A beam of length L=8.1 m is being designed to support a uniform load of intensity q = 9.7 kN/m. If the supports of the beam are placed at the ends, creating a simple beam, the maximum bending moment in the beam is . However, if the supports of the beam are moved symmetrically towards the middle of the beam (as shown in the figure), the maximum bending moment is reduced. Determine the distance 'a' in 'm' between the supports so that the maximum bending moment in the beam has the smallest possible numerical value.

A beam of length L=8.1 m is being designed to support a uniform load of intensity q = 9.7 kN/m. If the supports of the beam are placed at the ends, creating a simple beam, the maximum bending moment in the beam is . However, if the supports of the beam are moved symmetrically towards the middle of the beam (as shown in the figure), the maximum bending moment is reduced. Determine the distance 'a' in 'm' between the supports so that the maximum bending moment in the beam has the smallest possible numerical value.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.5.29P: A beam of length L is designed to support a uniform load of intensity q (see figure). If the...

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