3.4 Solved Problems
71
Fig. 3.21 Stepped cantilevered Euler–Bernoulli beam loaded by a single force
Fig. 3.22 Finite difference discretization of the cantilevered Euler–Bernoulli beam based on a four
and b five grid nodes
Application of Eq. (3.27) requires the distribution of the internal bending moment.
The moment balance between the external load and the internal bending moment
gives finally the following relation (0 ≤ X ≤ L):
M Y (X ) = F 0 (L − X ) ,
(3.155)
where the values at the four grid points are summarized in Table 3.7.
71
Fig. 3.21 Stepped cantilevered Euler–Bernoulli beam loaded by a single force
Fig. 3.22 Finite difference discretization of the cantilevered Euler–Bernoulli beam based on a four
and b five grid nodes
Application of Eq. (3.27) requires the distribution of the internal bending moment.
The moment balance between the external load and the internal bending moment
gives finally the following relation (0 ≤ X ≤ L):
M Y (X ) = F 0 (L − X ) ,
(3.155)
where the values at the four grid points are summarized in Table 3.7.