A simply supported beam AB supports a linearly distributed load as shown in the figure. At point C, which at the middle of the span, a rod with length 1 and area A is positioned at a distance d below the beam before the load is applied. Wo A Tª L B 000 Figure 3: Simply supported beam with gap Assume that: d = 10 mm, L = 6 m, E beam = 70 GPa, Erod=200 GPa, I = 198 × 106 mmª, Irod = 1m and Arod = 50 mm². Calculate the magnitude of the load wo so that the rod C experiences a compressive force of 10 kN. Hint: the rod is elastic and it will undergo a deformation as the beam pushes on it, so the change of length of the rod must be taken into account when solving the problem.

A simply supported beam AB supports a linearly distributed load as shown in the figure. At point C, which at the middle of the span, a rod with length 1 and area A is positioned at a distance d below the beam before the load is applied. Wo A Tª L B 000 Figure 3: Simply supported beam with gap Assume that: d = 10 mm, L = 6 m, E beam = 70 GPa, Erod=200 GPa, I = 198 × 106 mmª, Irod = 1m and Arod = 50 mm². Calculate the magnitude of the load wo so that the rod C experiences a compressive force of 10 kN. Hint: the rod is elastic and it will undergo a deformation as the beam pushes on it, so the change of length of the rod must be taken into account when solving the problem.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.6.8P: A simple beam AB supports two concentrated loads P at the positions shown in the figure. A support C...

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