Instead of a tensile force, consider the bar in Prob. 45
Chapter 4, Problem 4.6(choose chapter or problem)
Instead of a tensile force, consider the bar in Prob. 45 to be loaded by a torque T. (a) Use Eq. (45) in the form of u 5 # l 0 [Ty(GJ)] dx to show that the angle of twist of the tapered portion is u 5 32 3p Tl(d2 1 1 d1d2 1 d2 2) Gd3 1d3 2 (b) Using the same geometry as in Prob. 45b with T 5 1500 lbf ? in and G 5 11.5 Mpsi, determine the angle of twist in degrees for each portion.
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