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

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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.13P: -4-13 A propped cantilever beam of a length 2L is loaded by a uniformly distributed load with...

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