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Chapter 5: Axial Deformation
M5.15: Misfit in Coaxial Members: Link-and-rod
Geometry of Deformation Equation
State the Problem
Plan the Solution
Table of Contents
Equilibrium Equation
Geometry of Deformation Equation
Force-Temperature-Deformation Relationship
Compatibility Equation
Solving for F
1
Compute F
1
Compute F
2
and σ
2
Compute Rod Deformation
Finished
scene
5
of
12
The figure shows the brass link labeled 1 and the steel rod labeled 2. The reference datum is a vertical line passing through the left inside edge of the brass link. The brass link and the steel rod are elongated by delta subscript 2. The length of the steel rod exceeds the inside length of the brass link by 0.2 millimeters.
The elongated lengths of both the link and the rod are now equal.