One hollow cylinder is shrink-fitted inside another. Both cylinders have length L and both the flat faces of each cylinder are constrained in the axial direction. They are free to move in radial and tangential directions. Both cylinders are made of the same material steel. New steel material will be created. Cylinder Inner Cylinder FIGURE 1 SHRINK FIT ASSEMBLY Outside Cylinder Steel: E = 30 x 106 psi Inside Radius r₁=4" R₁=6" FIGURE 2 EXPLODED VIEW OF SHRINK FIT ASSEMBLY Outside Radius r=6.005" R₂=8" Length L=5" L=5" An internal pressure P = 30,000 psi is applied on the inner surface of the inner cylinder. What to Submit: 1. Find the tangential stress distribution at the outside surface of the outer cylinder (r = 8"). 2. Find the tangential stress distribution at the inner surface of the inner cylinder (r = 4") 3. Find the contact pressure developed at the interference location.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 3:
One hollow cylinder is shrink-fitted inside another. Both cylinders have length L and both the flat faces of each
cylinder are constrained in the axial direction. They are free to move in radial and tangential directions. Both
cylinders are made of the same material steel. New steel material will be created.
Cylinder
Inner Cylinder
FIGURE 1 SHRINK FIT ASSEMBLY
Outside Cylinder
Steel: E = 30 x 106 psi
Inside Radius
r;=4"
R₁=6"
FIGURE 2 EXPLODED VIEW OF SHRINK
FIT ASSEMBLY
Outside Radius
r=6.005"
R₂=8"
Length
L = 5"
L = 5"
An internal pressure P = 30,000 psi is applied on the inner surface of the inner cylinder.
What to Submit:
1. Find the tangential stress distribution at the outside surface of the outer cylinder (r = 8").
2. Find the tangential stress distribution at the inner surface of the inner cylinder (r = 4")
3. Find the contact pressure developed at the interference location.
Transcribed Image Text:Problem 3: One hollow cylinder is shrink-fitted inside another. Both cylinders have length L and both the flat faces of each cylinder are constrained in the axial direction. They are free to move in radial and tangential directions. Both cylinders are made of the same material steel. New steel material will be created. Cylinder Inner Cylinder FIGURE 1 SHRINK FIT ASSEMBLY Outside Cylinder Steel: E = 30 x 106 psi Inside Radius r;=4" R₁=6" FIGURE 2 EXPLODED VIEW OF SHRINK FIT ASSEMBLY Outside Radius r=6.005" R₂=8" Length L = 5" L = 5" An internal pressure P = 30,000 psi is applied on the inner surface of the inner cylinder. What to Submit: 1. Find the tangential stress distribution at the outside surface of the outer cylinder (r = 8"). 2. Find the tangential stress distribution at the inner surface of the inner cylinder (r = 4") 3. Find the contact pressure developed at the interference location.
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