The bearings for the continuous shaft of Fig. 1 are all at the same elevation.(a) Find the...

The bearings for the continuous shaft of Fig. 1 are all at the same elevation.

(a) Find the value of reaction R2.

---

(b) Suppose the center bearing in Fig. 1 is 0.050 in. lower than the others. Find the value of R2. Note that a small change in the configuration of an indeterminate structure can make a large change in the reactive forces.

---

(c) Suppose the center support in Fig. 1 is replaced by a spring whose constant k is equal to 20,000 lb/in. Find the value of the center reaction.

Figure 1