5elems&5nodesSolution of a linear truss structuremade of 5 bars and 5 nodesApplied Load (F)1.00E+04NBar 01Bar 02Bar 03Bar 04Bar 05D110mmD212mmD315mmD415mmD515mmL12mL22mL33mL43mL53mE12.50E+09PaE22.50E+09PaE32.50E+09PaE42.50E+09PaE52.50E+09PaA17.854E-05m2A21.131E-04m2A31.767E-04m2A41.767E-04m2A51.767E-04m2K19.82E+04K21.41E+05K31.47E+05K41.47E+05K51.47E+05Element Stiffness MatrixElement Stiffness MatrixElement Stiffness MatrixElement Stiffness MatrixElement Stiffness Matrix9.82E+04-9.82E+041.41E+05-1.41E+051.47E+05-1.47E+051.47E+05-1.47E+051.47E+05-1.47E+05-9.82E+049.82E+04-1.41E+051.41E+05-1.47E+051.47E+05-1.47E+051.47E+05-1.47E+051.47E+05Connectivities bar 01Connectivities bar 03Connectivities bar 03Connectivities bar 04Connectivities bar 05Node 11Node 12Node 13Node 13Node 14Node 23Node 23Node 24Node 24Node 25Bar 01 in global stiffness matrixBar 02 in global stiffness matrixBar 03 in global stiffness matrixBar 04 in global stiffness matrixBar 05 in global stiffness matrix98174.7704246810-98174.7704246810000000000000000000000000000141371.669411541-141371.66941154100000000000000000-98174.770424681098174.770424681000-141371.669411541141371.6694115410000147262.155637022-147262.155637022000147262.155637022-147262.155637022000000000000000000-147262.155637022147262.155637022000-147262.155637022147262.1556370220000147262.155637022-147262.15563702200000000000000000000000-147262.155637022147262.155637022Final problemR198174.7704246810-98174.770424681000R20141371.669411541-141371.6694115410000=-98174.770424681-141371.669411541534070.751110265-294524.3112740430*u3000-294524.311274043441786.466911065-147262.155637022u41.00E+04000-147262.155637022147262.155637022u5Linear system to be solved (after applying boundar conditons)0534070.751110265-294524.3112740430u30=-294524.311274043441786.466911065-147262.155637022*u4100000-147262.155637022147262.155637022u5Solution of the linear system0.00000417460.00000417460.000004174600.04174555880.00000417460.00000756990.0000075699*0=7.57E-020.00000417460.00000756990.0000143605100001.44E-01Calculatoin of final deformationu30.042mu40.076mu50.144mValidation of the results-4.10E+0398174.7704246810-98174.770424681000.000-5.90E+030141371.669411541-141371.669411541000.0003.64E-12=-98174.770424681-141371.669411541534070.751110265-294524.3112740430*0.0420.00E+0000-294524.311274043441786.466911065-147262.1556370220.0761.00E+04000-147262.155637022147262.1556370220.144Strains and stressese12.087E-02s152.18MPae22.087E-02s252.18MPae31.132E-02s328.29MPae41.132E-02s428.29MPae52.264E-02s456.59MPa

Sheet2

Sheet3