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In this assignment we will go through the steps to conduct a basic demand analysis. For this purpose, we will use scanner data obtained from Kraft (now Kraft Heinz). We only use a small sub…Full description
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AE 321 Homework 11 Due in class on December 11, 2013 Problem 1.
Consider a rectangular plate of length l , width h, and unit thickness. Assume that 1 and h are very large compared to the thickness and that there are no body forces. Check whether the following functions are valid Airy stress functions. a bx cy ax 2
by 2
axy ay 3 ay 4
a x 4
y 4
If so, 1) Determine all stress components. 2) Find the necessary tractions on all plate boundaries and draw them.
Problem 2.
An effective way to join two cylinders one inside the other is by shrink-fit. For this purpose the outside diameter of the inner cylinder 2b0 is chosen to be larger than the inner diameter 2b of the outer cylinder by a small amount 2e. Thus, b0=b+e; e<
1
1,
2,
E and . Assume that
Problem 3. A hollow cylinder is subjected to internal pressure p and torque T as shown below (assume
plane strain). The tensile strength of the cylinder material is cylindrical surfaces when the maximum principal stress reaches
0.
If failure occurs on one of the 0,
find the relationship between
p and T at failure, and determine where the maximum principal stress reaches
