Problem

(a) Find the reactions, and draw and dimension the bending moment diagram for the shaft of...

(a) Find the reactions, and draw and dimension the bending moment diagram for the shaft of Fig. 1. All bearings are on immovable supports at the same elevation. Include the effect of the dead load of the shaft. For the shaft, E = 30,000,000 psi: γ = 0.283 lb/in.3.
(b) Find the values of the reactions if the bearing at C is 1/8 in. lower than the others. Include the effect of the dead load of the shaft.
(c) Let the center support consist of a 6-in. I-beam, 12.5 lb per ft (I = 21.8 in.4), 12 ft long, simply supported, with bearing C at its center. Find the reactions for the shaft, and draw and dimension the bending moment diagram. Neglect effects of the dead loads.
(d) What must the moment of inertia be for a beam supporting the bearing at C if the value of the bending moments, as caused by the 1000-lb loads at points B, C, and D, are to be numerically equal? What will be the deflection of point C?

Neglect effects of the dead loads.

Figure 1

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