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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

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 / and area A is positioned at a distance d
below the beam before the load is applied.
Wo
A
017
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, lrod = 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.

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