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Fig. P4.11 Propped cantilever beam. solve using finite element methodQ3 For the beam shown in Figure 3, determine the nodal displacements and slopes, the forcesQ2. For the beam shown in Figure 2, determine the nodal displacements and slopes, theExample 4.6. Cantilever beam under transverse load. Consider the cantilever beam loaded as shown in Figure 4.19. Using one-beam element, we get
(EI)/(L^(3))[[12,6L,-12,6L],[6L,4L^(2),-6L,2L^(2)],[-12,-6L,12,-6L],[6L,2L^(2),-6L,4L^(2)]]{[v_(1)],[\theta _(1)],[v_(2)],[\theta _(2)]}={[F_(1)],[M_(1)],[F_(2)],[M_(2)]}Fig. 4.19 Cantilever beam (Example 4.6). forces in each element, and the reactions.
E=70GPa
I=3\times 10^(-4)m^(4)Figure 2 in each element, and the reactions. )
4Figure 3
