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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Question

In a factory, we need to measure, crudely, the weight of the bags of sand up to 61 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 deflection of the beam with a metal scale having graduations of 6,9x10^-2 inches. We think that an uncertainty of 0,7 % at the maximum deflection would be acceptable. What length of steel pipe (in meters) would you recommend us to use in the measurements?

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

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