Answered: In a factory, we need to measure,…

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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In a factory, we need to measure, crudely, the weight of the bags of sand up to 67 kg. We have
decided to use a section of 1-inch Schedule 80 steel pipe (Do=1.315 inch, Di=0.957 inch and E=195 GPa)
as a cantilever beam to accomplish the purpose. We will measure the de?ection of the beam with a metal
scale having graduations of 6,2x10 inches. We think that an uncertainty of 1,8 % at the maximum
de?ection would be acceptable. What length of steel pipe (in meters) would you recommend us to use in
the measurements?

Correct Answer: 1,51

Hint:
3EI
F =
I=(D - D)
64
I:moment of inertia of the cross – section
F: force, E :Young 'smodulus, L:lengthof the beam, y :deflectionof the beam.
D; = Inner Diameter of the pipe D, = Outer Diameter of the pipe
%3D

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