A rotating shaft has the 5000-N centrifugal forces acting as shown in Fig. 1.
(a) Draw the bending moment diagram for the shaft. Note that large stresses are possible, even though bearing reactions are equal to zero.
(b) Suppose an additional bearing is placed in the center of the shaft. Find the reactions, and draw and dimension the bending moment diagram. Ignore the effect of the dead-load deflection. Note how the presence of the central bearing can affect the bearing loads of an engine crankshaft.
Figure 1

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