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A structural component as part of a lifting device is 2 metres long and is subjected to downward forces resulting in a bending moment equation given by:

A structural component as part of a lifting device is 2 metres long and is subjected to downward forces resulting in a bending moment equation given by:

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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A structural component as part of a lifting device is 2 metres long and is subjected to downward forces resulting in a bending moment equation given by: M = -35x? + 20x +20x -1 M = value of the bending moment x = distance from L.H.S. of beam Determine a first order differential equation and use it to find the value of x for which the bending moment is a minimum. Prove this to be the minimum value using higher order derivatives. State any boundary conditions
Transcribed Image Text:A structural component as part of a lifting device is 2 metres long and is subjected to downward forces resulting in a bending moment equation given by: M = -35x? + 20x +20x -1 M = value of the bending moment x = distance from L.H.S. of beam Determine a first order differential equation and use it to find the value of x for which the bending moment is a minimum. Prove this to be the minimum value using higher order derivatives. State any boundary conditions
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