7. The simply-supported beam of Figure 7 has flexural rigidity El and is subjected to a distributed load that increases linearly from zero at the ends of the beam to a maximum value of wo per unit length at the center, x= L/2. Wo per unit length L /2 L /2 Figure 7 (i) Write down an expression defining the distributed load, w(x), in terms of discontinuity functions. (ii) Find the bending moment M(x) as a function of x, also in terms of discontinuity functions. (iii) State the boundary conditions that must be satisfied by the beam displacement, v(x). (iv) Find the displacement of the beam at x= L/2.
7. The simply-supported beam of Figure 7 has flexural rigidity El and is subjected to a distributed load that increases linearly from zero at the ends of the beam to a maximum value of wo per unit length at the center, x= L/2. Wo per unit length L /2 L /2 Figure 7 (i) Write down an expression defining the distributed load, w(x), in terms of discontinuity functions. (ii) Find the bending moment M(x) as a function of x, also in terms of discontinuity functions. (iii) State the boundary conditions that must be satisfied by the beam displacement, v(x). (iv) Find the displacement of the beam at x= L/2.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:7. The simply-supported beam of Figure 7 has flexural rigidity EI and is subjected to a
distributed load that increases linearly from zero at the ends of the beam to a maximum value
of wo per unit length at the center, x = L/2.
Wo per unit length
L /2
L/2
Figure 7
(i) Write down an expression defining the distributed load, w(x), in terms of discontinuity
functions.
(ii) Find the bending moment M(x) as a function of x, also in terms of discontinuity functions.
(iii) State the boundary conditions that must be satisfied by the beam displacement, v(x).
(iv) Find the displacement of the beam at x =
L/2.
the simply-supported beam of figure 7 has
flexural rigidity El and is subjected to a
distributed load that increases linearly from
zero at the ends of the beam to a
maximum value of wo per unit length at
the center, x=L/2
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