L= 14 in. (а) P. А B (b) PA A B Зc/5 Зc/5 (с)
A vertical pole of solid, circular cross section
is twisted by horizontal forces P =1100 lb acting
at the ends of a rigid horizontal arm AB (see figure
part a). The distance from the outside of the pole to
the line of action of each force is c = 5.0 in. (see figure
part b) and the pole height is L =14 in.
(a) If the allowable shear stress in the pole is 4500 psi,
what is the minimum required diameter dmin of
the pole?
(b) Find the torsional stiffness of the pole (kip-in./
rad). Assume that G = 10,800 ksi.
(c) If two translational springs, each with stiffness
k = 33kips/in., are added at 2c/5 from A and B
(see figure part c), repeat part (a) to find dmin.
Hint: Consider the pole and pair of springs as
“springs in parallel.”
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