The maximum tensile stress o, from bending of a simply supported beam with length L and circular cross section with diameter D, is given by the expression 8FL , where F is the magnitude of a concentrated force acting in the middle of the beam. If the relative error in estimating the magnitude of the concentrated force F is 10%, the relative error in measuring the length of the beam L is 5% and the relative error in measuring the diameter D of the beam is 2%, estimate the relative error in the maximum tensile stress o.
The maximum tensile stress o, from bending of a simply supported beam with length L and circular cross section with diameter D, is given by the expression 8FL , where F is the magnitude of a concentrated force acting in the middle of the beam. If the relative error in estimating the magnitude of the concentrated force F is 10%, the relative error in measuring the length of the beam L is 5% and the relative error in measuring the diameter D of the beam is 2%, estimate the relative error in the maximum tensile stress o.
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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Transcribed Image Text:The maximum tensile stress o, from bending of a simply supported beam with
length L and circular cross section with diameter D, is given by the expression
8FL
, where F is the magnitude of a concentrated force acting in the middle
of the beam. If the relative error in estimating the magnitude of the concentrated
force F is 10%, the relative error in measuring the length of the beam L is 5% and
the relative error in measuring the diameter D of the beam is 2%, estimate the
relative error in the maximum tensile stress o.
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