A simply supported beam of span as shown in the figure is subjected to a concentrated load w at its metre span and also to a uniformly distributed load equality w what is the total diffraction it its midpoint.

A simply supported beam of span as shown in the figure is subjected to a concentrated load w at its metre span and also to a uniformly distributed load equality w what is the total diffraction it its midpoint. Correct Answer 13 Wl3/ 384 EI

The total deflection at midpoint of a simply supported beam is y = 5Wl3/ 384 EI + Wl3/ 48 EI y = 13Wl3/ 384 EI.

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The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where $$\delta {\text{S}}$$ = Static deflection of simply supported shaft due to uniformly distributed load)