Task $6($Max points: $4)$

Consider a cantilevered beam of length $l$ with a free end. Let an external concentrated force $P$ be

applied to the beam at a distance $a=\frac{l}{3}$ from the fixed end. Initially, the beam was strictly

horizontal. It is required to find the displacement $y_1$ of the free end of the beam and the

displacement $y_2$ of the point of application of the force in the vertical direction from the initial position

$($see Fig. $3\mathrm{.}1).$

$y_1=-\frac{4}{81}\frac{P{l}^3}{E{I}_x}$

$y_2=-\frac{P{l}^3}{27E{I}_x}$

$y_1=-\frac{5P{l}^3}{24E{I}_x}$

$y_2=-\frac{P{l}^3}{3E{I}_x}$

Supplementary material:

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