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a MatLab script called es15118assnm. The script must be well-commented so the graders can follow and grade your work) Problem Consider two long cylinders of two different types of materials where one cylinder fits inside the other one. The inner radius of the inner cylinder is a and its outer radius is b. The outer cylinder has an inner radius of b and an outer radius of The Youngs modulus and Poisson ratio of the inner cylinder are El and vi, respectively, while the outer radius values are E2 and v2. The radial stress, ơrr. hoop stress, age, and radial displacement, u, are given by the following equations: o) +B, where i -1,2 ơeei (r)- + B, where i 1,2 ur(r)--atmA, + (1-ri) rB, where is),2 -A rBi When i-1, it is referring to the inner cylinder and i -2 refers to the outer cylinder. If the outer surface of the outer cylinder is subjected to a compressive radial displacement Uo and the inner surface of the inner cylinder has no radial stress, then the following four boundary conditions can be used to determine Aq. A2. B, and B Ơrr1 (b)-o,T2(b) ui(b)2(b) Constants v 0.4 v2 0.4 E1 3 X 10 psi E2|35X10 psi UO 1 0.01 in a 0.192 in b 0.25 in c 0.312 in 475-dt-content-rid-29256344 1/xid-29256344 1
Determine the hoop stress ơeei (where i-1,2) in the inner and outer cylinders when r given the constants above. b and NOTE. You will need to determine the four equations that only have the variables A1. A2, B, and B2 by using those above and plugging in the constants. Also, the first three equations given above each represent two equations where i I for one equation and i -2 for the other equation. You will be using the symbolic tool kit to solve this problem including usin functions -do not plug in the values using a calculator or creating the equation on paper (everything needs to be substituted using symbolics). Be sure to remember that when you create or change an equation (i e. through substitution, that you need to save it using a variable) g sym, subs and solve
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