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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?

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?

Elements Of Electromagnetics
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
Transcribed Image Text: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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