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Chapter 5: Axial Deformation
M5.13: Rod and Post with Temperature Change
Try One
State the Problem
Table of Contents
Free-Body Diagram
Equilibrium Equation
Geometry of Deformation Equation
Force-Deformation Relationship
Deformation Equations
Compatibility Equation
Two Equations Involving F
1
and F
2
Compute F
1
and F
2
Compute Normal Stresses
Deflection at Joint B
Compute Deflection at Joint B
Finished
Try One
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The figure shows a cylindrical rod A B on the left labeled 1 of length 1600 millimeters attached to another cylindrical rod B C labeled 2 on the right of length 1800 millimeters by a flange at B. The rods are attached to rigid supports at A and C. The load on the flange is 120 kilo newtons directed to the right along the common axis of the cylinders. The x axis is taken along the axis of the cylinders and the y axis is taken along the rigid support at A and perpendicular to the x axis. The incremental temperature is delta T which equals 25 degrees Celsius.
answers
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