|80 mm 160 mm 1.2 m- -0.9 m- - (a) 2.1 m (b) PROBLEM 3.4-6
A shaft with a solid, circular cross section consisting of two segments is
shown in parta of the figure. The left-hand segment has a diameter of 80
mm and length of 1.2 m; the right-hand segment has a diameter of 60
mm and length of 0,9 m.
Shown in part b of the figure is a hollow shaft made of the same material
and having the same length. The thickness tof the hollow shaft is d/10,
where dis the outer diameter. Both shafts are subjected to the same
torque.
a. If the hollow shaft is to have the same torsional stiffness as the
solid shaft, what should be its outer diameter d?
b. If torque T is applied at either end of both shafts and the hollow
shaft is to have the same maximum shear stress as the solid shaft,
what should be its outer diameter d?
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