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...


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

Extracted 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

Jun 11, 2022
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