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#### karush

##### Well-known member

- Jan 31, 2012

- 2,769

$D=2x^4-5Lx^3+3L^2 x^2$ where $x$ is the distance from on end of the beam.

Find the value of $x$ that yields the maximum deflection.

this is from a unit on inflection points so assume this is $\frac{d^2}{dx^2}$ and also looks like an implicit derivative and quadradic formula from ans. but I can't seem to go in the right direction with this. thnx ahead for suggestions.

Ans $x=\frac{15-√33}{16}L\approx 0.578L$