PV PV kb- (a) kr (b) (c)
A circular tube of inner radius r1 and outer radius r2 is subjected to a torque produced by forces P = 900 lb (see figure part a). The forces have their lines of action at a distance b = 5.5 in. from the outside of the tube.
(a) If the allowable shear stress in the tube is 6300 psi and the inner radius r1 =1.2 in., what is the minimum permissible outer radius r2?
(b) If a torsional spring of stiffness kR = 450 kip-in./rad is added at the end of the tube (see figure part b), what is the maximum value of forces P if the allowable shear stress is not to be exceeded? Assume that the tube has a
length of L =18 in., outer radius of r2 =1.45 in., and shear modulus G =10,800 ksi. Hint: Consider the tube and torsional spring as “springs in
parallel.”
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