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.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter9: Time, Temperature, And Mechanical Properties

Section: Chapter Questions

Problem 9.3P

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