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Chapter 5: Axial Deformation
M5.5: Rod and Post in Series
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Table of Contents
Free-Body Diagram at Flange B
Equilibrium Equation
Geometry of Deformations Equation
Force-Deformation for Members (1) and (2)
Compatibility Equation
Two Equations in Terms of F
1
and F
2
Solve for F
1
and F
2
Calculate F
1
and F
2
Calculate Normal Stresses
Solve for Deflection at B
Finished
Try One
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The figure shows two rods A B and B C labeled 1 and 2 attached by a flange at B. The length of A B is 2100 millimeters and the length of B C is 2700 millimeters. Rod 1 on the left is fixed to a rigid support at A and rod 2 on the right is fixed to a rigid support at C. The x axis is taken along the common axis of the rods and the y axis is taken perpendicular to the axis at the point A. The force on the flange is 95 kilo newtons directed towards the point A.
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