(Solved): Consider the beam represented in Figure 1, whose bending stiffness is constant and equal to EI. This ...
Consider the beam represented in Figure 1, whose bending stiffness is constant and equal to
EI. This beam is subjected to a uniformly distributed moving load of
10k(N)/(m)along 1.5 m . 11 Figure 1 (a) Represent the following influence lines and, for each case, determine the maximum and minimum values of those quantities, identifying the exact location of the corresponding uniformly distributed moving load: i. Bending moment in section
A,M_(A); ii. Shear force in the section immediately before section
B,V_(B^(-)); iii. Shear force in the section immediately after section
B,V_(B^(+)); iv. Bending moment in section
S,M_(S); v. Vertical reaction force in support
B,R_(B)^(v); vi. Vertical reaction force in support
D,R_(D)^(v). (b) What is the relation between the influence lines
V_(B^(-)),V_(B^(+))and
R_(B)^(v)? (c) Represent the influence line of the vertical displacement in section
S,\delta _(S)^(v), identifying the degree of the influence function in each interval and determining the maximum and minimum values. Determine the function that expresses the influence line of
\delta _(S)^(v)(x)for
0.