3-4. A coupling with 6 bolts connects the two shafts
as shown. The torque applied on the shafts
follows a normal distribution
. Each bolt has a
diameter
, and the bolts are uniformly distributed at
a radius
. The diameter of the shafts is
. Determine the probability that the shear
stress in the bolts is less than the maximum shear stress of the shaft. Assume
that the shear stress in the bolts is uniform. (Ans.
)