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Chapter 5: Axial Deformation
M5.6: Coaxial Tube and Core
Try One
State the Problem
Plan the Solution
Table of Contents
Equilibrium
Geometry of Deformations Equation
Force-Deformation for Members (1) and (2)
Compatibility Equation
Solve Two Equations For the Two Unknowns
Solve for F
1
in Terms of F
2
Solve for F
1
and F
2
Compute Normal Stresses
Finished
Try One
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The figure shows a cylindrical shell A B of length 1700 millimeters labeled 1 enclosing a solid cylindrical rod A B C of which extends 2400 millimeters out of the shell. The cylindrical rod within the shell is marked 2 and that outside the shell is marked 3. Members are fixed to a rigid support at A. The x axis is taken along the common axis of the members and the y axis at A is taken perpendicular to the x axis. A load of 180 kilo newtons acts on the free end C and is directed along the axis towards A. A caption above reads: note, A subscript 3 equals A subscript 2 and Esubscript 3 equals E subscript 2.
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