1. Engineering
  2. Computer Science
  3. consider two long cylinders of two different materials where one...

Question: consider two long cylinders of two different materials where one...

Question details

Consider two long cylinders of two different materials where one cylinder just fits inside the other. The inner radius of the inner cylinder is a, and its outer radius is b. The inner radius of the outer cylinder is also b, and its outer radius is c. The Youngs modu- lus and Poisson ratio of the inner cylinder are E and vrespectively, and those of the outer cylinder are E2 and v2, respectively. The radial stress ơm hoop stress ơee, and radi- al displacement u, are given, respectively, by (1-v AB where i 1 refers to the inner cylinder and i 2 to the outer cylinder If the outer surface of the outer cylinder is subjected to a compressive radial dis- placement U, and the inner surface of the inner cylinder has no radial stress, then the following four boundary conditions can be used to determine A, and B,i 1,2: 1,1(b) = ua(b) u2(c) Substituting Eqs. (a) into (b), the following system of equations in matrix form is obtained: 0 b2 Determine the hoop stress in the inner and outer cylinders at r b when b-6.4 mm, and c -1.179 × 107 N/m2) 107 N/m2 and ơe92(b)- 8 mm (Answer: ơon(b) -6.301 Write a MATLAB script that determines the hoop stresses and states the results in command window
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution