 2.94E-05 M10 174.64 -4.22E-08 -1.30E-07 -2.25E-07 -2.88E-07 -2.78E-07 -1.55E-07 1.25E-07 6.04E-07 1.61E-07 -9.70E-06 3.95E-05 M11 0.00 -6.99E-08 -2.33E-07 -4.41E-07 -6.48E-07 -8.02E-07 -8.51E-07 -7.40E-07 -4.09E-07 2.05E-07 -1.55E-05 5.02E-05 -9.74E-08 -3.35E-07 -6.56E-07 -1.01E-06 -1.32E-06 -1.54E-06 -1.60E-06 -1.42E-06 -9.13E-07 -2.24E-05 6.14E-05 Reações (kN) R1 140.00 Resultado x (m) w (m) R2 318.31 w1 0.0399997429 0.00 0.04000 R3 356.06 w2 0.0454734782 0.50 0.04547 R4 391.37 w3 0.0508657595 1.00 0.05087 R5 428.26 - Desenhar diagrama de cargas w4 0.0559099317 1.50 0.05591 R6 469.14 w5 0.06117945 - Desenhar diagrama de variação do recalque 2.00 0.06118 R7 514.70 FEITO NO FTOOL w6 0.0670200638 2.50 0.06702 R8 563.70 w7 0.0735283553 3.00 0.07353 R9 612.80 w8 0.0805279521 3.50 0.08053 R10 656.39 w9 0.087543021 4.00 0.08754 R11 349.28 w10 0.0937697605 4.50 0.09377 w11 0.0997932846 5.00 0.09979 Tensão de contato (kN/m²) (q0) q1 560.00 q2 636.63 q3 712.12 q4 782.74 q5 856.51 - Desenhar o diagrama de Tensões de contato q6 938.28 q7 1029.40 q8 1127.39 x(m) q0 (KN/m2) q9 1225.60 0 0 q10 1312.78 0 559.9964005054062 q11 1397.11 0.25 559.9964005054062 q1 559.9964005054062 0.25 636.6286947991473 q2 636.6286947991473 0.75 636.6286947991473 q3 712.12063278640483 0.75 712.12063278640483 q4 782.73904311278523 1.25 712.12063278640483 q5 856.51229948309356 1.25 782.73904311278523 q6 938.28089295381949 1.75 782.73904311278523 q7 1029.3969735799226 1.75 856.51229948309356 q8 1127.3913292341499 2.25 856.51229948309356 q9 1225.6022946604869 2.25 938.28089295381949 q10 1312.7766471893117 2.75 938.28089295381949 q11 1397.1059838963831 2.75 1029.3969735799226 3.25 1029.3969735799226 3.25 1127.3913292341499 3.75 1127.3913292341499 3.75 1225.6022946604869 4.25 1225.6022946604869 4.25 1312.7766471893117 4.75 1312.7766471893117 4.75 1397.1059838963831 5 1397.1059838963831 5 0
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