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.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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