Two steel tubes are shrink-fitted together where the nominal diameters are 40, 45, and 50 mm.Careful measurement before fitting determined the diametral interference between the tubes to be0.062 mm. After the fit, the assembly is subjected to a torque of 900 N ? m and a bending-momentof 675 N ? m. Assuming no slipping between the cylinders, analyze the outer cylinder at the innerand outer radius. Determine the factor of safety using distortion energy with Sy 5 415 MPa.

ENGR 3341 Probability Theory and Statistics Prof. Gelb Week 3 homework solutions Textbook problems: Section 1.5, Problem 27: Consider a communication system. At any given time, the communication channel is in good condition with probability 0:8 and is in bad condition with probability 0:2. An error occurs in a transmission with probability 0:1 if the channel is in good condition and with probability 0:3 if the channel is in bad condition. Let G be the event that the channel is in good condition and E be the event that there is an error in transmission. (a) Complete the following tree diagram: P(EjG) P(G\E)